<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> <html xmlns:fn="http://www.w3.org/2005/02/xpath-functions"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <link rel="stylesheet" href="../../../../doc/otp_doc.css" type="text/css"> <title>Erlang -- beam_lib</title> </head> <body bgcolor="white" text="#000000" link="#0000ff" vlink="#ff00ff" alink="#ff0000"><div id="container"> <script id="js" type="text/javascript" language="JavaScript" src="../../../../doc/js/flipmenu/flipmenu.js"></script><script id="js2" type="text/javascript" src="../../../../doc/js/erlresolvelinks.js"></script><script language="JavaScript" type="text/javascript"> <!-- function getWinHeight() { var myHeight = 0; if( typeof( window.innerHeight ) == 'number' ) { //Non-IE myHeight = window.innerHeight; } else if( document.documentElement && ( document.documentElement.clientWidth || document.documentElement.clientHeight ) ) { //IE 6+ in 'standards compliant mode' myHeight = 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href="../../../../doc/index.html">Top</a></small><p><strong>STDLIB</strong><br><strong>Reference Manual</strong><br><small>Version 1.16.5</small></p> <br><a href="javascript:openAllFlips()">Expand All</a><br><a href="javascript:closeAllFlips()">Contract All</a><p><small><strong>Table of Contents</strong></small></p> <ul class="flipMenu"> <li title="STDLIB (App)"><a href="STDLIB_app.html">STDLIB (App) </a></li> <li id="no" title="array " expanded="false">array<ul> <li><a href="array.html"> Top of manual page </a></li> <li title="default-1"><a href="array.html#default-1">default/1</a></li> <li title="fix-1"><a href="array.html#fix-1">fix/1</a></li> <li title="foldl-3"><a href="array.html#foldl-3">foldl/3</a></li> <li title="foldr-3"><a href="array.html#foldr-3">foldr/3</a></li> <li title="from_list-1"><a href="array.html#from_list-1">from_list/1</a></li> <li title="from_list-2"><a href="array.html#from_list-2">from_list/2</a></li> <li title="from_orddict-1"><a href="array.html#from_orddict-1">from_orddict/1</a></li> <li title="from_orddict-2"><a href="array.html#from_orddict-2">from_orddict/2</a></li> <li title="get-2"><a href="array.html#get-2">get/2</a></li> <li title="is_array-1"><a href="array.html#is_array-1">is_array/1</a></li> <li title="is_fix-1"><a href="array.html#is_fix-1">is_fix/1</a></li> <li title="map-2"><a href="array.html#map-2">map/2</a></li> <li title="new-0"><a href="array.html#new-0">new/0</a></li> <li title="new-1"><a href="array.html#new-1">new/1</a></li> <li title="new-2"><a href="array.html#new-2">new/2</a></li> <li title="relax-1"><a href="array.html#relax-1">relax/1</a></li> <li title="reset-2"><a href="array.html#reset-2">reset/2</a></li> <li title="resize-1"><a href="array.html#resize-1">resize/1</a></li> <li title="resize-2"><a href="array.html#resize-2">resize/2</a></li> <li title="set-3"><a href="array.html#set-3">set/3</a></li> <li title="size-1"><a href="array.html#size-1">size/1</a></li> <li title="sparse_foldl-3"><a href="array.html#sparse_foldl-3">sparse_foldl/3</a></li> <li title="sparse_foldr-3"><a href="array.html#sparse_foldr-3">sparse_foldr/3</a></li> <li title="sparse_map-2"><a href="array.html#sparse_map-2">sparse_map/2</a></li> <li title="sparse_size-1"><a href="array.html#sparse_size-1">sparse_size/1</a></li> <li title="sparse_to_list-1"><a href="array.html#sparse_to_list-1">sparse_to_list/1</a></li> <li title="sparse_to_orddict-1"><a href="array.html#sparse_to_orddict-1">sparse_to_orddict/1</a></li> <li title="to_list-1"><a href="array.html#to_list-1">to_list/1</a></li> <li title="to_orddict-1"><a href="array.html#to_orddict-1">to_orddict/1</a></li> </ul> </li> <li id="no" title="base64 " expanded="false">base64<ul> <li><a href="base64.html"> Top of manual page </a></li> <li title="encode-1"><a href="base64.html#encode-1">encode/1</a></li> <li title="encode_to_string-1"><a href="base64.html#encode_to_string-1">encode_to_string/1</a></li> <li title="decode-1"><a href="base64.html#decode-1">decode/1</a></li> <li title="decode_to_string-1"><a href="base64.html#decode_to_string-1">decode_to_string/1</a></li> <li title="mime_decode-1"><a href="base64.html#mime_decode-1">mime_decode/1</a></li> <li title="mime_decode_to_string-1"><a href="base64.html#mime_decode_to_string-1">mime_decode_to_string/1</a></li> </ul> </li> <li id="loadscrollpos" title="beam_lib " expanded="true">beam_lib<ul> <li><a href="beam_lib.html"> Top of manual page </a></li> <li title="chunks-2"><a href="beam_lib.html#chunks-2">chunks/2</a></li> <li title="chunks-3"><a href="beam_lib.html#chunks-3">chunks/3</a></li> <li title="version-1"><a href="beam_lib.html#version-1">version/1</a></li> <li title="md5-1"><a href="beam_lib.html#md5-1">md5/1</a></li> <li title="info-1"><a href="beam_lib.html#info-1">info/1</a></li> <li title="cmp-2"><a href="beam_lib.html#cmp-2">cmp/2</a></li> <li title="cmp_dirs-2"><a href="beam_lib.html#cmp_dirs-2">cmp_dirs/2</a></li> <li title="diff_dirs-2"><a href="beam_lib.html#diff_dirs-2">diff_dirs/2</a></li> <li title="strip-1"><a href="beam_lib.html#strip-1">strip/1</a></li> <li title="strip_files-1"><a href="beam_lib.html#strip_files-1">strip_files/1</a></li> <li title="strip_release-1"><a href="beam_lib.html#strip_release-1">strip_release/1</a></li> <li title="format_error-1"><a href="beam_lib.html#format_error-1">format_error/1</a></li> <li title="crypto_key_fun-1"><a href="beam_lib.html#crypto_key_fun-1">crypto_key_fun/1</a></li> <li title="clear_crypto_key_fun-0"><a href="beam_lib.html#clear_crypto_key_fun-0">clear_crypto_key_fun/0</a></li> </ul> </li> <li id="no" title="c " expanded="false">c<ul> <li><a href="c.html"> Top of manual page </a></li> <li title="bt-1"><a href="c.html#bt-1">bt/1</a></li> <li title="c-1"><a href="c.html#c-1">c/1</a></li> <li title="c-2"><a href="c.html#c-2">c/2</a></li> <li title="cd-1"><a href="c.html#cd-1">cd/1</a></li> <li title="flush-0"><a href="c.html#flush-0">flush/0</a></li> <li title="help-0"><a href="c.html#help-0">help/0</a></li> <li title="i-0"><a href="c.html#i-0">i/0</a></li> <li title="ni-0"><a href="c.html#ni-0">ni/0</a></li> <li title="i-3"><a href="c.html#i-3">i/3</a></li> <li title="l-1"><a href="c.html#l-1">l/1</a></li> <li title="lc-1"><a href="c.html#lc-1">lc/1</a></li> <li title="ls-0"><a href="c.html#ls-0">ls/0</a></li> <li title="ls-1"><a href="c.html#ls-1">ls/1</a></li> <li title="m-0"><a href="c.html#m-0">m/0</a></li> <li title="m-1"><a href="c.html#m-1">m/1</a></li> <li title="memory-0"><a href="c.html#memory-0">memory/0</a></li> <li title="memory-1"><a href="c.html#memory-1">memory/1</a></li> <li title="memory-1"><a href="c.html#memory-1">memory/1</a></li> <li title="nc-1"><a href="c.html#nc-1">nc/1</a></li> <li title="nc-2"><a href="c.html#nc-2">nc/2</a></li> <li title="nl-1"><a href="c.html#nl-1">nl/1</a></li> <li title="pid-3"><a href="c.html#pid-3">pid/3</a></li> <li title="pwd-0"><a href="c.html#pwd-0">pwd/0</a></li> <li title="q-0"><a href="c.html#q-0">q/0</a></li> <li title="regs-0"><a href="c.html#regs-0">regs/0</a></li> <li title="nregs-0"><a href="c.html#nregs-0">nregs/0</a></li> <li title="xm-1"><a href="c.html#xm-1">xm/1</a></li> <li title="y-1"><a href="c.html#y-1">y/1</a></li> <li title="y-2"><a href="c.html#y-2">y/2</a></li> </ul> </li> <li id="no" title="calendar " expanded="false">calendar<ul> <li><a href="calendar.html"> Top of manual page </a></li> <li title="date_to_gregorian_days-1"><a href="calendar.html#date_to_gregorian_days-1">date_to_gregorian_days/1</a></li> <li title="date_to_gregorian_days-3"><a href="calendar.html#date_to_gregorian_days-3">date_to_gregorian_days/3</a></li> <li title="datetime_to_gregorian_seconds-1"><a href="calendar.html#datetime_to_gregorian_seconds-1">datetime_to_gregorian_seconds/1</a></li> <li title="day_of_the_week-1"><a href="calendar.html#day_of_the_week-1">day_of_the_week/1</a></li> <li title="day_of_the_week-3"><a href="calendar.html#day_of_the_week-3">day_of_the_week/3</a></li> <li title="gregorian_days_to_date-1"><a href="calendar.html#gregorian_days_to_date-1">gregorian_days_to_date/1</a></li> <li title="gregorian_seconds_to_datetime-1"><a href="calendar.html#gregorian_seconds_to_datetime-1">gregorian_seconds_to_datetime/1</a></li> <li title="is_leap_year-1"><a href="calendar.html#is_leap_year-1">is_leap_year/1</a></li> <li title="last_day_of_the_month-2"><a href="calendar.html#last_day_of_the_month-2">last_day_of_the_month/2</a></li> <li title="local_time-0"><a href="calendar.html#local_time-0">local_time/0</a></li> <li title="local_time_to_universal_time-1"><a href="calendar.html#local_time_to_universal_time-1">local_time_to_universal_time/1</a></li> <li title="local_time_to_universal_time_dst-1"><a href="calendar.html#local_time_to_universal_time_dst-1">local_time_to_universal_time_dst/1</a></li> <li title="now_to_local_time-1"><a href="calendar.html#now_to_local_time-1">now_to_local_time/1</a></li> <li title="now_to_universal_time-1"><a href="calendar.html#now_to_universal_time-1">now_to_universal_time/1</a></li> <li title="now_to_datetime-1"><a href="calendar.html#now_to_datetime-1">now_to_datetime/1</a></li> <li title="seconds_to_daystime-1"><a href="calendar.html#seconds_to_daystime-1">seconds_to_daystime/1</a></li> <li title="seconds_to_time-1"><a href="calendar.html#seconds_to_time-1">seconds_to_time/1</a></li> <li title="time_difference-2"><a href="calendar.html#time_difference-2">time_difference/2</a></li> <li title="time_to_seconds-1"><a href="calendar.html#time_to_seconds-1">time_to_seconds/1</a></li> <li