From 2a65e98eefe1d38952b1a26e0d10401661a29e19 Mon Sep 17 00:00:00 2001
From: hgb <hjorleifur.bergsteinsson@danfoss.com>
Date: Mon, 17 Mar 2025 13:54:04 +0100
Subject: [PATCH] update small fixes all over

---
 .gitignore                                   |   4 +-
 R/qmodel.R                                   | 102 +++++-----
 R/quantile_fit.R                             |  26 +--
 R/quantile_optim.R                           |   2 +-
 R/quantile_predict.R                         |  14 +-
 R/update_rq.R                                |  15 +-
 misc-R/quantile/adaptive_quantile.R          | 185 +++++++++++++++++++
 misc-R/quantile/css/reset.css                |  53 ++++++
 misc-R/quantile/css/scianimator.blue.css     |  44 +++++
 misc-R/quantile/css/scianimator.css          | 108 +++++++++++
 misc-R/quantile/css/scianimator.dark.css     |  44 +++++
 misc-R/quantile/css/scianimator.light.css    |  44 +++++
 misc-R/quantile/css/styles.css               |   3 +
 misc-R/quantile/js/Rplot.js                  |  13 ++
 misc-R/quantile/js/jquery-1.4.4.min.js       | 167 +++++++++++++++++
 misc-R/quantile/js/jquery.scianimator.min.js |   8 +
 misc-R/quantile/model.html                   |  91 +++++++++
 misc-R/quantile/quantile_Solar.R             | 117 ++++++++++--
 misc-R/quantile/rls.R                        |  50 +++++
 src/rq_init_cpp.cpp                          |   2 +-
 src/rq_simplex_cpp.cpp                       |  17 +-
 src/rq_update_cpp.cpp                        |   5 +-
 22 files changed, 1025 insertions(+), 89 deletions(-)
 create mode 100644 misc-R/quantile/adaptive_quantile.R
 create mode 100755 misc-R/quantile/css/reset.css
 create mode 100755 misc-R/quantile/css/scianimator.blue.css
 create mode 100755 misc-R/quantile/css/scianimator.css
 create mode 100755 misc-R/quantile/css/scianimator.dark.css
 create mode 100755 misc-R/quantile/css/scianimator.light.css
 create mode 100755 misc-R/quantile/css/styles.css
 create mode 100644 misc-R/quantile/js/Rplot.js
 create mode 100755 misc-R/quantile/js/jquery-1.4.4.min.js
 create mode 100755 misc-R/quantile/js/jquery.scianimator.min.js
 create mode 100644 misc-R/quantile/model.html
 create mode 100644 misc-R/quantile/rls.R

diff --git a/.gitignore b/.gitignore
index 27fe0b9..6f5aa56 100644
--- a/.gitignore
+++ b/.gitignore
@@ -19,4 +19,6 @@ vignettes/*_files*
 
 tmp/
 
-onlineforecast.Rcheck
\ No newline at end of file
+onlineforecast.Rcheck
+
+images/
\ No newline at end of file
diff --git a/R/qmodel.R b/R/qmodel.R
index 818ab9b..9eb8de6 100644
--- a/R/qmodel.R
+++ b/R/qmodel.R
@@ -1,51 +1,57 @@
 qmodel <- R6::R6Class("qmodel", public = list(
-      ####### Store Data and information for algorithm #####
-      info = list(),
-      ####### Store Coefficients Data #######
-      beta = list(),
-      ####### Fixed Parameters ######
-      ## Weighted
-      W = NA,
-      n_in_bin = NA,
-      ## Number of predictiors
-      K = NA,
-      ## Quantiles
-      tau = NA,
-      ## Cold start size
-      N1 = NA,
-      debug = NA,
-
-      ####### Quantile Information ########
-      ## Index of the columns of the X matrix of Xny
-      IX = NA,
-      ## Index of the column of y
-      Iy = NA,
-      ## The design matrix
-      X = list(), 
-
-      ####### debug Information ########
-      listIH = list(),
-
-      ####### Forecast Information ########
-      inputs = list(),
-      kseq = NA,
-      output = NA,
-      prm = NA,
-      regprmexpr = NA,
-      regprm = NA,
-      ## Offline parameters
-      prmbounds = as.matrix(data.frame(lower=NA, init =NA, upper=NA)),
-      datatr = NA,
-      qrFIT = NA,
-      maxlagAR = NA,
-      yAR = NA,
-      Ypred = NA,
-
-      initialize = function(N1 = NULL, debug = FALSE){
-          if(is.null(N1)) stop("The number of data points for the cold start needs to be defined")
-          self$N1 <- N1
-          self$debug <-  debug
-      },
+    ####### Store Data and information for algorithm #####
+    info = list(),
+    ####### Store Coefficients Data #######
+    beta = list(),
+    ####### Fixed Parameters ######
+    ## Weighted
+    W = NA,
+    n_in_bin = NA,
+    ## Number of predictiors
+    K = NA,
+    ## Quantiles
+    tau = NA,
+    ## Cold start size
+    N1 = NA,
+    debug = NA,
+
+    ####### Quantile Information ########
+    ## Index of the columns of the X matrix of Xny
+    IX = NA,
+    ## Index of the column of y
+    Iy = NA,
+    ## The design matrix
+    X = list(), 
+
+    ####### debug Information ########
+    listIH = list(),
+
+    ####### Forecast Information ########
+    inputs = list(),
+    kseq = NA,
+    output = NA,
+    prm = NA,
+    regprmexpr = NA,
+    regprm = NA,
+    ## Offline parameters
+    prmbounds = as.matrix(data.frame(lower=NA, init =NA, upper=NA)),
+    datatr = NA,
+    qrFIT = NA,
+    maxlagAR = NA,
+    yAR = NA,
+    Ypred = NA,
+
+
+    ## Initialise the model with the size of the cold start.
+    ## We need some starting point for the iteration of the quantile fit, using simplex method.
+    initialize = function(N1 = NULL, debug = FALSE){
+        if(is.null(N1)) stop("The number of data points for the cold start needs to be defined")
+        self$N1 <- N1
+        self$debug <-  debug
+    },
+
+
+### Should be the same to forecastmodel.R.. maybe have an inheritance from that instead of rewrite.
 
 #----------------------------------------------------------------
     # Get the transformation parameters
@@ -241,6 +247,4 @@ qmodel <- R6::R6Class("qmodel", public = list(
         return(expr)
     }
     #----------------------------------------------------------------
-
-
 ))
diff --git a/R/quantile_fit.R b/R/quantile_fit.R
index 1bb5432..50457ad 100644
--- a/R/quantile_fit.R
+++ b/R/quantile_fit.R
@@ -20,9 +20,11 @@ quantile_fit <- function(prm, model, q, data, printout = TRUE, returnanalysis =
     # First insert the prm into the model input expressions
     model$insert_prm(prm)
 
-    model$n_in_bin <- round(2*(1/(1-model$regprm$lambda)))
 
-    ## Annoying!
+    ## Compute the effective memory of lambda, the window size
+    model$n_in_bin <- round(2*(1/(1-model$regprm$lambda)))
+    ## If the effective memory is less then the cold start window, then set it to the cold start window.
+    ## HGB 11/02/2025: Unsure if this is correct
     if(model$n_in_bin < model$N1){
         model$n_in_bin = model$N1 + 1
     }
@@ -32,6 +34,7 @@ quantile_fit <- function(prm, model, q, data, printout = TRUE, returnanalysis =
     # Since rls_fit is run from scratch, the init the stored inputs data (only needed when running iteratively)
     #model$datatr <- NA
     #model$yAR <- NA
+
     # Reset the model state (e.g. inputs state, stored iterative data, ...)
     model$reset_state()
 
