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+# -*- Autoconf -*-
+# This file is part of Autoconf.
+# foreach-based replacements for recursive functions.
+# Speeds up GNU M4 1.4.x by avoiding quadratic $@ recursion, but penalizes
+# GNU M4 1.6 by requiring more memory and macro expansions.
+#
+# Copyright (C) 2008-2013 Free Software Foundation, Inc.
+
+# This file is part of Autoconf. 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 3 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.
+#
+# Under Section 7 of GPL version 3, you are granted additional
+# permissions described in the Autoconf Configure Script Exception,
+# version 3.0, as published by the Free Software Foundation.
+#
+# You should have received a copy of the GNU General Public License
+# and a copy of the Autoconf Configure Script Exception along with
+# this program; see the files COPYINGv3 and COPYING.EXCEPTION
+# respectively. If not, see <http://www.gnu.org/licenses/>.
+
+# Written by Eric Blake.
+
+# In M4 1.4.x, every byte of $@ is rescanned. This means that an
+# algorithm on n arguments that recurses with one less argument each
+# iteration will scan n * (n + 1) / 2 arguments, for O(n^2) time. In
+# M4 1.6, this was fixed so that $@ is only scanned once, then
+# back-references are made to information stored about the scan.
+# Thus, n iterations need only scan n arguments, for O(n) time.
+# Additionally, in M4 1.4.x, recursive algorithms did not clean up
+# memory very well, requiring O(n^2) memory rather than O(n) for n
+# iterations.
+#
+# This file is designed to overcome the quadratic nature of $@
+# recursion by writing a variant of m4_foreach that uses m4_for rather
+# than $@ recursion to operate on the list. This involves more macro
+# expansions, but avoids the need to rescan a quadratic number of
+# arguments, making these replacements very attractive for M4 1.4.x.
+# On the other hand, in any version of M4, expanding additional macros
+# costs additional time; therefore, in M4 1.6, where $@ recursion uses
+# fewer macros, these replacements actually pessimize performance.
+# Additionally, the use of $10 to mean the tenth argument violates
+# POSIX; although all versions of m4 1.4.x support this meaning, a
+# future m4 version may switch to take it as the first argument
+# concatenated with a literal 0, so the implementations in this file
+# are not future-proof. Thus, this file is conditionally included as
+# part of m4_init(), only when it is detected that M4 probably has
+# quadratic behavior (ie. it lacks the macro __m4_version__).
+#
+# Please keep this file in sync with m4sugar.m4.
+
+# _m4_foreach(PRE, POST, IGNORED, ARG...)
+# ---------------------------------------
+# Form the common basis of the m4_foreach and m4_map macros. For each
+# ARG, expand PRE[ARG]POST[]. The IGNORED argument makes recursion
+# easier, and must be supplied rather than implicit.
+#
+# This version minimizes the number of times that $@ is evaluated by
+# using m4_for to generate a boilerplate into _m4_f then passing $@ to
+# that temporary macro. Thus, the recursion is done in m4_for without
+# reparsing any user input, and is not quadratic. For an idea of how
+# this works, note that m4_foreach(i,[1,2],[i]) calls
+# _m4_foreach([m4_define([i],],[)i],[],[1],[2])
+# which defines _m4_f:
+# $1[$4]$2[]$1[$5]$2[]_m4_popdef([_m4_f])
+# then calls _m4_f([m4_define([i],],[)i],[],[1],[2]) for a net result:
+# m4_define([i],[1])i[]m4_define([i],[2])i[]_m4_popdef([_m4_f]).
+m4_define([_m4_foreach],
+[m4_if([$#], [3], [],
+ [m4_pushdef([_m4_f], _m4_for([4], [$#], [1],
+ [$0_([1], [2],], [)])[_m4_popdef([_m4_f])])_m4_f($@)])])
+
+m4_define([_m4_foreach_],
+[[$$1[$$3]$$2[]]])
+
+# m4_case(SWITCH, VAL1, IF-VAL1, VAL2, IF-VAL2, ..., DEFAULT)
+# -----------------------------------------------------------
+# Find the first VAL that SWITCH matches, and expand the corresponding
+# IF-VAL. If there are no matches, expand DEFAULT.
