From c4a7209bdb82aeb1a140ef5dc2e1f2af69ff6e5b Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Mon, 8 Dec 2025 16:21:36 +0200 Subject: [PATCH 01/15] Loss function based on LnjTinyNew.f. Note that this loss function does not fully match the one described in the paper: Spline-based Nonlinear Biplots; the code includes a penalty term (consistent with the FORTRAN implementation), which is not in the paper. --- src/LnjTinyNew.cpp | 128 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 128 insertions(+) create mode 100644 src/LnjTinyNew.cpp diff --git a/src/LnjTinyNew.cpp b/src/LnjTinyNew.cpp new file mode 100644 index 0000000..5c4472a --- /dev/null +++ b/src/LnjTinyNew.cpp @@ -0,0 +1,128 @@ +#include +#include +using namespace Rcpp; + +// ========== UTILITY FUNCTIONS ========== + +// [[Rcpp::export]] +NumericMatrix matm_rcpp(NumericMatrix A, NumericMatrix B) { + int a1 = A.nrow(); + int a2b1 = A.ncol(); + int b2 = B.ncol(); + + NumericMatrix OUT(a1, b2); + + for(int j = 0; j < b2; j++) { + for(int i = 0; i < a1; i++) { + OUT(i, j) = 0.0; + for(int k = 0; k < a2b1; k++) { + OUT(i, j) += A(i, k) * B(k, j); + } + } + } + + return OUT; +} + +// [[Rcpp::export]] +IntegerVector exind_rcpp(NumericMatrix Z, NumericMatrix X) { + int n = X.nrow(); + int p = X.ncol(); + int nmu = Z.nrow(); + + IntegerVector IND(n); + + for(int i = 0; i < n; i++) { + IND[i] = 0; + double rmin = 1.0e9; + + for(int j = 0; j < nmu; j++) { + double temp1 = 0.0; + for(int k = 0; k < p; k++) { + double diff = X(i, k) - Z(j, k); + temp1 += diff * diff; + } + + if(temp1 < rmin) { + rmin = temp1; + IND[i] = j; + } + } + } + + return IND; +} + + +// [[Rcpp::export]] +double alfunc_rcpp(NumericVector BVEC, + NumericMatrix X, + NumericVector Y, + NumericMatrix M, + NumericVector MU, + double LAMBDA, + double CONST1, + double CONST2, + int U, int V) { + + int n = X.nrow(); + int p = X.ncol(); + int nmu = MU.length(); + + // CRITICAL FIX: Reshape BVEC to match FORTRAN's column-major storage + // FORTRAN stores matrix as: column 1, then column 2, etc. + // This matches R's matrix(bvec, nrow=U+V, ncol=p) + + NumericMatrix B(U + V, p); + + // Fill B column by column (FORTRAN/R style) + int idx = 0; + for(int j = 0; j < p; j++) { + for(int i = 0; i < (U + V); i++) { + B(i, j) = BVEC[idx]; + idx++; + } + } + + // Alternative (more concise): + // for(int i = 0; i < (U + V); i++) { + // for(int j = 0; j < p; j++) { + // B(i, j) = BVEC[i + j * (U + V)]; + // } + // } + + // Z = M %*% B + NumericMatrix Z = matm_rcpp(M, B); + + // Get indices + IntegerVector IND = exind_rcpp(Z, X); + + // Get predictions + NumericVector PRED(n); + for(int i = 0; i < n; i++) { + PRED[i] = MU[IND[i]]; + } + + // Calculate loss term + double temp1 = 0.0; + for(int i = 0; i < n; i++) { + double diff = Y[i] - PRED[i]; + temp1 += diff * diff; + } + + double loss = temp1 / CONST1; + + // Add penalty term if lambda > 0 + if(LAMBDA > 0.0 && nmu > 2) { + double temp2 = 0.0; + for(int j = 0; j < p; j++) { + for(int i = 1; i < (nmu - 1); i++) { + double diff = Z(i - 1, j) - 2.0 * Z(i, j) + Z(i + 1, j); + temp2 += diff * diff; + } + } + loss += LAMBDA * temp2 / CONST2; + } + + return loss; +} From f28901b3c9acf710e4b20e0007bdf4d59c2563df Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Mon, 8 Dec 2025 17:10:45 +0200 Subject: [PATCH 02/15] Created a temporary folder for testing examples; this can be removed before merging. The folder is added to .Rbuildignore so it does not affect the package. --- tests/temp/replace_fortran_with_Rcpp.R.R | 239 +++++++++++++++++++++++ 1 file changed, 239 insertions(+) create mode 100644 tests/temp/replace_fortran_with_Rcpp.R.R diff --git a/tests/temp/replace_fortran_with_Rcpp.R.R b/tests/temp/replace_fortran_with_Rcpp.R.R new file mode 100644 index 0000000..a2132a9 --- /dev/null +++ b/tests/temp/replace_fortran_with_Rcpp.R.R @@ -0,0 +1,239 @@ + + +library(Rcpp) + +library(splines) + + +# chenge this path according to your system +sourceCpp("C:\\Users\\29827094\\Documents\\GitHub\\biplotEZ\\src\\LnjTinyNew.cpp") + +#The following function exactly follows the main function in the library (R/plot2D.R). +biplot.spline.axis <- function(j, X, Y, means, sd, + n.int, spline.control, dmeth=0, ...) { + + n <- nrow(X) + p <- ncol(X) + if (n > 103) { + my.sample <- sample(1:n, size=103, replace=F) + X <- X[my.sample,] + Y <- Y[my.sample,] + n <- nrow(X) + } + + tau <- spline.control$tau + nmu <- spline.control$nmu + u <- spline.control$u + v <- spline.control$v + lambda <- spline.control$lambda + smallsigma <- spline.control$smallsigma + bigsigma <- spline.control$bigsigma + gamma <- spline.control$gamma + bigsigmaactivate <- spline.control$bigsigmaactivate + eps <- spline.control$eps + tiny <- spline.control$tiny + itmax <- spline.control$itmax + ftol <- spline.control$ftol + + cat("Calculating spline axis for variable", j, "using optim\n") + + if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") + + Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), + center=-1*means, scale=FALSE) + + ytilde <- Ytilde[,j] + mutilde <- seq(from=min(ytilde), to=max(ytilde), length.out=nmu) + y <- Y[,j] + rangey <- max(y) - min(y) + mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=nmu) + markers <- (pretty(ytilde) - means[j]) / sd[j] + mu <- sort(c(mu, markers)) + mu <- unique(mu) + nmu <- length(mu) + + if (v > 0) { + knots <- seq.int(from=0, to=1, length.out=v+2)[-c(1, v+2)] + knots <- stats::quantile(y, knots) + M <- splines::bs(mu, knots=knots, degree=u, intercept=FALSE) + } else { + M <- splines::bs(mu, df=u+v, degree=u, intercept=FALSE) + } + + M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) + Zreg <- mu%*%Breg / sum(Breg^2) + Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) + + const1 <- sum(y^2) + const2 <- sum(X^2) / (n*p) + + # ======================================== + # The Fortran call has been replaced by the following R function + # ======================================== + + optimtouse <- function(Bvec) { + timetemp <- proc.time()[3] + + # Use R's optim (single-stage) + obj_fn <- function(bvec) { + alfunc_rcpp(bvec, X, y, M, mu, lambda, const1, const2, u, v) + } + + result <- optim( + par = Bvec, + fn = obj_fn, + method = "Nelder-Mead", + control = list(maxit = itmax, reltol = ftol, trace = 0) + ) + + if(result$convergence > 0) { + cat(" Warning: convergence =", result$convergence, "\n") + } + + aa <- list( + BestValue = result$value, + BestSolution = result$par, + ConvergenceCode = result$convergence, + iter1 = NA, + iter = result$counts['function'], + TimeTaken = proc.time()[3] - timetemp + ) + + aa + } + + EuclidDist2 <- function(X, Y) { + n <- nrow(X) + m <- nrow(Y) + bx <- rowSums(X^2) + by <- rowSums(Y^2) + outer(bx, by, FUN = "+") - 2 * X %*% t(Y) + } + + # Variable initialization + outBestValues <- rep(NA, gamma+1) + outBestSolutions <- matrix(nrow=2*(u+v), ncol=gamma+1) + outTimeTaken <- rep(NA, gamma+1) + BestSolutionsFrequency <- rep(NA, gamma+1) + BestSolutionsIndices <- rep(NA, gamma+1) + + # Initial coefficients + temp <- optimtouse(Bvec) + outBestValues[1] <- temp$BestValue + outBestSolutions[,1] <- temp$BestSolution + outTimeTaken[1] <- temp$TimeTaken + BestSolutionsFrequency[1] <- 1 + BestSolutionsIndices[1] <- 1 + DistinctSolutions <- 1 + PreviousBestSolution <- NA + nSameSolutionConsecutively <- 0 + + # Multi-start optimization + for (gammacounter in 2:(gamma+1)) { + if (nSameSolutionConsecutively >= bigsigmaactivate) { + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + + stats::rnorm((u+v)*2, mean=0, sd=bigsigma)) + } else { + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + + stats::rnorm((u+v)*2, mean=0, sd=smallsigma)) + } + + outTimeTaken[gammacounter] <- temp$TimeTaken + tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution, nrow=1), + t(outBestSolutions[,1:DistinctSolutions])) + + if (any(tempSquaredDistances < eps)) { + BestSolutionsIndices[gammacounter] <- tempAA <- which.min(tempSquaredDistances) + BestSolutionsFrequency[tempAA] <- BestSolutionsFrequency[tempAA] + 1 + if (!is.na(PreviousBestSolution) && tempAA == PreviousBestSolution) { + nSameSolutionConsecutively <- nSameSolutionConsecutively + 1 + } else { + PreviousBestSolution <- tempAA + nSameSolutionConsecutively <- 0 + } + } else { + DistinctSolutions <- DistinctSolutions + 1 + outBestValues[DistinctSolutions] <- temp$BestValue + outBestSolutions[,DistinctSolutions] <- temp$BestSolution + BestSolutionsFrequency[DistinctSolutions] <- 1 + BestSolutionsIndices[gammacounter] <- DistinctSolutions + nSameSolutionConsecutively <- 0 + } + } + + axis.points <- cbind(M %*% matrix(outBestSolutions[,which.min(outBestValues)], ncol=2), + mu, 0) + + for (i in 1:nrow(axis.points)) { + if (any(zapsmall(axis.points[i,3] - markers) == 0)) { + axis.points[i, 4] <- 1 + } + } + + axis.points[,3] <- axis.points[,3] * sd[j] + means[j] + + # Return with attributes + attr(axis.points, "loss") <- min(outBestValues, na.rm=TRUE) + attr(axis.points, "bvec") <- outBestSolutions[,which.min(outBestValues)] + attr(axis.points, "total_time") <- sum(outTimeTaken, na.rm=TRUE) + attr(axis.points, "distinct_solutions") <- DistinctSolutions + + axis.points +} + + + +set.seed(123) + +n <- 150 +p <- 2 +Y <- matrix(rnorm(n * 2), ncol = 2) +Y[, 2] <- Y[, 1] + rnorm(n, 0, 0.5) + +means <- colMeans(Y) +sd <- apply(Y, 2, sd) +X <- Y[, 1:2] + matrix(rnorm(n * p, 0, 0.3), ncol = p) + +spline.control <- list( + tau = 0.01, nmu = 10, u = 3, v = 0, lambda = 0.1, + smallsigma = 0.1, bigsigma = 1.0, gamma = 3, bigsigmaactivate = 2, + eps = 1e-6, tiny = 1e-4, itmax = 500, ftol = 1e-4 +) + +j <- 1 +y <- Y[, j] +rangey <- max(y) - min(y) +mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=50) +M <- splines::bs(mu, df=3, degree=3, intercept=FALSE) +M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + +const1 <- sum(y^2) +const2 <- sum(X^2) / (n*p) +lambda <- 0.1 +u <- 3 +v <- 0 + +# Test Bvec +Bvec_test <- rnorm((u+v)*p) + +result_optim <- biplot.spline.axis( + j = 1, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, + dmeth = 0 +) + +loss <- attr(result_optim, "loss") + + +par(mfrow = c(1, 1), mar = c(4, 4, 3, 1)) + +plot(X[, 1], X[, 2], pch = 19, col = "gray70", + xlab = "Dim 1", ylab = "Dim 2", + main = sprintf("R optim (Loss=%.4f)", loss), asp = 1) +grid() +lines(result_optim[, 1], result_optim[, 2], col = "darkgreen", lwd = 2) + + + + From ef49228d66e535904d0da7d9834cbcc5be679b06 Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Mon, 8 Dec 2025 17:13:57 +0200 Subject: [PATCH 03/15] Add the temporary example folder to .Rbuildignore. --- .Rbuildignore | 2 ++ 1 file changed, 2 insertions(+) diff --git a/.Rbuildignore b/.Rbuildignore index 61bcf25..0aa0152 100644 --- a/.Rbuildignore +++ b/.Rbuildignore @@ -8,3 +8,5 @@ ^CRAN-SUBMISSION$ ^doc$ ^Meta$ +^examples/temp/ + From 864326b308d748651e991ae0b3d4785469ee3b53 Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Mon, 8 Dec 2025 18:51:41 +0200 Subject: [PATCH 04/15] Remove temporary example file --- tests/temp/replace_fortran_with_Rcpp.R.R | 239 ----------------------- 1 file changed, 239 deletions(-) delete mode 100644 tests/temp/replace_fortran_with_Rcpp.R.R diff --git a/tests/temp/replace_fortran_with_Rcpp.R.R b/tests/temp/replace_fortran_with_Rcpp.R.R deleted file mode 100644 index a2132a9..0000000 --- a/tests/temp/replace_fortran_with_Rcpp.R.R +++ /dev/null @@ -1,239 +0,0 @@ - - -library(Rcpp) - -library(splines) - - -# chenge this path according to your system -sourceCpp("C:\\Users\\29827094\\Documents\\GitHub\\biplotEZ\\src\\LnjTinyNew.cpp") - -#The following function exactly follows the main function in the library (R/plot2D.R). -biplot.spline.axis <- function(j, X, Y, means, sd, - n.int, spline.control, dmeth=0, ...) { - - n <- nrow(X) - p <- ncol(X) - if (n > 103) { - my.sample <- sample(1:n, size=103, replace=F) - X <- X[my.sample,] - Y <- Y[my.sample,] - n <- nrow(X) - } - - tau <- spline.control$tau - nmu <- spline.control$nmu - u <- spline.control$u - v <- spline.control$v - lambda <- spline.control$lambda - smallsigma <- spline.control$smallsigma - bigsigma <- spline.control$bigsigma - gamma <- spline.control$gamma - bigsigmaactivate <- spline.control$bigsigmaactivate - eps <- spline.control$eps - tiny <- spline.control$tiny - itmax <- spline.control$itmax - ftol <- spline.control$ftol - - cat("Calculating spline axis for variable", j, "using optim\n") - - if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") - - Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), - center=-1*means, scale=FALSE) - - ytilde <- Ytilde[,j] - mutilde <- seq(from=min(ytilde), to=max(ytilde), length.out=nmu) - y <- Y[,j] - rangey <- max(y) - min(y) - mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=nmu) - markers <- (pretty(ytilde) - means[j]) / sd[j] - mu <- sort(c(mu, markers)) - mu <- unique(mu) - nmu <- length(mu) - - if (v > 0) { - knots <- seq.int(from=0, to=1, length.out=v+2)[-c(1, v+2)] - knots <- stats::quantile(y, knots) - M <- splines::bs(mu, knots=knots, degree=u, intercept=FALSE) - } else { - M <- splines::bs(mu, df=u+v, degree=u, intercept=FALSE) - } - - M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) - Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) - Zreg <- mu%*%Breg / sum(Breg^2) - Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) - - const1 <- sum(y^2) - const2 <- sum(X^2) / (n*p) - - # ======================================== - # The Fortran call has been replaced by the following R function - # ======================================== - - optimtouse <- function(Bvec) { - timetemp <- proc.time()[3] - - # Use R's optim (single-stage) - obj_fn <- function(bvec) { - alfunc_rcpp(bvec, X, y, M, mu, lambda, const1, const2, u, v) - } - - result <- optim( - par = Bvec, - fn = obj_fn, - method = "Nelder-Mead", - control = list(maxit = itmax, reltol = ftol, trace = 0) - ) - - if(result$convergence > 0) { - cat(" Warning: convergence =", result$convergence, "\n") - } - - aa <- list( - BestValue = result$value, - BestSolution = result$par, - ConvergenceCode = result$convergence, - iter1 = NA, - iter = result$counts['function'], - TimeTaken = proc.time()[3] - timetemp - ) - - aa - } - - EuclidDist2 <- function(X, Y) { - n <- nrow(X) - m <- nrow(Y) - bx <- rowSums(X^2) - by <- rowSums(Y^2) - outer(bx, by, FUN = "+") - 2 * X %*% t(Y) - } - - # Variable initialization - outBestValues <- rep(NA, gamma+1) - outBestSolutions <- matrix(nrow=2*(u+v), ncol=gamma+1) - outTimeTaken <- rep(NA, gamma+1) - BestSolutionsFrequency <- rep(NA, gamma+1) - BestSolutionsIndices <- rep(NA, gamma+1) - - # Initial coefficients - temp <- optimtouse(Bvec) - outBestValues[1] <- temp$BestValue - outBestSolutions[,1] <- temp$BestSolution - outTimeTaken[1] <- temp$TimeTaken - BestSolutionsFrequency[1] <- 1 - BestSolutionsIndices[1] <- 1 - DistinctSolutions <- 1 - PreviousBestSolution <- NA - nSameSolutionConsecutively <- 0 - - # Multi-start optimization - for (gammacounter in 2:(gamma+1)) { - if (nSameSolutionConsecutively >= bigsigmaactivate) { - temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + - stats::rnorm((u+v)*2, mean=0, sd=bigsigma)) - } else { - temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + - stats::rnorm((u+v)*2, mean=0, sd=smallsigma)) - } - - outTimeTaken[gammacounter] <- temp$TimeTaken - tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution, nrow=1), - t(outBestSolutions[,1:DistinctSolutions])) - - if (any(tempSquaredDistances < eps)) { - BestSolutionsIndices[gammacounter] <- tempAA <- which.min(tempSquaredDistances) - BestSolutionsFrequency[tempAA] <- BestSolutionsFrequency[tempAA] + 1 - if (!is.na(PreviousBestSolution) && tempAA == PreviousBestSolution) { - nSameSolutionConsecutively <- nSameSolutionConsecutively + 1 - } else { - PreviousBestSolution <- tempAA - nSameSolutionConsecutively <- 0 - } - } else { - DistinctSolutions <- DistinctSolutions + 1 - outBestValues[DistinctSolutions] <- temp$BestValue - outBestSolutions[,DistinctSolutions] <- temp$BestSolution - BestSolutionsFrequency[DistinctSolutions] <- 1 - BestSolutionsIndices[gammacounter] <- DistinctSolutions - nSameSolutionConsecutively <- 0 - } - } - - axis.points <- cbind(M %*% matrix(outBestSolutions[,which.min(outBestValues)], ncol=2), - mu, 0) - - for (i in 1:nrow(axis.points)) { - if (any(zapsmall(axis.points[i,3] - markers) == 0)) { - axis.points[i, 4] <- 1 - } - } - - axis.points[,3] <- axis.points[,3] * sd[j] + means[j] - - # Return with attributes - attr(axis.points, "loss") <- min(outBestValues, na.rm=TRUE) - attr(axis.points, "bvec") <- outBestSolutions[,which.min(outBestValues)] - attr(axis.points, "total_time") <- sum(outTimeTaken, na.rm=TRUE) - attr(axis.points, "distinct_solutions") <- DistinctSolutions - - axis.points -} - - - -set.seed(123) - -n <- 150 -p <- 2 -Y <- matrix(rnorm(n * 2), ncol = 2) -Y[, 2] <- Y[, 1] + rnorm(n, 0, 0.5) - -means <- colMeans(Y) -sd <- apply(Y, 2, sd) -X <- Y[, 1:2] + matrix(rnorm(n * p, 0, 0.3), ncol = p) - -spline.control <- list( - tau = 0.01, nmu = 10, u = 3, v = 0, lambda = 0.1, - smallsigma = 0.1, bigsigma = 1.0, gamma = 3, bigsigmaactivate = 2, - eps = 1e-6, tiny = 1e-4, itmax = 500, ftol = 1e-4 -) - -j <- 1 -y <- Y[, j] -rangey <- max(y) - min(y) -mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=50) -M <- splines::bs(mu, df=3, degree=3, intercept=FALSE) -M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) - -const1 <- sum(y^2) -const2 <- sum(X^2) / (n*p) -lambda <- 0.1 -u <- 3 -v <- 0 - -# Test Bvec -Bvec_test <- rnorm((u+v)*p) - -result_optim <- biplot.spline.axis( - j = 1, X = X, Y = Y, means = means, sd = sd, - n.int = NULL, spline.control = spline.control, - dmeth = 0 -) - -loss <- attr(result_optim, "loss") - - -par(mfrow = c(1, 1), mar = c(4, 4, 3, 1)) - -plot(X[, 1], X[, 2], pch = 19, col = "gray70", - xlab = "Dim 1", ylab = "Dim 2", - main = sprintf("R optim (Loss=%.4f)", loss), asp = 1) -grid() -lines(result_optim[, 1], result_optim[, 2], col = "darkgreen", lwd = 2) - - - - From 300a67983d37d4766c1170bbced1834ee965183d Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Mon, 8 Dec 2025 18:54:12 +0200 Subject: [PATCH 05/15] Example is extended to multivariate responses --- tests/temp/replace_fortran_with_Rcpp.R | 285 +++++++++++++++++++++++++ 1 file changed, 285 insertions(+) create mode 100644 tests/temp/replace_fortran_with_Rcpp.R diff --git a/tests/temp/replace_fortran_with_Rcpp.R b/tests/temp/replace_fortran_with_Rcpp.R new file mode 100644 index 0000000..cda4cad --- /dev/null +++ b/tests/temp/replace_fortran_with_Rcpp.R @@ -0,0 +1,285 @@ + + +library(Rcpp) + +library(splines) + + +# chenge this path according to your system +sourceCpp("C:\\Users\\29827094\\Documents\\GitHub\\biplotEZ\\src\\LnjTinyNew.cpp") + +#The following function exactly follows the main function in the library (R/plot2D.R). +biplot.spline.axis <- function(j, X, Y, means, sd, + n.int, spline.control, dmeth=0, ...) { + + n <- nrow(X) + p <- ncol(X) + if (n > 103) { + my.sample <- sample(1:n, size=103, replace=F) + X <- X[my.sample,] + Y <- Y[my.sample,] + n <- nrow(X) + } + + tau <- spline.control$tau + nmu <- spline.control$nmu + u <- spline.control$u + v <- spline.control$v + lambda <- spline.control$lambda + smallsigma <- spline.control$smallsigma + bigsigma <- spline.control$bigsigma + gamma <- spline.control$gamma + bigsigmaactivate <- spline.control$bigsigmaactivate + eps <- spline.control$eps + tiny <- spline.control$tiny + itmax <- spline.control$itmax + ftol <- spline.control$ftol + + cat("Calculating spline axis for variable", j, "using optim\n") + + if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") + + Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), + center=-1*means, scale=FALSE) + + ytilde <- Ytilde[,j] + mutilde <- seq(from=min(ytilde), to=max(ytilde), length.out=nmu) + y <- Y[,j] + rangey <- max(y) - min(y) + mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=nmu) + markers <- (pretty(ytilde) - means[j]) / sd[j] + mu <- sort(c(mu, markers)) + mu <- unique(mu) + nmu <- length(mu) + + if (v > 0) { + knots <- seq.int(from=0, to=1, length.out=v+2)[-c(1, v+2)] + knots <- stats::quantile(y, knots) + M <- splines::bs(mu, knots=knots, degree=u, intercept=FALSE) + } else { + M <- splines::bs(mu, df=u+v, degree=u, intercept=FALSE) + } + + M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) + Zreg <- mu%*%Breg / sum(Breg^2) + Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) + + const1 <- sum(y^2) + const2 <- sum(X^2) / (n*p) + + # ======================================== + # The Fortran call has been replaced by the following R function + # ======================================== + + optimtouse <- function(Bvec) { + timetemp <- proc.time()[3] + + # Use R's optim (single-stage) + obj_fn <- function(bvec) { + alfunc_rcpp(bvec, X, y, M, mu, lambda, const1, const2, u, v) + } + + result <- optim( + par = Bvec, + fn = obj_fn, + method = "Nelder-Mead", + control = list(maxit = itmax, reltol = ftol, trace = 0) + ) + + if(result$convergence > 0) { + cat(" Warning: convergence =", result$convergence, "\n") + } + + aa <- list( + BestValue = result$value, + BestSolution = result$par, + ConvergenceCode = result$convergence, + iter1 = NA, + iter = result$counts['function'], + TimeTaken = proc.time()[3] - timetemp + ) + + aa + } + + EuclidDist2 <- function(X, Y) { + n <- nrow(X) + m <- nrow(Y) + bx <- rowSums(X^2) + by <- rowSums(Y^2) + outer(bx, by, FUN = "+") - 2 * X %*% t(Y) + } + + # Variable initialization + outBestValues <- rep(NA, gamma+1) + outBestSolutions <- matrix(nrow=2*(u+v), ncol=gamma+1) + outTimeTaken <- rep(NA, gamma+1) + BestSolutionsFrequency <- rep(NA, gamma+1) + BestSolutionsIndices <- rep(NA, gamma+1) + + # Initial coefficients + temp <- optimtouse(Bvec) + outBestValues[1] <- temp$BestValue + outBestSolutions[,1] <- temp$BestSolution + outTimeTaken[1] <- temp$TimeTaken + BestSolutionsFrequency[1] <- 1 + BestSolutionsIndices[1] <- 1 + DistinctSolutions <- 1 + PreviousBestSolution <- NA + nSameSolutionConsecutively <- 0 + + # Multi-start optimization + for (gammacounter in 2:(gamma+1)) { + if (nSameSolutionConsecutively >= bigsigmaactivate) { + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + + stats::rnorm((u+v)*2, mean=0, sd=bigsigma)) + } else { + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + + stats::rnorm((u+v)*2, mean=0, sd=smallsigma)) + } + + outTimeTaken[gammacounter] <- temp$TimeTaken + tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution, nrow=1), + t(outBestSolutions[,1:DistinctSolutions])) + + if (any(tempSquaredDistances < eps)) { + BestSolutionsIndices[gammacounter] <- tempAA <- which.min(tempSquaredDistances) + BestSolutionsFrequency[tempAA] <- BestSolutionsFrequency[tempAA] + 1 + if (!is.na(PreviousBestSolution) && tempAA == PreviousBestSolution) { + nSameSolutionConsecutively <- nSameSolutionConsecutively + 1 + } else { + PreviousBestSolution <- tempAA + nSameSolutionConsecutively <- 0 + } + } else { + DistinctSolutions <- DistinctSolutions + 1 + outBestValues[DistinctSolutions] <- temp$BestValue + outBestSolutions[,DistinctSolutions] <- temp$BestSolution + BestSolutionsFrequency[DistinctSolutions] <- 1 + BestSolutionsIndices[gammacounter] <- DistinctSolutions + nSameSolutionConsecutively <- 0 + } + } + + axis.points <- cbind(M %*% matrix(outBestSolutions[,which.min(outBestValues)], ncol=2), + mu, 0) + + for (i in 1:nrow(axis.points)) { + if (any(zapsmall(axis.points[i,3] - markers) == 0)) { + axis.points[i, 4] <- 1 + } + } + + axis.points[,3] <- axis.points[,3] * sd[j] + means[j] + + # Return with attributes + attr(axis.points, "loss") <- min(outBestValues, na.rm=TRUE) + attr(axis.points, "bvec") <- outBestSolutions[,which.min(outBestValues)] + attr(axis.points, "total_time") <- sum(outTimeTaken, na.rm=TRUE) + attr(axis.points, "distinct_solutions") <- DistinctSolutions + + axis.points +} + + + + + + +set.seed(123) + +n <- 80 +p <- 2 + + +n_vars <- 4 +Y <- matrix(rnorm(n * n_vars), ncol = n_vars) + +Y[, 2] <- Y[, 1] + rnorm(n, 0, 0.5) +Y[, 3] <- -Y[, 1] + rnorm(n, 0, 0.5) +Y[, 4] <- Y[, 2] + Y[, 3] + rnorm(n, 0, 0.5) + +means <- colMeans(Y) +sd <- apply(Y, 2, sd) + +X <- Y[, 1:2] + matrix(rnorm(n * p, 0, 0.3), ncol = p) + + +spline.control <- list( + tau = 0.01, nmu = 10, u = 3, v = 0, lambda = 0.1, + smallsigma = 0.1, bigsigma = 1.0, gamma = 3, bigsigmaactivate = 2, + eps = 1e-6, tiny = 1e-4, itmax = 500, ftol = 1e-4 +) + +j <- 1 +y <- Y[, j] +rangey <- max(y) - min(y) +mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=50) +M <- splines::bs(mu, df=3, degree=3, intercept=FALSE) +M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + +const1 <- sum(y^2) +const2 <- sum(X^2) / (n*p) +lambda <- 0.1 +u <- 3 +v <- 0 + +# Test Bvec +Bvec_test <- rnorm((u+v)*p) + +result_optim <- biplot.spline.axis( + j = 1, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, + dmeth = 0 +) + +loss <- attr(result_optim, "loss") + + +par(mfrow = c(1, 1), mar = c(4, 4, 3, 1)) + +plot(X[, 1], X[, 2], pch = 19, col = "gray70", + xlab = "Dim 1", ylab = "Dim 2", + main = sprintf("R optim (Loss=%.4f)", loss), asp = 1) +grid() +lines(result_optim[, 1], result_optim[, 2], col = "darkgreen", lwd = 2) + + +#All variables + +all_results <- list() +all_losses <- numeric(n_vars) + +for(j in 1:n_vars) { + cat("\nProcessing variable", j, "...\n") + all_results[[j]] <- biplot.spline.axis( + j = j, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, dmeth = 0 + ) + all_losses[j] <- attr(all_results[[j]], "loss") + cat(" Loss:", all_losses[j], "\n") + cat(" Distinct solutions:", attr(all_results[[j]], "distinct_solutions"), "\n") +} + + +par(mfrow = c(1, 1), mar = c(4, 4, 3, 1)) +plot(X[, 1], X[, 2], + pch = 19, col = "gray70", + xlab = "Dimension 1", ylab = "Dimension 2", + main = "All Spline Axes (optim method)", + asp = 1) +grid() + +colors <- c("blue", "red", "green", "purple") +for(j in 1:n_vars) { + lines(all_results[[j]][, 1], all_results[[j]][, 2], + col = colors[j], lwd = 2) + # Label the axis + mid <- ceiling(nrow(all_results[[j]]) / 2) + text(all_results[[j]][mid, 1], all_results[[j]][mid, 2], + paste("Var", j), pos = 3, col = colors[j], font = 2) +} + +legend("topright", legend = paste("Variable", 1:n_vars), + col = colors, lwd = 2, cex = 0.8) From 7a8510f156f8184ede3965cf649ff30a6b1b0681 Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Tue, 9 Dec 2025 12:46:41 +0200 Subject: [PATCH 06/15] Some minor corrections to the biplot.spline.axis function to improve its alignment with the Fortran implementation. --- tests/temp/replace_fortran_with_Rcpp.R | 59 +++++++++++++++++++++----- 1 file changed, 48 insertions(+), 11 deletions(-) diff --git a/tests/temp/replace_fortran_with_Rcpp.R b/tests/temp/replace_fortran_with_Rcpp.R index cda4cad..31fdca2 100644 --- a/tests/temp/replace_fortran_with_Rcpp.R +++ b/tests/temp/replace_fortran_with_Rcpp.R @@ -35,7 +35,7 @@ biplot.spline.axis <- function(j, X, Y, means, sd, itmax <- spline.control$itmax ftol <- spline.control$ftol - cat("Calculating spline axis for variable", j, "using optim\n") + cat("Calculating spline axis for variable", j) if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") @@ -69,13 +69,13 @@ biplot.spline.axis <- function(j, X, Y, means, sd, const2 <- sum(X^2) / (n*p) # ======================================== - # The Fortran call has been replaced by the following R function - # ======================================== - + #The Fortran call has been replaced by the following R function + #Note: We can add the fortran function here and make it optional using if-else which uses opti or fortrnran. + #========================================= optimtouse <- function(Bvec) { timetemp <- proc.time()[3] - # Use R's optim (single-stage) + # Use R's optim obj_fn <- function(bvec) { alfunc_rcpp(bvec, X, y, M, mu, lambda, const1, const2, u, v) } @@ -99,7 +99,41 @@ biplot.spline.axis <- function(j, X, Y, means, sd, iter = result$counts['function'], TimeTaken = proc.time()[3] - timetemp ) + #========================================== + #Note (Iportant): + #To align with the Fortran code, we should uncomment the following code (and comment out the upper part of the code that corresponds to the code below): + #========================================== + # Stage 1 + # result1 <- optim( + # par = Bvec, + # fn = obj_fn, + # method = "Nelder-Mead", + # control = list(maxit = itmax, reltol = ftol, trace = 0) + # ) + # # Stage 2 starting from Stage 1 result + # result2 <- optim( + # par = result1$par, + # fn = obj_fn, + # method = "Nelder-Mead", + # control = list(maxit = itmax, reltol = ftol, trace = 0) + # ) + + # if(result2$convergence > 0) { + # if(result2$convergence == 1) { + # warning("Maximum iterations reached. Increase itmax.\n") + # } + # } + + + # aa <- list( + # BestValue = result2$value, + # BestSolution = result2$par, + # ConvergenceCode = result2$convergence, + # iter1 = result1$counts['function'], + # iter = result2$counts['function'], + # TimeTaken = proc.time()[3] - timetemp + # ) aa } @@ -189,7 +223,7 @@ biplot.spline.axis <- function(j, X, Y, means, sd, set.seed(123) -n <- 80 +n <- 180 p <- 2 @@ -205,11 +239,12 @@ sd <- apply(Y, 2, sd) X <- Y[, 1:2] + matrix(rnorm(n * p, 0, 0.3), ncol = p) - +u <- 3 +v <- 2 spline.control <- list( - tau = 0.01, nmu = 10, u = 3, v = 0, lambda = 0.1, + tau = 0.01, nmu = 10, u = u, v = v, lambda = 0.1, smallsigma = 0.1, bigsigma = 1.0, gamma = 3, bigsigmaactivate = 2, - eps = 1e-6, tiny = 1e-4, itmax = 500, ftol = 1e-4 + eps = 1e-6, tiny = 1e-4, itmax = 1000, ftol = 1e-4 ) j <- 1 @@ -222,8 +257,7 @@ M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) const1 <- sum(y^2) const2 <- sum(X^2) / (n*p) lambda <- 0.1 -u <- 3 -v <- 0 + # Test Bvec Bvec_test <- rnorm((u+v)*p) @@ -283,3 +317,6 @@ for(j in 1:n_vars) { legend("topright", legend = paste("Variable", 1:n_vars), col = colors, lwd = 2, cex = 0.8) + + + From 17833eb39ee19a56d429bf0aae716705e7f8a1c1 Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Tue, 9 Dec 2025 12:47:58 +0200 Subject: [PATCH 07/15] Example: calling from Fortran --- tests/temp/fortran.R | 338 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 338 insertions(+) create mode 100644 tests/temp/fortran.R diff --git a/tests/temp/fortran.R b/tests/temp/fortran.R new file mode 100644 index 0000000..f41313a --- /dev/null +++ b/tests/temp/fortran.R @@ -0,0 +1,338 @@ + +library(splines) + +# Load FORTRAN code +dyn.load("C:\\Users\\29827094\\Documents\\GitHub\\biplotEZ\\src\\biplotEZ.dll") + + +biplot.spline.axis <- function(j, X, Y, means, sd, n.int, + spline.control, dmeth=0, ...) { + + n <- nrow(X) + p <- ncol(X) + if (n > 103) { + my.sample <- sample(1:n, size=103, replace=F) + X <- X[my.sample,] + Y <- Y[my.sample,] + n <- nrow(X) + } + + # Extract control parameters + tau <- spline.control$tau + nmu <- spline.control$nmu + u <- spline.control$u + v <- spline.control$v + lambda <- spline.control$lambda + smallsigma <- spline.control$smallsigma + bigsigma <- spline.control$bigsigma + gamma <- spline.control$gamma + bigsigmaactivate <- spline.control$bigsigmaactivate + eps <- spline.control$eps + tiny <- spline.control$tiny + itmax <- spline.control$itmax + ftol <- spline.control$ftol + +# +# if (v > 0) { +# itmax <- itmax * (1 + v) +# ftol <- ftol * 10 +# } + + cat("Calculating spline axis for variable", j) + + if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") + + Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), + center=-1*means, scale=FALSE) + + ytilde <- Ytilde[,j] + mutilde <- seq(from=min(ytilde), to=max(ytilde), length.out=nmu) + y <- Y[,j] + rangey <- max(y) - min(y) + mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=nmu) + markers <- (pretty(ytilde) - means[j]) / sd[j] + mu <- sort(c(mu, markers)) + mu <- unique(mu) + nmu <- length(mu) + + if (v > 0) { + knots <- seq.int(from=0, to=1, length.out=v+2)[-c(1, v+2)] + knots <- stats::quantile(y, knots) + M <- splines::bs(mu, knots=knots, degree=u, intercept=FALSE) + } else { + M <- splines::bs(mu, df=u+v, degree=u, intercept=FALSE) + } + + M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) + Zreg <- mu%*%Breg / sum(Breg^2) + Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) + + const1 <- sum(y^2) + const2 <- sum(X^2) / (n*p) + + # ======================================== + #OPTIMIZATION FUNCTION + # ======================================== + + optimtouse <- function(Bvec) { + timetemp <- proc.time()[3] + + + if (length(Bvec) != 2*(u+v)) { + if (length(Bvec) < 2*(u+v)) { + Bvec <- c(Bvec, rep(0, 2*(u+v) - length(Bvec))) + } else { + Bvec <- Bvec[1:(2*(u+v))] + } + } + + # Check for NA/Inf + if (any(is.na(Bvec)) || any(is.infinite(Bvec))) { + Bvec[is.na(Bvec) | is.infinite(Bvec)] <- rnorm(sum(is.na(Bvec) | is.infinite(Bvec)), 0, 0.01) + } + + returned_data <- .Fortran("l", + LOSS = as.double(0), + X = as.double(X), + N = as.integer(n), + P = as.integer(p), + NMU = as.integer(nmu), + IND = as.integer(rep(0, n)), + MU = as.double(mu), + PRED = as.double(rep(0, n)), + LAMBDA = as.double(lambda), + Y = as.double(y), + CONST1 = as.double(const1), + CONST2 = as.double(const2), + U = as.integer(u), + V = as.integer(v), + M = as.double(M), + BVEC = as.double(Bvec), + TAU = as.double(tau), + AY = as.double(rep(0, (u+v)*p+1)), + TEMPVK = as.double(rep(0, (u+v)*p)), + ITER = as.integer(0), + FTOL = as.double(ftol), + LOSS1 = as.double(0), + ITER1 = as.integer(0), + ERRO = as.integer(0), + CONST3 = as.double(tiny), + ITMAX = as.integer(itmax) + ) + + aa <- list( + BestValue = returned_data$LOSS, + BestSolution = returned_data$BVEC, + ConvergenceCode = returned_data$ERRO, + iter1 = returned_data$ITER1, + iter = returned_data$ITER, + TimeTaken = proc.time()[3] - timetemp + ) + + aa + } + + EuclidDist2 <- function(X, Y) { + n <- nrow(X) + m <- nrow(Y) + bx <- rowSums(X^2) + by <- rowSums(Y^2) + outer(bx, by, FUN = "+") - 2 * X %*% t(Y) + } + + # Variable initialization + outBestValues <- rep(NA, gamma+1) + outBestSolutions <- matrix(nrow=2*(u+v), ncol=gamma+1) + outTimeTaken <- rep(NA, gamma+1) + BestSolutionsFrequency <- rep(NA, gamma+1) + BestSolutionsIndices <- rep(NA, gamma+1) + +# # Initial coefficients - ensure correct dimensions +# Bvec_initial <- rep(Bvec, length.out=2*(u+v)) +# if (length(Bvec) < 2*(u+v)) { +# Bvec_initial[(length(Bvec)+1):(2*(u+v))] <- rnorm(2*(u+v) - length(Bvec), 0, 0.01) +# } + +# # Scale initial values to avoid numerical issues +# if (max(abs(Bvec_initial)) > 5) { +# Bvec_initial <- Bvec_initial / max(abs(Bvec_initial)) * 1 +# } + +# # For v > 0, try starting from smaller values +# if (v > 0 && max(abs(Bvec_initial)) > 2) { +# Bvec_initial <- Bvec_initial * 0.5 +# } + + temp <- optimtouse(Bvec) + outBestValues[1] <- temp$BestValue + outBestSolutions[,1] <- temp$BestSolution + outTimeTaken[1] <- temp$TimeTaken + BestSolutionsFrequency[1] <- 1 + BestSolutionsIndices[1] <- 1 + DistinctSolutions <- 1 + PreviousBestSolution <- NA + nSameSolutionConsecutively <- 0 + + # Multi-start optimization + for (gammacounter in 2:(gamma+1)) { + if (nSameSolutionConsecutively >= bigsigmaactivate) { + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + + stats::rnorm((u+v)*2, mean=0, sd=bigsigma)) + } else { + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + + stats::rnorm((u+v)*2, mean=0, sd=smallsigma)) + } + + outTimeTaken[gammacounter] <- temp$TimeTaken + tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution, nrow=1), + t(outBestSolutions[,1:DistinctSolutions])) + + if (any(tempSquaredDistances < eps)) { + BestSolutionsIndices[gammacounter] <- tempAA <- which.min(tempSquaredDistances) + BestSolutionsFrequency[tempAA] <- BestSolutionsFrequency[tempAA] + 1 + if (!is.na(PreviousBestSolution) && tempAA == PreviousBestSolution) { + nSameSolutionConsecutively <- nSameSolutionConsecutively + 1 + } else { + PreviousBestSolution <- tempAA + nSameSolutionConsecutively <- 0 + } + } else { + DistinctSolutions <- DistinctSolutions + 1 + outBestValues[DistinctSolutions] <- temp$BestValue + outBestSolutions[,DistinctSolutions] <- temp$BestSolution + BestSolutionsFrequency[DistinctSolutions] <- 1 + BestSolutionsIndices[gammacounter] <- DistinctSolutions + nSameSolutionConsecutively <- 0 + } + } + + axis.points <- cbind(M %*% matrix(outBestSolutions[,which.min(outBestValues)], ncol=2), + mu, 0) + + for (i in 1:nrow(axis.points)) { + if (any(zapsmall(axis.points[i,3] - markers) == 0)) { + axis.points[i, 4] <- 1 + } + } + + axis.points[,3] <- axis.points[,3] * sd[j] + means[j] + + # Return with attributes + attr(axis.points, "loss") <- min(outBestValues, na.rm=TRUE) + attr(axis.points, "bvec") <- outBestSolutions[,which.min(outBestValues)] + attr(axis.points, "total_time") <- sum(outTimeTaken, na.rm=TRUE) + attr(axis.points, "distinct_solutions") <- DistinctSolutions + + axis.points +} + + + + +set.seed(123) + +n <- 180 +p <- 2 + + +n_vars <- 4 +Y <- matrix(rnorm(n * n_vars), ncol = n_vars) + +Y[, 2] <- Y[, 1] + rnorm(n, 0, 0.5) +Y[, 3] <- -Y[, 1] + rnorm(n, 0, 0.5) +Y[, 4] <- Y[, 2] + Y[, 3] + rnorm(n, 0, 0.5) + +means <- colMeans(Y) +sd <- apply(Y, 2, sd) + +X <- Y[, 1:2] + matrix(rnorm(n * p, 0, 0.3), ncol = p) + +u <- 3 +v <- 2 +spline.control <- list( + tau = 0.01, nmu = 10, u = u, v =v, lambda = 0.1, + smallsigma = 0.1, bigsigma = 1.0, gamma = 3, bigsigmaactivate = 2, + eps = 1e-6, tiny = 1e-4, itmax = 1000, ftol = 1e-4 +) + +j <- 1 +y <- Y[, j] +rangey <- max(y) - min(y) +mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=50) +M <- splines::bs(mu, df=3, degree=3, intercept=FALSE) +M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + +const1 <- sum(y^2) +const2 <- sum(X^2) / (n*p) +lambda <- 0.1 + + +# Test Bvec +Bvec_test <- rnorm((u+v)*p) + +result_optim <- biplot.spline.axis( + j = 1, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, + dmeth = 0 +) + +loss <- attr(result_optim, "loss") + + +par(mfrow = c(1, 1), mar = c(4, 4, 3, 1)) + +plot(X[, 1], X[, 2], pch = 19, col = "gray70", + xlab = "Dim 1", ylab = "Dim 2", + main = sprintf("R optim (Loss=%.4f)", loss), asp = 1) +grid() +lines(result_optim[, 1], result_optim[, 2], col = "darkgreen", lwd = 2) + + +#All variables + +all_results <- list() +all_losses <- numeric(n_vars) + +for(j in 1:n_vars) { + cat("\nProcessing variable", j, "...\n") + all_results[[j]] <- biplot.spline.axis( + j = j, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, dmeth = 0 + ) + all_losses[j] <- attr(all_results[[j]], "loss") + cat(" Loss:", all_losses[j], "\n") + cat(" Distinct solutions:", attr(all_results[[j]], "distinct_solutions"), "\n") +} + + +par(mfrow = c(1, 1), mar = c(4, 4, 3, 1)) +plot(X[, 1], X[, 2], + pch = 19, col = "gray70", + xlab = "Dimension 1", ylab = "Dimension 2", + main = "All Spline Axes (optim method)", + asp = 1) +grid() + +colors <- c("blue", "red", "green", "purple") +for(j in 1:n_vars) { + lines(all_results[[j]][, 1], all_results[[j]][, 2], + col = colors[j], lwd = 2) + # Label the axis + mid <- ceiling(nrow(all_results[[j]]) / 2) + text(all_results[[j]][mid, 1], all_results[[j]][mid, 2], + paste("Var", j), pos = 3, col = colors[j], font = 2) +} + +legend("topright", legend = paste("Variable", 1:n_vars), + col = colors, lwd = 2, cex = 0.8) + + + + + + + + + + From 35d796557740e7d65cab34d89dbe57766b4985b0 Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Sat, 13 Dec 2025 14:29:47 +0200 Subject: [PATCH 08/15] Full Translation from Fortran to Rcpp --- src/LnjTinyNew.cpp | 377 +++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 368 insertions(+), 9 deletions(-) diff --git a/src/LnjTinyNew.cpp b/src/LnjTinyNew.cpp index 5c4472a..c46e289 100644 --- a/src/LnjTinyNew.cpp +++ b/src/LnjTinyNew.cpp @@ -4,8 +4,8 @@ using namespace Rcpp; // ========== UTILITY FUNCTIONS ========== -// [[Rcpp::export]] -NumericMatrix matm_rcpp(NumericMatrix A, NumericMatrix B) { + +NumericMatrix matm(NumericMatrix A, NumericMatrix B) { int a1 = A.nrow(); int a2b1 = A.ncol(); int b2 = B.ncol(); @@ -24,8 +24,8 @@ NumericMatrix matm_rcpp(NumericMatrix A, NumericMatrix B) { return OUT; } -// [[Rcpp::export]] -IntegerVector exind_rcpp(NumericMatrix Z, NumericMatrix X) { +//The following function is very time-consuming; there may be a better alternative. +IntegerVector exind(NumericMatrix Z, NumericMatrix X) { int n = X.nrow(); int p = X.ncol(); int nmu = Z.nrow(); @@ -55,7 +55,7 @@ IntegerVector exind_rcpp(NumericMatrix Z, NumericMatrix X) { // [[Rcpp::export]] -double alfunc_rcpp(NumericVector BVEC, +double alfunc(NumericVector BVEC, NumericMatrix X, NumericVector Y, NumericMatrix M, @@ -64,7 +64,7 @@ double alfunc_rcpp(NumericVector BVEC, double CONST1, double CONST2, int U, int V) { - + // to remain consistent with the paper, we should set const1 = 1 and lambda = 0. int n = X.nrow(); int p = X.ncol(); int nmu = MU.length(); @@ -92,10 +92,10 @@ double alfunc_rcpp(NumericVector BVEC, // } // Z = M %*% B - NumericMatrix Z = matm_rcpp(M, B); + NumericMatrix Z = matm(M, B); // Get indices - IntegerVector IND = exind_rcpp(Z, X); + IntegerVector IND = exind(Z, X); // Get predictions NumericVector PRED(n); @@ -112,7 +112,7 @@ double alfunc_rcpp(NumericVector BVEC, double loss = temp1 / CONST1; - // Add penalty term if lambda > 0 + // Add penalty term if lambda > 0: if(LAMBDA > 0.0 && nmu > 2) { double temp2 = 0.0; for(int j = 0; j < p; j++) { @@ -126,3 +126,362 @@ double alfunc_rcpp(NumericVector BVEC, return loss; } + +// Khaled: There is substantial redundancy between `alfunc` and `exind`. +// Combining them could improve computational performance. + + + +// ========== SIMPLEX SETUP ========== +NumericMatrix varset(NumericVector BVEC, int U, int V, int P, double TAU) { + int andim = (U + V) * P; + NumericMatrix AP(andim + 1, andim); + + // First row: BVEC unchanged + for(int j = 0; j < andim; j++) { + AP(0, j) = BVEC[j]; + } + + // Remaining rows: BVEC with TAU added to successive elements + for(int i = 1; i <= andim; i++) { + for(int j = 0; j < andim; j++) { + AP(i, j) = BVEC[j]; + } + AP(i, i - 1) += TAU; + //Khaled: + //Alternative way for AP(i, i - 1). + //Adding a fixed TAU, regardless of the scale of the BVEC components, is problematic. + //It may be better to scale TAU relative to each component to achieve global optimization. + //If you want to use the following approach, please uncomment these lines and comment out AP above. + //If you activate the following code, be careful that TAU cannot be a fixed constant. + //In this case, interpret TAU as a relative step size (e.g., TAU = 0.05 means a 5% perturbation), not an absolute one. + + // // Relative perturbation: TAU * |BVEC[i-1]| or TAU if near zero + // double delta = fabs(BVEC[i - 1]) > 1e-8 ? + // TAU * fabs(BVEC[i - 1]) : TAU; + // AP(i, i - 1) += delta; + } + + return AP; +} + +// ========== SIMPLEX OPERATIONS ========== + +double amotry(NumericMatrix& PMAT, NumericVector& YVEK, + NumericVector& PSUM, int IHI, double FAC, + NumericMatrix X, NumericVector Y, NumericMatrix M, + NumericVector MU, double LAMBDA, + double CONST1, double CONST2, int U, int V) { + //PMAT: The simplex matrix - each row is a vertex (parameter vector) + //YVEK: Function values at each vertex (loss at each simplex point) + //PSUM: Sum of all vertices (used to compute centroid efficiently) + //IHI: Index of the highest (worst) point in the simplex (0-indexed in C++) + //FAC: Extrapolation factor. + //All other inputs are for loss function evaluation (passed by value) + //What thi function do: + //Extrapolates by a factor FAC through the face of the simplex across + //from the highest point, tries it, and replaces the high point if + //the new point is better + int ndim = PMAT.ncol(); + NumericVector PTRY(ndim); + + double fac1 = (1.0 - FAC) / ndim; + double fac2 = fac1 - FAC; + + for(int j = 0; j < ndim; j++) { + PTRY[j] = PSUM[j] * fac1 - PMAT(IHI, j) * fac2; + } + + double ytry = alfunc(PTRY, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V); + + if(ytry < YVEK[IHI]) { + YVEK[IHI] = ytry; + for(int j = 0; j < ndim; j++) { + PSUM[j] = PSUM[j] - PMAT(IHI, j) + PTRY[j]; + PMAT(IHI, j) = PTRY[j]; + } + } + + return ytry; +// Khaled: pass-by-reference eliminates the need to return PMAT, YVEK, and PSUM, +// since they are modified in place; the calling function only requires ytry for its control-flow logic. +} + +// ========== OPTIMIZER ========== + +List amoeba(NumericMatrix PMAT, NumericVector YVEK, + double FTOL, int ITMAX, + NumericMatrix X, NumericVector Y, NumericMatrix M, + NumericVector MU, double LAMBDA, + double CONST1, double CONST2, int U, int V, double TINY) { + + int ndim = PMAT.ncol(); + int mp = PMAT.nrow(); + int iter = 0; + int erro = 0; + + if(ndim > 20) { + erro = 5; + return List::create(Named("PMAT") = PMAT, + Named("YVEK") = YVEK, + Named("ITER") = iter, + Named("ERRO") = erro); + } + + NumericVector PSUM(ndim); + + while(true) { + // Compute PSUM + for(int j = 0; j < ndim; j++) { + double sum1 = 0.0; + for(int i = 0; i < mp; i++) { + sum1 += PMAT(i, j); + } + PSUM[j] = sum1; + } + + // Find ILO, IHI, INHI + int ilo = 0; + int ihi, inhi; + + if(YVEK[0] > YVEK[1]) { + ihi = 0; + inhi = 1; + } else { + ihi = 1; + inhi = 0; + } + + for(int i = 0; i < mp; i++) { + if(YVEK[i] <= YVEK[ilo]) ilo = i; + if(YVEK[i] > YVEK[ihi]) { + inhi = ihi; + ihi = i; + } else if(YVEK[i] > YVEK[inhi]) { + if(i != ihi) inhi = i; + } + } + + // Check convergence + double rtol = 2.0 * fabs(YVEK[ihi] - YVEK[ilo]) / + (fabs(YVEK[ihi]) + fabs(YVEK[ilo]) + TINY); + + if(rtol < FTOL) { + // Put best point in slot 0 + double swap = YVEK[0]; + YVEK[0] = YVEK[ilo]; + YVEK[ilo] = swap; + + for(int j = 0; j < ndim; j++) { + swap = PMAT(0, j); + PMAT(0, j) = PMAT(ilo, j); + PMAT(ilo, j) = swap; + } + + break; + } + + // Check iteration limit + if(iter >= ITMAX) { + erro = 1; + break; + } + + iter += 2; + + // Try reflection + double ytry = amotry(PMAT, YVEK, PSUM, ihi, -1.0, + X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V); + + if(ytry <= YVEK[ilo]) { + // Try expansion + ytry = amotry(PMAT, YVEK, PSUM, ihi, 2.0, + X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V); + } else if(ytry >= YVEK[inhi]) { + // Try contraction + double ysave = YVEK[ihi]; + ytry = amotry(PMAT, YVEK, PSUM, ihi, 0.5, + X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V); + + if(ytry >= ysave) { + // Shrink simplex + for(int i = 0; i < mp; i++) { + if(i != ilo) { + for(int j = 0; j < ndim; j++) { + PSUM[j] = 0.5 * (PMAT(i, j) + PMAT(ilo, j)); + PMAT(i, j) = PSUM[j]; + } + YVEK[i] = alfunc(PSUM, X, Y, M, MU, LAMBDA, + CONST1, CONST2, U, V); + } + } + iter += ndim; + } + } else { + iter -= 1; + } + } + + return List::create(Named("PMAT") = PMAT, + Named("YVEK") = YVEK, + Named("ITER") = iter, + Named("ERRO") = erro); +} + +// ========== MAIN WRAPPER ========== + +// [[Rcpp::export]] +List optimize_spline(NumericVector BVEC, + NumericMatrix X, + NumericVector Y, + NumericMatrix M, + NumericVector MU, + double LAMBDA, + double CONST1, + double CONST2, + int U, int V, + double TAU, + double FTOL, + double TINY, + int ITMAX) { + + int p = X.ncol(); + int andim = (U + V) * p; + int erro = 0; + + // ========== STAGE 1 ========== + + // Create simplex + NumericMatrix AP1 = varset(BVEC, U, V, p, TAU); + + // Evaluate at each vertex + NumericVector AY1(andim + 1); + for(int i = 0; i <= andim; i++) { + NumericVector tempvk(andim); + for(int j = 0; j < andim; j++) { + tempvk[j] = AP1(i, j); + } + AY1[i] = alfunc(tempvk, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V); + } + + // Run amoeba + List result1 = amoeba(AP1, AY1, FTOL, ITMAX, + X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V, TINY); + + NumericMatrix PMAT1 = result1["PMAT"]; + NumericVector YVEK1 = result1["YVEK"]; + int iter1 = result1["ITER"]; + erro = result1["ERRO"]; + + if(erro != 0) { + NumericVector bvec_out(andim); + for(int j = 0; j < andim; j++) { + bvec_out[j] = PMAT1(0, j); + } + + return List::create(Named("LOSS") = YVEK1[0], + Named("BVEC") = bvec_out, + Named("LOSS1") = YVEK1[0], + Named("ITER1") = iter1, + Named("ITER") = 0, + Named("ERRO") = erro); + } + + double loss1 = YVEK1[0]; + + // ========== STAGE 2 ========== + + // Extract best from stage 1 + NumericVector BVEC2(andim); + for(int j = 0; j < andim; j++) { + BVEC2[j] = PMAT1(0, j); + } + + // Create new simplex + NumericMatrix AP2 = varset(BVEC2, U, V, p, TAU); + + // Evaluate at each vertex + NumericVector AY2(andim + 1); + for(int i = 0; i <= andim; i++) { + NumericVector tempvk(andim); + for(int j = 0; j < andim; j++) { + tempvk[j] = AP2(i, j); + } + AY2[i] = alfunc(tempvk, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V); + } + + // Run amoeba again + List result2 = amoeba(AP2, AY2, FTOL, ITMAX, + X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V, TINY); + + NumericMatrix PMAT2 = result2["PMAT"]; + NumericVector YVEK2 = result2["YVEK"]; + int iter2 = result2["ITER"]; + erro = result2["ERRO"]; + + double loss = YVEK2[0]; + + // Extract final BVEC + NumericVector bvec_out(andim); + for(int j = 0; j < andim; j++) { + bvec_out[j] = PMAT2(0, j); + } + + return List::create(Named("LOSS") = loss, + Named("BVEC") = bvec_out, + Named("LOSS1") = loss1, + Named("ITER1") = iter1, + Named("ITER") = iter2, + Named("ERRO") = erro); +} + + + + + +// ========== ADDITIONAL FUNCTIONS (NOT USED IN OPTIMIZER) ========== + +//These two functions (mipd and inddup) are not used in the Nelder–Mead algorithm or in biplot.spline.axis. They are rewritten to align with the original Fortran code (although they may be used elsewhere in the library). + +double mipd(NumericVector X, NumericVector Y) { + int n = X.length(); + double d = 0.0; + int count = 0; + + for(int i = 1; i < n; i++) { + for(int j = 0; j < i; j++) { + double dx = X[i] - X[j]; + double dy = Y[i] - Y[j]; + d += sqrt(dx * dx + dy * dy); + count++; + } + } + + return d / count; +} + + +LogicalVector inddup(NumericVector X, NumericVector Y, + NumericVector RW, double FRAC) { + int n = X.length(); + double xtol = FRAC * (RW[1] - RW[0]); + double ytol = FRAC * (RW[3] - RW[2]); + + LogicalVector DUP(n); + DUP[0] = false; + + for(int i = 1; i < n; i++) { + DUP[i] = false; + for(int j = 0; j < i; j++) { + double dx = fabs(X[i] - X[j]); + double dy = fabs(Y[i] - Y[j]); + + if(dx < xtol && dy < ytol) { + DUP[i] = true; + break; + } + } + } + + return DUP; +} \ No newline at end of file From 8676905ea4af1b866efe93ef2b1972b185955074 Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Sat, 13 Dec 2025 14:46:23 +0200 Subject: [PATCH 09/15] =?UTF-8?q?Replace=20R's=20optim()=20with=20a=20full?