@@ -49,20 +52,21 @@ quantile_fit <- function(prm, model, q, data, printout = TRUE, returnanalysis =
     Ypred <- NULL
 
     for(k in model$kseq){
-        cat("horizon :", k, "\n")
-        cat("n_in_bin :", model$n_in_bin, "\n")
+        # cat("horizon :", k, "\n")
+        # cat("n_in_bin :", model$n_in_bin, "\n")
         ## Setup the design matrix for k step
         X <- as.data.frame(subset(model$datatr, kseq=k))
-        ## Lag them to match to the 
+        ## Lag them to match to the output, so the input forecast matches the output.
         X <- onlineforecast:::lagdf.matrix(X, k)
         X$y <- data[[model$output]]
         
-        X <- X[-1:-k,]
+        if (k > 0) {
+            X <- X[-(1:k), ]
+        }
         fit <- rq(paste("y ~ -1 + ", paste(names(X[, -which(names(X) %in% c("y"))]),  collapse =  " + "), sep = ""), tau = q, data = X[1:(model$N1-k),])
-            
-            
-
-            beta <- as.matrix(fit$coefficients)
+            ## Fill it from start (index 1) to the end of the cold start
+            beta <- fit$coefficients
+            model$beta[[paste0("q", q)]][[paste0("k", k)]] <- matrix(beta, nrow = model$N1, ncol = model$K, byrow = T)
             
             r <- as.matrix(fit$residuals, ncol = length(q))
             for(i in 1:dim(r)[2]){
@@ -86,7 +90,7 @@ quantile_fit <- function(prm, model, q, data, printout = TRUE, returnanalysis =
     ## Compute the loss function, maybe the residuals are compute in different place
     loss <- sapply(model$kseq, function(i)  pinball_loss(r = model$info[[paste0("q", q)]][[paste0("k", i)]]$R[data$scoreperiod[(i+1):length(data$scoreperiod)]], q))
     model$Ypred <- Ypred
-
+    
     if(!returnanalysis){
         #Yhat <- quantile_prediction(model = model, multistep = model$kseq)
         cat("Quantile, tau:", q, "\n")
diff --git a/R/quantile_optim.R b/R/quantile_optim.R
index 808de19..068cdf2 100644
--- a/R/quantile_optim.R
+++ b/R/quantile_optim.R
@@ -25,7 +25,7 @@ quantile_optim <- function(model, data){
                       # Parameters to pass to quantile_fit
                       model = model,
                       q = model$tau[i],
-                      data = Dnew,
+                      data = data,
                       returnanalysis = FALSE,
                       # Parameters to pass to optim
                       lower = lower,
diff --git a/R/quantile_predict.R b/R/quantile_predict.R
index 48c77ec..1db5eff 100644
--- a/R/quantile_predict.R
+++ b/R/quantile_predict.R
@@ -13,17 +13,11 @@ quantile_predict <- function(model, datatr){
             ## Setup the design matrix for k step
             X <- as.data.frame(subset(datatr, kseq=k))
             ## Lag them to match to the 
-            #X <- onlineforecast:::lagdf.matrix(X, k)
+            X <- onlineforecast:::lagdf.matrix(X, k)
             yhat <- as.numeric(rep(NA, nrow(X)))
- 
-            for(i in ((k):nrow(X))){
-                if(i <= (model$N1)) {
-                    j <- 1
-                } else{
-                    j <- i - model$N1
-                }
-                #browser()
-                yhat[i] <- t(as.numeric(X[i,])) %*% model$beta[[paste0("q",q)]][[paste0("k",k)]][j,]
+            
+            for(i in ((1):nrow(X))){
+                yhat[i] <- t(as.numeric(X[i,])) %*% model$beta[[paste0("q",q)]][[paste0("k",k)]][i,]
             }
 
             return(yhat)
diff --git a/R/update_rq.R b/R/update_rq.R
index d8e09de..dd6a9aa 100644
--- a/R/update_rq.R
+++ b/R/update_rq.R
@@ -25,7 +25,7 @@ update_rq <- function(Xny, tau, k,  model = NULL, debug = TRUE){
     Ypred <- matrix(as.numeric(NA), nrow = N, ncol = 1)
 
     if(debug) {
-    	print("yeah")
+    	# print("yeah")
     	list_idx <- matrix(as.numeric(NA), nrow = 1, ncol = length(res$Ih)+1)
     	list_idx[1,] <- c(0,res$Ih)
     }
@@ -71,6 +71,19 @@ update_rq <- function(Xny, tau, k,  model = NULL, debug = TRUE){
     		list_idx <- rbind(list_idx, c(counter, res$Ih))
     	}
 
+        # if(FALSE){
+        #     invXh <- solve(Xold[res$Ih, 1:model$K])
+        #     cB <- as.numeric(res$P < 0) + res$P * tau
+        #     cC <- c(rep(tau, model$K), rep(1 - tau, model$K))
+        #     #IB2 <- -(t(res$P %*% t(rep(1, model$K))) %*% Xold[res$Ihc+1, 1:model$K]) %*% invXh
+        #     g <- t(IB2) %*% cB
+        #     d <- cC - c(g, -g)
+        #     d[abs(d) < 1e-15] <- 0
+
+        #     s <- order(d)
+        #     md <- sort(d)
+        # }
+
 