+#
+# Use m4_for to create a temporary macro in terms of a boilerplate
+# m4_if with final cleanup. If $# is even, we have DEFAULT; if it is
+# odd, then rounding the last $# up in the temporary macro is
+# harmless. For example, both m4_case(1,2,3,4,5) and
+# m4_case(1,2,3,4,5,6) result in the intermediate _m4_case being
+# m4_if([$1],[$2],[$3],[$1],[$4],[$5],_m4_popdef([_m4_case])[$6])
+m4_define([m4_case],
+[m4_if(m4_eval([$# <= 2]), [1], [$2],
+[m4_pushdef([_$0], [m4_if(]_m4_for([2], m4_eval([($# - 1) / 2 * 2]), [2],
+ [_$0_(], [)])[_m4_popdef(
+ [_$0])]m4_dquote($m4_eval([($# + 1) & ~1]))[)])_$0($@)])])
+
+m4_define([_m4_case_],
+[$0_([1], [$1], m4_incr([$1]))])
+
+m4_define([_m4_case__],
+[[[$$1],[$$2],[$$3],]])
+
+# m4_bmatch(SWITCH, RE1, VAL1, RE2, VAL2, ..., DEFAULT)
+# -----------------------------------------------------
+# m4 equivalent of
+#
+# if (SWITCH =~ RE1)
+# VAL1;
+# elif (SWITCH =~ RE2)
+# VAL2;
+# elif ...
+# ...
+# else
+# DEFAULT
+#
+# We build the temporary macro _m4_b:
+# m4_define([_m4_b], _m4_defn([_m4_bmatch]))_m4_b([$1], [$2], [$3])...
+# _m4_b([$1], [$m-1], [$m])_m4_b([], [], [$m+1]_m4_popdef([_m4_b]))
+# then invoke m4_unquote(_m4_b($@)), for concatenation with later text.
+m4_define([m4_bmatch],
+[m4_if([$#], 0, [m4_fatal([$0: too few arguments: $#])],
+ [$#], 1, [m4_fatal([$0: too few arguments: $#: $1])],
+ [$#], 2, [$2],
+ [m4_pushdef([_m4_b], [m4_define([_m4_b],
+ _m4_defn([_$0]))]_m4_for([3], m4_eval([($# + 1) / 2 * 2 - 1]),
+ [2], [_$0_(], [)])[_m4_b([], [],]m4_dquote([$]m4_eval(
+ [($# + 1) / 2 * 2]))[_m4_popdef([_m4_b]))])m4_unquote(_m4_b($@))])])
+
+m4_define([_m4_bmatch],
+[m4_if(m4_bregexp([$1], [$2]), [-1], [], [[$3]m4_define([$0])])])
+
+m4_define([_m4_bmatch_],
+[$0_([1], m4_decr([$1]), [$1])])
+
+m4_define([_m4_bmatch__],
+[[_m4_b([$$1], [$$2], [$$3])]])
+
+
+# m4_cond(TEST1, VAL1, IF-VAL1, TEST2, VAL2, IF-VAL2, ..., [DEFAULT])
+# -------------------------------------------------------------------
+# Similar to m4_if, except that each TEST is expanded when encountered.
+# If the expansion of TESTn matches the string VALn, the result is IF-VALn.
+# The result is DEFAULT if no tests passed. This macro allows
+# short-circuiting of expensive tests, where it pays to arrange quick
+# filter tests to run first.
+#
+# m4_cond already guarantees either 3*n or 3*n + 1 arguments, 1 <= n.