= =?UTF-8?q?y=20manual=20Nelder=E2=80=93Mead=20optimization=20algorithm=20i?= =?UTF-8?q?mplemented=20in=20Rcpp?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- tests/temp/replace_fortran_with_Rcpp.R | 77 ++++++++------------------ 1 file changed, 24 insertions(+), 53 deletions(-) diff --git a/tests/temp/replace_fortran_with_Rcpp.R b/tests/temp/replace_fortran_with_Rcpp.R index 31fdca2..549e690 100644 --- a/tests/temp/replace_fortran_with_Rcpp.R +++ b/tests/temp/replace_fortran_with_Rcpp.R @@ -69,71 +69,42 @@ biplot.spline.axis <- function(j, X, Y, means, sd, const2 <- sum(X^2) / (n*p) # ======================================== - #The Fortran call has been replaced by the following R function - #Note: We can add the fortran function here and make it optional using if-else which uses opti or fortrnran. + #The Fortran call has been replaced by the following Rcpp function #========================================= optimtouse <- function(Bvec) { timetemp <- proc.time()[3] - # Use R's optim - obj_fn <- function(bvec) { - alfunc_rcpp(bvec, X, y, M, mu, lambda, const1, const2, u, v) - } - - result <- optim( - par = Bvec, - fn = obj_fn, - method = "Nelder-Mead", - control = list(maxit = itmax, reltol = ftol, trace = 0) + # Use Rcpp optimize_spline function + returned_data <- optimize_spline( + BVEC = Bvec, + X = X, + Y = y, + M = M, + MU = mu, + LAMBDA = lambda, + CONST1 = const1, + CONST2 = const2, + U = u, + V = v, + TAU = tau, + FTOL = ftol, + TINY = tiny, + ITMAX = itmax ) - if(result$convergence > 0) { - cat(" Warning: convergence =", result$convergence, "\n") + if(returned_data$ERRO > 0) { + cat(" Warning: Error code =", returned_data$ERRO, "\n") } aa <- list( - BestValue = result$value, - BestSolution = result$par, - ConvergenceCode = result$convergence, - iter1 = NA, - iter = result$counts['function'], + BestValue = returned_data$LOSS, + BestSolution = returned_data$BVEC, + ConvergenceCode = returned_data$ERRO, + iter1 = returned_data$ITER1, + iter = returned_data$ITER, TimeTaken = proc.time()[3] - timetemp ) - #========================================== - #Note (Iportant): - #To align with the Fortran code, we should uncomment the following code (and comment out the upper part of the code that corresponds to the code below): - #========================================== - # Stage 1 - # result1 <- optim( - # par = Bvec, - # fn = obj_fn, - # method = "Nelder-Mead", - # control = list(maxit = itmax, reltol = ftol, trace = 0) - # ) - # # Stage 2 starting from Stage 1 result - # result2 <- optim( - # par = result1$par, - # fn = obj_fn, - # method = "Nelder-Mead", - # control = list(maxit = itmax, reltol = ftol, trace = 0) - # ) - - # if(result2$convergence > 0) { - # if(result2$convergence == 1) { - # warning("Maximum iterations reached. Increase itmax.\n") - # } - # } - - - # aa <- list( - # BestValue = result2$value, - # BestSolution = result2$par, - # ConvergenceCode = result2$convergence, - # iter1 = result1$counts['function'], - # iter = result2$counts['function'], - # TimeTaken = proc.time()[3] - timetemp - # ) aa } From 6e7811afb5ae37eb99fac1c3bc5dfc269e0294fd Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Tue, 16 Dec 2025 12:38:19 +0200 Subject: [PATCH 10/15] All Fortran code has been removed. --- src/LnjTinyNew.f | 512 ----------------------------------------------- src/LnjTinyNew.o | Bin 8722 -> 1121952 bytes src/biplotEZ.dll | Bin 22528 -> 4197197 bytes 3 files changed, 512 deletions(-) delete mode 100644 src/LnjTinyNew.f diff --git a/src/LnjTinyNew.f b/src/LnjTinyNew.f deleted file mode 100644 index 8e021d0..0000000 --- a/src/LnjTinyNew.f +++ /dev/null @@ -1,512 +0,0 @@ - SUBROUTINE MIPD(X,Y,N,D) - IMPLICIT DOUBLE PRECISION(A-H,O-Z) - DIMENSION X(N), Y(N) - D = 0.D0 - DIV = DBLE(N*(N-1)/2) - DO 23284 I = 2,N - DO 23286 J = 1,I-1 - D = D + SQRT((X(I)-X(J))**2 + (Y(I)-Y(J))**2) -23286 CONTINUE -23284 CONTINUE - D = D/DIV - RETURN - END -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - - SUBROUTINE INDDUP(X,Y,N,RW,FRAC,DUP) - IMPLICIT DOUBLE PRECISION(A-H,O-Z) - LOGICAL DUP(N) - DIMENSION X(N), Y(N), RW(4) - XTOL = FRAC*(RW(2)-RW(1)) - YTOL = FRAC*(RW(4)-RW(3)) - DUP(1) = .FALSE. - DO 23182 I = 2,N - DUP(I) = .FALSE. - DO 23184 J = 1,I-1 - DX = ABS(X(I)-X(J)) - DY = ABS(Y(I)-Y(J)) - IF(.NOT.(DX .LT. XTOL .AND. DY .LT. YTOL))GOTO 23186 - DUP(I) = .TRUE. - GOTO 23185 -23186 CONTINUE -23184 CONTINUE -23185 CONTINUE -23182 CONTINUE - RETURN - END -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - SUBROUTINE MATM ( A1, A2B1, B2, A, B, OUT) - -C This subroutine performs matrix multiplication. -C This should be improved with optimised code (such as from -C Linpack, etc.) - IMPLICIT NONE - INTEGER A1, A2B1, B2 - DOUBLE PRECISION A(A1,A2B1), B(A2B1,B2), OUT(A1,B2) - -C DUMMIES - - INTEGER I, J, K - - DO 300,J=1,B2 - DO 200,I=1,A1 - OUT(I,J)=0 - DO 100,K=1,A2B1 - OUT(I,J)=OUT(I,J)+A(I,K)*B(K,J) -100 CONTINUE - -200 CONTINUE - -300 CONTINUE - - END - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - SUBROUTINE EXIND (Z, X, N, P, NMU, IND) - -C This subroutine returns the indices of EXact shortest distances. -C Tested against R output -- works - IMPLICIT NONE - INTEGER N, P, NMU, IND(N) - DOUBLE PRECISION Z(NMU,P), X(N,P) - -C DATA Ind/n*0.0/ - -C DUMMIES - - INTEGER I, J, K - DOUBLE PRECISION TEMP1, RMIN - - DO 300, I=1,N - Ind(I)=0 - RMIN = 1.0D+09 - DO 200, J=1,NMU - TEMP1=0.0 - DO 100, K=1,P - TEMP1=TEMP1+( X(I,K)-Z(J,K) )**2 -100 CONTINUE - IF (TEMP1 .LT. RMIN) THEN - RMIN=TEMP1 - IND(I)=J - END IF -200 CONTINUE -300 CONTINUE - - END - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - DOUBLE PRECISION FUNCTION ALFUNC (BVEC, X, N, P, NMU, IND, MU, - + PRED, LAMBDA, Y, CONST1, CONST2, U, V, M) - -C This subroutine calculates the loss function. -C const1 and const2 are the two scaling constants used in the -C loss function... -C ... they are calculated once in R itself. - IMPLICIT NONE - INTEGER N, P, NMU, IND(N), U, V - DOUBLE PRECISION LAMBDA - DOUBLE PRECISION X(N,P), MU(NMU), PRED(NMU), - + Y(N), CONST1, CONST2, M(NMU,U+V), BVEC((U+V)*P) -C NOTE Bvec is a vector here - -C common block - -C COMMON /CSHARE/X, N, P, NMU, IND, MU, PRED, LAMBDA, Y -C + CONST1, CONST2, U, V, M, BVEC -C DUMMIES - - INTEGER I, J - DOUBLE PRECISION Z(NMU, P), TEMP1, TEMP2 - -CCCCCCCCCCCC - - ALFUNC=0.0 - - CALL MATM( NMU, U+V, P, M, BVEC, Z) - - CALL EXIND(Z,X,N,P,NMU,IND) - - DO 100, I=1,N - PRED(I)=MU(IND(I)) -100 CONTINUE - -CCCCCCCCCCCC - - TEMP1=0.0 - DO 500, I=1,N - TEMP1=TEMP1+ ( Y(I)-PRED(I) )**2 -500 CONTINUE - - ALFUNC= TEMP1/CONST1 - - - IF (LAMBDA .GT. 0.0) THEN - TEMP2=0.0 - DO 700, J=1,P - DO 600, I=2,(NMU-1) - TEMP2=TEMP2+( Z(I-1,J)-2*Z(I,J)+Z(I+1,J) )**2 -600 CONTINUE -700 CONTINUE - ALFUNC=ALFUNC+LAMBDA*TEMP2/CONST2 - END IF - -C Checked Fortran Loss against R. Matches. - - END - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - SUBROUTINE VARSET (BVEC, AP, U, V, P, TAU) - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -CC This subtroutine sets Ap and Ay for subroutine L. Dirty work. -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - IMPLICIT NONE - INTEGER U, V, P - - DOUBLE PRECISION AP((U+V)*P+1,(U+V)*P), BVEC((U+V)*P), TAU - - INTEGER I,J, ANDIM - - ANDIM=(U+V)*P - -C The first Ap is Bvec: - DO 100, J=1,ANDIM - AP(1,J)=BVEC(J) -100 CONTINUE - -C Adding a number tau to a successive element in each successive -C row of Ap: - DO 300, I=2,(ANDIM+1) - DO 200, J=1,ANDIM - AP(I,J)=BVEC(J) -200 CONTINUE - AP(I,I-1)=AP(I,I-1)+TAU -300 CONTINUE - - END -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - - SUBROUTINE L (LOSS, X, N, P, NMU, IND, MU, PRED, LAMBDA, Y, - +CONST1, CONST2, U, V, M, BVEC, TAU, AY, TEMPVK, ITER, FTOL, - +LOSS1, ITER1, ERRO, CONST3, ITMAX) - - IMPLICIT NONE - -C iter1 sends back the total number of iterations in the first call -C to amoeba; iter sends back the total number of iterations in the -C second call to amoeba. - - EXTERNAL ALFUNC - - DOUBLE PRECISION ALFUNC - -!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -!C This is the subroutine actually called from within R. -!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - INTEGER N, P, NMU, IND(N), U, V, ITER, ITER1, ERRO, ITMAX - DOUBLE PRECISION TAU, LAMBDA, CONST3 - DOUBLE PRECISION LOSS, LOSS1, X(N,P), MU(NMU), PRED(NMU), FTOL - DOUBLE PRECISION Y(N), CONST1, CONST2, M(NMU,U+V), BVEC((U+V)*P) - -C NOTE Bvec is a vector here. - -C ALFUNC IS THE NAME OF THE FUNCTION THAT CALCULATES THE LOSS. - - INTEGER ANDIM - DOUBLE PRECISION AP((U+V)*P+1,(U+V)*P), AY((U+V)*P+1) - -C The Ap's are the N+1=(u+v)*p+1 points defining the simplex; -C it's used in amoeba. -C The Ay's are the N+1=(u+v)*p+1 loss function evaluations for each -C of the Ap rows; it's used in amoeba. -C Ap1st stores the first set of Aps. Except for the first row, -C they are reused for the second call to amoeba. -C LOSS1 indicates the loss after the first call of amoeba. - - - INTEGER I, J - DOUBLE PRECISION TEMPVK((U+V)*P) -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - ERRO=0 - ANDIM=(U+V)*P - -C Setting Ap before the first call to amoeba: - - CALL VARSET (BVEC, AP, U, V, P, TAU) - -C Evaluating Ap to get Ay: - - DO 200, I=1,(ANDIM+1) - DO 100, J=1,ANDIM - TEMPVK(J)=AP(I,J) -100 CONTINUE -C Evaluating the successive Ay's: - AY(I)=ALFUNC(TEMPVK, X, N, P, NMU, IND, MU, PRED, LAMBDA, Y, - +CONST1, CONST2, U, V, M) -200 CONTINUE -C Checked the AY(I) values against those from R (before creating -C the VARSET function). - -C Calling amoeba for the FIRST TIME: - - CALL AMOEBA(AP, AY, ANDIM+1, ANDIM, ANDIM, FTOL, ALFUNC, ITER, - +X, N, P, NMU, IND, MU, PRED, LAMBDA, Y, CONST1, CONST2, U, V, - +M, ERRO, CONST3,ITMAX) -C Error check - IF (ERRO .NE. 0) GO TO 9999 -C Saving the number of iterations in the first call to amoeba: - ITER1=ITER - -C Saving the loss from the first call to amoeba: - LOSS1=AY(1) - -C Setting Ap before the second call to amoeba: - - DO 300, J=1,ANDIM - BVEC(J)=AP(1,J) -300 CONTINUE - - CALL VARSET (BVEC, AP, U, V, P, TAU) - -C Evaluating Ap to get Ay: - - DO 500, I=1,(ANDIM+1) - DO 400, J=1,ANDIM - TEMPVK(J)=AP(I,J) -400 CONTINUE - -C Evaluating the successive Ay's: - AY(I)=ALFUNC(TEMPVK, X, N, P, NMU, IND, MU, PRED, - +LAMBDA, Y, CONST1, CONST2, U, V, M) -500 CONTINUE - -C Checked the AY(I) values against those from R -C (before creating the VARSET function). - -C Calling amoeba for the SECOND time: - - CALL AMOEBA(AP, AY, ANDIM+1, ANDIM, ANDIM, FTOL, ALFUNC, ITER, - +X, N, P, NMU, IND, MU, PRED, LAMBDA, Y, CONST1, CONST2, U, - +V, M, ERRO, CONST3,ITMAX) - -C Error check - IF (ERRO .NE. 0) GO TO 9999 - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - -C RETURN VALUES: (carefully check) - - LOSS=AY(1) - DO 600, J=1, ANDIM - BVEC(J)=AP(1,J) -600 CONTINUE - -9999 END - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - SUBROUTINE AMOEBA (PMAT, YVEK, MP, NP, NDIM, FTOL, FUNK, ITER, - +QX, QN, QP, QNMU, QIND, QMU, QPRED, QLAMBD, QY, QCONS1, QCONS2, - +QU, QV, QM, ERRO, TINY, ITMAX) -C second and third lines of arguments added myself. - -C MP is the number of rows of PMAT. -C NP is the number of columns of PMAT. - - IMPLICIT NONE - INTEGER NMAX, ITMAX, MP, NP, NDIM, ITER, ERRO - DOUBLE PRECISION TINY, CONST3 - PARAMETER (NMAX=20) - - DOUBLE PRECISION PMAT(MP, NP), YVEK(MP), FTOL, FUNK - - EXTERNAL FUNK - - INTEGER QN, QP, QNMU, QIND(QN), QU, QV - DOUBLE PRECISION QX(QN, QP), QMU(QNMU), QPRED(QNMU), QLAMBD, - + QY(QN), QCONS1, QCONS2, QM(QNMU,QU+QV) - - INTEGER I, IHI, ILO, INHI, J - DOUBLE PRECISION RTOL, SUM1, SWAP, YSAVE, YTRY, PSUM(NMAX) - DOUBLE PRECISION AMOTRY - -CCCCCCCCCCCCCCCCCCCCCCCCCCC - -C USES AMOTRY, FUNK, -C Multidimensional minimization of the function funk(x) -C where x(1:ndim) is a vector -C in ndim dimensions, by the downhill simplex method of Nelder -C and Mead. The matrix -C pmat(1:ndim+1,1:ndim) is input. Its ndim+1 rows are -C ndim-dimensional vectors which are -C the vertices of the starting simplex. Also input is the vector -C yvek(1:ndim+1), whose compo- -C nents must be pre-initialized to the values of funk evaluated -C at the ndim+1 vertices (rows) -C of p; and ftol the fractional convergence tolerance to be -C achieved in the function value -C (n.b.!). On output, p and y will have been reset to ndim+1 new -C points all within ftol of -C a minimum function value, and iter gives the number of -C function evaluations taken. - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - CONST3 = 0.0001 - TINY=CONST3 - ITER=0 - ERRO=0 - IF (NDIM .GT. NMAX) THEN - ERRO=5 - GO TO 999 - END IF - -10 DO 40, J=1,NDIM - SUM1=0.0 - DO 30, I=1,NDIM+1 - SUM1=SUM1+PMAT(I,J) -30 CONTINUE - PSUM(J)=SUM1 -40 CONTINUE - -50 ILO=1 - - IF (YVEK(1) .GT. YVEK(2)) THEN - IHI=1 - INHI=2 - ELSE - IHI=2 - INHI=1 - END IF - - DO 60, I=1,NDIM+1 - IF(YVEK(I) .LE. YVEK(ILO)) ILO=I - IF(YVEK(I) .GT. YVEK(IHI)) THEN - INHI=IHI - IHI=I - ELSE IF(YVEK(I) .GT. YVEK(INHI)) THEN - IF(I .NE. IHI) INHI=I - END IF -60 CONTINUE - - RTOL=2.0*DABS(YVEK(IHI)-YVEK(ILO))/(DABS(YVEK(IHI)) - + +DABS(YVEK(ILO))+TINY) - -C Compute the fractional range from highest to lowest and return if -C satisfactory. -C If returning, put best point and value in slot 1. - - IF (RTOL .LT. FTOL) THEN - SWAP=YVEK(1) - YVEK(1)=YVEK(ILO) - YVEK(ILO)=SWAP - DO 70, J=1,NDIM - SWAP=PMAT(1,J) - PMAT(1,J)=PMAT(ILO,J) - PMAT(ILO,J)=SWAP -70 CONTINUE - RETURN - END IF - IF (ITER .GE. ITMAX) THEN - ERRO=1 - GO TO 999 - END IF -C 'ITMAX exceeded in AMOEBA' - ITER=ITER+2 -C Begin a new iteration. First extrapolate by a factor -1 through the -C face of the simplex across from the highest point i.e. reflect simplex -C from highest point - - YTRY=AMOTRY(PMAT, YVEK, PSUM, MP, NP, NDIM, FUNK, IHI, -1.0D+00, - + QX, QN, QP,QNMU, QIND, QMU, QPRED, QLAMBD, QY, QCONS1, QCONS2, - + QU, QV, QM) - - IF (YTRY .LE. YVEK(ILO)) THEN - YTRY=AMOTRY(PMAT, YVEK, PSUM, MP, NP, NDIM, FUNK, IHI, 2.0D+00, - + QX, QN, QP,QNMU, QIND, QMU, QPRED, QLAMBD, QY, QCONS1, QCONS2, - + QU, QV, QM) - ELSE IF (YTRY .GE. YVEK(INHI)) THEN - YSAVE=YVEK(IHI) - YTRY=AMOTRY(PMAT, YVEK, PSUM, MP, NP, NDIM,FUNK, IHI, 0.5D+00, - + QX, QN, QP, QNMU, QIND, QMU, QPRED, QLAMBD, QY, QCONS1, - + QCONS2, + QU, QV, QM) - - IF (YTRY .GE. YSAVE) THEN - DO 90, I=1,NDIM+1 - IF(I .NE. ILO) THEN - DO 80, J=1,NDIM - PSUM(J)=0.5*(PMAT(I,J)+PMAT(ILO,J)) - PMAT(I,J)=PSUM(J) -80 CONTINUE - YVEK(I)=FUNK(PSUM, QX, QN, QP, QNMU, QIND, QMU, QPRED, - + QLAMBD, QY, QCONS1, QCONS2, QU, QV, QM) - END IF -90 CONTINUE - - ITER=ITER+NDIM - - GOTO 10 - - END IF - ELSE - ITER=ITER-1 - END IF - GOTO 50 -999 END - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - DOUBLE PRECISION FUNCTION AMOTRY(PMAT, YVEK, PSUM, MP, NP, NDIM, - + FUNK,IHI, FAC, - + QX, QN, QP, QNMU, QIND, QMU, QPRED, QLAMBD, - + QY, QCONS1, QCONS2, QU, QV, QM) - - IMPLICIT NONE - INTEGER IHI, MP, NDIM, NP, NMAX - DOUBLE PRECISION FAC, PMAT(MP,NP), PSUM(NP), YVEK(MP), FUNK - - PARAMETER (NMAX=20) - EXTERNAL FUNK -C Extrapolates by a factor FAC through the face of the simplex across -C from the highest point, tries it, and replaces the high point if -C the new point is better - INTEGER J, QN, QP, QNMU, QIND(QN), QU, QV - DOUBLE PRECISION FAC1, FAC2, YTRY, PTRY(NMAX) - DOUBLE PRECISION QLAMBD, QX(QN,QP), QMU(QNMU) - DOUBLE PRECISION QPRED(QNMU), QY(QN), QCONS1, QCONS2 - DOUBLE PRECISION QM(QNMU,QU+QV) - -CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC - - FAC1=(1.0-FAC)/NDIM - FAC2=FAC1-FAC - DO 10, J=1,NDIM - PTRY(J)=PSUM(J)*FAC1-PMAT(IHI,J)*FAC2 -10 CONTINUE - - YTRY=FUNK(PTRY, QX, QN, QP, QNMU, QIND, QMU, QPRED, QLAMBD, QY, - + QCONS1, QCONS2, QU, QV, QM) - - IF (YTRY .LT. 