         resAlg <- rq_simplex_cpp(X = Xold[,1:model$K],
                                  Ih =  res$Ih,
diff --git a/misc-R/quantile/adaptive_quantile.R b/misc-R/quantile/adaptive_quantile.R
new file mode 100644
index 0000000..c48902b
--- /dev/null
+++ b/misc-R/quantile/adaptive_quantile.R
@@ -0,0 +1,185 @@
+#----------------------------------------------------------------
+# Init by deleting all variables and functions
+rm(list=ls())
+# Set the working directory
+setwd("/home/hgb/git/onlineforecast/misc-R/quantile/")
+#----------------------------------------------------------------
+
+
+#----------------------------------------------------------------
+# Exercise on RLS
+
+# Init
+rm(list = ls())
+sapply(dir("functions",full.names=TRUE), source)
+
+
+# A function for fitting a recursive least squares estimation
+source("rls.R")
+rls
+#----------------------------------------------------------------
+
+
+#----------------------------------------------------------------
+# Generate some data from a linear model
+n <- 200
+x <- runif(n)
+beta0 <- 2
+beta1 <- -3
+y <- beta0 + beta1 * x + rnorm(n, sd=0.1)
+
+# Estimate the coefficients
+fit <- lm(y ~ x)
+plot(x, y)
+abline(fit)
+fit
+
+# Generate again with other coefficient values
+x1 <- runif(n)
+beta0 <- -2
+beta1 <- 3
+y1 <- beta0 + beta1 * x1 + rnorm(n, sd=0.1)
+
+# Estimate again
+fit1 <- lm(y1 ~ x1)
+plot(x1, y1)
+abline(fit1)
+fit
+
+# Combine them as two "periods",
+# such that at the start of the the second part, at i=201, the 
+# coefficients change and have different values
+X <- data.frame(y=c(y,y1), x=c(x,x1))
+
+# See clearly there is two "regimes"
+plot(X$x, X$y)
+
+# As a time series you only see the change in mean
+plot(X$y)
+
+# Fit a linear regression on the combined data
+lm(y ~ x, X)
+#----------------------------------------------------------------
+
+
+#----------------------------------------------------------------
+# Fit a recursive least squares (linear regression) on the combined data
+val <- rls(y ~ x, lambda = 0.97, data = X, k = 1)
+
+# Plot the tracked coefficients
+colnames(val$Theta) <- c("beta0","beta1")
+plot.ts(val$Theta)
+
+
+plot.ts(val$y)
+lines(val$y - val$residuals, col ="red")
+#----------------------------------------------------------------
+
+setwd("/home/hgb/git/onlineforecast/")
+library(devtools)
+library(splines)
+library(quantreg)
+load_all(".") # need to be under the package directory
+
+## create an fcst matrix of the input data
+createFCSTmatrix <- function(vec, kHor) {
+  # Create a matrix of the temperature measurements
+  # vec: vector of temperature measurements
+  # kHor: horizon of the forecast
+  # Return: matrix of the temperature measurements
+  N <- length(vec)
+  M <- length(kHor)
+  mat <- matrix(NA, nrow = N, ncol = M)
+  for (i in 1:(N - M)) {
+    mat[i, ] <- vec[i:(i + M - 1)]
+  }
+  colnames(mat) <- paste0("k", kHor)
+  return(mat)
+}
+
+inputX <- createFCSTmatrix(X$x, kHor = 0:24)
+
+D <- list()
+D$t <- seq_along(X$x)
+D$x <- inputX
+D$y <- X$y
+
+## subset the data, as the algorithm does not handle NA! I had forgotten that.
+## it is due to the calculation for the simplex, which is not defined for NA
+#class(D) <- "data.list"
+idx <-  in_range(1,D$t,350)
+Dtrain <- list()
+Dtrain$t <- D$t[idx]
+Dtrain$x <- inputX[idx,]
+Dtrain$y <- X$y[idx]
+
+## needs to have scoreperiod, for computing the loss
+Dtrain$scoreperiod <- in_range(1,D$t,300)
+
+class(Dtrain) <- "data.list"
+
+str(Dtrain)
+
+## Create the model, where N1 is the initial number of data points - for the cold start
+model <- qmodel$new(N1 = 30)
+## The output is the y
+model$output = "y"
+## The design matrix, intercept and the x
+model$add_inputs(Xinput = "x",
+                mu = "one()")
+
+## Add the regularization parameter, lambda, and the bounds
+model$add_regprm("rls_prm(lambda=0.9)")
+
+# model$add_prmbounds(lambda = c(0.99, 0.999, 0.9999))
+
+### Setup of the booking keeping matrix - 
+##############################################################
+####### THIS SHOULD BE DONE IN quantile_fit.R ################
+##############################################################
+## First 2 are the intercept and the x
+model$IX <- 0:1
+## The number of predictors, we could just use the length of the input matrix or the IX
+model$K <- 2
+## The output column is the 2nd one
+model$Iy <- 2
+
+## Select which quantiles we want to optimise and fit
+model$tau <- c(0.05,0.2, 0.5, 0.8,0.95)
+## Select which prediction horizon
+model$kseq <- 0:24
+
+#opt_model <- quantile_optim(model = model, data = Dtrain)
+
+PAR <- c("lambda" = 0.999)
+quantile_fit(prm = PAR, model = model, data = Dtrain, q = model$tau[1])
+PAR <- c("lambda" = 0.999)
+quantile_fit(prm = PAR, model = model, data = Dtrain, q = model$tau[2])
+PAR <- c("lambda" = 0.97)
+quantile_fit(prm = PAR, model = model, data = Dtrain, q = model$tau[3])
+PAR <- c("lambda" = 0.999)
+quantile_fit(prm = PAR, model = model, data = Dtrain, q = model$tau[4])
+PAR <- c("lambda" = 0.999)
+quantile_fit(prm = PAR, model = model, data = Dtrain, q = model$tau[5])
+
+## compute the predictions from the input data and the estimated coefficeints.
+Pred_model <- quantile_predict(model = model, datatr = model$datatr)
+
+
+par(mfrow = c(2,1))
+
+plot(1:length(Dtrain$y), rep(NA, length(Dtrain$y)), type = "l", ylim = range(Dtrain$y))
+polygon(c(1:length(Pred_model$q0.05[,"k1"]), rev(1:length(Pred_model$q0.95[,"k1"]))), c(Pred_model$q0.05[,"k1"], rev(Pred_model$q0.95[,"k1"])), col = "grey80", border = NA)
+
+
+lines(Dtrain$y, col = "black")
+lines(Pred_model$q0.5[,"k1"], type = "l", col = "red")
+
+lines(val$y - val$residuals, col ="blue")
+legend("bottomleft", legend = c("y", "RLS pred", "Quantile Pred"), col = c("black", "blue", "red"), lty = 1, ncol = 3, bty = "n", cex = 1.4)
+
+plot(val$Theta[,"beta0"], type = "l", col = "blue", ylim = range(val$Theta, na.rm = TRUE))
+lines(model$beta$q0.5$k1[,2], lty = 1, col = "red")
+lines(val$Theta[,"beta1"], type = "l", lty = 2, col = "blue")
+lines(model$beta$q0.5$k1[,1], type = "l", lty = 2, col = "red")
+legend(x = 50, y = 0, legend = c("RLS Intercept", "RLS Slope", "Quantile Intercept", "Quantile Slope"), col = c("blue", "blue", "red", "red"), lty = c(1,2,1,2), ncol = 2, bty = "n", cex = 1.4)
diff --git a/misc-R/quantile/css/reset.css b/misc-R/quantile/css/reset.css
new file mode 100755
index 0000000..1c85489
--- /dev/null
+++ b/misc-R/quantile/css/reset.css
@@ -0,0 +1,53 @@
+/* http://meyerweb.com/eric/tools/css/reset/ */
+/* v1.0 | 20080212 */
+
+html, body, div, span, applet, object, iframe,
+h1, h2, h3, h4, h5, h6, p, blockquote, pre,
+a, abbr, acronym, address, big, cite, code,
+del, dfn, em, font, img, ins, kbd, q, s, samp,
+small, strike, strong, sub, sup, tt, var,
+b, u, i, center,
+dl, dt, dd, ol, ul, li,
+fieldset, form, label, legend,
+table, caption, tbody, tfoot, thead, tr, th, td {
+	margin: 0;
+	padding: 0;
+	border: 0;
+	outline: 0;
+	font-size: 100%;
+	vertical-align: baseline;
+	background: transparent;
+}
+body {
+	line-height: 1;
+}
+ol, ul {
+	list-style: none;
+}
+blockquote, q {
+	quotes: none;
+}
+blockquote:before, blockquote:after,
+q:before, q:after {
+	content: '';
+	content: none;
+}
+
+/* remember to define focus styles! */
+:focus {
+	outline: 0;
+}
+
+/* remember to highlight inserts somehow! */
+ins {
+	text-decoration: none;
+}
+del {
+	text-decoration: line-through;
+}
+
+/* tables still need 'cellspacing="0"' in the markup */
+table {
+	border-collapse: collapse;
+	border-spacing: 0;
+}
diff --git a/misc-R/quantile/css/scianimator.blue.css b/misc-R/quantile/css/scianimator.blue.css
new file mode 100755
index 0000000..7c5e725
--- /dev/null
+++ b/misc-R/quantile/css/scianimator.blue.css
@@ -0,0 +1,44 @@
+/**
+ * SciAnimator - Scientific Image Animator Plugin for jQuery
+ *
+ * Copyright (c) 2010 Brent Ertz
+ * Released under the MIT license.
+ * http://github.com/brentertz/scianimator
+*/
+
+/* Blue theme */
+.scianimator.blue,
+.scianimator.blue a,
+.scianimator.blue a:visited {
+	color: #3985a8;
+}
+.scianimator.blue {
+	background: #ddeef6;
+}
+.scianimator.blue .controls,