title="universal_time-0"><a href="calendar.html#universal_time-0">universal_time/0</a></li> <li title="universal_time_to_local_time-1"><a href="calendar.html#universal_time_to_local_time-1">universal_time_to_local_time/1</a></li> <li title="valid_date-1"><a href="calendar.html#valid_date-1">valid_date/1</a></li> <li title="valid_date-3"><a href="calendar.html#valid_date-3">valid_date/3</a></li> </ul> </li> <li id="no" title="dets " expanded="false">dets<ul> <li><a href="dets.html"> Top of manual page </a></li> <li title="all-0"><a href="dets.html#all-0">all/0</a></li> <li title="bchunk-2"><a href="dets.html#bchunk-2">bchunk/2</a></li> <li title="close-1"><a href="dets.html#close-1">close/1</a></li> <li title="delete-2"><a href="dets.html#delete-2">delete/2</a></li> <li title="delete_all_objects-1"><a href="dets.html#delete_all_objects-1">delete_all_objects/1</a></li> <li title="delete_object-2"><a href="dets.html#delete_object-2">delete_object/2</a></li> <li title="first-1"><a href="dets.html#first-1">first/1</a></li> <li title="foldl-3"><a href="dets.html#foldl-3">foldl/3</a></li> <li title="foldr-3"><a href="dets.html#foldr-3">foldr/3</a></li> <li title="from_ets-2"><a href="dets.html#from_ets-2">from_ets/2</a></li> <li title="info-1"><a href="dets.html#info-1">info/1</a></li> <li title="info-2"><a href="dets.html#info-2">info/2</a></li> <li title="init_table-2"><a href="dets.html#init_table-2">init_table/2</a></li> <li title="insert-2"><a href="dets.html#insert-2">insert/2</a></li> <li title="insert_new-2"><a href="dets.html#insert_new-2">insert_new/2</a></li> <li title="is_compatible_bchunk_format-2"><a href="dets.html#is_compatible_bchunk_format-2">is_compatible_bchunk_format/2</a></li> <li title="is_dets_file-1"><a href="dets.html#is_dets_file-1">is_dets_file/1</a></li> <li title="lookup-2"><a href="dets.html#lookup-2">lookup/2</a></li> <li title="match-1"><a href="dets.html#match-1">match/1</a></li> <li title="match-2"><a href="dets.html#match-2">match/2</a></li> <li title="match-3"><a href="dets.html#match-3">match/3</a></li> <li title="match_delete-2"><a href="dets.html#match_delete-2">match_delete/2</a></li> <li title="match_object-1"><a href="dets.html#match_object-1">match_object/1</a></li> <li title="match_object-2"><a href="dets.html#match_object-2">match_object/2</a></li> <li title="match_object-3"><a href="dets.html#match_object-3">match_object/3</a></li> <li title="member-2"><a href="dets.html#member-2">member/2</a></li> <li title="next-2"><a href="dets.html#next-2">next/2</a></li> <li title="open_file-1"><a href="dets.html#open_file-1">open_file/1</a></li> <li title="open_file-2"><a href="dets.html#open_file-2">open_file/2</a></li> <li title="pid2name-1"><a href="dets.html#pid2name-1">pid2name/1</a></li> <li title="repair_continuation-2"><a href="dets.html#repair_continuation-2">repair_continuation/2</a></li> <li title="safe_fixtable-2"><a href="dets.html#safe_fixtable-2">safe_fixtable/2</a></li> <li title="select-1"><a href="dets.html#select-1">select/1</a></li> <li title="select-2"><a href="dets.html#select-2">select/2</a></li> <li title="select-3"><a href="dets.html#select-3">select/3</a></li> <li title="select_delete-2"><a href="dets.html#select_delete-2">select_delete/2</a></li> <li title="slot-2"><a href="dets.html#slot-2">slot/2</a></li> <li title="sync-1"><a href="dets.html#sync-1">sync/1</a></li> <li title="table-1"><a href="dets.html#table-1">table/1</a></li> <li title="to_ets-2"><a href="dets.html#to_ets-2">to_ets/2</a></li> <li title="traverse-2"><a href="dets.html#traverse-2">traverse/2</a></li> <li title="update_counter-3"><a href="dets.html#update_counter-3">update_counter/3</a></li> </ul> </li> <li id="no" title="dict " expanded="false">dict<ul> <li><a href="dict.html"> Top of manual page </a></li> <li title="append-3"><a href="dict.html#append-3">append/3</a></li> <li title="append_list-3"><a href="dict.html#append_list-3">append_list/3</a></li> <li title="erase-2"><a href="dict.html#erase-2">erase/2</a></li> <li title="fetch-2"><a href="dict.html#fetch-2">fetch/2</a></li> <li title="fetch_keys-1"><a href="dict.html#fetch_keys-1">fetch_keys/1</a></li> <li title="filter-2"><a href="dict.html#filter-2">filter/2</a></li> <li title="find-2"><a href="dict.html#find-2">find/2</a></li> <li title="fold-3"><a href="dict.html#fold-3">fold/3</a></li> <li title="from_list-1"><a href="dict.html#from_list-1">from_list/1</a></li> <li title="is_key-2"><a href="dict.html#is_key-2">is_key/2</a></li> <li title="map-2"><a href="dict.html#map-2">map/2</a></li> <li title="merge-3"><a href="dict.html#merge-3">merge/3</a></li> <li title="new-0"><a href="dict.html#new-0">new/0</a></li> <li title="size-1"><a href="dict.html#size-1">size/1</a></li> <li title="store-3"><a href="dict.html#store-3">store/3</a></li> <li title="to_list-1"><a href="dict.html#to_list-1">to_list/1</a></li> <li title="update-3"><a href="dict.html#update-3">update/3</a></li> <li title="update-4"><a href="dict.html#update-4">update/4</a></li> <li title="update_counter-3"><a href="dict.html#update_counter-3">update_counter/3</a></li> </ul> </li> <li id="no" title="digraph " expanded="false">digraph<ul> <li><a href="digraph.html"> Top of manual page </a></li> <li title="add_edge-5"><a href="digraph.html#add_edge-5">add_edge/5</a></li> <li title="add_edge-4"><a href="digraph.html#add_edge-4">add_edge/4</a></li> <li title="add_edge-3"><a href="digraph.html#add_edge-3">add_edge/3</a></li> <li title="add_vertex-3"><a href="digraph.html#add_vertex-3">add_vertex/3</a></li> <li title="add_vertex-2"><a href="digraph.html#add_vertex-2">add_vertex/2</a></li> <li title="add_vertex-1"><a href="digraph.html#add_vertex-1">add_vertex/1</a></li> <li title="del_edge-2"><a href="digraph.html#del_edge-2">del_edge/2</a></li> <li title="del_edges-2"><a href="digraph.html#del_edges-2">del_edges/2</a></li> <li title="del_path-3"><a href="digraph.html#del_path-3">del_path/3</a></li> <li title="del_vertex-2"><a href="digraph.html#del_vertex-2">del_vertex/2</a></li> <li title="del_vertices-2"><a href="digraph.html#del_vertices-2">del_vertices/2</a></li> <li title="delete-1"><a href="digraph.html#delete-1">delete/1</a></li> <li title="edge-2"><a href="digraph.html#edge-2">edge/2</a></li> <li title="edges-1"><a href="digraph.html#edges-1">edges/1</a></li> <li title="edges-2"><a href="digraph.html#edges-2">edges/2</a></li> <li title="get_cycle-2"><a href="digraph.html#get_cycle-2">get_cycle/2</a></li> <li title="get_path-3"><a href="digraph.html#get_path-3">get_path/3</a></li> <li title="get_short_cycle-2"><a href="digraph.html#get_short_cycle-2">get_short_cycle/2</a></li> <li title="get_short_path-3"><a href="digraph.html#get_short_path-3">get_short_path/3</a></li> <li title="in_degree-2"><a href="digraph.html#in_degree-2">in_degree/2</a></li> <li title="in_edges-2"><a href="digraph.html#in_edges-2">in_edges/2</a></li> <li title="in_neighbours-2"><a href="digraph.html#in_neighbours-2">in_neighbours/2</a></li> <li title="info-1"><a href="digraph.html#info-1">info/1</a></li> <li title="new-0"><a href="digraph.html#new-0">new/0</a></li> <li title="new-1"><a href="digraph.html#new-1">new/1</a></li> <li title="no_edges-1"><a href="digraph.html#no_edges-1">no_edges/1</a></li> <li title="no_vertices-1"><a href="digraph.html#no_vertices-1">no_vertices/1</a></li> <li title="out_degree-2"><a href="digraph.html#out_degree-2">out_degree/2</a></li> <li title="out_edges-2"><a href="digraph.html#out_edges-2">out_edges/2</a></li> <li title="out_neighbours-2"><a href="digraph.html#out_neighbours-2">out_neighbours/2</a></li> <li title="vertex-2"><a href="digraph.html#vertex-2">vertex/2</a></li> <li title="vertices-1"><a href="digraph.html#vertices-1">vertices/1</a></li> </ul> </li> <li id="no" title="digraph_utils " expanded="false">digraph_utils<ul> <li><a href="digraph_utils.html"> Top of manual page </a></li> <li title="arborescence_root-1"><a href="digraph_utils.html#arborescence_root-1">arborescence_root/1</a></li> <li title="components-1"><a href="digraph_utils.html#components-1">components/1</a></li> <li title="condensation-1"><a href="digraph_utils.html#condensation-1">condensation/1</a></li> <li title="cyclic_strong_components-1"><a href="digraph_utils.html#cyclic_strong_components-1">cyclic_strong_components/1</a></li> <li title="is_acyclic-1"><a href="digraph_utils.html#is_acyclic-1">is_acyclic/1</a></li> <li title="is_arborescence-1"><a href="digraph_utils.html#is_arborescence-1">is_arborescence/1</a></li> <li title="is_tree-1"><a href="digraph_utils.html#is_tree-1">is_tree/1</a></li> <li title="loop_vertices-1"><a href="digraph_utils.html#loop_vertices-1">loop_vertices/1</a></li> <li title="postorder-1"><a href="digraph_utils.html#postorder-1">postorder/1</a></li> <li title="preorder-1"><a href="digraph_utils.html#preorder-1">preorder/1</a></li> <li title="reachable-2"><a href="digraph_utils.html#reachable-2">reachable/2</a></li> <li title="reachable_neighbours-2"><a href="digraph_utils.html#reachable_neighbours-2">reachable_neighbours/2</a></li> <li title="reaching-2"><a 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title="start_link-3"><a href="gen_server.html#start_link-3">start_link/3</a></li> <li title="start_link-4"><a href="gen_server.html#start_link-4">start_link/4</a></li> <li title="start-3"><a href="gen_server.html#start-3">start/3</a></li> <li title="start-4"><a href="gen_server.html#start-4">start/4</a></li> <li title="call-2"><a href="gen_server.html#call-2">call/2</a></li> <li title="call-3"><a href="gen_server.html#call-3">call/3</a></li> <li