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Date: Tue, 16 Dec 2025 12:40:09 +0200 Subject: [PATCH 11/15] The spline graph function has been updated from fortran to Rcpp. --- R/plot2D.R | 277 ++++++++++++++++++++++++++++++++++++++++++----------- 1 file changed, 219 insertions(+), 58 deletions(-) diff --git a/R/plot2D.R b/R/plot2D.R index fd1450e..fc732a2 100644 --- a/R/plot2D.R +++ b/R/plot2D.R @@ -1087,13 +1087,189 @@ #' @useDynLib biplotEZ, .registration = TRUE #' #' @noRd + + + +# biplot.spline.axis <- function(j, X, Y, means, sd, +# n.int, spline.control, dmeth=0, ... ) +# { +# n <- nrow(X) +# p <- ncol(X) +# if (n > 103) +# { +# my.sample <- sample (1:n, size=103, replace=F) +# X <- X[my.sample,] +# Y <- Y[my.sample,] +# n <- nrow(X) +# } + +# tau <- spline.control$tau +# nmu <- spline.control$nmu +# u <- spline.control$u +# v <- spline.control$v +# lambda <- spline.control$lambda +# smallsigma <- spline.control$smallsigma +# bigsigma <- spline.control$bigsigma +# gamma <- spline.control$gamma +# bigsigmaactivate <- spline.control$bigsigmaactivate +# eps <- spline.control$eps +# tiny <- spline.control$tiny +# itmax <- spline.control$itmax +# ftol <- spline.control$ftol + +# cat ("Calculating spline axis for variable", j, "\n") +# if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") +# Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), center=-1*means, scale=FALSE) + +# ytilde <- Ytilde[,j] +# mutilde <- seq(from=min(ytilde),to=max(ytilde),length.out=nmu) +# y <- Y[,j] +# rangey <- max(y)-min(y) +# mu <- seq(from=min(y)-.3*rangey,to=max(y)+.3*rangey,length.out=nmu) +# markers <- (pretty(ytilde)-means[j])/sd[j] +# mu <- sort(c(mu,markers)) +# mu <- unique(mu) +# nmu <- length(mu) + +# if (v>0) +# { +# knots <- seq.int(from=0,to=1,length.out=v+2)[-c(1,v+2)] +# knots <- stats::quantile(y,knots) +# M <- splines::bs(mu,knots=knots,degree=u,intercept=FALSE) +# } else M <- splines::bs(mu,df=u+v,degree=u,intercept=FALSE) +# M <- scale(M,scale=FALSE,center=M[which.min(abs(mu)),]) # To ensure that the spline passes through the origin at the calibration which represents the mean of the variable +# Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) +# Zreg <- mu%*%Breg/sum(Breg^2) +# Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) # Closest to regression biplot + +# const1 <- sum(y^2) +# const2 <- sum(X^2)/(n*p) +# TotalNumberOfLossFunctionCalls <- 0 + +# optimtouse <- function(Bvec) +# { +# timetemp <- proc.time()[3] +# LOSS <- 1.0 +# LOSS1 <- 1.0 +# Ind <- rep(1,n) +# pred <- rep(0,nmu) +# deltmp <- 0 +# tau <- tau +# #.5 # the choice of tau seems to affect perfomance quite substantially. +# # tau is used to specify the points on the inital simplex. +# Ay <- rep(0,(u+v)*p+1) +# TEMPVK <- rep(0,(u+v)*p) +# iter1 <- 0 +# iter <- 0 +# ERRO <- 0 + +# # Prepare for Fortran subroutine +# storage.mode(X) <- "double" +# storage.mode(Ind) <- "integer" +# storage.mode(mu) <- "double" +# storage.mode(pred) <- "double" +# storage.mode(y) <- "double" +# storage.mode(M) <- "double" +# storage.mode(Bvec) <- "double" +# storage.mode(Ay) <- "double" +# storage.mode(TEMPVK) <- "double" + + +# returned_data <-.Fortran('L',LOSS=as.double(LOSS),X=X,n=as.integer(n),p=as.integer(p),nmu=as.integer(nmu),Ind=Ind, +# mu=mu,pred=pred,lambda=as.double(lambda),y=y,const1=as.double(const1),const2=as.double(const2),u=as.integer(u), +# v=as.integer(v),M=M,Bvec=Bvec,tau=as.double(tau),Ay=Ay,TEMPVEK=TEMPVK,iter=as.integer(iter), +# ftol=as.double(ftol),LOSS1=as.double(LOSS1),iter1=as.integer(iter1),fout = as.integer(ERRO), +# const3=as.double(tiny), itmax=as.integer(itmax)) +# if(returned_data$fout > 0) +# { +# cat("Fout is: ", returned_data$fout, "\n") +# warning("Increase itmax for Fortran \n") +# } + +# B <- matrix(returned_data$Bvec,ncol=p) +# Z <- M%*%B + +# aa <- list(BestValue=returned_data$LOSS,BestSolution=returned_data$Bvec,ConvergenceCode=returned_data$fout, iter1=returned_data$iter1, +# iter=returned_data$iter,TimeTaken=proc.time()[3]-timetemp) +# aa +# } +# EuclidDist2 <- function (X, Y) +# { +# n <- nrow(X) +# m <- nrow(Y) +# bx <- rowSums(X^2) +# by <- rowSums(Y^2) +# outer(bx, by, FUN = "+") - 2 * X %*% t(Y) +# } + +# ### Variable initialisation +# outBestValues <- rep(NA,gamma+1) +# outBestSolutions <- matrix(nrow=2*(u+v),ncol=gamma+1) +# outTimeTaken <- rep(NA,gamma+1) # Is made one element longer at each iteration. +# BestSolutionsFrequency <- rep(NA,gamma+1) +# BestSolutionsIndices <- rep(NA,gamma+1) # Is made one element longer at each iteration. +# SquaredDistancesBetweenBestSolutions <- matrix(nrow=gamma+1,ncol=gamma+1) + +# ### Initial coefficients closest to regression biplot +# temp <- optimtouse(Bvec) +# outBestValues[1] <- temp$BestValue +# outBestSolutions[,1] <- temp$BestSolution +# outTimeTaken[1] <- temp$TimeTaken +# BestSolutionsFrequency[1] <- 1 +# BestSolutionsIndices[1] <- 1 +# DistinctSolutions <- 1 +# PreviousBestSolution <- NA +# nSameSolutionConsecutively <- 0 +# BigSigmaActivations <- NULL + +# test.iter <- temp$iter +# test.iter1 <- temp$iter1 + +# ### Last best coefficients perturbed +# for (gammacounter in 2:(gamma+1)) +# { +# if (nSameSolutionConsecutively>=bigsigmaactivate) +# { +# temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=bigsigma)) +# BigSigmaActivations <- c(BigSigmaActivations,gammacounter) +# } +# else temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=smallsigma)) +# outTimeTaken[gammacounter] <- temp$TimeTaken +# tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution,nrow=1),t(outBestSolutions[,1:DistinctSolutions])) +# if (any(tempSquaredDistances 103) - { + if (n > 103){ my.sample <- sample (1:n, size=103, replace=F) X <- X[my.sample,] Y <- Y[my.sample,] @@ -1128,8 +1304,7 @@ biplot.spline.axis <- function(j, X, Y, means, sd, mu <- unique(mu) nmu <- length(mu) - if (v>0) - { + if (v>0){ knots <- seq.int(from=0,to=1,length.out=v+2)[-c(1,v+2)] knots <- stats::quantile(y,knots) M <- splines::bs(mu,knots=knots,degree=u,intercept=FALSE) @@ -1142,56 +1317,44 @@ biplot.spline.axis <- function(j, X, Y, means, sd, const1 <- sum(y^2) const2 <- sum(X^2)/(n*p) TotalNumberOfLossFunctionCalls <- 0 - - optimtouse <- function(Bvec) - { + optimtouse <- function(Bvec) { timetemp <- proc.time()[3] - LOSS <- 1.0 - LOSS1 <- 1.0 - Ind <- rep(1,n) - pred <- rep(0,nmu) - deltmp <- 0 - tau <- tau - #.5 # the choice of tau seems to affect perfomance quite substantially. - # tau is used to specify the points on the inital simplex. - Ay <- rep(0,(u+v)*p+1) - TEMPVK <- rep(0,(u+v)*p) - iter1 <- 0 - iter <- 0 - ERRO <- 0 - - # Prepare for Fortran subroutine - storage.mode(X) <- "double" - storage.mode(Ind) <- "integer" - storage.mode(mu) <- "double" - storage.mode(pred) <- "double" - storage.mode(y) <- "double" - storage.mode(M) <- "double" - storage.mode(Bvec) <- "double" - storage.mode(Ay) <- "double" - storage.mode(TEMPVK) <- "double" + # Use Rcpp optimize_spline function + returned_data <- optimize_spline( + BVEC = Bvec, + X = X, + Y = y, + M = M, + MU = mu, + LAMBDA = lambda, + CONST1 = const1, + CONST2 = const2, + U = u, + V = v, + TAU = tau, + FTOL = ftol, + TINY = tiny, + ITMAX = itmax + ) - returned_data <-.Fortran('L',LOSS=as.double(LOSS),X=X,n=as.integer(n),p=as.integer(p),nmu=as.integer(nmu),Ind=Ind, - mu=mu,pred=pred,lambda=as.double(lambda),y=y,const1=as.double(const1),const2=as.double(const2),u=as.integer(u), - v=as.integer(v),M=M,Bvec=Bvec,tau=as.double(tau),Ay=Ay,TEMPVEK=TEMPVK,iter=as.integer(iter), - ftol=as.double(ftol),LOSS1=as.double(LOSS1),iter1=as.integer(iter1),fout = as.integer(ERRO), - const3=as.double(tiny), itmax=as.integer(itmax)) - if(returned_data$fout > 0) - { - cat("Fout is: ", returned_data$fout, "\n") - warning("Increase itmax for Fortran \n") + if(returned_data$ERRO > 0) { + cat(" Warning: Error code =", returned_data$ERRO, "\n") } - B <- matrix(returned_data$Bvec,ncol=p) - Z <- M%*%B + aa <- list( + BestValue = returned_data$LOSS, + BestSolution = returned_data$BVEC, + ConvergenceCode = returned_data$ERRO, + iter1 = returned_data$ITER1, + iter = returned_data$ITER, + TimeTaken = proc.time()[3] - timetemp + ) - aa <- list(BestValue=returned_data$LOSS,BestSolution=returned_data$Bvec,ConvergenceCode=returned_data$fout, iter1=returned_data$iter1, - iter=returned_data$iter,TimeTaken=proc.time()[3]-timetemp) aa } - EuclidDist2 <- function (X, Y) - { + + EuclidDist2 <- function (X, Y) { n <- nrow(X) m <- nrow(Y) bx <- rowSums(X^2) @@ -1223,29 +1386,24 @@ biplot.spline.axis <- function(j, X, Y, means, sd, test.iter1 <- temp$iter1 ### Last best coefficients perturbed - for (gammacounter in 2:(gamma+1)) - { - if (nSameSolutionConsecutively>=bigsigmaactivate) - { + for (gammacounter in 2:(gamma+1)){ + if (nSameSolutionConsecutively>=bigsigmaactivate){ temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=bigsigma)) BigSigmaActivations <- c(BigSigmaActivations,gammacounter) } else temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=smallsigma)) outTimeTaken[gammacounter] <- temp$TimeTaken tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution,nrow=1),t(outBestSolutions[,1:DistinctSolutions])) - if (any(tempSquaredDistances Date: Tue, 16 Dec 2025 12:42:38 +0200 Subject: [PATCH 12/15] Ready to install --- DESCRIPTION | 5 +++- NAMESPACE | 1 + R/RcppExports.R | 11 ++++++++ R/biplotEZ-package.R | 2 ++ man/CATPCA.Rd | 65 ------------------------------------------ man/means.Rd | 5 ++-- src/.gitignore | 3 ++ src/RcppExports.cpp | 67 ++++++++++++++++++++++++++++++++++++++++++++ 8 files changed, 91 insertions(+), 68 deletions(-) create mode 100644 R/RcppExports.R delete mode 100644 man/CATPCA.Rd create mode 100644 src/.gitignore create mode 100644 src/RcppExports.cpp diff --git a/DESCRIPTION b/DESCRIPTION index e70ead4..f12afd9 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -27,7 +27,7 @@ Description: Provides users with an EZ-to-use platform for representing data License: MIT + file LICENSE Encoding: UTF-8 Roxygen: list(markdown = TRUE) -RoxygenNote: 7.3.2 +RoxygenNote: 7.3.3 VignetteBuilder: knitr Config/testthat/edition: 3 Suggests: @@ -47,7 +47,10 @@ Imports: graphics, grDevices, plotrix, + Rcpp, splines, stats, withr NeedsCompilation: yes +LinkingTo: + Rcpp diff --git a/NAMESPACE b/NAMESPACE index 5dee822..6697b7c 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -43,6 +43,7 @@ export(rotate) export(samples) export(sqrtManhattan) export(translate_axes) +importFrom(Rcpp,sourceCpp) importFrom(grDevices,chull) importFrom(grDevices,colorRampPalette) importFrom(grDevices,grey) diff --git a/R/RcppExports.R b/R/RcppExports.R new file mode 100644 index 0000000..d943b0d --- /dev/null +++ b/R/RcppExports.R @@ -0,0 +1,11 @@ +# Generated by using Rcpp::compileAttributes() -> do not edit by hand +# Generator token: 10BE3573-1514-4C36-9D1C-5A225CD40393 + +alfunc <- function(BVEC, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V) { + .Call(`_biplotEZ_alfunc`, BVEC, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V) +} + +optimize_spline <- function(BVEC, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V, TAU, FTOL, TINY, ITMAX) { + .Call(`_biplotEZ_optimize_spline`, BVEC, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V, TAU, FTOL, TINY, ITMAX) +} + diff --git a/R/biplotEZ-package.R b/R/biplotEZ-package.R index d95718a..0b92bb4 100644 --- a/R/biplotEZ-package.R +++ b/R/biplotEZ-package.R @@ -54,5 +54,7 @@ #' @importFrom graphics points #' @importFrom graphics text #' @importFrom grDevices colorRampPalette +#' @importFrom Rcpp sourceCpp +#' @useDynLib biplotEZ, .registration = TRUE ## usethis namespace: end NULL diff --git a/man/CATPCA.Rd b/man/CATPCA.Rd deleted file mode 100644 index 210d477..0000000 --- a/man/CATPCA.Rd +++ /dev/null @@ -1,65 +0,0 @@ -% Generated by roxygen2: do not edit by hand -% Please edit documentation in R/CATPCA.R -\name{CatPCA} -\alias{CatPCA} -\title{Perform Categorical Principal Components Analysis (CatPCA)} -\usage{ -CatPCA(bp, cat.type = NULL, dim.biplot = c(2, 1, 3), e.vects = 1:ncol(bp$X), -group.aes = NULL, show.class.means = FALSE, epsilon = 1e-6) -} -\arguments{ -\item{bp}{an object of class \code{biplot} obtained from preceding function \code{biplot()}.} - -\item{cat.type}{a vector indicating whether each categorical variables is \code{nominal} or \code{ordinal}.} - -\item{dim.biplot}{the dimension of the biplot. Only values \code{1}, \code{2} and \code{3} are accepted, with default \code{2}.} - -\item{e.vects}{the vector indicating which eigenvectors (principal components) should be plotted in the biplot, with default \code{1:dim.biplot}.} - -\item{group.aes}{a vector of the same length as the number of rows in the data matrix -for differentiated aesthetics for samples.} - -\item{show.class.means}{a logical value indicating whether group means should be plotted in the biplot.} - -\item{epsilon}{convergence criteria for iterative algorithm with defaults 1e-6.} -} -\value{ -An object of class CatPCA with the following elements: -\item{X}{the matrix of the centered and scaled numeric variables.} -\item{Xcat}{the data frame of the categorical variables.} -\item{raw.X}{the original data.} -\item{classes}{the vector of category levels for the class variable. This is to be used for \code{colour}, \code{pch} and \code{cex} specifications.} -\item{na.action}{the vector of observations that have been removed.} -\item{center}{a logical value indicating whether \eqn{\mathbf{X}} is centered.} -\item{scaled}{a logical value indicating whether \eqn{\mathbf{X}} is scaled.} -\item{means}{the vector of means for each numerical variable.} -\item{sd}{the vector of standard deviations for each numerical variable.} -\item{n}{the number of observations.} -\item{p}{the number of variables.} -\item{group.aes}{the vector of category levels for the grouping variable. This is to be used for \code{colour}, \code{pch} and \code{cex} specification.} -\item{g.names}{the descriptive names to be used for group labels.} -\item{g}{the number of groups.} -\item{Title}{the title of the biplot rendered.} -\item{Z}{the matrix with each row containing the details of the points that are plotted (i.e. coordinates).} -\item{Lmat}{the matrix for transformation to the principal components.} -\item{Linv}{the inverse of \eqn{\mathbf{L}}.} -\item{eigenvalues}{the vector of eigenvalues of the covariance matrix of \eqn{\mathbf{X}}.} -\item{all.ax.one.unit}{one unit in the positive direction of each biplot axis.} -\item{ax.type}{one of numeric, ordinal or nominal.} -\item{ax.one.unit}{one unit in the positive direction of each numeric biplot axis.} -\item{nom.levels}{a list with the levels of each nominal variable} -\item{ord.levels}{a list with the levels of each ordinal variable} -\item{e.vects}{the vector indicating which principal components are plotted in the biplot.} -\item{dim.biplot}{the dimension of the biplot.} -\item{class.means}{a logical value indicating whether group means are plotted in the biplot.} -\item{Zmeans}{the matrix of class mean coordinates that are plotted in the biplot.