+.scianimator.blue .control {
+	background-color: #ddeef6;
+	border: 1px solid #89bad2;
+	color: #3985a8;
+	text-shadow: 0 1px #fff;	
+}
+.scianimator.blue .controls {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -17px #cbe6f2, 0 0 3px #89bad2;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #cbe6f2, 0 0 3px #89bad2;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #cbe6f2, 0 0 3px #89bad2;
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #cbe6f2, 0 0 3px #89bad2;
+}
+.scianimator.blue .control {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #89bad2;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #89bad2;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #89bad2;
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #89bad2;
+}
+.scianimator.blue a:hover {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #3985a8;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #3985a8;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #3985a8;	
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #cbe6f2, 0 0 3px #3985a8;
+	color: #fff;
+	text-shadow: 0px 1px #3985a8;	
+}
\ No newline at end of file
diff --git a/misc-R/quantile/css/scianimator.css b/misc-R/quantile/css/scianimator.css
new file mode 100755
index 0000000..3138aac
--- /dev/null
+++ b/misc-R/quantile/css/scianimator.css
@@ -0,0 +1,108 @@
+/**
+ * SciAnimator - Scientific Image Animator Plugin for jQuery
+ *
+ * Copyright (c) 2010 Brent Ertz
+ * Released under the MIT license.
+ * http://github.com/brentertz/scianimator
+*/
+
+/* Comment out @imports for themes not in use */
+@import url('scianimator.light.css');
+@import url('scianimator.dark.css');
+@import url('scianimator.blue.css');
+
+.scianimator {
+	font-family: 'Lucida Grande', sans-serif;
+	font-size: 12px;
+	text-align: center;
+	margin: auto auto 1em auto;
+	position: relative;
+}
+.scianimator .controls,
+.scianimator .control {
+	border: 1px solid;
+	border-radius: 4px;
+	-moz-border-radius: 4px;
+	font-family: 'Lucida Grande', sans-serif;
+	font-size: 10px;
+	text-shadow: 0 1px #fff;	
+	margin: 2px;
+	position: relative;
+}
+.scianimator .controls {
+	margin: 0;
+	padding: 4px;
+	position: relative;
+}
+.scianimator a,
+.scianimator a:visited {
+	cursor: pointer;
+	display: inline-block;
+	padding: 5px 10px;
+	text-decoration: none;
+}
+.scianimator a.small,
+.scianimator a:visited.small {
+	padding: 1px 2px;
+}
+.scianimator a:active {
+	top: 1px;
+}
+.scianimator select.control,
+.scianimator label {
+	margin: 1px;
+	vertical-align: middle;
+}
+.scianimator .control.box {
+	padding: 1px 5px;
+	display: inline-block;
+	vertical-align: top;
+}
+.scianimator .control.box .control {
+	margin-left: 0;
+	margin-right: 0;
+}
+
+.scianimator .box.control.navigator {
+	padding: 2px;
+}
+
+.scianimator .box a.control.navigator,
+.scianimator .box a:hover.control.navigator {
+	display: inline-block;
+	height: 10px;
+	margin: 2px;
+	padding: 0;
+	width: 10px;
+	
+	background: #00FF00;
+	box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px #00FF00;
+	-o-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px #00FF00;
+	-webkit-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px #00FF00;	
+	-moz-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px #00FF00;	
+}
+.scianimator .box a.navigator.disabled,
+.scianimator .box a:hover.navigator.disabled {
+	background: red;
+	box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px red;
+	-o-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px red;
+	-webkit-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px red;	
+	-moz-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px red;
+}
+.scianimator .box a.navigator.current,
+.scianimator .box a:hover.navigator.current {
+	background: blue;
+	box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px blue;
+	-o-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px blue;
+	-webkit-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px blue;	
+	-moz-box-shadow: 0 0 3px 1px #666666 inset, 0 0 1px blue;
+}
+
+.scianimator .status {
+	background: red;
+	color: #fff;
+	right: 0;
+	padding: 5px;
+	position: absolute;
+	top: 0;
+}
\ No newline at end of file
diff --git a/misc-R/quantile/css/scianimator.dark.css b/misc-R/quantile/css/scianimator.dark.css
new file mode 100755
index 0000000..cee3628
--- /dev/null
+++ b/misc-R/quantile/css/scianimator.dark.css
@@ -0,0 +1,44 @@
+/**
+ * SciAnimator - Scientific Image Animator Plugin for jQuery
+ *
+ * Copyright (c) 2010 Brent Ertz
+ * Released under the MIT license.
+ * http://github.com/brentertz/scianimator
+*/
+
+/* Dark theme */
+.scianimator.dark,
+.scianimator.dark a,
+.scianimator.dark a:visited {
+	color: #ccc;
+}
+.scianimator.dark {
+	background: #333;
+}
+.scianimator.dark .controls,
+.scianimator.dark .control {
+	background-color: #333;
+	border-color: #666;
+	color: #ccc;
+	text-shadow: 0 1px #000;	
+}
+.scianimator.dark .controls {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -17px #000, 0 0 3px #000;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #000, 0 0 3px #000;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #000, 0 0 3px #000;
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #000, 0 0 3px #000;
+}
+.scianimator.dark .control {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -10px #000, 0 0 3px #000;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #000, 0 0 3px #000;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #000, 0 0 3px #000;
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #000, 0 0 3px #000;
+}
+.scianimator.dark a:hover {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -10px #000, 0 0 3px #555;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #000, 0 0 3px #555;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #000, 0 0 3px #555;	
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #333, 0 0 3px #555;
+	color: #fff;
+	text-shadow: 0px 1px #000;	
+}
\ No newline at end of file
diff --git a/misc-R/quantile/css/scianimator.light.css b/misc-R/quantile/css/scianimator.light.css
new file mode 100755
index 0000000..c0298bf
--- /dev/null
+++ b/misc-R/quantile/css/scianimator.light.css
@@ -0,0 +1,44 @@
+/**
+ * SciAnimator - Scientific Image Animator Plugin for jQuery
+ *
+ * Copyright (c) 2010 Brent Ertz
+ * Released under the MIT license.
+ * http://github.com/brentertz/scianimator
+*/
+
+/* Light theme */
+.scianimator.light,
+.scianimator.light a,
+.scianimator.light a:visited {
+	color: #555;
+}
+.scianimator.light {
+	background: #ddd;
+}
+.scianimator.light .controls,
+.scianimator.light .control {
+	background-color: #ddd;
+	border-color: #999;
+	color: #555; 
+	text-shadow: 0 1px #fff;	
+}
+.scianimator.light .controls {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -17px #ccc, 0 0 3px #999;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #ccc, 0 0 3px #999;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #ccc, 0 0 3px #999;
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -17px #ccc, 0 0 3px #999;
+}
+.scianimator.light .control {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #999;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #999;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #999;
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #999;
+}
+.scianimator.light a:hover {
+	box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #555;
+	-o-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #555;
+	-webkit-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #555;	
+	-moz-box-shadow: inset 0 1px 3px #fff, inset 0 -10px #ccc, 0 0 3px #555;
+	color: #fff;
+	text-shadow: 0px 1px #555;	
+}
\ No newline at end of file
diff --git a/misc-R/quantile/css/styles.css b/misc-R/quantile/css/styles.css
new file mode 100755
index 0000000..8887991
--- /dev/null
+++ b/misc-R/quantile/css/styles.css
@@ -0,0 +1,3 @@
+body {
+	margin: 20px;
+}
\ No newline at end of file
diff --git a/misc-R/quantile/js/Rplot.js b/misc-R/quantile/js/Rplot.js
new file mode 100644
index 0000000..dbed5f1
--- /dev/null
+++ b/misc-R/quantile/js/Rplot.js
@@ -0,0 +1,13 @@
+(function($) {
+    $(document).ready(function() {