+# We only have to speed up _m4_cond, by building the temporary _m4_c:
+# m4_define([_m4_c], _m4_defn([m4_unquote]))_m4_c([m4_if(($1), [($2)],
+# [[$3]m4_define([_m4_c])])])_m4_c([m4_if(($4), [($5)],
+# [[$6]m4_define([_m4_c])])])..._m4_c([m4_if(($m-2), [($m-1)],
+# [[$m]m4_define([_m4_c])])])_m4_c([[$m+1]]_m4_popdef([_m4_c]))
+# We invoke m4_unquote(_m4_c($@)), for concatenation with later text.
+m4_define([_m4_cond],
+[m4_pushdef([_m4_c], [m4_define([_m4_c],
+ _m4_defn([m4_unquote]))]_m4_for([2], m4_eval([$# / 3 * 3 - 1]), [3],
+ [$0_(], [)])[_m4_c(]m4_dquote(m4_dquote(
+ [$]m4_eval([$# / 3 * 3 + 1])))[_m4_popdef([_m4_c]))])m4_unquote(_m4_c($@))])
+
+m4_define([_m4_cond_],
+[$0_(m4_decr([$1]), [$1], m4_incr([$1]))])
+
+m4_define([_m4_cond__],
+[[_m4_c([m4_if(($$1), [($$2)], [[$$3]m4_define([_m4_c])])])]])
+
+# m4_bpatsubsts(STRING, RE1, SUBST1, RE2, SUBST2, ...)
+# ----------------------------------------------------
+# m4 equivalent of
+#
+# $_ = STRING;
+# s/RE1/SUBST1/g;
+# s/RE2/SUBST2/g;
+# ...
+#
+# m4_bpatsubsts already validated an odd number of arguments; we only
+# need to speed up _m4_bpatsubsts. To avoid nesting, we build the
+# temporary _m4_p:
+# m4_define([_m4_p], [$1])m4_define([_m4_p],
+# m4_bpatsubst(m4_dquote(_m4_defn([_m4_p])), [$2], [$3]))m4_define([_m4_p],
+# m4_bpatsubst(m4_dquote(_m4_defn([_m4_p])), [$4], [$5]))m4_define([_m4_p],...
+# m4_bpatsubst(m4_dquote(_m4_defn([_m4_p])), [$m-1], [$m]))m4_unquote(
+# _m4_defn([_m4_p])_m4_popdef([_m4_p]))
+m4_define([_m4_bpatsubsts],
+[m4_pushdef([_m4_p], [m4_define([_m4_p],
+ ]m4_dquote([$]1)[)]_m4_for([3], [$#], [2], [$0_(],
+ [)])[m4_unquote(_m4_defn([_m4_p])_m4_popdef([_m4_p]))])_m4_p($@)])
+
+m4_define([_m4_bpatsubsts_],
+[$0_(m4_decr([$1]), [$1])])
+
+m4_define([_m4_bpatsubsts__],
+[[m4_define([_m4_p],
+m4_bpatsubst(m4_dquote(_m4_defn([_m4_p])), [$$1], [$$2]))]])
+
+# m4_shiftn(N, ...)
+# -----------------
+# Returns ... shifted N times. Useful for recursive "varargs" constructs.
+#
+# m4_shiftn already validated arguments; we only need to speed up
+# _m4_shiftn. If N is 3, then we build the temporary _m4_s, defined as
+# ,[$5],[$6],...,[$m]_m4_popdef([_m4_s])
+# before calling m4_shift(_m4_s($@)).
+m4_define([_m4_shiftn],
+[m4_if(m4_incr([$1]), [$#], [], [m4_pushdef([_m4_s],
+ _m4_for(m4_eval([$1 + 2]), [$#], [1],
+ [[,]m4_dquote($], [)])[_m4_popdef([_m4_s])])m4_shift(_m4_s($@))])])
+
+# m4_do(STRING, ...)
+# ------------------
+# This macro invokes all its arguments (in sequence, of course). It is
+# useful for making your macros more structured and readable by dropping
+# unnecessary dnl's and have the macros indented properly.