} -} -\description{ -This function appends the \code{biplot} object with elements resulting from performing CatPCA. -} -\examples{ -biplot(iris) |> CatPCA() -# create a CatPCA biplot -biplot(data = iris) |> CatPCA() |> plot() - -} diff --git a/man/means.Rd b/man/means.Rd index 3d728e4..51a57da 100644 --- a/man/means.Rd +++ b/man/means.Rd @@ -4,14 +4,15 @@ \alias{means} \title{Format aesthetics for the class or group means} \usage{ -means (bp, which = NULL, col = NULL, pch = 15, cex = 1, label = FALSE, +means (bp, which = bp$samples$which, col = NULL, pch = 15, cex = 1, label = FALSE, label.col = NULL,label.cex = 0.75, label.side = "bottom", label.offset = 0.5, opacity = 1, shade.darker = TRUE) } \arguments{ \item{bp}{an object of class \code{biplot}.} -\item{which}{a vector containing the groups or classes for which the means should be displayed, with default \code{bp$g}.} +\item{which}{a vector containing the groups or classes for which the means should be displayed, with default +the \code{which} argument of samples.} \item{col}{the colour(s) for the means, with default as the colour of the samples.} diff --git a/src/.gitignore b/src/.gitignore new file mode 100644 index 0000000..22034c4 --- /dev/null +++ b/src/.gitignore @@ -0,0 +1,3 @@ +*.o +*.so +*.dll diff --git a/src/RcppExports.cpp b/src/RcppExports.cpp new file mode 100644 index 0000000..3d9eb9e --- /dev/null +++ b/src/RcppExports.cpp @@ -0,0 +1,67 @@ +// Generated by using Rcpp::compileAttributes() -> do not edit by hand +// Generator token: 10BE3573-1514-4C36-9D1C-5A225CD40393 + +#include + +using namespace Rcpp; + +#ifdef RCPP_USE_GLOBAL_ROSTREAM +Rcpp::Rostream& Rcpp::Rcout = Rcpp::Rcpp_cout_get(); +Rcpp::Rostream& Rcpp::Rcerr = Rcpp::Rcpp_cerr_get(); +#endif + +// alfunc +double alfunc(NumericVector BVEC, NumericMatrix X, NumericVector Y, NumericMatrix M, NumericVector MU, double LAMBDA, double CONST1, double CONST2, int U, int V); +RcppExport SEXP _biplotEZ_alfunc(SEXP BVECSEXP, SEXP XSEXP, SEXP YSEXP, SEXP MSEXP, SEXP MUSEXP, SEXP LAMBDASEXP, SEXP CONST1SEXP, SEXP CONST2SEXP, SEXP USEXP, SEXP VSEXP) { +BEGIN_RCPP + Rcpp::RObject rcpp_result_gen; + Rcpp::RNGScope rcpp_rngScope_gen; + Rcpp::traits::input_parameter< NumericVector >::type BVEC(BVECSEXP); + Rcpp::traits::input_parameter< NumericMatrix >::type X(XSEXP); + Rcpp::traits::input_parameter< NumericVector >::type Y(YSEXP); + Rcpp::traits::input_parameter< NumericMatrix >::type M(MSEXP); + Rcpp::traits::input_parameter< NumericVector >::type MU(MUSEXP); + Rcpp::traits::input_parameter< double >::type LAMBDA(LAMBDASEXP); + Rcpp::traits::input_parameter< double >::type CONST1(CONST1SEXP); + Rcpp::traits::input_parameter< double >::type CONST2(CONST2SEXP); + Rcpp::traits::input_parameter< int >::type U(USEXP); + Rcpp::traits::input_parameter< int >::type V(VSEXP); + rcpp_result_gen = Rcpp::wrap(alfunc(BVEC, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V)); + return rcpp_result_gen; +END_RCPP +} +// optimize_spline +List optimize_spline(NumericVector BVEC, NumericMatrix X, NumericVector Y, NumericMatrix M, NumericVector MU, double LAMBDA, double CONST1, double CONST2, int U, int V, double TAU, double FTOL, double TINY, int ITMAX); +RcppExport SEXP _biplotEZ_optimize_spline(SEXP BVECSEXP, SEXP XSEXP, SEXP YSEXP, SEXP MSEXP, SEXP MUSEXP, SEXP LAMBDASEXP, SEXP CONST1SEXP, SEXP CONST2SEXP, SEXP USEXP, SEXP VSEXP, SEXP TAUSEXP, SEXP FTOLSEXP, SEXP TINYSEXP, SEXP ITMAXSEXP) { +BEGIN_RCPP + Rcpp::RObject rcpp_result_gen; + Rcpp::RNGScope rcpp_rngScope_gen; + Rcpp::traits::input_parameter< NumericVector >::type BVEC(BVECSEXP); + Rcpp::traits::input_parameter< NumericMatrix >::type X(XSEXP); + Rcpp::traits::input_parameter< NumericVector >::type Y(YSEXP); + Rcpp::traits::input_parameter< NumericMatrix >::type M(MSEXP); + Rcpp::traits::input_parameter< NumericVector >::type MU(MUSEXP); + Rcpp::traits::input_parameter< double >::type LAMBDA(LAMBDASEXP); + Rcpp::traits::input_parameter< double >::type CONST1(CONST1SEXP); + Rcpp::traits::input_parameter< double >::type CONST2(CONST2SEXP); + Rcpp::traits::input_parameter< int >::type U(USEXP); + Rcpp::traits::input_parameter< int >::type V(VSEXP); + Rcpp::traits::input_parameter< double >::type TAU(TAUSEXP); + Rcpp::traits::input_parameter< double >::type FTOL(FTOLSEXP); + Rcpp::traits::input_parameter< double >::type TINY(TINYSEXP); + Rcpp::traits::input_parameter< int >::type ITMAX(ITMAXSEXP); + rcpp_result_gen = Rcpp::wrap(optimize_spline(BVEC, X, Y, M, MU, LAMBDA, CONST1, CONST2, U, V, TAU, FTOL, TINY, ITMAX)); + return rcpp_result_gen; +END_RCPP +} + +static const R_CallMethodDef CallEntries[] = { + {"_biplotEZ_alfunc", (DL_FUNC) &_biplotEZ_alfunc, 10}, + {"_biplotEZ_optimize_spline", (DL_FUNC) &_biplotEZ_optimize_spline, 14}, + {NULL, NULL, 0} +}; + +RcppExport void R_init_biplotEZ(DllInfo *dll) { + R_registerRoutines(dll, NULL, CallEntries, NULL, NULL); + R_useDynamicSymbols(dll, FALSE); +} From 7cd669b434b5a16d208e94de03476ba964245b95 Mon Sep 17 00:00:00 2001 From: Khaled Masoumifard Date: Sun, 28 Dec 2025 17:40:18 +0200 Subject: [PATCH 13/15] Differences with orignal code (fortran): //Optimize alfunc by computing Z directly from BVEC and combining loops //- Eliminated intermediate B matrix creation by computing Z = M %*% B directly from BVEC vector //- Combined three separate loops (exind, prediction, loss calculation) into single pass //- Removed fortran-unused utility functions matm() and exind() //- Reduces memory allocations and improves cache locality //- Maintains identical mathematical behavior with better performance --- man/CatPCA.Rd | 65 ++++++++++++++++++ src/LnjTinyNew.cpp | 160 +++++++++++++++++---------------------------- src/LnjTinyNew.o | Bin 1121952 -> 1090643 bytes src/biplotEZ.dll | Bin 4197197 -> 4177051 bytes 4 files changed, 125 insertions(+), 100 deletions(-) create mode 100644 man/CatPCA.Rd diff --git a/man/CatPCA.Rd b/man/CatPCA.Rd new file mode 100644 index 0000000..210d477 --- /dev/null +++ b/man/CatPCA.Rd @@ -0,0 +1,65 @@ +% Generated by roxygen2: do not edit by hand +% Please edit documentation in R/CATPCA.R +\name{CatPCA} +\alias{CatPCA} +\title{Perform Categorical Principal Components Analysis (CatPCA)} +\usage{ +CatPCA(bp, cat.type = NULL, dim.biplot = c(2, 1, 3), e.vects = 1:ncol(bp$X), +group.aes = NULL, show.class.means = FALSE, epsilon = 1e-6) +} +\arguments{ +\item{bp}{an object of class \code{biplot} obtained from preceding function \code{biplot()}.} + +\item{cat.type}{a vector indicating whether each categorical variables is \code{nominal} or \code{ordinal}.} + +\item{dim.biplot}{the dimension of the biplot. Only values \code{1}, \code{2} and \code{3} are accepted, with default \code{2}.} + +\item{e.vects}{the vector indicating which eigenvectors (principal components) should be plotted in the biplot, with default \code{1:dim.biplot}.} + +\item{group.aes}{a vector of the same length as the number of rows in the data matrix +for differentiated aesthetics for samples.} + +\item{show.class.means}{a logical value indicating whether group means should be plotted in the biplot.} + +\item{epsilon}{convergence criteria for iterative algorithm with defaults 1e-6.} +} +\value{ +An object of class CatPCA with the following elements: +\item{X}{the matrix of the centered and scaled numeric variables.} +\item{Xcat}{the data frame of the categorical variables.} +\item{raw.X}{the original data.} +\item{classes}{the vector of category levels for the class variable. This is to be used for \code{colour}, \code{pch} and \code{cex} specifications.} +\item{na.action}{the vector of observations that have been removed.} +\item{center}{a logical value indicating whether \eqn{\mathbf{X}} is centered.} +\item{scaled}{a logical value indicating whether \eqn{\mathbf{X}} is scaled.} +\item{means}{the vector of means for each numerical variable.} +\item{sd}{the vector of standard deviations for each numerical variable.} +\item{n}{the number of observations.} +\item{p}{the number of variables.} +\item{group.aes}{the vector of category levels for the grouping variable. This is to be used for \code{colour}, \code{pch} and \code{cex} specification.} +\item{g.names}{the descriptive names to be used for group labels.} +\item{g}{the number of groups.} +\item{Title}{the title of the biplot rendered.} +\item{Z}{the matrix with each row containing the details of the points that are plotted (i.e. coordinates).} +\item{Lmat}{the matrix for transformation to the principal components.} +\item{Linv}{the inverse of \eqn{\mathbf{L}}.} +\item{eigenvalues}{the vector of eigenvalues of the covariance matrix of \eqn{\mathbf{X}}.} +\item{all.ax.one.unit}{one unit in the positive direction of each biplot axis.} +\item{ax.type}{one of numeric, ordinal or nominal.} +\item{ax.one.unit}{one unit in the positive direction of each numeric biplot axis.} +\item{nom.levels}{a list with the levels of each nominal variable} +\item{ord.levels}{a list with the levels of each ordinal variable} +\item{e.vects}{the vector indicating which principal components are plotted in the biplot.} +\item{dim.biplot}{the dimension of the biplot.} +\item{class.means}{a logical value indicating whether group means are plotted in the biplot.} +\item{Zmeans}{the matrix of class mean coordinates that are plotted in the biplot.} +} +\description{ +This function appends the \code{biplot} object with elements resulting from performing CatPCA. +} +\examples{ +biplot(iris) |> CatPCA() +# create a CatPCA biplot +biplot(data = iris) |> CatPCA() |> plot() + +} diff --git a/src/LnjTinyNew.cpp b/src/LnjTinyNew.cpp index c46e289..4efc280 100644 --- a/src/LnjTinyNew.cpp +++ b/src/LnjTinyNew.cpp @@ -2,117 +2,73 @@ #include using namespace Rcpp; -// ========== UTILITY FUNCTIONS ========== +// Khaled: differences with fortran: +//Optimize alfunc by computing Z directly from BVEC and combining loops +//- Eliminated intermediate B matrix creation by computing Z = M %*% B directly from BVEC vector +//- Combined three separate loops (exind, prediction, loss calculation) into single pass +//- Removed fortran-unused utility functions matm() and exind() +//- Reduces memory allocations and improves cache locality +//- Maintains identical mathematical behavior with better performance -NumericMatrix matm(NumericMatrix A, NumericMatrix B) { - int a1 = A.nrow(); - int a2b1 = A.ncol(); - int b2 = B.ncol(); - - NumericMatrix OUT(a1, b2); - - for(int j = 0; j < b2; j++) { - for(int i = 0; i < a1; i++) { - OUT(i, j) = 0.0; - for(int k = 0; k < a2b1; k++) { - OUT(i, j) += A(i, k) * B(k, j); +// [[Rcpp::export]] +double alfunc(NumericVector BVEC, + NumericMatrix X, + NumericVector Y, + NumericMatrix M, + NumericVector MU, + double LAMBDA, + double CONST1, + double CONST2, + int U, int V) { + // to remain consistent with the paper, we should set const1 = 1 and lambda = 0. + int n = X.nrow(); + int p = X.ncol(); + int nmu = MU.length(); + int uv = U + V; + + // Compute Z = M %*% B directly from BVEC without creating B + NumericMatrix Z(nmu, p); + + for(int j = 0; j < p; j++) { + int bvec_offset = j * uv; // Starting index in BVEC for column j + for(int i = 0; i < nmu; i++) { + Z(i, j) = 0.0; + for(int k = 0; k < uv; k++) { + Z(i, j) += M(i, k) * BVEC[bvec_offset + k]; } } } - return OUT; -} - -//The following function is very time-consuming; there may be a better alternative. -IntegerVector exind(NumericMatrix Z, NumericMatrix X) { - int n = X.nrow(); - int p = X.ncol(); - int nmu = Z.nrow(); - - IntegerVector IND(n); + // Combined loop: find nearest index, get prediction, and calculate loss + double temp1 = 0.0; for(int i = 0; i < n; i++) { - IND[i] = 0; + int closest_idx = 0; double rmin = 1.0e9; + // Find closest Z row to X row i for(int j = 0; j < nmu; j++) { - double temp1 = 0.0; + double temp_dist = 0.0; for(int k = 0; k < p; k++) { double diff = X(i, k) - Z(j, k); - temp1 += diff * diff; + temp_dist += diff * diff; } - if(temp1 < rmin) { - rmin = temp1; - IND[i] = j; + if(temp_dist < rmin) { + rmin = temp_dist; + closest_idx = j; } } - } - - return IND; -} - - -// [[Rcpp::export]] -double alfunc(NumericVector BVEC, - NumericMatrix X, - NumericVector Y, - NumericMatrix M, - NumericVector MU, - double LAMBDA, - double CONST1, - double CONST2, - int U, int V) { - // to remain consistent with the paper, we should set const1 = 1 and lambda = 0. - int n = X.nrow(); - int p = X.ncol(); - int nmu = MU.length(); - - // CRITICAL FIX: Reshape BVEC to match FORTRAN's column-major storage - // FORTRAN stores matrix as: column 1, then column 2, etc. - // This matches R's matrix(bvec, nrow=U+V, ncol=p) - - NumericMatrix B(U + V, p); - - // Fill B column by column (FORTRAN/R style) - int idx = 0; - for(int j = 0; j < p; j++) { - for(int i = 0; i < (U + V); i++) { - B(i, j) = BVEC[idx]; - idx++; - } - } - - // Alternative (more concise): - // for(int i = 0; i < (U + V); i++) { - // for(int j = 0; j < p; j++) { - // B(i, j) = BVEC[i + j * (U + V)]; - // } - // } - - // Z = M %*% B - NumericMatrix Z = matm(M, B); - - // Get indices - IntegerVector IND = exind(Z, X); - - // Get predictions - NumericVector PRED(n); - for(int i = 0; i < n; i++) { - PRED[i] = MU[IND[i]]; - } - - // Calculate loss term - double temp1 = 0.0; - for(int i = 0; i < n; i++) { - double diff = Y[i] - PRED[i]; + + // Calculate loss immediately using the closest index + double diff = Y[i] - MU[closest_idx]; temp1 += diff * diff; } double loss = temp1 / CONST1; - // Add penalty term if lambda > 0: + // Add penalty term if lambda > 0 if(LAMBDA > 0.0 && nmu > 2) { double temp2 = 0.0; for(int j = 0; j < p; j++) { @@ -127,11 +83,7 @@ double alfunc(NumericVector BVEC, return loss; } -// Khaled: There is substantial redundancy between `alfunc` and `exind`. -// Combining them could improve computational performance. - - - +//Khaled: // ========== SIMPLEX SETUP ========== NumericMatrix varset(NumericVector BVEC, int U, int V, int P, double TAU) { int andim = (U + V) * P; @@ -166,12 +118,20 @@ NumericMatrix varset(NumericVector BVEC, int U, int V, int P, double TAU) { } // ========== 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z8!m#~VYEkKW`=mxZfOuGeO4Wj|39%_IWT*TT7>zCr9~ZKYphjEyiFCW_o*4exerc) zU!$256N$f#iqs4&EL96*xv=wN9dVzS^rsK2ZOk-SVTT_Uf2t$c+ z)(lKJpp6)YSqC1 z{h^j(N@c$HP1jnRuL?fXvlDYtUpPP3vxN6?gjal?qM4Cn3L^nBg>RkSg!m`Q?uOA% zGg7T;nh1Wbled9J=~`Ar(XxYPOGJDXQC>rPguESYG`T^;gVJG++An)v5*_?V#NpPf}rYxt<~XTM@&_ z*pD*XO0BY}`K4AZV64?HrJ8QJ5|MFUf+0p1gWzSnwe80Y$|XP`&{G2gHfqI{NO-r} zqSX_N*Jv@9MdLEb;`O~jp!