+	
+	$('#Rplot').scianimator({
+	    'images': ['images/Rplot1.png', 'images/Rplot2.png', 'images/Rplot3.png', 'images/Rplot4.png', 'images/Rplot5.png', 'images/Rplot6.png', 'images/Rplot7.png', 'images/Rplot8.png', 'images/Rplot9.png', 'images/Rplot10.png', 'images/Rplot11.png', 'images/Rplot12.png', 'images/Rplot13.png', 'images/Rplot14.png', 'images/Rplot15.png', 'images/Rplot16.png', 'images/Rplot17.png', 'images/Rplot18.png', 'images/Rplot19.png', 'images/Rplot20.png', 'images/Rplot21.png', 'images/Rplot22.png', 'images/Rplot23.png', 'images/Rplot24.png', 'images/Rplot25.png', 'images/Rplot26.png', 'images/Rplot27.png', 'images/Rplot28.png', 'images/Rplot29.png', 'images/Rplot30.png', 'images/Rplot31.png', 'images/Rplot32.png', 'images/Rplot33.png', 'images/Rplot34.png', 'images/Rplot35.png', 'images/Rplot36.png', 'images/Rplot37.png', 'images/Rplot38.png', 'images/Rplot39.png', 'images/Rplot40.png', 'images/Rplot41.png', 'images/Rplot42.png', 'images/Rplot43.png', 'images/Rplot44.png', 'images/Rplot45.png', 'images/Rplot46.png', 'images/Rplot47.png', 'images/Rplot48.png', 'images/Rplot49.png', 'images/Rplot50.png', 'images/Rplot51.png', 'images/Rplot52.png', 'images/Rplot53.png', 'images/Rplot54.png', 'images/Rplot55.png', 'images/Rplot56.png', 'images/Rplot57.png', 'images/Rplot58.png', 'images/Rplot59.png', 'images/Rplot60.png', 'images/Rplot61.png', 'images/Rplot62.png', 'images/Rplot63.png', 'images/Rplot64.png', 'images/Rplot65.png', 'images/Rplot66.png', 'images/Rplot67.png', 'images/Rplot68.png', 'images/Rplot69.png', 'images/Rplot70.png', 'images/Rplot71.png', 'images/Rplot72.png', 'images/Rplot73.png', 'images/Rplot74.png', 'images/Rplot75.png', 'images/Rplot76.png', 'images/Rplot77.png', 'images/Rplot78.png', 'images/Rplot79.png', 'images/Rplot80.png', 'images/Rplot81.png', 'images/Rplot82.png', 'images/Rplot83.png', 'images/Rplot84.png', 'images/Rplot85.png', 'images/Rplot86.png', 'images/Rplot87.png', 'images/Rplot88.png', 'images/Rplot89.png', 'images/Rplot90.png', 'images/Rplot91.png', 'images/Rplot92.png', 'images/Rplot93.png', 'images/Rplot94.png', 'images/Rplot95.png', 'images/Rplot96.png', 'images/Rplot97.png', 'images/Rplot98.png', 'images/Rplot99.png', 'images/Rplot100.png', 'images/Rplot101.png', 'images/Rplot102.png', 'images/Rplot103.png', 'images/Rplot104.png', 'images/Rplot105.png', 'images/Rplot106.png', 'images/Rplot107.png', 'images/Rplot108.png', 'images/Rplot109.png', 'images/Rplot110.png', 'images/Rplot111.png', 'images/Rplot112.png', 'images/Rplot113.png', 'images/Rplot114.png', 'images/Rplot115.png', 'images/Rplot116.png', 'images/Rplot117.png', 'images/Rplot118.png', 'images/Rplot119.png', 'images/Rplot120.png', 'images/Rplot121.png', 'images/Rplot122.png', 'images/Rplot123.png', 'images/Rplot124.png', 'images/Rplot125.png', 'images/Rplot126.png', 'images/Rplot127.png', 'images/Rplot128.png', 'images/Rplot129.png', 'images/Rplot130.png', 'images/Rplot131.png', 'images/Rplot132.png', 'images/Rplot133.png', 'images/Rplot134.png', 'images/Rplot135.png', 'images/Rplot136.png', 'images/Rplot137.png', 'images/Rplot138.png', 'images/Rplot139.png', 'images/Rplot140.png', 'images/Rplot141.png', 'images/Rplot142.png', 'images/Rplot143.png', 'images/Rplot144.png', 'images/Rplot145.png', 'images/Rplot146.png', 'images/Rplot147.png', 'images/Rplot148.png', 'images/Rplot149.png', 'images/Rplot150.png', 'images/Rplot151.png', 'images/Rplot152.png', 'images/Rplot153.png', 'images/Rplot154.png', 'images/Rplot155.png', 'images/Rplot156.png', 'images/Rplot157.png', 'images/Rplot158.png', 'images/Rplot159.png', 'images/Rplot160.png', 'images/Rplot161.png', 'images/Rplot162.png', 'images/Rplot163.png', 'images/Rplot164.png', 'images/Rplot165.png', 'images/Rplot166.png', 'images/Rplot167.png', 'images/Rplot168.png', 'images/Rplot169.png', 'images/Rplot170.png', 'images/Rplot171.png', 'images/Rplot172.png', 'images/Rplot173.png', 'images/Rplot174.png', 'images/Rplot175.png', 'images/Rplot176.png', 'images/Rplot177.png', 'images/Rplot178.png', 'images/Rplot179.png', 'images/Rplot180.png', 'images/Rplot181.png', 'images/Rplot182.png', 'images/Rplot183.png', 'images/Rplot184.png', 'images/Rplot185.png', 'images/Rplot186.png', 'images/Rplot187.png', 'images/Rplot188.png', 'images/Rplot189.png', 'images/Rplot190.png', 'images/Rplot191.png', 'images/Rplot192.png', 'images/Rplot193.png', 'images/Rplot194.png', 'images/Rplot195.png', 'images/Rplot196.png', 'images/Rplot197.png', 'images/Rplot198.png', 'images/Rplot199.png', 'images/Rplot200.png', 'images/Rplot201.png', 'images/Rplot202.png', 'images/Rplot203.png', 'images/Rplot204.png', 'images/Rplot205.png', 'images/Rplot206.png', 'images/Rplot207.png', 'images/Rplot208.png', 'images/Rplot209.png', 'images/Rplot210.png', 'images/Rplot211.png', 'images/Rplot212.png', 'images/Rplot213.png', 'images/Rplot214.png', 'images/Rplot215.png', 'images/Rplot216.png', 'images/Rplot217.png', 'images/Rplot218.png', 'images/Rplot219.png', 'images/Rplot220.png', 'images/Rplot221.png', 'images/Rplot222.png', 'images/Rplot223.png', 'images/Rplot224.png', 'images/Rplot225.png', 'images/Rplot226.png', 'images/Rplot227.png', 'images/Rplot228.png', 'images/Rplot229.png', 'images/Rplot230.png', 'images/Rplot231.png', 'images/Rplot232.png', 'images/Rplot233.png', 'images/Rplot234.png', 'images/Rplot235.png', 'images/Rplot236.png', 'images/Rplot237.png', 'images/Rplot238.png', 'images/Rplot239.png', 'images/Rplot240.png', 'images/Rplot241.png', 'images/Rplot242.png', 'images/Rplot243.png', 'images/Rplot244.png', 'images/Rplot245.png', 'images/Rplot246.png', 'images/Rplot247.png', 'images/Rplot248.png', 'images/Rplot249.png', 'images/Rplot250.png', 'images/Rplot251.png', 'images/Rplot252.png', 'images/Rplot253.png', 'images/Rplot254.png', 'images/Rplot255.png', 'images/Rplot256.png', 'images/Rplot257.png', 'images/Rplot258.png', 'images/Rplot259.png', 'images/Rplot260.png', 'images/Rplot261.png', 'images/Rplot262.png', 'images/Rplot263.png', 'images/Rplot264.png', 'images/Rplot265.png', 'images/Rplot266.png', 'images/Rplot267.png', 'images/Rplot268.png', 'images/Rplot269.png', 'images/Rplot270.png', 'images/Rplot271.png', 'images/Rplot272.png', 'images/Rplot273.png', 'images/Rplot274.png', 'images/Rplot275.png', 'images/Rplot276.png', 'images/Rplot277.png', 'images/Rplot278.png', 'images/Rplot279.png', 'images/Rplot280.png', 'images/Rplot281.png', 'images/Rplot282.png', 'images/Rplot283.png', 'images/Rplot284.png', 'images/Rplot285.png', 'images/Rplot286.png', 'images/Rplot287.png', 'images/Rplot288.png', 'images/Rplot289.png', 'images/Rplot290.png', 'images/Rplot291.png', 'images/Rplot292.png', 'images/Rplot293.png', 'images/Rplot294.png', 'images/Rplot295.png', 'images/Rplot296.png', 'images/Rplot297.png', 'images/Rplot298.png', 'images/Rplot299.png', 'images/Rplot300.png', 'images/Rplot301.png', 'images/Rplot302.png', 'images/Rplot303.png', 'images/Rplot304.png', 'images/Rplot305.png', 'images/Rplot306.png', 'images/Rplot307.png', 'images/Rplot308.png', 'images/Rplot309.png', 'images/Rplot310.png', 'images/Rplot311.png', 'images/Rplot312.png', 'images/Rplot313.png', 'images/Rplot314.png', 'images/Rplot315.png', 'images/Rplot316.png', 'images/Rplot317.png', 'images/Rplot318.png', 'images/Rplot319.png', 'images/Rplot320.png', 'images/Rplot321.png', 'images/Rplot322.png', 'images/Rplot323.png', 'images/Rplot324.png', 'images/Rplot325.png', 'images/Rplot326.png', 'images/Rplot327.png', 'images/Rplot328.png', 'images/Rplot329.png', 'images/Rplot330.png', 'images/Rplot331.png', 'images/Rplot332.png', 'images/Rplot333.png', 'images/Rplot334.png', 'images/Rplot335.png', 'images/Rplot336.png', 'images/Rplot337.png', 'images/Rplot338.png', 'images/Rplot339.png', 'images/Rplot340.png', 'images/Rplot341.png', 'images/Rplot342.png', 'images/Rplot343.png', 'images/Rplot344.png', 'images/Rplot345.png', 'images/Rplot346.png', 'images/Rplot347.png', 'images/Rplot348.png', 'images/Rplot349.png', 'images/Rplot350.png', 'images/Rplot351.png', 'images/Rplot352.png', 'images/Rplot353.png', 'images/Rplot354.png', 'images/Rplot355.png', 'images/Rplot356.png', 'images/Rplot357.png', 'images/Rplot358.png', 'images/Rplot359.png', 'images/Rplot360.png', 'images/Rplot361.png', 'images/Rplot362.png', 'images/Rplot363.png', 'images/Rplot364.png', 'images/Rplot365.png', 'images/Rplot366.png', 'images/Rplot367.png', 'images/Rplot368.png', 'images/Rplot369.png', 'images/Rplot370.png', 'images/Rplot371.png', 'images/Rplot372.png', 'images/Rplot373.png', 'images/Rplot374.png', 'images/Rplot375.png', 'images/Rplot376.png', 'images/Rplot377.png', 'images/Rplot378.png', 'images/Rplot379.png', 'images/Rplot380.png', 'images/Rplot381.png', 'images/Rplot382.png', 'images/Rplot383.png', 'images/Rplot384.png', 'images/Rplot385.png', 'images/Rplot386.png', 'images/Rplot387.png', 'images/Rplot388.png', 'images/Rplot389.png', 'images/Rplot390.png', 'images/Rplot391.png', 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new file mode 100755