title="multi_call-2"><a href="gen_server.html#multi_call-2">multi_call/2</a></li> <li title="multi_call-3"><a href="gen_server.html#multi_call-3">multi_call/3</a></li> <li title="multi_call-4"><a href="gen_server.html#multi_call-4">multi_call/4</a></li> <li title="cast-2"><a href="gen_server.html#cast-2">cast/2</a></li> <li title="abcast-2"><a href="gen_server.html#abcast-2">abcast/2</a></li> <li title="abcast-3"><a href="gen_server.html#abcast-3">abcast/3</a></li> <li title="reply-2"><a href="gen_server.html#reply-2">reply/2</a></li> <li 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<li title="foldl-3"><a href="lists.html#foldl-3">foldl/3</a></li> <li title="foldr-3"><a href="lists.html#foldr-3">foldr/3</a></li> <li title="foreach-2"><a href="lists.html#foreach-2">foreach/2</a></li> <li title="keydelete-3"><a href="lists.html#keydelete-3">keydelete/3</a></li> <li title="keyfind-3"><a href="lists.html#keyfind-3">keyfind/3</a></li> <li title="keymap-3"><a href="lists.html#keymap-3">keymap/3</a></li> <li title="keymember-3"><a href="lists.html#keymember-3">keymember/3</a></li> <li title="keymerge-3"><a href="lists.html#keymerge-3">keymerge/3</a></li> <li title="keyreplace-4"><a href="lists.html#keyreplace-4">keyreplace/4</a></li> <li title="keysearch-3"><a href="lists.html#keysearch-3">keysearch/3</a></li> <li title="keysort-2"><a href="lists.html#keysort-2">keysort/2</a></li> <li title="keystore-4"><a href="lists.html#keystore-4">keystore/4</a></li> <li title="keytake-3"><a href="lists.html#keytake-3">keytake/3</a></li> <li title="last-1"><a href="lists.html#last-1">last/1</a></li> <li title="map-2"><a href="lists.html#map-2">map/2</a></li> <li title="mapfoldl-3"><a href="lists.html#mapfoldl-3">mapfoldl/3</a></li> <li title="mapfoldr-3"><a href="lists.html#mapfoldr-3">mapfoldr/3</a></li> <li title="max-1"><a href="lists.html#max-1">max/1</a></li> <li title="member-2"><a href="lists.html#member-2">member/2</a></li> <li title="merge-1"><a href="lists.html#merge-1">merge/1</a></li> <li title="merge-2"><a href="lists.html#merge-2">merge/2</a></li> <li title="merge-3"><a href="lists.html#merge-3">merge/3</a></li> <li title="merge3-3"><a href="lists.html#merge3-3">merge3/3</a></li> <li title="min-1"><a href="lists.html#min-1">min/1</a></li> <li title="nth-2"><a href="lists.html#nth-2">nth/2</a></li> <li title="nthtail-2"><a href="lists.html#nthtail-2">nthtail/2</a></li> <li title="partition-2"><a href="lists.html#partition-2">partition/2</a></li> <li title="prefix-2"><a href="lists.html#prefix-2">prefix/2</a></li> <li title="reverse-1"><a href="lists.html#reverse-1">reverse/1</a></li> <li title="reverse-2"><a href="lists.html#reverse-2">reverse/2</a></li> <li title="seq-2"><a href="lists.html#seq-2">seq/2</a></li> <li title="seq-3"><a href="lists.html#seq-3">seq/3</a></li> <li title="sort-1"><a href="lists.html#sort-1">sort/1</a></li> <li title="sort-2"><a href="lists.html#sort-2">sort/2</a></li> <li title="split-2"><a href="lists.html#split-2">split/2</a></li> <li title="splitwith-2"><a href="lists.html#splitwith-2">splitwith/2</a></li> <li title="sublist-2"><a href="lists.html#sublist-2">sublist/2</a></li> <li title="sublist-3"><a href="lists.html#sublist-3">sublist/3</a></li> <li title="subtract-2"><a href="lists.html#subtract-2">subtract/2</a></li> <li title="suffix-2"><a href="lists.html#suffix-2">suffix/2</a></li> <li title="sum-1"><a href="lists.html#sum-1">sum/1</a></li> <li title="takewhile-2"><a href="lists.html#takewhile-2">takewhile/2</a></li> <li title="ukeymerge-3"><a href="lists.html#ukeymerge-3">ukeymerge/3</a></li> <li title="ukeysort-2"><a href="lists.html#ukeysort-2">ukeysort/2</a></li> <li title="umerge-1"><a href="lists.html#umerge-1">umerge/1</a></li> <li title="umerge-2"><a href="lists.html#umerge-2">umerge/2</a></li> <li title="umerge-3"><a href="lists.html#umerge-3">umerge/3</a></li> <li title="umerge3-3"><a href="lists.html#umerge3-3">umerge3/3</a></li> <li title="unzip-1"><a href="lists.html#unzip-1">unzip/1</a></li> <li title="unzip3-1"><a href="lists.html#unzip3-1">unzip3/1</a></li> <li title="usort-1"><a href="lists.html#usort-1">usort/1</a></li> <li title="usort-2"><a href="lists.html#usort-2">usort/2</a></li> <li title="zip-2"><a href="lists.html#zip-2">zip/2</a></li> <li title="zip3-3"><a href="lists.html#zip3-3">zip3/3</a></li> <li title="zipwith-3"><a href="lists.html#zipwith-3">zipwith/3</a></li> <li title="zipwith3-4"><a href="lists.html#zipwith3-4">zipwith3/4</a></li> </ul> </li> <li id="no" title="log_mf_h " expanded="false">log_mf_h<ul> <li><a href="log_mf_h.html"> Top of manual page </a></li> <li title="init-3"><a href="log_mf_h.html#init-3">init/3</a></li> <li title="init-4"><a href="log_mf_h.html#init-4">init/4</a></li> </ul> </li> <li id="no" title="math " expanded="false">math<ul> <li><a href="math.html"> Top of manual page </a></li> <li title="pi-0"><a href="math.html#pi-0">pi/0</a></li> <li title="sin-1"><a href="math.html#sin-1">sin/1</a></li> <li title="cos-1"><a href="math.html#cos-1">cos/1</a></li> <li title="tan-1"><a href="math.html#tan-1">tan/1</a></li> <li title="asin-1"><a href="math.html#asin-1">asin/1</a></li> <li title="acos-1"><a href="math.html#acos-1">acos/1</a></li> <li title="atan-1"><a href="math.html#atan-1">atan/1</a></li> <li title="atan2-2"><a href="math.html#atan2-2">atan2/2</a></li> <li title="sinh-1"><a href="math.html#sinh-1">sinh/1</a></li> <li title="cosh-1"><a href="math.html#cosh-1">cosh/1</a></li> <li title="tanh-1"><a href="math.html#tanh-1">tanh/1</a></li> <li title="asinh-1"><a href="math.html#asinh-1">asinh/1</a></li> <li title="acosh-1"><a href="math.html#acosh-1">acosh/1</a></li> <li title="atanh-1"><a href="math.html#atanh-1">atanh/1</a></li> <li title="exp-1"><a href="math.html#exp-1">exp/1</a></li> <li title="log-1"><a href="math.html#log-1">log/1</a></li> <li title="log10-1"><a href="math.html#log10-1">log10/1</a></li> <li title="pow-2"><a href="math.html#pow-2">pow/2</a></li> <li title="sqrt-1"><a href="math.html#sqrt-1">sqrt/1</a></li> <li title="erf-1"><a href="math.html#erf-1">erf/1</a></li> <li title="erfc-1"><a href="math.html#erfc-1">erfc/1</a></li> </ul> </li> <li id="no" title="ms_transform " expanded="false">ms_transform<ul> <li><a href="ms_transform.html"> Top of manual page </a></li> <li title="parse_transform-2"><a href="ms_transform.html#parse_transform-2">parse_transform/2</a></li> <li title="transform_from_shell-3"><a href="ms_transform.html#transform_from_shell-3">transform_from_shell/3</a></li> <li title="format_error-1"><a href="ms_transform.html#format_error-1">format_error/1</a></li> </ul> </li> <li id="no" title="orddict " expanded="false">orddict<ul> <li><a href="orddict.html"> Top of manual page </a></li> <li title="append-3"><a href="orddict.html#append-3">append/3</a></li> <li title="append_list-3"><a href="orddict.html#append_list-3">append_list/3</a></li> <li title="erase-2"><a href="orddict.html#erase-2">erase/2</a></li> <li title="fetch-2"><a href="orddict.html#fetch-2">fetch/2</a></li> <li title="fetch_keys-1"><a href="orddict.html#fetch_keys-1">fetch_keys/1</a></li> <li title="filter-2"><a href="orddict.html#filter-2">filter/2</a></li> <li title="find-2"><a href="orddict.html#find-2">find/2</a></li> <li title="fold-3"><a href="orddict.html#fold-3">fold/3</a></li> <li title="from_list-1"><a href="orddict.html#from_list-1">from_list/1</a></li> <li title="is_key-2"><a href="orddict.html#is_key-2">is_key/2</a></li> <li title="map-2"><a href="orddict.html#map-2">map/2</a></li> <li title="merge-3"><a href="orddict.html#merge-3">merge/3</a></li> <li title="new-0"><a href="orddict.html#new-0">new/0</a></li> <li title="size-1"><a href="orddict.html#size-1">size/1</a></li> <li title="store-3"><a href="orddict.html#store-3">store/3</a></li> <li title="to_list-1"><a href="orddict.html#to_list-1">to_list/1</a></li> <li title="update-3"><a href="orddict.html#update-3">update/3</a></li> <li title="update-4"><a href="orddict.html#update-4">update/4</a></li> <li title="update_counter-3"><a href="orddict.html#update_counter-3">update_counter/3</a></li> </ul> </li> <li id="no" title="ordsets " expanded="false">ordsets<ul> <li><a href="ordsets.html"> Top of manual page </a></li> <li title="new-0"><a href="ordsets.html#new-0">new/0</a></li> <li title="is_set-1"><a href="ordsets.html#is_set-1">is_set/1</a></li> <li title="size-1"><a href="ordsets.html#size-1">size/1</a></li> <li title="to_list-1"><a href="ordsets.html#to_list-1">to_list/1</a></li> <li title="from_list-1"><a href="ordsets.html#from_list-1">from_list/1</a></li> <li title="is_element-2"><a href="ordsets.html#is_element-2">is_element/2</a></li> <li title="add_element-2"><a href="ordsets.html#add_element-2">add_element/2</a></li> <li title="del_element-2"><a href="ordsets.html#del_element-2">del_element/2</a></li> <li title="union-2"><a href="ordsets.html#union-2">union/2</a></li> <li title="union-1"><a href="ordsets.html#union-1">union/1</a></li> <li title="intersection-2"><a href="ordsets.html#intersection-2">intersection/2</a></li> <li title="intersection-1"><a href="ordsets.html#intersection-1">intersection/1</a></li> <li title="is_disjoint-2"><a href="ordsets.html#is_disjoint-2">is_disjoint/2</a></li> <li title="subtract-2"><a href="ordsets.html#subtract-2">subtract/2</a></li> <li title="is_subset-2"><a href="ordsets.html#is_subset-2">is_subset/2</a></li> <li title="fold-3"><a href="ordsets.html#fold-3">fold/3</a></li> <li title="filter-2"><a href="ordsets.html#filter-2">filter/2</a></li> </ul> </li> <li