*iBSw-0sO|wkt|7{M1v=C3}ZpyWQtcqTJ5B`SlJY Date: Sun, 28 Dec 2025 17:41:04 +0200 Subject: [PATCH 14/15] fixed all the randomness in this code (using seed), so you should see a similar result for Rcpp and Fortran. --- tests/temp/compare_Rcpp_FORTRAN.R | 427 +++++++++++++++++++++++++ tests/temp/fortran.R | 189 +++++++++++ tests/temp/fortran.dll | Bin 0 -> 22016 bytes tests/temp/replace_fortran_with_Rcpp.R | 335 ++++++++++++++----- 4 files changed, 865 insertions(+), 86 deletions(-) create mode 100644 tests/temp/compare_Rcpp_FORTRAN.R create mode 100644 tests/temp/fortran.dll diff --git a/tests/temp/compare_Rcpp_FORTRAN.R b/tests/temp/compare_Rcpp_FORTRAN.R new file mode 100644 index 0000000..57e6f73 --- /dev/null +++ b/tests/temp/compare_Rcpp_FORTRAN.R @@ -0,0 +1,427 @@ +library(Rcpp) +library(splines) +#chang this according to your path +setwd("C:\\Users\\29827094\\Documents\\GitHub\\biplotEZ") +# Compile Rcpp code (has alfunc_rcpp and optimize_spline_rcpp) +sourceCpp("src\\LnjTinyNew.cpp") + +# Load FORTRAN code +dyn.load("tests\\temp\\fortran.dll") + +# ======================================== +# I fixed all the randomness in this code (using seed), so you should see a similar result for Rcpp and Fortran. +# ======================================== + +biplot.spline.axis <- function(j, X, Y, means, sd, n.int, + spline.control, dmeth=0, + optim_method = "rcpp", + fix_seed = TRUE, # NEW PARAMETER + base_seed = NULL, # NEW PARAMETER + sampling_seed = NULL, # NEW: separate seed for sampling + ...) { + + + n <- nrow(X) + p <- ncol(X) + + # Set seed BEFORE sampling if provided + #new + if (!is.null(sampling_seed)) { + set.seed(sampling_seed) + } + #I dont know why we have this: + if (n > 103) { + my.sample <- sample(1:n, size=103, replace=F) + X <- X[my.sample,] + Y <- Y[my.sample,] + n <- nrow(X) + } + + # Extract control parameters + tau <- spline.control$tau + nmu <- spline.control$nmu + u <- spline.control$u + v <- spline.control$v + lambda <- spline.control$lambda + smallsigma <- spline.control$smallsigma + bigsigma <- spline.control$bigsigma + gamma <- spline.control$gamma + bigsigmaactivate <- spline.control$bigsigmaactivate + eps <- spline.control$eps + tiny <- spline.control$tiny + itmax <- spline.control$itmax + ftol <- spline.control$ftol + + cat("Calculating spline axis for variable", j, "using", optim_method, "\n") + + if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") + + Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), + center=-1*means, scale=FALSE) + + ytilde <- Ytilde[,j] + mutilde <- seq(from=min(ytilde), to=max(ytilde), length.out=nmu) + y <- Y[,j] + rangey <- max(y) - min(y) + mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=nmu) + markers <- (pretty(ytilde) - means[j]) / sd[j] + mu <- sort(c(mu, markers)) + mu <- unique(mu) + nmu <- length(mu) + + if (v > 0) { + knots <- seq.int(from=0, to=1, length.out=v+2)[-c(1, v+2)] + knots <- stats::quantile(y, knots) + M <- splines::bs(mu, knots=knots, degree=u, intercept=FALSE) + } else { + M <- splines::bs(mu, df=u+v, degree=u, intercept=FALSE) + } + + M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) + Zreg <- mu%*%Breg / sum(Breg^2) + Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) + + const1 <- sum(y^2) + const2 <- sum(X^2) / (n*p) + + # ======================================== + # OPTIMIZATION WRAPPER + # ======================================== + + optimtouse <- function(Bvec) { + timetemp <- proc.time()[3] + + if (optim_method == "rcpp") { + # Use Rcpp two-stage + returned_data <- optimize_spline( + BVEC = Bvec, X = X, Y = y, M = M, MU = mu, + LAMBDA = lambda, CONST1 = const1, CONST2 = const2, + U = u, V = v, TAU = tau, FTOL = ftol, TINY = tiny, ITMAX = itmax + ) + + if(returned_data$ERRO > 0) { + cat(" Error code:", returned_data$ERRO, "\n") + } + + aa <- list( + BestValue = returned_data$LOSS, + BestSolution = returned_data$BVEC, + ConvergenceCode = returned_data$ERRO, + iter1 = returned_data$ITER1, + iter = returned_data$ITER, + TimeTaken = proc.time()[3] - timetemp + ) + + } else if (optim_method == "fortran") { + # Use FORTRAN two-stage + returned_data <- .Fortran("l", + LOSS = as.double(0), + X = as.double(X), + N = as.integer(n), + P = as.integer(p), + NMU = as.integer(nmu), + IND = as.integer(rep(0, n)), + MU = as.double(mu), + PRED = as.double(rep(0, n)), + LAMBDA = as.double(lambda), + Y = as.double(y), + CONST1 = as.double(const1), + CONST2 = as.double(const2), + U = as.integer(u), + V = as.integer(v), + M = as.double(M), + BVEC = as.double(Bvec), + TAU = as.double(tau), + AY = as.double(rep(0, (u+v)*p+1)), + TEMPVK = as.double(rep(0, (u+v)*p)), + ITER = as.integer(0), + FTOL = as.double(ftol), + LOSS1 = as.double(0), + ITER1 = as.integer(0), + ERRO = as.integer(0), + CONST3 = as.double(tiny), + ITMAX = as.integer(itmax) + ) + + if(returned_data$ERRO > 0) { + cat(" Error code:", returned_data$ERRO, "\n") + } + + aa <- list( + BestValue = returned_data$LOSS, + BestSolution = returned_data$BVEC, + ConvergenceCode = returned_data$ERRO, + iter1 = returned_data$ITER1, + iter = returned_data$ITER, + TimeTaken = proc.time()[3] - timetemp + ) + } + + aa + } + + EuclidDist2 <- function(X, Y) { + n <- nrow(X) + m <- nrow(Y) + bx <- rowSums(X^2) + by <- rowSums(Y^2) + outer(bx, by, FUN = "+") - 2 * X %*% t(Y) + } + + # Variable initialization + outBestValues <- rep(NA, gamma+1) + outBestSolutions <- matrix(nrow=2*(u+v), ncol=gamma+1) + outTimeTaken <- rep(NA, gamma+1) + BestSolutionsFrequency <- rep(NA, gamma+1) + BestSolutionsIndices <- rep(NA, gamma+1) + + # ======================================== + # PRE-GENERATE ALL RANDOM PERTURBATIONS + #new + # ======================================== + if (fix_seed && !is.null(base_seed)) { + set.seed(base_seed) + } + + # Pre-generate random perturbations for all gamma iterations + random_perturbations <- list() + for (gammacounter in 2:(gamma+1)) { + # Generate perturbation for this iteration + # We don't know yet if it will use smallsigma or bigsigma, + # so we pre-generate both and decide later + random_perturbations[[gammacounter]] <- list( + small = stats::rnorm((u+v)*2, mean=0, sd=smallsigma), + big = stats::rnorm((u+v)*2, mean=0, sd=bigsigma) + ) + } + + # Initial coefficients + temp <- optimtouse(Bvec) + outBestValues[1] <- temp$BestValue + outBestSolutions[,1] <- temp$BestSolution + outTimeTaken[1] <- temp$TimeTaken + BestSolutionsFrequency[1] <- 1 + BestSolutionsIndices[1] <- 1 + DistinctSolutions <- 1 + PreviousBestSolution <- NA + nSameSolutionConsecutively <- 0 + + # Multi-start optimization + for (gammacounter in 2:(gamma+1)) { + # Use pre-generated perturbations + if (nSameSolutionConsecutively >= bigsigmaactivate) { + perturbation <- random_perturbations[[gammacounter]]$big + } else { + perturbation <- random_perturbations[[gammacounter]]$small + } + + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + perturbation) + + outTimeTaken[gammacounter] <- temp$TimeTaken + tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution, nrow=1), + t(outBestSolutions[,1:DistinctSolutions])) + + if (any(tempSquaredDistances < eps)) { + BestSolutionsIndices[gammacounter] <- tempAA <- which.min(tempSquaredDistances) + BestSolutionsFrequency[tempAA] <- BestSolutionsFrequency[tempAA] + 1 + if (!is.na(PreviousBestSolution) && tempAA == PreviousBestSolution) { + nSameSolutionConsecutively <- nSameSolutionConsecutively + 1 + } else { + PreviousBestSolution <- tempAA + nSameSolutionConsecutively <- 0 + } + } else { + DistinctSolutions <- DistinctSolutions + 1 + outBestValues[DistinctSolutions] <- temp$BestValue + outBestSolutions[,DistinctSolutions] <- temp$BestSolution + BestSolutionsFrequency[DistinctSolutions] <- 1 + BestSolutionsIndices[gammacounter] <- DistinctSolutions + nSameSolutionConsecutively <- 0 + } + } + + axis.points <- cbind(M %*% matrix(outBestSolutions[,which.min(outBestValues)], ncol=2), + mu, 0) + + for (i in 1:nrow(axis.points)) { + if (any(zapsmall(axis.points[i,3] - markers) == 0)) { + axis.points[i, 4] <- 1 + } + } + + axis.points[,3] <- axis.points[,3] * sd[j] + means[j] + + # Return with attributes + attr(axis.points, "loss") <- min(outBestValues, na.rm=TRUE) + attr(axis.points, "bvec") <- outBestSolutions[,which.min(outBestValues)] + attr(axis.points, "total_time") <- sum(outTimeTaken, na.rm=TRUE) + attr(axis.points, "distinct_solutions") <- DistinctSolutions + + axis.points +} + +# ======================================== +# EXAMPLE 1: CALCULATE LOSS FUNCTION +# ======================================== + +set.seed(123) + +n <- 150 +p <- 2 +Y <- matrix(rnorm(n * 2), ncol = 2) +Y[, 2] <- Y[, 1] + rnorm(n, 0, 0.5) + +means <- colMeans(Y) +sd <- apply(Y, 2, sd) +X <- Y[, 1:2] + matrix(rnorm(n * p, 0, 0.3), ncol = p) + +spline.control <- list( + tau = 0.01, nmu = 10, u = 3, v = 0, lambda = 0.1, + smallsigma = 0.1, bigsigma = 1.0, gamma = 3, bigsigmaactivate = 2, + eps = 1e-6, tiny = 1e-4, itmax = 500, ftol = 1e-4 +) + +j <- 1 +y <- Y[, j] +rangey <- max(y) - min(y) +mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=10) +M <- splines::bs(mu, df=3, degree=3, intercept=FALSE) +M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + +const1 <- sum(y^2) +const2 <- sum(X^2) / (n*p) +lambda <- 0.1 +u <- 3 +v <- 0 + +# Test Bvec +Bvec_test <- rnorm((u+v)*p) + +cat("========================================\n") +cat("EXAMPLE 1: LOSS FUNCTION CALCULATION\n") +cat("========================================\n\n") + +loss_value <- alfunc(Bvec_test, X, y, M, mu, lambda, const1, const2, u, v) +cat("Test Bvec:", round(Bvec_test, 4), "\n") +cat("Loss value:", loss_value, "\n\n") + +# ======================================== +# EXAMPLE 2: COMPARE RCPP VS FORTRAN +# ======================================== + +cat("========================================\n") +cat("EXAMPLE 2: RCPP VS FORTRAN COMPARISON\n") +cat("WITH FIXED SEED FOR REPRODUCIBILITY\n") +cat("========================================\n\n") + +COMPARISON_SEED <- 999 # Use same seed for both methods +SAMPLING_SEED <- 777 # NEW: Separate seed for data sampling + +# Method 1: Rcpp +cat("1. Running Rcpp...\n") +time_rcpp <- system.time({ + result_rcpp <- biplot.spline.axis( + j = 1, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, + dmeth = 0, optim_method = "rcpp", + fix_seed = TRUE, base_seed = COMPARISON_SEED, + sampling_seed = SAMPLING_SEED # NEW: Control sampling + ) +}) + +# Method 2: FORTRAN +cat("\n2. Running FORTRAN...\n") +time_fortran <- system.time({ + result_fortran <- biplot.spline.axis( + j = 1, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, + dmeth = 0, optim_method = "fortran", + fix_seed = TRUE, base_seed = COMPARISON_SEED, + sampling_seed = SAMPLING_SEED # NEW: Control sampling + ) +}) + +# ======================================== +# COMPARE RESULTS +# ======================================== + +cat("\n========================================\n") +cat("COMPARISON RESULTS\n") +cat("========================================\n\n") + +cat("TIMING (seconds):\n") +cat(sprintf(" %-15s: %7.3f\n", "Rcpp", time_rcpp[3])) +cat(sprintf(" %-15s: %7.3f\n", "FORTRAN", time_fortran[3])) +cat(sprintf(" %-15s: %7.3f\n", "Speedup", time_fortran[3] / time_rcpp[3])) +cat("\n") + +cat("LOSS VALUES:\n") +loss_rcpp <- attr(result_rcpp, "loss") +loss_fortran <- attr(result_fortran, "loss") + +cat(sprintf(" %-15s: %.12f\n", "Rcpp", loss_rcpp)) +cat(sprintf(" %-15s: %.12f\n", "FORTRAN", loss_fortran)) +cat("\n") + +cat("COEFFICIENT VECTORS (bvec):\n") +bvec_rcpp <- attr(result_rcpp, "bvec") +bvec_fortran <- attr(result_fortran, "bvec") + +cat(" Rcpp: ", round(bvec_rcpp, 6), "\n") +cat(" FORTRAN: ", round(bvec_fortran, 6), "\n") +cat("\n") + +cat("DIFFERENCES:\n") +loss_diff <- abs(loss_rcpp - loss_fortran) +bvec_diff <- sqrt(sum((bvec_rcpp - bvec_fortran)^2)) + +cat(sprintf(" %-25s: %.15f\n", "Loss difference", loss_diff)) +cat(sprintf(" %-25s: %.15f\n", "Bvec L2 distance", bvec_diff)) +cat("\n") + +# Check if results are practically identical +if (loss_diff < 1e-8 && bvec_diff < 1e-8) { + cat("✓ Results are essentially IDENTICAL!\n\n") +} else if (loss_diff < 1e-6 && bvec_diff < 1e-6) { + cat("✓ Results are very close (within numerical precision)\n\n") +} else { + cat("✗ Results differ significantly - investigation needed\n\n") +} + +# ======================================== +# EXAMPLE 3: TEST REPEATABILITY +# ======================================== + +cat("========================================\n") +cat("EXAMPLE 3: REPEATABILITY TEST\n") +cat("========================================\n\n") + +cat("Running Rcpp twice with same seed:\n") +result_rcpp_1 <- biplot.spline.axis( + j = 1, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, + dmeth = 0, optim_method = "rcpp", + fix_seed = TRUE, base_seed = 777, + sampling_seed = 888 # Add sampling seed +) + +result_rcpp_2 <- biplot.spline.axis( + j = 1, X = X, Y = Y, means = means, sd = sd, + n.int = NULL, spline.control = spline.control, + dmeth = 0, optim_method = "rcpp", + fix_seed = TRUE, base_seed = 777, + sampling_seed = 888 # Same sampling seed +) + +loss_diff <- abs(attr(result_rcpp_1, "loss") - attr(result_rcpp_2, "loss")) +bvec_diff <- sqrt(sum((attr(result_rcpp_1, "bvec") - attr(result_rcpp_2, "bvec"))^2)) + +cat(sprintf(" Loss difference: %.15f\n", loss_diff)) +cat(sprintf(" Bvec difference: %.15f\n", bvec_diff)) + +if (loss_diff < 1e-10 && bvec_diff < 1e-10) { + cat(" ✓ Results are identical!\n") +} else { + cat(" ✗ Results differ (possible numerical precision issues)\n") +} \ No newline at end of file diff --git a/tests/temp/fortran.R b/tests/temp/fortran.R index f41313a..0f68db6 100644 --- a/tests/temp/fortran.R +++ b/tests/temp/fortran.R @@ -229,6 +229,194 @@ biplot.spline.axis <- function(j, X, Y, means, sd, n.int, +biplot.spline.axis <- function(j, X, Y, means, sd, + n.int, spline.control, dmeth=0, ... ){ + n <- nrow(X) + p <- ncol(X) + if (n > 103){ + my.sample <- sample (1:n, size=103, replace=F) + X <- X[my.sample,] + Y <- Y[my.sample,] + n <- nrow(X) + } + + tau <- spline.control$tau + nmu <- spline.control$nmu + u <- spline.control$u + v <- spline.control$v + lambda <- spline.control$lambda + smallsigma <- spline.control$smallsigma + bigsigma <- spline.control$bigsigma + gamma <- spline.control$gamma + bigsigmaactivate <- spline.control$bigsigmaactivate + eps <- spline.control$eps + tiny <- spline.control$tiny + itmax <- spline.control$itmax + ftol <- spline.control$ftol + + cat ("Calculating spline axis for variable", j, "\n") + if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") + Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), center=-1*means, scale=FALSE) + + ytilde <- Ytilde[,j] + mutilde <- seq(from=min(ytilde),to=max(ytilde),length.out=nmu) + y <- Y[,j] + rangey <- max(y)-min(y) + mu <- seq(from=min(y)-.3*rangey,to=max(y)+.3*rangey,length.out=nmu) + markers <- (pretty(ytilde)-means[j])/sd[j] + mu <- sort(c(mu,markers)) + mu <- unique(mu) + nmu <- length(mu) + + if (v>0){ + knots <- seq.int(from=0,to=1,length.out=v+2)[-c(1,v+2)] + knots <- stats::quantile(y,knots) + M <- splines::bs(mu,knots=knots,degree=u,intercept=FALSE) + } else M <- splines::bs(mu,df=u+v,degree=u,intercept=FALSE) + M <- scale(M,scale=FALSE,center=M[which.min(abs(mu)),]) # To ensure that the spline passes through the origin at the calibration which represents the mean of the variable + Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) + Zreg <- mu%*%Breg/sum(Breg^2) + Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) # Closest to regression biplot + + const1 <- sum(y^2) + const2 <- sum(X^2)/(n*p) + TotalNumberOfLossFunctionCalls <- 0 + + optimtouse <- function(Bvec){ + timetemp <- proc.time()[3] + LOSS <- 1.0 + LOSS1 <- 1.0 + Ind <- rep(1,n) + pred <- rep(0,nmu) + deltmp <- 0 + tau <- tau + #.5 # the choice of tau seems to affect perfomance quite substantially. + # tau is used to specify the points on the inital simplex. + Ay <- rep(0,(u+v)*p+1) + TEMPVK <- rep(0,(u+v)*p) + iter1 <- 0 + iter <- 0 + ERRO <- 0 + + # Prepare for Fortran subroutine + storage.mode(X) <- "double" + storage.mode(Ind) <- "integer" + storage.mode(mu) <- "double" + storage.mode(pred) <- "double" + storage.mode(y) <- "double" + storage.mode(M) <- "double" + storage.mode(Bvec) <- "double" + storage.mode(Ay) <- "double" + storage.mode(TEMPVK) <- "double" + + returned_data <- .Fortran("l", + LOSS = as.double(0), + X = as.double(X), + N = as.integer(n), + P = as.integer(p), + NMU = as.integer(nmu), + IND = as.integer(rep(0, n)), + MU = as.double(mu), + PRED = as.double(rep(0, n)), + LAMBDA = as.double(lambda), + Y = as.double(y), + CONST1 = as.double(const1), + CONST2 = as.double(const2), + U = as.integer(u), + V = as.integer(v), + M = as.double(M), + BVEC = as.double(Bvec), + TAU = as.double(tau), + AY = as.double(rep(0, (u+v)*p+1)), + TEMPVK = as.double(rep(0, (u+v)*p)), + ITER = as.integer(0), + FTOL = as.double(ftol), + LOSS1 = as.double(0), + ITER1 = as.integer(0), + ERRO = as.integer(0), + CONST3 = as.double(tiny), + ITMAX = as.integer(itmax) + ) + + aa <- list( + BestValue = returned_data$LOSS, + BestSolution = returned_data$BVEC, + ConvergenceCode = returned_data$ERRO, + iter1 = returned_data$ITER1, + iter = returned_data$ITER, + TimeTaken = proc.time()[3] - timetemp + ) + + aa + } + EuclidDist2 <- function (X, Y){ + n <- nrow(X) + m <- nrow(Y) + bx <- rowSums(X^2) + by <- rowSums(Y^2) + outer(bx, by, FUN = "+") - 2 * X %*% t(Y) + } + + ### Variable initialisation + outBestValues <- rep(NA,gamma+1) + outBestSolutions <- matrix(nrow=2*(u+v),ncol=gamma+1) + outTimeTaken <- rep(NA,gamma+1) # Is made one element longer at each iteration. + BestSolutionsFrequency <- rep(NA,gamma+1) + BestSolutionsIndices <- rep(NA,gamma+1) # Is made one element longer at each iteration. + SquaredDistancesBetweenBestSolutions <- matrix(nrow=gamma+1,ncol=gamma+1) + + ### Initial coefficients closest to regression biplot + temp <- optimtouse(Bvec) + outBestValues[1] <- temp$BestValue + outBestSolutions[,1] <- temp$BestSolution + outTimeTaken[1] <- temp$TimeTaken + BestSolutionsFrequency[1] <- 1 + BestSolutionsIndices[1] <- 1 + DistinctSolutions <- 1 + PreviousBestSolution <- NA + nSameSolutionConsecutively <- 0 + BigSigmaActivations <- NULL + + test.iter <- temp$iter + test.iter1 <- temp$iter1 + + ### Last best coefficients perturbed + for (gammacounter in 2:(gamma+1)){ + if (nSameSolutionConsecutively>=bigsigmaactivate){ + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=bigsigma)) + BigSigmaActivations <- c(BigSigmaActivations,gammacounter) + } + else temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=smallsigma)) + outTimeTaken[gammacounter] <- temp$TimeTaken + tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution,nrow=1),t(outBestSolutions[,1:DistinctSolutions])) + if (any(tempSquaredDistanceswgG0a-13LEpPTjgm zC#W;ud+*zw{T}zD`qZg9Rdwo|Q>RYVy`k`~W|qttOF@dq8QTF!kBk3)_fG?