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#' _Benchmark procedure to fit complexity functions to a data.frame of time or memory values
#' @title Complexity Estimation and Prediction
#' @param to.model A data.frame produced by the CompEst() function, comprised of the following columns: size, time, memory, NlogN_X
#' @param use a string indicatif if the function deals "time" or "memory" data
#'
#' @import dplyr
#' @importFrom stats glm
#'
#' @return a list with all the fitted complexity model.
#'
CompEstBenchmark = function(to.model, use="time"){
if (use=="time"){
constant <- glm(time~1, data=to.model); to.model['constant'] = fitted(constant)
linear <- glm(time~size, data=to.model); to.model['linear'] = fitted(linear)
quadratic <- glm(time~I(size^2), data=to.model); to.model['quadratic'] = fitted(quadratic)
cubic <- glm(time~I(size^3), data=to.model); to.model['cubic'] = fitted(cubic)
squareroot <- glm(time~sqrt(size), data=to.model); to.model['squareroot'] = fitted(squareroot)
log <- glm(time~log(size), data=to.model); to.model['log'] = fitted(log)
NlogN <- glm(time~NlogN_X, data=to.model); to.model['NlogN'] = fitted(NlogN)
model.list <- list('constant' = constant,
'linear' = linear,
'quadratic' = quadratic,
'cubic' = cubic,
'squareroot' = squareroot,
'log' = log,
'NlogN' = NlogN)
} else if (use=="memory"){
constant <- glm(memory~1, data=to.model); to.model['constant'] = fitted(constant)
linear <- glm(memory~size, data=to.model); to.model['linear'] = fitted(linear)
quadratic <- glm(memory~I(size^2), data=to.model); to.model['quadratic'] = fitted(quadratic)
cubic <- glm(memory~I(size^3), data=to.model); to.model['cubic'] = fitted(cubic)
squareroot <- glm(memory~sqrt(size), data=to.model); to.model['squareroot'] = fitted(squareroot)
log <- glm(memory~log(size), data=to.model); to.model['log'] = fitted(log)
NlogN <- glm(memory~NlogN_X, data=to.model); to.model['NlogN'] = fitted(NlogN)
model.list <- list('constant' = constant,
'linear' = linear,
'quadratic' = quadratic,
'cubic' = cubic,
'squareroot' = squareroot,
'log' = log,
'NlogN' = NlogN)
}
return(list(model.list, to.model))
}
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