id="no" title="pg " expanded="false">pg<ul> <li><a href="pg.html"> Top of manual page </a></li> <li title="create-1"><a href="pg.html#create-1">create/1</a></li> <li title="create-2"><a href="pg.html#create-2">create/2</a></li> <li title="join-2"><a href="pg.html#join-2">join/2</a></li> <li title="send-2"><a href="pg.html#send-2">send/2</a></li> <li title="esend-2"><a href="pg.html#esend-2">esend/2</a></li> <li title="members-1"><a href="pg.html#members-1">members/1</a></li> </ul> </li> <li id="no" title="pool " expanded="false">pool<ul> <li><a href="pool.html"> Top of manual page </a></li> <li title="start-1"><a href="pool.html#start-1">start/1</a></li> <li title="start-2"><a href="pool.html#start-2">start/2</a></li> <li title="attach-1"><a href="pool.html#attach-1">attach/1</a></li> <li title="stop-0"><a href="pool.html#stop-0">stop/0</a></li> <li title="get_nodes-0"><a href="pool.html#get_nodes-0">get_nodes/0</a></li> <li title="pspawn-3"><a href="pool.html#pspawn-3">pspawn/3</a></li> <li title="pspawn_link-3"><a href="pool.html#pspawn_link-3">pspawn_link/3</a></li> <li title="get_node-0"><a href="pool.html#get_node-0">get_node/0</a></li> </ul> </li> <li id="no" title="proc_lib " expanded="false">proc_lib<ul> <li><a href="proc_lib.html"> Top of manual page </a></li> <li title="spawn-1"><a href="proc_lib.html#spawn-1">spawn/1</a></li> <li title="spawn-2"><a href="proc_lib.html#spawn-2">spawn/2</a></li> <li title="spawn-3"><a href="proc_lib.html#spawn-3">spawn/3</a></li> <li title="spawn-4"><a href="proc_lib.html#spawn-4">spawn/4</a></li> <li title="spawn_link-1"><a href="proc_lib.html#spawn_link-1">spawn_link/1</a></li> <li title="spawn_link-2"><a href="proc_lib.html#spawn_link-2">spawn_link/2</a></li> <li title="spawn_link-3"><a href="proc_lib.html#spawn_link-3">spawn_link/3</a></li> <li title="spawn_link-4"><a href="proc_lib.html#spawn_link-4">spawn_link/4</a></li> <li title="spawn_opt-2"><a href="proc_lib.html#spawn_opt-2">spawn_opt/2</a></li> <li title="spawn_opt-3"><a href="proc_lib.html#spawn_opt-3">spawn_opt/3</a></li> <li title="spawn_opt-4"><a href="proc_lib.html#spawn_opt-4">spawn_opt/4</a></li> <li title="spawn_opt-5"><a href="proc_lib.html#spawn_opt-5">spawn_opt/5</a></li> <li title="start-3"><a href="proc_lib.html#start-3">start/3</a></li> <li title="start-4"><a href="proc_lib.html#start-4">start/4</a></li> <li title="start-5"><a href="proc_lib.html#start-5">start/5</a></li> <li title="start_link-3"><a href="proc_lib.html#start_link-3">start_link/3</a></li> <li title="start_link-4"><a href="proc_lib.html#start_link-4">start_link/4</a></li> <li title="start_link-5"><a href="proc_lib.html#start_link-5">start_link/5</a></li> <li title="init_ack-2"><a href="proc_lib.html#init_ack-2">init_ack/2</a></li> <li title="init_ack-1"><a href="proc_lib.html#init_ack-1">init_ack/1</a></li> <li title="format-1"><a href="proc_lib.html#format-1">format/1</a></li> <li title="initial_call-1"><a href="proc_lib.html#initial_call-1">initial_call/1</a></li> <li title="translate_initial_call-1"><a href="proc_lib.html#translate_initial_call-1">translate_initial_call/1</a></li> <li title="hibernate-3"><a href="proc_lib.html#hibernate-3">hibernate/3</a></li> </ul> </li> <li id="no" title="proplists " expanded="false">proplists<ul> <li><a href="proplists.html"> Top of manual page </a></li> <li title="append_values-2"><a href="proplists.html#append_values-2">append_values/2</a></li> <li title="compact-1"><a href="proplists.html#compact-1">compact/1</a></li> <li title="delete-2"><a href="proplists.html#delete-2">delete/2</a></li> <li title="expand-2"><a href="proplists.html#expand-2">expand/2</a></li> <li title="get_all_values-2"><a href="proplists.html#get_all_values-2">get_all_values/2</a></li> <li title="get_bool-2"><a href="proplists.html#get_bool-2">get_bool/2</a></li> <li title="get_keys-1"><a href="proplists.html#get_keys-1">get_keys/1</a></li> <li title="get_value-2"><a href="proplists.html#get_value-2">get_value/2</a></li> <li title="get_value-3"><a href="proplists.html#get_value-3">get_value/3</a></li> <li title="is_defined-2"><a href="proplists.html#is_defined-2">is_defined/2</a></li> <li title="lookup-2"><a href="proplists.html#lookup-2">lookup/2</a></li> <li title="lookup_all-2"><a href="proplists.html#lookup_all-2">lookup_all/2</a></li> <li title="normalize-2"><a href="proplists.html#normalize-2">normalize/2</a></li> <li title="property-1"><a href="proplists.html#property-1">property/1</a></li> <li title="property-2"><a href="proplists.html#property-2">property/2</a></li> <li title="split-2"><a href="proplists.html#split-2">split/2</a></li> <li title="substitute_aliases-2"><a href="proplists.html#substitute_aliases-2">substitute_aliases/2</a></li> <li title="substitute_negations-2"><a href="proplists.html#substitute_negations-2">substitute_negations/2</a></li> <li title="unfold-1"><a href="proplists.html#unfold-1">unfold/1</a></li> </ul> </li> <li id="no" title="qlc " expanded="false">qlc<ul> <li><a href="qlc.html"> Top of manual page </a></li> <li title="append-1"><a href="qlc.html#append-1">append/1</a></li> <li title="append-2"><a href="qlc.html#append-2">append/2</a></li> <li title="cursor-1"><a href="qlc.html#cursor-1">cursor/1</a></li> <li title="delete_cursor-1"><a href="qlc.html#delete_cursor-1">delete_cursor/1</a></li> <li title="eval-1"><a href="qlc.html#eval-1">eval/1</a></li> <li title="e-1"><a href="qlc.html#e-1">e/1</a></li> <li title="fold-3"><a href="qlc.html#fold-3">fold/3</a></li> <li title="format_error-1"><a href="qlc.html#format_error-1">format_error/1</a></li> <li title="info-1"><a href="qlc.html#info-1">info/1</a></li> <li title="keysort-2"><a href="qlc.html#keysort-2">keysort/2</a></li> <li title="next_answers-1"><a href="qlc.html#next_answers-1">next_answers/1</a></li> <li title="q-1"><a href="qlc.html#q-1">q/1</a></li> <li title="sort-1"><a href="qlc.html#sort-1">sort/1</a></li> <li title="string_to_handle-1"><a href="qlc.html#string_to_handle-1">string_to_handle/1</a></li> <li title="table-2"><a href="qlc.html#table-2">table/2</a></li> </ul> </li> <li id="no" title="queue " expanded="false">queue<ul> <li><a href="queue.html"> Top of manual page </a></li> <li title="new-0"><a href="queue.html#new-0">new/0</a></li> <li title="is_queue-1"><a href="queue.html#is_queue-1">is_queue/1</a></li> <li title="is_empty-1"><a href="queue.html#is_empty-1">is_empty/1</a></li> <li title="len-1"><a href="queue.html#len-1">len/1</a></li> <li title="in-2"><a href="queue.html#in-2">in/2</a></li> <li title="in_r-2"><a href="queue.html#in_r-2">in_r/2</a></li> <li title="out-1"><a href="queue.html#out-1">out/1</a></li> <li title="out_r-1"><a href="queue.html#out_r-1">out_r/1</a></li> <li title="from_list-1"><a href="queue.html#from_list-1">from_list/1</a></li> <li title="to_list-1"><a href="queue.html#to_list-1">to_list/1</a></li> <li title="reverse-1"><a href="queue.html#reverse-1">reverse/1</a></li> <li title="split-2"><a href="queue.html#split-2">split/2</a></li> <li title="join-2"><a href="queue.html#join-2">join/2</a></li> <li title="filter-2"><a href="queue.html#filter-2">filter/2</a></li> <li title="member-2"><a href="queue.html#member-2">member/2</a></li> <li title="get-1"><a href="queue.html#get-1">get/1</a></li> <li title="get_r-1"><a href="queue.html#get_r-1">get_r/1</a></li> <li title="drop-1"><a href="queue.html#drop-1">drop/1</a></li> <li title="drop_r-1"><a href="queue.html#drop_r-1">drop_r/1</a></li> <li title="peek-1"><a href="queue.html#peek-1">peek/1</a></li> <li title="peek_r-1"><a href="queue.html#peek_r-1">peek_r/1</a></li> <li title="cons-2"><a href="queue.html#cons-2">cons/2</a></li> <li title="head-1"><a href="queue.html#head-1">head/1</a></li> <li title="tail-1"><a href="queue.html#tail-1">tail/1</a></li> <li title="snoc-2"><a href="queue.html#snoc-2">snoc/2</a></li> <li title="daeh-1"><a href="queue.html#daeh-1">daeh/1</a></li> <li title="last-1"><a href="queue.html#last-1">last/1</a></li> <li title="liat-1"><a href="queue.html#liat-1">liat/1</a></li> <li title="init-1"><a href="queue.html#init-1">init/1</a></li> <li title="lait-1"><a href="queue.html#lait-1">lait/1</a></li> </ul> </li> <li id="no" title="random " expanded="false">random<ul> <li><a href="random.html"> Top of manual page </a></li> <li title="seed-0"><a href="random.html#seed-0">seed/0</a></li> <li title="seed-3"><a href="random.html#seed-3">seed/3</a></li> <li title="seed-1"><a href="random.html#seed-1">seed/1</a></li> <li title="seed0-0"><a href="random.html#seed0-0">seed0/0</a></li> <li title="uniform-0"><a href="random.html#uniform-0">uniform/0</a></li> <li title="uniform-1"><a href="random.html#uniform-1">uniform/1</a></li> <li title="uniform_s-1"><a href="random.html#uniform_s-1">uniform_s/1</a></li> <li title="uniform_s-2"><a href="random.html#uniform_s-2">uniform_s/2</a></li> </ul> </li> <li id="no" title="re " expanded="false">re<ul> <li><a href="re.html"> Top of manual page </a></li> <li title="compile-1"><a href="re.html#compile-1">compile/1</a></li> <li title="compile-2"><a href="re.html#compile-2">compile/2</a></li> <li title="run-2"><a href="re.html#run-2">run/2</a></li> <li title="run-3"><a href="re.html#run-3">run/3</a></li> <li title="replace-3"><a href="re.html#replace-3">replace/3</a></li> <li title="replace-4"><a href="re.html#replace-4">replace/4</a></li> <li title="split-2"><a href="re.html#split-2">split/2</a></li> <li title="split-3"><a href="re.html#split-3">split/3</a></li> </ul> </li> <li id="no" title="regexp " expanded="false">regexp<ul> <li><a