=&zt(} zd2HL5moC|1QC_-aVP#dlBT!d+Z(Zp!M_Fl2O>NMz)bFSZ)i|nZ9G+ViIF{9x`)7?G zKh`O__7yNz{)=(!yx-2LGDjO=vo0N%lr)1~iIUrpk{HXL2xupY=XIb)9vR}B9xD;i zGk}D`@pm%JtHi>XgGxo)gbeSC*BITlGWG$XTN&$4Gs^jIfU$L=YmWCawlbl5bhe>{ zv8>UBz%!pjJ8<)D&#a(-We}A+a_~dE(cI0+AxlpQ{>>^c4VEI`i^P0L#M>M~h94JW zu~~HnVXqbCB}l1Axkw3*3u>MfFzEOkF;_n3^$A4Ca=MiU-6R^X0f~6aM@o2H)Zfzj 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n+7(qN9~U~9?gCf#4+>>klC8un%j!Zx#w>}0{;$xk*(|i literal 0 HcmV?d00001 diff --git a/tests/temp/replace_fortran_with_Rcpp.R b/tests/temp/replace_fortran_with_Rcpp.R index 549e690..53b1d24 100644 --- a/tests/temp/replace_fortran_with_Rcpp.R +++ b/tests/temp/replace_fortran_with_Rcpp.R @@ -1,25 +1,201 @@ library(Rcpp) - library(splines) - - # chenge this path according to your system sourceCpp("C:\\Users\\29827094\\Documents\\GitHub\\biplotEZ\\src\\LnjTinyNew.cpp") -#The following function exactly follows the main function in the library (R/plot2D.R). -biplot.spline.axis <- function(j, X, Y, means, sd, - n.int, spline.control, dmeth=0, ...) { +# #The following function exactly follows the main function in the library (R/plot2D.R). +# biplot.spline.axis <- function(j, X, Y, means, sd, +# n.int, spline.control, dmeth=0, ...) { + +# n <- nrow(X) +# p <- ncol(X) +# if (n > 103) { +# my.sample <- sample(1:n, size=103, replace=F) +# X <- X[my.sample,] +# Y <- Y[my.sample,] +# n <- nrow(X) +# } + +# tau <- spline.control$tau +# nmu <- spline.control$nmu +# u <- spline.control$u +# v <- spline.control$v +# lambda <- spline.control$lambda +# smallsigma <- spline.control$smallsigma +# bigsigma <- spline.control$bigsigma +# gamma <- spline.control$gamma +# bigsigmaactivate <- spline.control$bigsigmaactivate +# eps <- spline.control$eps +# tiny <- spline.control$tiny +# itmax <- spline.control$itmax +# ftol <- spline.control$ftol + +# cat("Calculating spline axis for variable", j) + +# if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") + +# Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), +# center=-1*means, scale=FALSE) + +# ytilde <- Ytilde[,j] +# mutilde <- seq(from=min(ytilde), to=max(ytilde), length.out=nmu) +# y <- Y[,j] +# rangey <- max(y) - min(y) +# mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=nmu) +# markers <- (pretty(ytilde) - means[j]) / sd[j] +# mu <- sort(c(mu, markers)) +# mu <- unique(mu) +# nmu <- length(mu) + +# if (v > 0) { +# knots <- seq.int(from=0, to=1, length.out=v+2)[-c(1, v+2)] +# knots <- stats::quantile(y, knots) +# M <- splines::bs(mu, knots=knots, degree=u, intercept=FALSE) +# } else { +# M <- splines::bs(mu, df=u+v, degree=u, intercept=FALSE) +# } + +# M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) +# Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) +# Zreg <- mu%*%Breg / sum(Breg^2) +# Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) + +# const1 <- sum(y^2) +# const2 <- sum(X^2) / (n*p) + +# # ======================================== +# #The Fortran call has been replaced by the following Rcpp function +# #========================================= +# optimtouse <- function(Bvec) { +# timetemp <- proc.time()[3] + +# # Use Rcpp optimize_spline function +# returned_data <- optimize_spline( +# BVEC = Bvec, +# X = X, +# Y = y, +# M = M, +# MU = mu, +# LAMBDA = lambda, +# CONST1 = const1, +# CONST2 = const2, +# U = u, +# V = v, +# TAU = tau, +# FTOL = ftol, +# TINY = tiny, +# ITMAX = itmax +# ) + +# if(returned_data$ERRO > 0) { +# cat(" Warning: Error code =", returned_data$ERRO, "\n") +# } + +# aa <- list( +# BestValue = returned_data$LOSS, +# BestSolution = returned_data$BVEC, +# ConvergenceCode = returned_data$ERRO, +# iter1 = returned_data$ITER1, +# iter = returned_data$ITER, +# TimeTaken = proc.time()[3] - timetemp +# ) + +# aa +# } + +# EuclidDist2 <- function(X, Y) { +# n <- nrow(X) +# m <- nrow(Y) +# bx <- rowSums(X^2) +# by <- rowSums(Y^2) +# outer(bx, by, FUN = "+") - 2 * X %*% t(Y) +# } + +# # Variable initialization +# outBestValues <- rep(NA, gamma+1) +# outBestSolutions <- matrix(nrow=2*(u+v), ncol=gamma+1) +# outTimeTaken <- rep(NA, gamma+1) +# BestSolutionsFrequency <- rep(NA, gamma+1) +# BestSolutionsIndices <- rep(NA, gamma+1) + +# # Initial coefficients +# temp <- optimtouse(Bvec) +# outBestValues[1] <- temp$BestValue +# outBestSolutions[,1] <- temp$BestSolution +# outTimeTaken[1] <- temp$TimeTaken +# BestSolutionsFrequency[1] <- 1 +# BestSolutionsIndices[1] <- 1 +# DistinctSolutions <- 1 +# PreviousBestSolution <- NA +# nSameSolutionConsecutively <- 0 + +# # Multi-start optimization +# for (gammacounter in 2:(gamma+1)) { +# if (nSameSolutionConsecutively >= bigsigmaactivate) { +# temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + +# stats::rnorm((u+v)*2, mean=0, sd=bigsigma)) +# } else { +# temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + +# stats::rnorm((u+v)*2, mean=0, sd=smallsigma)) +# } + +# outTimeTaken[gammacounter] <- temp$TimeTaken +# tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution, nrow=1), +# t(outBestSolutions[,1:DistinctSolutions])) + +# if (any(tempSquaredDistances < eps)) { +# BestSolutionsIndices[gammacounter] <- tempAA <- which.min(tempSquaredDistances) +# BestSolutionsFrequency[tempAA] <- BestSolutionsFrequency[tempAA] + 1 +# if (!is.na(PreviousBestSolution) && tempAA == PreviousBestSolution) { +# nSameSolutionConsecutively <- nSameSolutionConsecutively + 1 +# } else { +# PreviousBestSolution <- tempAA +# nSameSolutionConsecutively <- 0 +# } +# } else { +# DistinctSolutions <- DistinctSolutions + 1 +# outBestValues[DistinctSolutions] <- temp$BestValue +# outBestSolutions[,DistinctSolutions] <- temp$BestSolution +# BestSolutionsFrequency[DistinctSolutions] <- 1 +# BestSolutionsIndices[gammacounter] <- DistinctSolutions +# nSameSolutionConsecutively <- 0 +# } +# } +# axis.points <- cbind(M %*% matrix(outBestSolutions[,which.min(outBestValues)], ncol=2), +# mu, 0) + +# for (i in 1:nrow(axis.points)) { +# if (any(zapsmall(axis.points[i,3] - markers) == 0)) { +# axis.points[i, 4] <- 1 +# } +# } + +# axis.points[,3] <- axis.points[,3] * sd[j] + means[j] + +# # Return with attributes +# attr(axis.points, "loss") <- min(outBestValues, na.rm=TRUE) +# attr(axis.points, "bvec") <- outBestSolutions[,which.min(outBestValues)] +# attr(axis.points, "total_time") <- sum(outTimeTaken, na.rm=TRUE) +# attr(axis.points, "distinct_solutions") <- DistinctSolutions + +# axis.points +# } + + + +biplot.spline.axis <- function(j, X, Y, means, sd, + n.int, spline.control, dmeth=0, ... ){ n <- nrow(X) p <- ncol(X) - if (n > 103) { - my.sample <- sample(1:n, size=103, replace=F) - X <- X[my.sample,] - Y <- Y[my.sample,] - n <- nrow(X) - } + if (n > 103){ + my.sample <- sample (1:n, size=103, replace=F) + X <- X[my.sample,] + Y <- Y[my.sample,] + n <- nrow(X) + } tau <- spline.control$tau nmu <- spline.control$nmu @@ -35,46 +211,37 @@ biplot.spline.axis <- function(j, X, Y, means, sd, itmax <- spline.control$itmax ftol <- spline.control$ftol - cat("Calculating spline axis for variable", j) - + cat ("Calculating spline axis for variable", j, "\n") if(dmeth==1) stop("dmeth should be equal to zero or integer greater than 1 \n") - - Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), - center=-1*means, scale=FALSE) + Ytilde <- scale(scale(Y, center=FALSE, scale=1/sd), center=-1*means, scale=FALSE) ytilde <- Ytilde[,j] - mutilde <- seq(from=min(ytilde), to=max(ytilde), length.out=nmu) + mutilde <- seq(from=min(ytilde),to=max(ytilde),length.out=nmu) y <- Y[,j] - rangey <- max(y) - min(y) - mu <- seq(from=min(y)-.3*rangey, to=max(y)+.3*rangey, length.out=nmu) - markers <- (pretty(ytilde) - means[j]) / sd[j] - mu <- sort(c(mu, markers)) + rangey <- max(y)-min(y) + mu <- seq(from=min(y)-.3*rangey,to=max(y)+.3*rangey,length.out=nmu) + markers <- (pretty(ytilde)-means[j])/sd[j] + mu <- sort(c(mu,markers)) mu <- unique(mu) nmu <- length(mu) - if (v > 0) { - knots <- seq.int(from=0, to=1, length.out=v+2)[-c(1, v+2)] - knots <- stats::quantile(y, knots) - M <- splines::bs(mu, knots=knots, degree=u, intercept=FALSE) - } else { - M <- splines::bs(mu, df=u+v, degree=u, intercept=FALSE) - } - - M <- scale(M, scale=FALSE, center=M[which.min(abs(mu)),]) + if (v>0){ + knots <- seq.int(from=0,to=1,length.out=v+2)[-c(1,v+2)] + knots <- stats::quantile(y,knots) + M <- splines::bs(mu,knots=knots,degree=u,intercept=FALSE) + } else M <- splines::bs(mu,df=u+v,degree=u,intercept=FALSE) + M <- scale(M,scale=FALSE,center=M[which.min(abs(mu)),]) # To ensure that the spline passes through the origin at the calibration which represents the mean of the variable Breg <- t(solve(t(X)%*%X)%*%t(X)%*%y) - Zreg <- mu%*%Breg / sum(Breg^2) - Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) + Zreg <- mu%*%Breg/sum(Breg^2) + Bvec <- as.vector(solve(t(M)%*%M)%*%t(M)%*%Zreg) # Closest to regression biplot const1 <- sum(y^2) - const2 <- sum(X^2) / (n*p) - - # ======================================== - #The Fortran call has been replaced by the following Rcpp function - #========================================= + const2 <- sum(X^2)/(n*p) + TotalNumberOfLossFunctionCalls <- 0 optimtouse <- function(Bvec) { timetemp <- proc.time()[3] - - # Use Rcpp optimize_spline function + + # Use Rcpp optimize_spline function returned_data <- optimize_spline( BVEC = Bvec, X = X, @@ -107,8 +274,8 @@ biplot.spline.axis <- function(j, X, Y, means, sd, aa } - - EuclidDist2 <- function(X, Y) { + + EuclidDist2 <- function (X, Y) { n <- nrow(X) m <- nrow(Y) bx <- rowSums(X^2) @@ -116,14 +283,15 @@ biplot.spline.axis <- function(j, X, Y, means, sd, outer(bx, by, FUN = "+") - 2 * X %*% t(Y) } - # Variable initialization - outBestValues <- rep(NA, gamma+1) - outBestSolutions <- matrix(nrow=2*(u+v), ncol=gamma+1) - outTimeTaken <- rep(NA, gamma+1) - BestSolutionsFrequency <- rep(NA, gamma+1) - BestSolutionsIndices <- rep(NA, gamma+1) + ### Variable initialisation + outBestValues <- rep(NA,gamma+1) + outBestSolutions <- matrix(nrow=2*(u+v),ncol=gamma+1) + outTimeTaken <- rep(NA,gamma+1) # Is made one element longer at each iteration. + BestSolutionsFrequency <- rep(NA,gamma+1) + BestSolutionsIndices <- rep(NA,gamma+1) # Is made one element longer at each iteration. + SquaredDistancesBetweenBestSolutions <- matrix(nrow=gamma+1,ncol=gamma+1) - # Initial coefficients + ### Initial coefficients closest to regression biplot temp <- optimtouse(Bvec) outBestValues[1] <- temp$BestValue outBestSolutions[,1] <- temp$BestSolution @@ -133,57 +301,43 @@ biplot.spline.axis <- function(j, X, Y, means, sd, DistinctSolutions <- 1 PreviousBestSolution <- NA nSameSolutionConsecutively <- 0 + BigSigmaActivations <- NULL - # Multi-start optimization - for (gammacounter in 2:(gamma+1)) { - if (nSameSolutionConsecutively >= bigsigmaactivate) { - temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + - stats::rnorm((u+v)*2, mean=0, sd=bigsigma)) - } else { - temp <- optimtouse(outBestSolutions[,which.min(outBestValues)] + - stats::rnorm((u+v)*2, mean=0, sd=smallsigma)) + test.iter <- temp$iter + test.iter1 <- temp$iter1 + + ### Last best coefficients perturbed + for (gammacounter in 2:(gamma+1)){ + if (nSameSolutionConsecutively>=bigsigmaactivate){ + temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=bigsigma)) + BigSigmaActivations <- c(BigSigmaActivations,gammacounter) } - + else temp <- optimtouse(outBestSolutions[,which.min(outBestValues)]+stats::rnorm((u+v)*2,mean=0,sd=smallsigma)) outTimeTaken[gammacounter] <- temp$TimeTaken - tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution, nrow=1), - t(outBestSolutions[,1:DistinctSolutions])) - - if (any(tempSquaredDistances < eps)) { - BestSolutionsIndices[gammacounter] <- tempAA <- which.min(tempSquaredDistances) - BestSolutionsFrequency[tempAA] <- BestSolutionsFrequency[tempAA] + 1 - if (!is.na(PreviousBestSolution) && tempAA == PreviousBestSolution) { - nSameSolutionConsecutively <- nSameSolutionConsecutively + 1 - } else { + tempSquaredDistances <- EuclidDist2(matrix(temp$BestSolution,nrow=1),t(outBestSolutions[,1:DistinctSolutions])) + if (any(tempSquaredDistances Date: Wed, 21 Jan 2026 18:50:55 +0200 Subject: [PATCH 15/15] I fixed all the randomness in this code (using seed), so you should see a similar result for Rcpp and Fortran. --- tests/temp/compare_Rcpp_FORTRAN.R | 65 +------------------------------ 1 file changed, 2 insertions(+), 63 deletions(-) diff --git a/tests/temp/compare_Rcpp_FORTRAN.R b/tests/temp/compare_Rcpp_FORTRAN.R index 57e6f73..c384eb1 100644 --- a/tests/temp/compare_Rcpp_FORTRAN.R +++ b/tests/temp/compare_Rcpp_FORTRAN.R @@ -19,8 +19,6 @@ biplot.spline.axis <- function(j, X, Y, means, sd, n.int, base_seed = NULL, # NEW PARAMETER sampling_seed = NULL, # NEW: separate seed for sampling ...) { - - n <- nrow(X) p <- ncol(X) @@ -298,9 +296,6 @@ v <- 0 # Test Bvec Bvec_test <- rnorm((u+v)*p) -cat("========================================\n") -cat("EXAMPLE 1: LOSS FUNCTION CALCULATION\n") -cat("========================================\n\n") loss_value <- alfunc(Bvec_test, X, y, M, mu, lambda, const1, const2, u, v) cat("Test Bvec:", round(Bvec_test, 4), "\n") @@ -310,10 +305,8 @@ cat("Loss value:", loss_value, "\n\n") # EXAMPLE 2: COMPARE RCPP VS FORTRAN # ======================================== -cat("========================================\n") -cat("EXAMPLE 2: RCPP VS FORTRAN COMPARISON\n") -cat("WITH FIXED SEED FOR REPRODUCIBILITY\n") -cat("========================================\n\n") + +# WITH FIXED SEED FOR REPRODUCIBILITY COMPARISON_SEED <- 999 # Use same seed for both methods SAMPLING_SEED <- 777 # NEW: Separate seed for data sampling @@ -371,57 +364,3 @@ bvec_fortran <- attr(result_fortran, "bvec") cat(" Rcpp: ", round(bvec_rcpp, 6), "\n") cat(" FORTRAN: ", round(bvec_fortran, 6), "\n") cat("\n") - -cat("DIFFERENCES:\n") -loss_diff <- abs(loss_rcpp - loss_fortran) -bvec_diff <- sqrt(sum((bvec_rcpp - bvec_fortran)^2)) - -cat(sprintf(" %-25s: %.15f\n", "Loss difference", loss_diff)) -cat(sprintf(" %-25s: %.15f\n", "Bvec L2 distance", bvec_diff)) -cat("\n") - -# Check if results are practically identical -if (loss_diff < 1e-8 && bvec_diff < 1e-8) { - cat("✓ Results are essentially IDENTICAL!\n\n") -} else if (loss_diff < 1e-6 && bvec_diff < 1e-6) { - cat("✓ Results are very close (within numerical precision)\n\n") -} else { - cat("✗ Results differ significantly - investigation needed\n\n") -} - -# ======================================== -# EXAMPLE 3: TEST REPEATABILITY -# ======================================== - -cat("========================================\n") -cat("EXAMPLE 3: REPEATABILITY TEST\n") -cat("========================================\n\n") - -cat("Running Rcpp twice with same seed:\n") -result_rcpp_1 <- biplot.spline.axis( - j = 1, X = X, Y = Y, means = means, sd = sd, - n.int = NULL, spline.control = spline.control, - dmeth = 0, optim_method = "rcpp", - fix_seed = TRUE, base_seed = 777, - sampling_seed = 888 # Add sampling seed -) - -result_rcpp_2 <- biplot.spline.axis( - j = 1, X = X, Y = Y, means = means, sd = sd, - n.int = NULL, spline.control = spline.control, - dmeth = 0, optim_method = "rcpp", - fix_seed = TRUE, base_seed = 777, - sampling_seed = 888 # Same sampling seed -) - -loss_diff <- abs(attr(result_rcpp_1, "loss") - attr(result_rcpp_2, "loss")) -bvec_diff <- sqrt(sum((attr(result_rcpp_1, "bvec") - attr(result_rcpp_2, "bvec"))^2)) - -cat(sprintf(" Loss difference: %.15f\n", loss_diff)) -cat(sprintf(" Bvec difference: %.15f\n", bvec_diff)) - -if (loss_diff < 1e-10 && bvec_diff < 1e-10) { - cat(" ✓ Results are identical!\n") -} else { - cat(" ✗ Results differ (possible numerical precision issues)\n") -} \ No newline at end of file

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