+#
+# Here, we use the temporary macro _m4_do, defined as
+# $1[]$2[]...[]$n[]_m4_popdef([_m4_do])
+m4_define([m4_do],
+[m4_if([$#], [0], [],
+ [m4_pushdef([_$0], _m4_for([1], [$#], [1],
+ [$], [[[]]])[_m4_popdef([_$0])])_$0($@)])])
+
+# m4_dquote_elt(ARGS)
+# -------------------
+# Return ARGS as an unquoted list of double-quoted arguments.
+#
+# _m4_foreach to the rescue.
+m4_define([m4_dquote_elt],
+[m4_if([$#], [0], [], [[[$1]]_m4_foreach([,m4_dquote(], [)], $@)])])
+
+# m4_reverse(ARGS)
+# ----------------
+# Output ARGS in reverse order.
+#
+# Invoke _m4_r($@) with the temporary _m4_r built as
+# [$m], [$m-1], ..., [$2], [$1]_m4_popdef([_m4_r])
+m4_define([m4_reverse],
+[m4_if([$#], [0], [], [$#], [1], [[$1]],
+[m4_pushdef([_m4_r], [[$$#]]_m4_for(m4_decr([$#]), [1], [-1],
+ [[, ]m4_dquote($], [)])[_m4_popdef([_m4_r])])_m4_r($@)])])
+
+
+# m4_map_args_pair(EXPRESSION, [END-EXPR = EXPRESSION], ARG...)
+# -------------------------------------------------------------
+# Perform a pairwise grouping of consecutive ARGs, by expanding
+# EXPRESSION([ARG1], [ARG2]). If there are an odd number of ARGs, the
+# final argument is expanded with END-EXPR([ARGn]).
+#
+# Build the temporary macro _m4_map_args_pair, with the $2([$m+1])
+# only output if $# is odd:
+# $1([$3], [$4])[]$1([$5], [$6])[]...$1([$m-1],
+# [$m])[]m4_default([$2], [$1])([$m+1])[]_m4_popdef([_m4_map_args_pair])
+m4_define([m4_map_args_pair],
+[m4_if([$#], [0], [m4_fatal([$0: too few arguments: $#])],
+ [$#], [1], [m4_fatal([$0: too few arguments: $#: $1])],
+ [$#], [2], [],
+ [$#], [3], [m4_default([$2], [$1])([$3])[]],
+ [m4_pushdef([_$0], _m4_for([3],
+ m4_eval([$# / 2 * 2 - 1]), [2], [_$0_(], [)])_$0_end(
+ [1], [2], [$#])[_m4_popdef([_$0])])_$0($@)])])
+
+m4_define([_m4_map_args_pair_],
+[$0_([1], [$1], m4_incr([$1]))])
+
+m4_define([_m4_map_args_pair__],
+[[$$1([$$2], [$$3])[]]])
+
+m4_define([_m4_map_args_pair_end],
+[m4_if(m4_eval([$3 & 1]), [1], [[m4_default([$$2], [$$1])([$$3])[]]])])
+
+# m4_join(SEP, ARG1, ARG2...)
+# ---------------------------
+# Produce ARG1SEPARG2...SEPARGn. Avoid back-to-back SEP when a given ARG
+# is the empty string. No expansion is performed on SEP or ARGs.
+#
+# Use a self-modifying separator, since we don't know how many
+# arguments might be skipped before a separator is first printed, but
+# be careful if the separator contains $. _m4_foreach to the rescue.
+m4_define([m4_join],
+[m4_pushdef([_m4_sep], [m4_define([_m4_sep], _m4_defn([m4_echo]))])]dnl
+[_m4_foreach([_$0([$1],], [)], $@)_m4_popdef([_m4_sep])])
+
+m4_define([_m4_join],
+[m4_if([$2], [], [], [_m4_sep([$1])[$2]])])
+
+# m4_joinall(SEP, ARG1, ARG2...)
+# ------------------------------
+# Produce ARG1SEPARG2...SEPARGn. An empty ARG results in back-to-back SEP.