href="regexp.html"> Top of manual page </a></li> <li title="match-2"><a href="regexp.html#match-2">match/2</a></li> <li title="first_match-2"><a href="regexp.html#first_match-2">first_match/2</a></li> <li title="matches-2"><a href="regexp.html#matches-2">matches/2</a></li> <li title="sub-3"><a href="regexp.html#sub-3">sub/3</a></li> <li title="gsub-3"><a href="regexp.html#gsub-3">gsub/3</a></li> <li title="split-2"><a href="regexp.html#split-2">split/2</a></li> <li title="sh_to_awk-1"><a href="regexp.html#sh_to_awk-1">sh_to_awk/1</a></li> <li title="parse-1"><a href="regexp.html#parse-1">parse/1</a></li> <li title="format_error-1"><a href="regexp.html#format_error-1">format_error/1</a></li> </ul> </li> <li id="no" title="sets " expanded="false">sets<ul> <li><a href="sets.html"> Top of manual page </a></li> <li title="new-0"><a href="sets.html#new-0">new/0</a></li> <li title="is_set-1"><a href="sets.html#is_set-1">is_set/1</a></li> <li title="size-1"><a href="sets.html#size-1">size/1</a></li> <li title="to_list-1"><a href="sets.html#to_list-1">to_list/1</a></li> <li title="from_list-1"><a href="sets.html#from_list-1">from_list/1</a></li> <li title="is_element-2"><a href="sets.html#is_element-2">is_element/2</a></li> <li title="add_element-2"><a href="sets.html#add_element-2">add_element/2</a></li> <li title="del_element-2"><a href="sets.html#del_element-2">del_element/2</a></li> <li title="union-2"><a href="sets.html#union-2">union/2</a></li> <li title="union-1"><a href="sets.html#union-1">union/1</a></li> <li title="intersection-2"><a href="sets.html#intersection-2">intersection/2</a></li> <li title="intersection-1"><a href="sets.html#intersection-1">intersection/1</a></li> <li title="is_disjoint-2"><a href="sets.html#is_disjoint-2">is_disjoint/2</a></li> <li title="subtract-2"><a href="sets.html#subtract-2">subtract/2</a></li> <li title="is_subset-2"><a href="sets.html#is_subset-2">is_subset/2</a></li> <li title="fold-3"><a href="sets.html#fold-3">fold/3</a></li> <li title="filter-2"><a href="sets.html#filter-2">filter/2</a></li> </ul> </li> <li id="no" title="shell " expanded="false">shell<ul> <li><a href="shell.html"> Top of manual page </a></li> <li title="history-1"><a href="shell.html#history-1">history/1</a></li> <li title="results-1"><a href="shell.html#results-1">results/1</a></li> <li title="catch_exception-1"><a href="shell.html#catch_exception-1">catch_exception/1</a></li> <li title="prompt_func-1"><a href="shell.html#prompt_func-1">prompt_func/1</a></li> <li title="start_restricted-1"><a href="shell.html#start_restricted-1">start_restricted/1</a></li> <li title="stop_restricted-0"><a href="shell.html#stop_restricted-0">stop_restricted/0</a></li> </ul> </li> <li title="shell_default"><a href="shell_default.html">shell_default</a></li> <li id="no" title="slave " expanded="false">slave<ul> <li><a href="slave.html"> Top of manual page </a></li> <li title="start-1"><a href="slave.html#start-1">start/1</a></li> <li title="start-2"><a href="slave.html#start-2">start/2</a></li> <li title="start-3"><a href="slave.html#start-3">start/3</a></li> <li title="start_link-1"><a href="slave.html#start_link-1">start_link/1</a></li> <li title="start_link-2"><a href="slave.html#start_link-2">start_link/2</a></li> <li title="start_link-3"><a href="slave.html#start_link-3">start_link/3</a></li> <li title="stop-1"><a href="slave.html#stop-1">stop/1</a></li> <li title="pseudo-1"><a href="slave.html#pseudo-1">pseudo/1</a></li> <li title="pseudo-2"><a href="slave.html#pseudo-2">pseudo/2</a></li> <li title="relay-1"><a href="slave.html#relay-1">relay/1</a></li> </ul> </li> <li id="no" title="sofs " expanded="false">sofs<ul> <li><a href="sofs.html"> Top of manual page </a></li> <li title="a_function-1"><a href="sofs.html#a_function-1">a_function/1</a></li> <li title="canonical_relation-1"><a href="sofs.html#canonical_relation-1">canonical_relation/1</a></li> <li title="composite-2"><a href="sofs.html#composite-2">composite/2</a></li> <li title="constant_function-2"><a href="sofs.html#constant_function-2">constant_function/2</a></li> <li title="converse-1"><a href="sofs.html#converse-1">converse/1</a></li> <li title="difference-2"><a href="sofs.html#difference-2">difference/2</a></li> <li title="digraph_to_family-1"><a href="sofs.html#digraph_to_family-1">digraph_to_family/1</a></li> <li title="domain-1"><a href="sofs.html#domain-1">domain/1</a></li> <li title="drestriction-2"><a href="sofs.html#drestriction-2">drestriction/2</a></li> <li title="drestriction-3"><a href="sofs.html#drestriction-3">drestriction/3</a></li> <li title="empty_set-0"><a href="sofs.html#empty_set-0">empty_set/0</a></li> <li title="extension-3"><a href="sofs.html#extension-3">extension/3</a></li> <li title="family-1"><a href="sofs.html#family-1">family/1</a></li> <li title="family_difference-2"><a href="sofs.html#family_difference-2">family_difference/2</a></li> <li title="family_domain-1"><a href="sofs.html#family_domain-1">family_domain/1</a></li> <li title="family_field-1"><a href="sofs.html#family_field-1">family_field/1</a></li> <li title="family_intersection-1"><a href="sofs.html#family_intersection-1">family_intersection/1</a></li> <li title="family_intersection-2"><a href="sofs.html#family_intersection-2">family_intersection/2</a></li> <li title="family_projection-2"><a href="sofs.html#family_projection-2">family_projection/2</a></li> <li title="family_range-1"><a href="sofs.html#family_range-1">family_range/1</a></li> <li title="family_specification-2"><a href="sofs.html#family_specification-2">family_specification/2</a></li> <li title="family_to_digraph-1"><a href="sofs.html#family_to_digraph-1">family_to_digraph/1</a></li> <li title="family_to_relation-1"><a href="sofs.html#family_to_relation-1">family_to_relation/1</a></li> <li title="family_union-1"><a href="sofs.html#family_union-1">family_union/1</a></li> <li title="family_union-2"><a href="sofs.html#family_union-2">family_union/2</a></li> <li title="field-1"><a href="sofs.html#field-1">field/1</a></li> <li title="from_external-2"><a href="sofs.html#from_external-2">from_external/2</a></li> <li title="from_sets-1"><a href="sofs.html#from_sets-1">from_sets/1</a></li> <li title="from_sets-1"><a href="sofs.html#from_sets-1">from_sets/1</a></li> <li title="from_term-1"><a href="sofs.html#from_term-1">from_term/1</a></li> <li title="image-2"><a href="sofs.html#image-2">image/2</a></li> <li title="intersection-1"><a href="sofs.html#intersection-1">intersection/1</a></li> <li title="intersection-2"><a href="sofs.html#intersection-2">intersection/2</a></li> <li title="intersection_of_family-1"><a href="sofs.html#intersection_of_family-1">intersection_of_family/1</a></li> <li title="inverse-1"><a href="sofs.html#inverse-1">inverse/1</a></li> <li title="inverse_image-2"><a href="sofs.html#inverse_image-2">inverse_image/2</a></li> <li title="is_a_function-1"><a href="sofs.html#is_a_function-1">is_a_function/1</a></li> <li title="is_disjoint-2"><a href="sofs.html#is_disjoint-2">is_disjoint/2</a></li> <li title="is_empty_set-1"><a href="sofs.html#is_empty_set-1">is_empty_set/1</a></li> <li title="is_equal-2"><a href="sofs.html#is_equal-2">is_equal/2</a></li> <li title="is_set-1"><a href="sofs.html#is_set-1">is_set/1</a></li> <li title="is_sofs_set-1"><a href="sofs.html#is_sofs_set-1">is_sofs_set/1</a></li> <li title="is_subset-2"><a href="sofs.html#is_subset-2">is_subset/2</a></li> <li title="is_type-1"><a href="sofs.html#is_type-1">is_type/1</a></li> <li title="join-4"><a href="sofs.html#join-4">join/4</a></li> <li title="multiple_relative_product-2"><a href="sofs.html#multiple_relative_product-2">multiple_relative_product/2</a></li> <li title="no_elements-1"><a href="sofs.html#no_elements-1">no_elements/1</a></li> <li title="partition-1"><a href="sofs.html#partition-1">partition/1</a></li> <li title="partition-2"><a href="sofs.html#partition-2">partition/2</a></li> <li title="partition-3"><a href="sofs.html#partition-3">partition/3</a></li> <li title="partition_family-2"><a href="sofs.html#partition_family-2">partition_family/2</a></li> <li title="product-1"><a href="sofs.html#product-1">product/1</a></li> <li title="product-2"><a href="sofs.html#product-2">product/2</a></li> <li title="projection-2"><a href="sofs.html#projection-2">projection/2</a></li> <li title="range-1"><a href="sofs.html#range-1">range/1</a></li> <li title="relation-1"><a href="sofs.html#relation-1">relation/1</a></li> <li title="relation_to_family-1"><a href="sofs.html#relation_to_family-1">relation_to_family/1</a></li> <li title="relative_product-1"><a href="sofs.html#relative_product-1">relative_product/1</a></li> <li title="relative_product-2"><a href="sofs.html#relative_product-2">relative_product/2</a></li> <li title="relative_product1-2"><a href="sofs.html#relative_product1-2">relative_product1/2</a></li> <li title="restriction-2"><a href="sofs.html#restriction-2">restriction/2</a></li> <li title="restriction-3"><a href="sofs.html#restriction-3">restriction/3</a></li> <li title="set-1"><a href="sofs.html#set-1">set/1</a></li> <li title="specification-2"><a href="sofs.html#specification-2">specification/2</a></li> <li title="strict_relation-1"><a href="sofs.html#strict_relation-1">strict_relation/1</a></li> <li title="substitution-2"><a href="sofs.html#substitution-2">substitution/2</a></li> <li title="symdiff-2"><a href="sofs.html#symdiff-2">symdiff/2</a></li> <li title="symmetric_partition-2"><a href="sofs.html#symmetric_partition-2">symmetric_partition/2</a></li> <li title="to_external-1"><a