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#############################################################################
# Copyright (c) 2012 Christophe Dutang
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the
# Free Software Foundation, Inc.,
# 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA
#
#############################################################################
### utility functions for step functions in GNE
###
### R functions
###
#step functions
#no relaxation steps (pure classic fixed point algorithms)
purestep <- function(k) 1
#constant-decreasing steps
decrstep <- function(k, param) ifelse(k <= param, 1/2, 1/2/(k-param))
decrstep5 <- function(k) decrstep(k, 5)
decrstep10 <- function(k) decrstep(k, 10)
decrstep20 <- function(k) decrstep(k, 20)
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