+# No expansion is performed on SEP or ARGs.
+#
+# A bit easier than m4_join. _m4_foreach to the rescue.
+m4_define([m4_joinall],
+[[$2]m4_if(m4_eval([$# <= 2]), [1], [],
+ [_m4_foreach([$1], [], m4_shift($@))])])
+
+# m4_list_cmp(A, B)
+# -----------------
+# Compare the two lists of integer expressions A and B.
+#
+# m4_list_cmp takes care of any side effects; we only override
+# _m4_list_cmp_raw, where we can safely expand lists multiple times.
+# First, insert padding so that both lists are the same length; the
+# trailing +0 is necessary to handle a missing list. Next, create a
+# temporary macro to perform pairwise comparisons until an inequality
+# is found. For example, m4_list_cmp([1], [1,2]) creates _m4_cmp as
+# m4_if(m4_eval([($1) != ($3)]), [1], [m4_cmp([$1], [$3])],
+# m4_eval([($2) != ($4)]), [1], [m4_cmp([$2], [$4])],
+# [0]_m4_popdef([_m4_cmp]))
+# then calls _m4_cmp([1+0], [0*2], [1], [2+0])
+m4_define([_m4_list_cmp_raw],
+[m4_if([$1], [$2], 0,
+ [_m4_list_cmp($1+0_m4_list_pad(m4_count($1), m4_count($2)),
+ $2+0_m4_list_pad(m4_count($2), m4_count($1)))])])
+
+m4_define([_m4_list_pad],
+[m4_if(m4_eval($1 < $2), [1],
+ [_m4_for(m4_incr([$1]), [$2], [1], [,0*])])])
+
+m4_define([_m4_list_cmp],
+[m4_pushdef([_m4_cmp], [m4_if(]_m4_for(
+ [1], m4_eval([$# >> 1]), [1], [$0_(], [,]m4_eval([$# >> 1])[)])[
+ [0]_m4_popdef([_m4_cmp]))])_m4_cmp($@)])
+
+m4_define([_m4_list_cmp_],
+[$0_([$1], m4_eval([$1 + $2]))])
+
+m4_define([_m4_list_cmp__],
+[[m4_eval([($$1) != ($$2)]), [1], [m4_cmp([$$1], [$$2])],
+]])
+
+# m4_max(EXPR, ...)
+# m4_min(EXPR, ...)
+# -----------------
+# Return the decimal value of the maximum (or minimum) in a series of
+# integer expressions.
+#
+# _m4_foreach to the rescue; we only need to replace _m4_minmax. Here,
+# we need a temporary macro to track the best answer so far, so that
+# the foreach expression is tractable.
+m4_define([_m4_minmax],
+[m4_pushdef([_m4_best], m4_eval([$2]))_m4_foreach(
+ [m4_define([_m4_best], $1(_m4_best,], [))], m4_shift($@))]dnl
+[_m4_best[]_m4_popdef([_m4_best])])
+
+# m4_set_add_all(SET, VALUE...)
+# -----------------------------
+# Add each VALUE into SET. This is O(n) in the number of VALUEs, and
+# can be faster than calling m4_set_add for each VALUE.
+#
+# _m4_foreach to the rescue. If no deletions have occurred, then
+# avoid the speed penalty of m4_set_add.
+m4_define([m4_set_add_all],
+[m4_if([$#], [0], [], [$#], [1], [],
+ [m4_define([_m4_set_size($1)], m4_eval(m4_set_size([$1])
+ + m4_len(_m4_foreach(m4_ifdef([_m4_set_cleanup($1)],
+ [[m4_set_add]], [[_$0]])[([$1],], [)], $@))))])])
+
+m4_define([_m4_set_add_all],
+[m4_ifdef([_m4_set([$1],$2)], [],
+ [m4_define([_m4_set([$1],$2)],
+ [1])m4_pushdef([_m4_set([$1])], [$2])-])])