href="sofs.html#to_external-1">to_external/1</a></li> <li title="to_sets-1"><a href="sofs.html#to_sets-1">to_sets/1</a></li> <li title="type-1"><a href="sofs.html#type-1">type/1</a></li> <li title="union-1"><a href="sofs.html#union-1">union/1</a></li> <li title="union-2"><a href="sofs.html#union-2">union/2</a></li> <li title="union_of_family-1"><a href="sofs.html#union_of_family-1">union_of_family/1</a></li> <li title="weak_relation-1"><a href="sofs.html#weak_relation-1">weak_relation/1</a></li> </ul> </li> <li id="no" title="string " expanded="false">string<ul> <li><a href="string.html"> Top of manual page </a></li> <li title="len-1"><a href="string.html#len-1">len/1</a></li> <li title="equal-2"><a href="string.html#equal-2">equal/2</a></li> <li title="concat-2"><a href="string.html#concat-2">concat/2</a></li> <li title="chr-2"><a href="string.html#chr-2">chr/2</a></li> <li title="rchr-2"><a href="string.html#rchr-2">rchr/2</a></li> <li title="str-2"><a href="string.html#str-2">str/2</a></li> <li title="rstr-2"><a href="string.html#rstr-2">rstr/2</a></li> <li title="span-2"><a href="string.html#span-2">span/2</a></li> <li title="cspan-2"><a href="string.html#cspan-2">cspan/2</a></li> <li title="substr-2"><a href="string.html#substr-2">substr/2</a></li> <li title="substr-3"><a href="string.html#substr-3">substr/3</a></li> <li title="tokens-2"><a href="string.html#tokens-2">tokens/2</a></li> <li title="join-2"><a href="string.html#join-2">join/2</a></li> <li title="chars-2"><a href="string.html#chars-2">chars/2</a></li> <li title="chars-3"><a href="string.html#chars-3">chars/3</a></li> <li title="copies-2"><a href="string.html#copies-2">copies/2</a></li> <li title="words-1"><a href="string.html#words-1">words/1</a></li> <li title="words-2"><a href="string.html#words-2">words/2</a></li> <li title="sub_word-2"><a href="string.html#sub_word-2">sub_word/2</a></li> <li title="sub_word-3"><a href="string.html#sub_word-3">sub_word/3</a></li> <li title="strip-1"><a href="string.html#strip-1">strip/1</a></li> <li title="strip-2"><a href="string.html#strip-2">strip/2</a></li> <li title="strip-3"><a href="string.html#strip-3">strip/3</a></li> <li title="left-2"><a href="string.html#left-2">left/2</a></li> <li title="left-3"><a href="string.html#left-3">left/3</a></li> <li title="right-2"><a href="string.html#right-2">right/2</a></li> <li title="right-3"><a href="string.html#right-3">right/3</a></li> <li title="centre-2"><a href="string.html#centre-2">centre/2</a></li> <li title="centre-3"><a href="string.html#centre-3">centre/3</a></li> <li title="sub_string-2"><a href="string.html#sub_string-2">sub_string/2</a></li> <li title="sub_string-3"><a href="string.html#sub_string-3">sub_string/3</a></li> <li title="to_float-1"><a href="string.html#to_float-1">to_float/1</a></li> <li title="to_integer-1"><a href="string.html#to_integer-1">to_integer/1</a></li> <li title="to_lower-1"><a href="string.html#to_lower-1">to_lower/1</a></li> <li title="to_lower-1"><a href="string.html#to_lower-1">to_lower/1</a></li> <li title="to_upper-1"><a href="string.html#to_upper-1">to_upper/1</a></li> <li title="to_upper-1"><a href="string.html#to_upper-1">to_upper/1</a></li> </ul> </li> <li id="no" title="supervisor " expanded="false">supervisor<ul> <li><a href="supervisor.html"> Top of manual page </a></li> <li title="start_link-2"><a href="supervisor.html#start_link-2">start_link/2</a></li> <li title="start_link-3"><a href="supervisor.html#start_link-3">start_link/3</a></li> <li title="start_child-2"><a href="supervisor.html#start_child-2">start_child/2</a></li> <li title="terminate_child-2"><a href="supervisor.html#terminate_child-2">terminate_child/2</a></li> <li title="delete_child-2"><a href="supervisor.html#delete_child-2">delete_child/2</a></li> <li title="restart_child-2"><a href="supervisor.html#restart_child-2">restart_child/2</a></li> <li title="which_children-1"><a href="supervisor.html#which_children-1">which_children/1</a></li> <li title="count_children-1"><a href="supervisor.html#count_children-1">count_children/1</a></li> <li title="check_childspecs-1"><a href="supervisor.html#check_childspecs-1">check_childspecs/1</a></li> <li title="Module:init-1"><a href="supervisor.html#Module:init-1">Module:init/1</a></li> </ul> </li> <li id="no" title="supervisor_bridge " expanded="false">supervisor_bridge<ul> <li><a href="supervisor_bridge.html"> Top of manual page </a></li> <li title="start_link-2"><a href="supervisor_bridge.html#start_link-2">start_link/2</a></li> <li title="start_link-3"><a href="supervisor_bridge.html#start_link-3">start_link/3</a></li> <li title="Module:init-1"><a href="supervisor_bridge.html#Module:init-1">Module:init/1</a></li> <li title="Module:terminate-2"><a href="supervisor_bridge.html#Module:terminate-2">Module:terminate/2</a></li> </ul> </li> <li id="no" title="sys " expanded="false">sys<ul> <li><a href="sys.html"> Top of manual page </a></li> <li title="log-2"><a href="sys.html#log-2">log/2</a></li> <li title="log-3"><a href="sys.html#log-3">log/3</a></li> <li title="log_to_file-2"><a href="sys.html#log_to_file-2">log_to_file/2</a></li> <li title="log_to_file-3"><a href="sys.html#log_to_file-3">log_to_file/3</a></li> <li title="statistics-2"><a href="sys.html#statistics-2">statistics/2</a></li> <li title="statistics-3"><a href="sys.html#statistics-3">statistics/3</a></li> <li title="trace-2"><a href="sys.html#trace-2">trace/2</a></li> <li title="trace-3"><a href="sys.html#trace-3">trace/3</a></li> <li title="no_debug-1"><a href="sys.html#no_debug-1">no_debug/1</a></li> <li title="no_debug-2"><a href="sys.html#no_debug-2">no_debug/2</a></li> <li title="suspend-1"><a href="sys.html#suspend-1">suspend/1</a></li> <li title="suspend-2"><a href="sys.html#suspend-2">suspend/2</a></li> <li title="resume-1"><a href="sys.html#resume-1">resume/1</a></li> <li title="resume-2"><a href="sys.html#resume-2">resume/2</a></li> <li title="change_code-4"><a href="sys.html#change_code-4">change_code/4</a></li> <li title="change_code-5"><a href="sys.html#change_code-5">change_code/5</a></li> <li title="get_status-1"><a href="sys.html#get_status-1">get_status/1</a></li> <li title="get_status-2"><a href="sys.html#get_status-2">get_status/2</a></li> <li title="install-2"><a href="sys.html#install-2">install/2</a></li> <li title="install-3"><a href="sys.html#install-3">install/3</a></li> <li title="remove-2"><a href="sys.html#remove-2">remove/2</a></li> <li title="remove-3"><a href="sys.html#remove-3">remove/3</a></li> <li title="debug_options-1"><a href="sys.html#debug_options-1">debug_options/1</a></li> <li title="get_debug-3"><a href="sys.html#get_debug-3">get_debug/3</a></li> <li title="handle_debug-4"><a href="sys.html#handle_debug-4">handle_debug/4</a></li> <li title="handle_system_msg-6"><a href="sys.html#handle_system_msg-6">handle_system_msg/6</a></li> <li title="print_log-1"><a href="sys.html#print_log-1">print_log/1</a></li> <li title="Mod:system_continue-3"><a href="sys.html#Mod:system_continue-3">Mod:system_continue/3</a></li> <li title="Mod:system_terminate-4"><a href="sys.html#Mod:system_terminate-4">Mod:system_terminate/4</a></li> <li title="Mod:system_code_change-4"><a href="sys.html#Mod:system_code_change-4">Mod:system_code_change/4</a></li> </ul> </li> <li id="no" title="timer " expanded="false">timer<ul> <li><a href="timer.html"> Top of manual page 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title="zip_close-1"><a href="zip.html#zip_close-1">zip_close/1</a></li> </ul> </li> </ul> </div></div> <div id="content"> <div class="innertube"> <!-- refpage --><center><h1>beam_lib</h1></center> <h3>MODULE</h3> <div class="REFBODY">beam_lib</div> <h3>MODULE SUMMARY</h3> <div class="REFBODY">An Interface To the BEAM File Format</div> <h3>DESCRIPTION</h3> <div class="REFBODY"><p> <p><span class="code">beam_lib</span> provides an interface to files created by the BEAM compiler ("BEAM files"). The format used, a variant of "EA IFF 1985" Standard for Interchange Format Files, divides data into chunks.</p> <p>Chunk data can be returned as binaries or as compound terms. Compound terms are returned when chunks are referenced by names (atoms) rather than identifiers (strings). The names recognized and the corresponding identifiers are:</p> <ul> <li><span class="code">abstract_code ("Abst")</span></li> <li><span class="code">attributes ("Attr")</span></li> <li><span class="code">compile_info ("CInf")</span></li> <li><span class="code">exports ("ExpT")</span></li> <li><span class="code">labeled_exports ("ExpT")</span></li> <li><span class="code">imports ("ImpT")</span></li> <li><span class="code">indexed_imports ("ImpT")</span></li> <li><span class="code">locals ("LocT")</span></li> <li><span class="code">labeled_locals ("LocT")</span></li> <li><span class="code">atoms ("Atom")</span></li> </ul> </p></div> <h3><a name="id2346813">Debug Information/Abstract Code</a></h3> <div class="REFBODY"> <a name="debug_info"></a> <p>The option <span class="code">debug_info</span> can be given to the compiler (see <span class="bold_code"><a href="javascript:erlhref('../../../../doc/../','compiler','compile.html#debug_info');">compile(3)</a></span>) in order to have debug information in the form of abstract code (see <span class="bold_code"><a href="javascript:erlhref('../../../../doc/../','erts','absform.html');">The Abstract Format</a></span> in ERTS User's Guide) stored in the <span class="code">abstract_code</span> chunk. Tools such as Debugger and Xref require the debug information to be included.