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#' \code{trajectoryab3} fits a second-order velocity model and produces a \code{t-x} trajectory
#' for \code{vehicle = i} where \code{i = 3,4, ..., nveh}.
#'
#' @param tstart time, a number
#' @param tend time, a number
#' @param ustart speed, a number
#' @param uend speed, a number
#' @param xstart location, a number
#' @param xend location, a number
#' @param step line type, a number
#' @param type TRUE to create plots or FALSE otherwise, a logical
#' @usage trajectoryab3(tstart, tend, ustart, uend, xstart, xend, step,type)
#' @export
trajectoryab3 <- function(tstart, tend, ustart, uend, xstart, xend, step, type) {
start <- as.numeric(tstart)
tend <- as.numeric(tend)
ustart <- as.numeric(ustart)
uend <- as.numeric(uend)
xstart <- as.numeric(xstart)
xend <- as.numeric(xend)
ab <- xabparam(
tstart = tstart,
tend = tend,
ustart = ustart,
uend = uend,
xstart = xstart,
xend = xend)
a <- ab[1]
b <- ab[2]
# Warning messages:
# 1: In get(object, envir = currentEnv, inherits = TRUE) :
# restarting interrupted promise evaluation
# print(data.frame("trajectoryab3", tstart, tend, step))
tseq <- seq(tstart, tend, by = step)
tlen <- length(tseq)
xseq <- rep(NA, tlen)
useq <- rep(NA, tlen)
for(i in 1:tlen) useq[i] <- uab(u0 = ustart, a, b, tseq[i], t0 = tstart)
for(i in 1:tlen) xseq[i] <- xab(x0 = xstart, u0 = ustart, a, b, tseq[i], t0 = tstart)
if(type == TRUE) lines(tseq, xseq, col = "black")
tux <- as.matrix(data.frame(t = tseq, u = useq, x = xseq))
return(tux)
}
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