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diff --git a/misc-R/quantile/js/jquery.scianimator.min.js b/misc-R/quantile/js/jquery.scianimator.min.js
new file mode 100755
index 0000000..98ab8da
--- /dev/null
+++ b/misc-R/quantile/js/jquery.scianimator.min.js
@@ -0,0 +1,8 @@
+/**
+ * SciAnimator - Scientific Image Animator Plugin for jQuery
+ *
+ * Copyright (c) 2010 Brent Ertz
+ * Released under the MIT license.
+ * http://github.com/brentertz/scianimator
+*/
+(function(e){var c={CONTROLS_ALL:"all",CONTROLS_NONE:"none",DIRECTION_FORWARD:0,DIRECTION_REVERSE:1,LOOP_MODE_NONE:"none",LOOP_MODE_LOOP:"loop",LOOP_MODE_SWEEP:"sweep",PLAY_MODE_STOPPED:0,PLAY_MODE_PLAYING:1,POSITION_TOP:0,POSITION_BOTTOM:1};e.fn.scianimator=function(g){if(b[g]){return b[g].apply(this,Array.prototype.slice.call(arguments,1))}else{if(typeof g==="object"||!g){return b.init.apply(this,arguments)}else{e.error("Method "+g+" does not exist on jQuery.scianimator")}}};e.fn.scianimator.defaults={autoRefresh:false,keyboard:true,debug:false,images:[],controlContainer:null,controlPosition:c.POSITION_BOTTOM,controls:c.CONTROLS_ALL,defaultFrame:0,delay:250,delayStep:50,delayMin:25,delayMax:5000,dwellMultiplier:2,theme:"light",width:null,utf8:true,loopMode:c.LOOP_MODE_LOOP,labels:{text:{first:"First",previous:"Previous",play:"Play",stop:"Stop",next:"Next",last:"Last",loop:{tip:"Click to toggle loop mode",loop:"Loop",sweep:"Sweep",none:"None"},speed:{speed:"Speed",down:"-",up:"+"},navigator:{tip:"Click to go to frame; &lt;ctrl&gt;+click to enable/disable frame."},status:{preload:"Preloading images...",refresh:"Refreshing images from source..."}},utf8:{first:"|&#8592;",previous:"&#8592;",play:"&#9658;",stop:"&#9632;",next:"&#8594;",last:"&#8594;|"}}};var d={};var b={init:function(g){d=e.extend(true,{},e.fn.scianimator.defaults,g);a("init");return this.each(function(){var i=e(this);var h=i.data("scianimator");e(this).data("scianimator",{id:i[0].id,target:i,image:null,animationTimer:null,autoRefreshTimer:null,playMode:c.PLAY_MODE_STOPPED,frames:[],currentFrame:d.defaultFrame,firstFrame:0,lastFrame:null,disabledFrames:[],direction:c.DIRECTION_FORWARD,dwell:0,settings:d,controls:{}});i.scianimator("loadImages","preload").scianimator("container").scianimator("image").scianimator("controls").scianimator("calculateDwell")})},destroy:function(){a("destroy");return this.each(function(){var 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diff --git a/misc-R/quantile/model.html b/misc-R/quantile/model.html
new file mode 100644
index 0000000..2933201
--- /dev/null
+++ b/misc-R/quantile/model.html
@@ -0,0 +1,91 @@
+<html>
+<head>
+	<meta charset="utf-8" />
+	<meta name="generator" content="R package animation 2.7">
+	<title>Animations Using the R Language</title>
+	<link rel="stylesheet" href="css/reset.css" />
+	<link rel="stylesheet" href="css/styles.css" />
+	<link rel="stylesheet" href="css/scianimator.css" />
+  <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/8.3/styles/github.min.css">
+
+	<script src="js/jquery-1.4.4.min.js"></script>
+	<script src="js/jquery.scianimator.min.js"></script>
+  <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/8.3/highlight.min.js"></script>
+  <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/8.3/languages/r.min.js"></script>
+  <script>hljs.initHighlightingOnLoad();</script>
+
+</head>
+<body>
+
+	<div class="scianimator"><div id="Rplot" style="display: inline-block;"></div></div>
+	<div class="scianimator" style="width: 1600px; text-align: left"><pre><code class="r">## Animations generated in R version 4.4.1 (2024-06-14) using the package animation
+library(animation)
+library(RColorBrewer)
+library(onlineforecast)
+library(quantreg)
+library(SparseM)
+library(testthat)
+library(devtools)
+library(usethis)
+for (i in k:(60)) {
+    par(mfrow = c(2, 1))
+    par(mar = c(2, 4, 2, 2))
+    with(Pred_model, {
+        plot(Dtrain$t[(i - 10):(i + k)], Dtrain$Ps[(i - 10):(i + 
+            k)], bty = "l", lwd = 2, col = "black", pch = 19, 
+            cex = 0.5, axes = FALSE, xaxt = "n", type = "n", 
+            ylim = range(Dtrain$Ps[(i - 10):(i + k)], q0.5[i, 
+              ], q0.95[i, ], q0.05[i, ], na.rm = T), main = "TimeAdaptive with Weights", 
+            xlab = "Time", ylab = "Ps")
+        axis(2)
+        polygon(c(Dtrain$t[(i + 1):(i + k)], rev(Dtrain$t[(i + 
+            1):(i + k)])), c(Pred_model$q0.05[i, ], rev(Pred_model$q0.2[i, 
+            ])), col = colSeq[3], border = NA)
+        polygon(c(Dtrain$t[(i + 1):(i + k)], rev(Dtrain$t[(i + 
+            1):(i + k)])), c(Pred_model$q0.8[i, ], rev(Pred_model$q0.95[i, 
+            ])), col = colSeq[3], border = NA)
+        polygon(c(Dtrain$t[(i + 1):(i + k)], rev(Dtrain$t[(i + 
+            1):(i + k)])), c(Pred_model$q0.2[i, ], rev(Pred_model$q0.5[i, 
+            ])), col = colSeq[4], border = NA)
+        polygon(c(Dtrain$t[(i + 1):(i + k)], rev(Dtrain$t[(i + 
+            1):(i + k)])), c(Pred_model$q0.5[i, ], rev(Pred_model$q0.8[i, 
+            ])), col = colSeq[4], border = NA)
+        lines(Dtrain$t[(i - 10):(i + k)], Dtrain$Ps[(i - 
+            10):(i + k)], col = "black", type = "b", lwd = 2)
+        lines(Dtrain$t[(i + 1):(i + k)], q0.5[i, ], type = "b", 
+            col = "grey", lwd = 2)
+        axis.POSIXct(side = 1, x = Dtrain$t[(i - 10):(i + 
+            k)], at = seq(from = Dtrain$t[(i - 10):(i + k)][1], 
+            to = Dtrain$t[(i - 10):(i + k)][length(Dtrain$t[(i - 
+              10):(i + k)])], by = "1 hour"), format = "%Y/%m/%d %H:%M \n %a", 
+            las = 1, cex.axis = 1, srt = 45)
+        plot(Dtrain$t[(i - 10):(i + k)], c(rep(NA, 11), as.numeric(Dtrain$I[i, 
+            1:k])), type = "b", col = "steelblue", axes = FALSE, 
+            xlab = "Time", ylab = "Temp", lwd = 2, ylim = range(Dtrain$I[i, 
+              1:k], Dtrain$Iobs[(i + 1):(i + k)]))
+        lines(Dtrain$t[(i + 1):(i + k)], Dtrain$Iobs[(i + 
+            1):(i + k)], type = "b", col = "red", lwd = 2)
+        axis(2)
+        abline(h = 0, v = Dtrain$t[i], lty = 2, col = "lightgrey", 
+            lwd = 2)
+        legend("topleft", legend = c("Ta Obs", "Ta Pred"), 
+            col = c("red", "steelblue"), lty = 1, cex = 1, 
+            lwd = 2)
+        i
+        axis.POSIXct(side = 1, x = Dtrain$t[(i - 10):(i + 
+            k)], at = seq(from = Dtrain$t[(i - 10):(i + k)][1], 
+            to = Dtrain$t[(i - 10):(i + k)][length(Dtrain$t[(i - 
+              10):(i + k)])], by = "1 hour"), format = "%Y/%m/%d %H:%M \n %a", 
+            las = 1, cex.axis = 1, srt = 45)
+    })
+}
+## R version 4.4.1 (2024-06-14)
+## Platform: x86_64-pc-linux-gnu
+## Other packages: animation 2.7, RColorBrewer 1.1-3, onlineforecast
+## 1.0.2, quantreg 5.99, SparseM 1.84-2, testthat 3.2.1.1, devtools 2.4.5,
+## usethis 3.0.0</code></pre></div>
+	<script src="js/Rplot.js"></script>
+<!-- highlight R code -->
+
+</body>
+</html>
diff --git a/misc-R/quantile/quantile_Solar.R b/misc-R/quantile/quantile_Solar.R
index 772e427..9d55208 100644
--- a/misc-R/quantile/quantile_Solar.R
+++ b/misc-R/quantile/quantile_Solar.R
@@ -47,29 +47,32 @@ D$scoreperiod <- in_range("2009-06-10", D$t)
 Dtrain <- subset(D, in_range(tstart,D$t,tend))
 