</p> <div class="warning"> <div class="label">Warning</div> <div class="content"><p> <p>Source code can be reconstructed from the debug information. Use encrypted debug information (see below) to prevent this.</p> </p></div> </div> <p>The debug information can also be removed from BEAM files using <span class="bold_code"><a href="#strip-1">strip/1</a></span>, <span class="bold_code"><a href="#strip_files-1">strip_files/1</a></span> and/or <span class="bold_code"><a href="#strip_release-1">strip_release/1</a></span>.</p> <h4>Reconstructing source code</h4> <div class="REFBODY"> <p>Here is an example of how to reconstruct source code from the debug information in a BEAM file <span class="code">Beam</span>:</p> <div class="example"><pre> {ok,{_,[{abstract_code,{_,AC}}]}} = beam_lib:chunks(Beam,[abstract_code]). io:fwrite("~s~n", [erl_prettypr:format(erl_syntax:form_list(AC))]).</pre></div> </div> <h4>Encrypted debug information</h4> <div class="REFBODY"> <p>The debug information can be encrypted in order to keep the source code secret, but still being able to use tools such as Xref or Debugger. </p> <p>To use encrypted debug information, a key must be provided to the compiler and <span class="code">beam_lib</span>. The key is given as a string and it is recommended that it contains at least 32 characters and that both upper and lower case letters as well as digits and special characters are used.</p> <p></p> <p>The default type -- and currently the only type -- of crypto algorithm is <span class="code">des3_cbc</span>, three rounds of DES. The key string will be scrambled using <span class="code">erlang:md5/1</span> to generate the actual keys used for <span class="code">des3_cbc</span>.</p> <div class="note"> <div class="label">Note</div> <div class="content"><p> <p>As far as we know by the time of writing, it is infeasible to break <span class="code">des3_cbc</span> encryption without any knowledge of the key. Therefore, as long as the key is kept safe and is unguessable, the encrypted debug information <strong>should</strong> be safe from intruders.</p> </p></div> </div> <p>There are two ways to provide the key:</p> <ul> <li> <p>Use the compiler option <span class="code">{debug_info,Key}</span>, see <span class="bold_code"><a href="javascript:erlhref('../../../../doc/../','compiler','compile.html#debug_info_key');">compile(3)</a></span>, and the function <span class="bold_code"><a href="#crypto_key_fun-1">crypto_key_fun/1</a></span> to register a fun which returns the key whenever <span class="code">beam_lib</span> needs to decrypt the debug information.</p> <p>If no such fun is registered, <span class="code">beam_lib</span> will instead search for a <span class="code">.erlang.crypt</span> file, see below.</p> </li> <li> <p>Store the key in a text file named <span class="code">.erlang.crypt</span>.</p> <p>In this case, the compiler option <span class="code">encrypt_debug_info</span> can be used, see <span class="bold_code"><a href="javascript:erlhref('../../../../doc/../','compiler','compile.html#encrypt_debug_info');">compile(3)</a></span>.</p> </li> </ul> </div> <h4>.erlang.crypt</h4> <div class="REFBODY"> <p><span class="code">beam_lib</span> searches for <span class="code">.erlang.crypt</span> in the current directory and then the home directory for the current user. If the file is found and contains a key, <span class="code">beam_lib</span> will implicitly create a crypto key fun and register it.</p> <p>The <span class="code">.erlang.crypt</span> file should contain a single list of tuples:</p> <div class="example"><pre> {debug_info, Mode, Module, Key}</pre></div> <p><span class="code">Mode</span> is the type of crypto algorithm; currently, the only allowed value thus is <span class="code">des3_cbc</span>. <span class="code">Module</span> is either an atom, in which case <span class="code">Key</span> will only be used for the module <span class="code">Module</span>, or <span class="code">[]</span>, in which case <span class="code">Key</span> will be used for all modules. <span class="code">Key</span> is the non-empty key string.</p> <p>The <span class="code">Key</span> in the first tuple where both <span class="code">Mode</span> and <span class="code">Module</span> matches will be used.</p> <p>Here is an example of an <span class="code">.erlang.crypt</span> file that returns the same key for all modules:</p> <div class="example"><pre> [{debug_info, des3_cbc, [], "%>7}|pc/DM6Cga*68$Mw]L#&_Gejr]G^"}].</pre></div> <p>And here is a slightly more complicated example of an <span class="code">.erlang.crypt</span> which provides one key for the module <span class="code">t</span>, and another key for all other modules:</p> <div class="example"><pre> [{debug_info, des3_cbc, t, "My KEY"}, {debug_info, des3_cbc, [], "%>7}|pc/DM6Cga*68$Mw]L#&_Gejr]G^"}].</pre></div> <div class="note"> <div class="label">Note</div> <div class="content"><p> <p>Do not use any of the keys in these examples. Use your own keys.</p> </p></div> </div> </div> </div> <h3><a name="id2349384">DATA TYPES</a></h3> <div class="REFBODY"> <div class="example"><pre> beam() -> Module | Filename | binary() Module = atom() Filename = string() | atom()</pre></div> <p>Each of the functions described below accept either the module name, the filename, or a binary containing the beam module.</p> <div class="example"><pre> chunkdata() = {ChunkId, DataB} | {ChunkName, DataT} ChunkId = chunkid() DataB = binary() {ChunkName, DataT} = {abstract_code, AbstractCode} | {attributes, [{Attribute, [AttributeValue]}]} | {compile_info, [{InfoKey, [InfoValue]}]} | {exports, [{Function, Arity}]} | {labeled_exports, [{Function, Arity, Label}]} | {imports, [{Module, Function, Arity}]} | {indexed_imports, [{Index, Module, Function, Arity}]} | {locals, [{Function, Arity}]}]} | {labeled_locals, [{Function, Arity, Label}]}]} | {atoms, [{integer(), atom()}]} AbstractCode = {AbstVersion, Forms} | no_abstract_code AbstVersion = atom() Attribute = atom() AttributeValue = term() Module = Function = atom() Arity = int() Label = int()</pre></div> <p>It is not checked that the forms conform to the abstract format indicated by <span class="code">AbstVersion</span>. <span class="code">no_abstract_code</span> means that the <span class="code">"Abst"</span> chunk is present, but empty.</p> <p>The list of attributes is sorted on <span class="code">Attribute</span>, and each attribute name occurs once in the list. The attribute values occur in the same order as in the file. The lists of functions are also sorted.</p> <div class="example"><pre> chunkid() = "Abst" | "Attr" | "CInf" | "ExpT" | "ImpT" | "LocT" | "Atom" chunkname() = abstract_code | attributes | compile_info | exports | labeled_exports | imports | indexed_imports | locals | labeled_locals | atoms chunkref() = chunkname() | chunkid()</pre></div> </div> <h3>EXPORTS</h3> <p><a name="chunks-2"><span class="bold_code">chunks(Beam, [ChunkRef]) -> {ok, {Module, [ChunkData]}} | {error, beam_lib, Reason}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Beam = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">ChunkRef = chunkref()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Module = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">ChunkData = chunkdata()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason = {unknown_chunk, Filename, atom()}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {key_missing_or_invalid, Filename, abstract_code}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | Reason1 -- see info/1</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> Filename = string()</span><br> </div> </div> <div class="REFBODY"><p> <p>Reads chunk data for selected chunks refs. The order of the returned list of chunk data is determined by the order of the list of chunks references.</p> </p></div> <p><a name="chunks-3"><span class="bold_code">chunks(Beam, [ChunkRef], [Option]) -> {ok, {Module, [ChunkResult]}} | {error, beam_lib, Reason}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Beam = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">ChunkRef = chunkref()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Module = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Option = allow_missing_chunks</span><br> </div> <div class="REFTYPES"> <span class="bold_code">ChunkResult = {chunkref(), ChunkContents} | {chunkref(), missing_chunk}</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason = {missing_chunk, Filename, atom()}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {key_missing_or_invalid, Filename, abstract_code}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | Reason1 -- see info/1</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> Filename = string()</span><br> </div> </div> <div class="REFBODY"><p> <p>Reads chunk data for selected chunks refs. The order of the returned list of chunk data is determined by the order of the list of chunks references.</p> <p>By default, if any requested chunk is missing in <span class="code">Beam</span>, an <span class="code">error</span> tuple is returned. However, if the option <span class="code">allow_missing_chunks</span> has been given, a result will be returned even if chunks are missing. In the result list, any missing chunks will be represented as <span class="code">{ChunkRef,missing_chunk}</span>. Note, however, that if the <span class="code">"Atom"</span> chunk if missing, that is considered a fatal error and the return value will be an <span class="code">error</span> tuple.