 
+
+## Create the model, where N1 is the initial number of data points - for the cold start
 model <- qmodel$new(N1 = 50)
+## The output is the Ps from the Dsolar data
 model$output = "Ps"
-
+## The design matrix, here we are using 5 bsplines fixed at 5 and 18 hour of the day - ie when sun is up and down. 
 model$add_inputs(I = "bspline(tday, df=5, Boundary.knots=c(5,18)) %**% I")
 
+## Add the regularization parameter, lambda, and the bounds
 model$add_regprm("rls_prm(lambda=0.9)")
 model$add_prmbounds(lambda = c(0.99, 0.999, 0.9999))
 
-
+### Setup of the booking keeping matrix - 
+##############################################################
+####### THIS SHOULD BE DONE IN quantile_fit.R ################
+##############################################################
 ## First 5 columns are the input Matrix
 model$IX <- 0:4
-
+## The number of predictors, we could just use the length of the input matrix or the IX
+model$K <- 5
 ## The output column is the 6th one
 model$Iy <- 5
 
-model$K <- 5
-
+## Just quick fun to see the transformation
+## maybe have splines that sum to one always..
 model$datatr <- model$transform_data(Dtrain)
-
-model$tau <- c(0.05,0.2, 0.5, 0.8,0.95)
-model$kseq <- 1:24
-#opt_model <- quantile_optim(model = model, data = Dnew)
-
 plot(Dtrain$I$k1[1:100], type = "l")
 lines(model$datatr$I.bs1$k1, col = "red")
 lines(model$datatr$I.bs2$k1, col = "red")
@@ -78,6 +81,15 @@ lines(model$datatr$I.bs4$k1, col = "red")
 lines(model$datatr$I.bs5$k1, col = "red")
 
 
+
+## Select which quantiles we want to optimise and fit
+model$tau <- c(0.05,0.2, 0.5, 0.8,0.95)
+## Select which prediction horizon
+model$kseq <- c(1,4,8,12,24)
+model$kseq <- 1:24
+
+#opt_model <- quantile_optim(model = model, data = Dtrain)
+
 PAR <- c("lambda" = 0.999)
 quantile_fit(prm = PAR, model = model, data = Dtrain, q = model$tau[1])
 PAR <- c("lambda" = 0.999)
@@ -93,7 +105,11 @@ quantile_fit(prm = PAR, model = model, data = Dtrain, q = model$tau[5])
 Pred_model <- quantile_predict(model = model, datatr = model$datatr)
 
 
-
+plot(Dtrain$Ps, type = "l")
+lines(Pred_model$q0.05[,"k24"], type = "l", col = "green")
+lines(Pred_model$q0.5[,"k24"], type = "l", col = "blue")
+#lines(Pred_model$q0.5[,"k1"], type = "l", col = "green")
+lines(Pred_model$q0.95[,"k24"], type = "l", col = "red")
 
 
 
@@ -164,3 +180,82 @@ i
 
 }
 
+
+
+
+
+
+
+
+
+
+
+
+
+library(animation)
+k <- 24
+colSeq <- grey(seq(0.9,0.1,len=3))
+#colSeq <- colorJet(nPolygons)
+
+require( RColorBrewer )
+colSeq <- brewer.pal(11 , "Spectral" )
+
+saveHTML({
+for(i in k:(60)){
+
+    par(mfrow = c(2,1))
+    par(mar = c(2,4,2,2)) # bottom left top right
+    
+    with(Pred_model, {
+
+        plot(Dtrain$t[(i-10):(i+k)], Dtrain$Ps[(i-10):(i+k)], bty = "l", lwd = 2, col = "black", pch=19, cex=0.5,  axes = FALSE, xaxt = "n",
+             type="n", ylim = range(Dtrain$Ps[(i-10):(i+k)], q0.5[i,],  q0.95[i,], q0.05[i,], na.rm = T), main = "TimeAdaptive with Weights", xlab = "Time", ylab = "Ps")
+        
+        axis(2)
+        
+        
+        
+        polygon(c(Dtrain$t[(i+1):(i+k)], rev(Dtrain$t[(i+1):(i+k)])),
+                c(Pred_model$q0.05[i,],rev(Pred_model$q0.2[i,])), col= colSeq[3], border = NA)
+        polygon(c(Dtrain$t[(i+1):(i+k)], rev(Dtrain$t[(i+1):(i+k)])),
+                c(Pred_model$q0.8[i,],rev(Pred_model$q0.95[i,])), col= colSeq[3], border = NA)
+
+        polygon(c(Dtrain$t[(i+1):(i+k)], rev(Dtrain$t[(i+1):(i+k)])),
+               c(Pred_model$q0.2[i,],rev(Pred_model$q0.5[i,])), col= colSeq[4], border = NA)
+        polygon(c(Dtrain$t[(i+1):(i+k)], rev(Dtrain$t[(i+1):(i+k)])),
+               c(Pred_model$q0.5[i,],rev(Pred_model$q0.8[i,])), col= colSeq[4], border = NA)
+        
+        
+        lines(Dtrain$t[(i-10):(i+k)], Dtrain$Ps[(i-10):(i+k)], col = "black", type = "b", lwd = 2)
+        lines(Dtrain$t[(i+1):(i+k)], q0.5[i,], type = "b", col = "grey", lwd = 2)
+
+        axis.POSIXct(side = 1, x = Dtrain$t[(i-10):(i+k)], 
+                     at = seq(from = Dtrain$t[(i-10):(i+k)][1],
+                              to = Dtrain$t[(i-10):(i+k)][length(Dtrain$t[(i-10):(i+k)])],
+                              by = "1 hour"), format = "%Y/%m/%d %H:%M \n %a",
+                     las = 1, cex.axis = 1, srt = 45)
+        
+        #lines(Pred_model$q0.05[i,], type = "b", col = "blue")
+        #lines(Pred_model$q0.95[i,], type = "b", col = "blue")
+
+        plot(Dtrain$t[(i-10):(i+k)], c(rep(NA,11), as.numeric(Dtrain$I[i, 1:k])), type = "b", col = "steelblue", axes = FALSE, xlab = "Time", ylab = "Temp", lwd = 2, ylim = range(Dtrain$I[i, 1:k],  Dtrain$Iobs[(i+1):(i+k)]))
+        #lines(Dtrain$t[i], Dtrain$Iobs[i+1,1], type = "b", col = "red", axes = FALSE)
+        lines(Dtrain$t[(i+1):(i+k)], Dtrain$Iobs[(i+1):(i+k)], type = "b", col = "red", lwd = 2)
+        axis(2)
+        abline(h=0,v=Dtrain$t[i],lty=2, col = "lightgrey", lwd = 2)
+        
+        legend("topleft", legend=c("Ta Obs", "Ta Pred"),
+               col=c("red", "steelblue"), lty=1, cex=1, lwd = 2)
+    
+        
+i 
+        axis.POSIXct(side = 1, x = Dtrain$t[(i-10):(i+k)], 
+                     at = seq(from = Dtrain$t[(i-10):(i+k)][1],
+                              to = Dtrain$t[(i-10):(i+k)][length(Dtrain$t[(i-10):(i+k)])],
+                              by = "1 hour"), format = "%Y/%m/%d %H:%M \n %a",
+                     las = 1, cex.axis = 1, srt = 45)
+    })
+
+
+}},  htmlfile = "misc-R/quantile/model.html", ani.height = 800, ani.width = 1600)
+
diff --git a/misc-R/quantile/rls.R b/misc-R/quantile/rls.R
new file mode 100644
index 0000000..aafedad
--- /dev/null
+++ b/misc-R/quantile/rls.R
@@ -0,0 +1,50 @@
+rls <- function(frml, lambda, data, k) {
+    
+    # R build-in function for setting up linear regression model
+    mf <- model.frame(as.formula(frml), data, na.action = na.pass)
+    # The model output
+    y <- mf[ ,1]
+    # The design matrix
+    X <- model.matrix(as.formula(frml), mf)
+
+    # The number of observations
+    n <- nrow(X)
+    # The number of parameters
+    p <- ncol(X)
+    # Parameter matrix
+    Theta <- matrix(as.numeric(NA), nrow = n, ncol = p)
+    # The predictions
+    yhat <- as.numeric(rep(NA,n))  
+    # The parameter vector
+    theta <- matrix(rep(0,p), ncol = 1)
+    
+    # Start value for the parameter covariance P
+    P <- 10000 * diag(1, p)
+    # Use the inverse in the RLS
+    R <- solve(P)
+    
+    # Iterate through and estimate the parameters
+    for (i in 1:(n-k)) {
+        x <- matrix(X[i, ])
+        # Check for NAs in inputs and output
+        if(all(!is.na(x)) & !is.na(y[i])){
+            # Update
+            R <- lambda * R + x %*% t(x)
+            theta <- theta + solve(R, x) %*% (y[i] - t(x) %*% theta)
+            Theta[i, ] <- t(theta)
+        }
+        # Predict
+        x <- matrix(X[i+k, ])
+        if(all(!is.na(x))){
+            yhat[i+k] <- t(x) %*% theta
+        }
+    }
+    
+    # Return a list
+    L <- list()
+    L$residuals <- y - yhat
+    L$X <- X
+    L$y <- y
+    L$Theta <- Theta
+    return(L)
+}
diff --git a/src/rq_init_cpp.cpp b/src/rq_init_cpp.cpp
index 4a780b2..7027189 100755
--- a/src/rq_init_cpp.cpp
+++ b/src/rq_init_cpp.cpp
@@ -18,7 +18,7 @@ Rcpp::List rq_init_cpp(arma::mat X,
 
 	if(Lr0 > beta.n_elem){
 
-		Rcout << "Worked" << "\n";
+		// Rcout << "Worked" << "\n";
 		arma::uvec Irs = sort_index(abs(R));
 		Irs = Irs.subvec(0,Lr0-1);
 		arma::mat Xh = X.rows(Irs);
diff --git a/src/rq_simplex_cpp.cpp b/src/rq_simplex_cpp.cpp
index 5890c20..d3e1a02 100755
--- a/src/rq_simplex_cpp.cpp
+++ b/src/rq_simplex_cpp.cpp
@@ -21,14 +21,27 @@ Rcpp::List rq_simplex_cpp(arma::mat X,
 
 	arma::vec cC = arma::join_cols(arma::ones<arma::vec>(K) * tau, arma::ones<arma::vec>(K) * (1-tau));
 
-
-
+	// This here below will give problem if there is NA in the design matrix
+	// The sort_index will fail, and so, somehow in sorting then we need to make sure that
+	// index with NA needs to be removed or not used.
 	//Rcout << Xny .rows(Ihc) << "\n";
+	// Rcout << X.rows(Ihc) << "\n";
+	// Rcout << "bingooo" << "\n";
+	// Rcout << Ihc << "\n";
+	// Rcout << "faar" << "\n";
+	// Rcout << invXh << "\n";
 	arma::mat IB2 = -(P * arma::ones<arma::vec>(K).t() % X.rows(Ihc))*invXh;	
 
+	// Rcout << cB << "\n";
+	// Rcout << "bluee" << "\n";
+	// Rcout << IB2.t() << "\n";
 	arma::vec g = IB2.t() * cB;
+
+	//Rcout << g << "\n";
+	//Rcout << cC << "\n";
 	arma::vec d = cC - arma::join_cols(g,-g);
 	d.elem(find(abs(d) < 1.e-15)).fill(0);
+	// Rcout << d << "\n";
 	arma::uvec s = sort_index(d);
 	arma::vec md = sort(d);
 
diff --git a/src/rq_update_cpp.cpp b/src/rq_update_cpp.cpp
index 17ca40e..f3f523e 100755
--- a/src/rq_update_cpp.cpp
+++ b/src/rq_update_cpp.cpp
@@ -33,7 +33,7 @@ Rcpp::List rq_update_cpp(arma::mat newX,
 		X = W * X;
 	}
 
-	X = join_cols(X, newX);
+	// X = join_cols(X, newX);
 
 	// Rolling window of leaving the design matrix
 	// i.e. the last observation leaves the matrix 
@@ -110,7 +110,8 @@ Rcpp::List rq_update_cpp(arma::mat newX,
 	double rny = arma::as_scalar(newX(kk, Iy)) - Ypred;
 
 	//Rcout << "rny" << rny << "\n";
-
+	X = join_cols(X, newX);
+	
 	int szR = Rny.size();
 	Rny.resize(szR+1);
 	Rny(szR) = rny;
-- 
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