</p> </p></div> <p><a name="version-1"><span class="bold_code">version(Beam) -> {ok, {Module, [Version]}} | {error, beam_lib, Reason}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Beam = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Module = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Version = term()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason -- see chunks/2</span><br> </div> </div> <div class="REFBODY"><p> <p>Returns the module version(s). A version is defined by the module attribute <span class="code">-vsn(Vsn)</span>. If this attribute is not specified, the version defaults to the checksum of the module. Note that if the version <span class="code">Vsn</span> is not a list, it is made into one, that is <span class="code">{ok,{Module,[Vsn]}}</span> is returned. If there are several <span class="code">-vsn</span> module attributes, the result is the concatenated list of versions. Examples:</p> <div class="example"><pre> 1> <span class="bold_code">beam_lib:version(a).</span> % -vsn(1). {ok,{a,[1]}} 2> <span class="bold_code">beam_lib:version(b).</span> % -vsn([1]). {ok,{b,[1]}} 3> <span class="bold_code">beam_lib:version(c).</span> % -vsn([1]). -vsn(2). {ok,{c,[1,2]}} 4> <span class="bold_code">beam_lib:version(d).</span> % no -vsn attribute {ok,{d,[275613208176997377698094100858909383631]}}</pre></div> </p></div> <p><a name="md5-1"><span class="bold_code">md5(Beam) -> {ok, {Module, MD5}} | {error, beam_lib, Reason}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Beam = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Module = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">MD5 = binary()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason -- see chunks/2</span><br> </div> </div> <div class="REFBODY"><p> <p>Calculates an MD5 redundancy check for the code of the module (compilation date and other attributes are not included).</p> </p></div> <p><a name="info-1"><span class="bold_code">info(Beam) -> [{Item, Info}] | {error, beam_lib, Reason1}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Beam = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Item, Info -- see below</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason1 = {chunk_too_big, Filename, ChunkId, ChunkSize, FileSize}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {invalid_beam_file, Filename, Pos}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {invalid_chunk, Filename, ChunkId}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {missing_chunk, Filename, ChunkId}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {not_a_beam_file, Filename}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {file_error, Filename, Posix}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> Filename = string()</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> ChunkId = chunkid()</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> ChunkSize = FileSize = int()</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> Pos = int()</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> Posix = posix() -- see file(3)</span><br> </div> </div> <div class="REFBODY"><p> <p>Returns a list containing some information about a BEAM file as tuples <span class="code">{Item, Info}</span>:</p> <dl> <dt><strong><span class="code">{file, Filename} | {binary, Binary}</span></strong></dt> <dd> <p>The name (string) of the BEAM file, or the binary from which the information was extracted.</p> </dd> <dt><strong><span class="code">{module, Module}</span></strong></dt> <dd> <p>The name (atom) of the module.</p> </dd> <dt><strong><span class="code">{chunks, [{ChunkId, Pos, Size}]}</span></strong></dt> <dd> <p>For each chunk, the identifier (string) and the position and size of the chunk data, in bytes.</p> </dd> </dl> </p></div> <p><a name="cmp-2"><span class="bold_code">cmp(Beam1, Beam2) -> ok | {error, beam_lib, Reason}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Beam1 = Beam2 = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason = {modules_different, Module1, Module2}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | {chunks_different, ChunkId}</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> | Reason1 -- see info/1</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> Module1 = Module2 = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> ChunkId = chunkid()</span><br> </div> </div> <div class="REFBODY"><p> <p>Compares the contents of two BEAM files. If the module names are the same, and the chunks with the identifiers <span class="code">"Code"</span>, <span class="code">"ExpT"</span>, <span class="code">"ImpT"</span>, <span class="code">"StrT"</span>, and <span class="code">"Atom"</span> have the same contents in both files, <span class="code">ok</span> is returned. Otherwise an error message is returned.</p> </p></div> <p><a name="cmp_dirs-2"><span class="bold_code">cmp_dirs(Dir1, Dir2) -> {Only1, Only2, Different} | {error, beam_lib, Reason1}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Dir1 = Dir2 = string() | atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Different = [{Filename1, Filename2}]</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Only1 = Only2 = [Filename]</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Filename = Filename1 = Filename2 = string()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason1 = {not_a_directory, term()} | -- see info/1</span><br> </div> </div> <div class="REFBODY"><p> <p>The <span class="code">cmp_dirs/2</span> function compares the BEAM files in two directories. Only files with extension <span class="code">".beam"</span> are compared. BEAM files that exist in directory <span class="code">Dir1</span> (<span class="code">Dir2</span>) only are returned in <span class="code">Only1</span> (<span class="code">Only2</span>). BEAM files that exist on both directories but are considered different by <span class="code">cmp/2</span> are returned as pairs {<span class="code">Filename1</span>, <span class="code">Filename2</span>} where <span class="code">Filename1</span> (<span class="code">Filename2</span>) exists in directory <span class="code">Dir1</span> (<span class="code">Dir2</span>).</p> </p></div> <p><a name="diff_dirs-2"><span class="bold_code">diff_dirs(Dir1, Dir2) -> ok | {error, beam_lib, Reason1}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Dir1 = Dir2 = string() | atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason1 = {not_a_directory, term()} | -- see info/1</span><br> </div> </div> <div class="REFBODY"><p> <p>The <span class="code">diff_dirs/2</span> function compares the BEAM files in two directories the way <span class="code">cmp_dirs/2</span> does, but names of files that exist in only one directory or are different are presented on standard output.</p> </p></div> <p><a name="strip-1"><span class="bold_code">strip(Beam1) -> {ok, {Module, Beam2}} | {error, beam_lib, Reason1}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Beam1 = Beam2 = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Module = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason1 -- see info/1</span><br> </div> </div> <div class="REFBODY"><p> <p>The <span class="code">strip/1</span> function removes all chunks from a BEAM file except those needed by the loader. In particular, the debug information (<span class="code">abstract_code</span> chunk) is removed.</p> </p></div> <p><a name="strip_files-1"><span class="bold_code">strip_files(Files) -> {ok, [{Module, Beam2}]} | {error, beam_lib, Reason1}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Files = [Beam1]</span><br> </div> <div class="REFTYPES"> <span class="bold_code"> Beam1 = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Module = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Beam2 = beam()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason1 -- see info/1</span><br> </div> </div> <div class="REFBODY"><p> <p>The <span class="code">strip_files/1</span> function removes all chunks except those needed by the loader from BEAM files. In particular, the debug information (<span class="code">abstract_code</span> chunk) is removed. The returned list contains one element for each given file name, in the same order as in <span class="code">Files</span>.</p> </p></div> <p><a name="strip_release-1"><span class="bold_code">strip_release(Dir) -> {ok, [{Module, Filename]}} | {error, beam_lib, Reason1}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Dir = string() | atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Module = atom()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Filename = string()</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason1 = {not_a_directory, term()} | -- see info/1</span><br> </div> </div> <div class="REFBODY"><p> <p>The <span class="code">strip_release/1</span> function removes all chunks except those needed by the loader from the BEAM files of a release. <span class="code">Dir</span> should be the installation root directory. For example, the current OTP release can be stripped with the call <span class="code">beam_lib:strip_release(code:root_dir())</span>.</p> </p></div> <p><a name="format_error-1"><span class="bold_code">format_error(Reason) -> Chars</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Reason -- see other functions</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Chars = [char() | Chars]</span><br> </div> </div> <div class="REFBODY"><p> <p>Given the error returned by any function in this module, the function <span class="code">format_error</span> returns a descriptive string of the error in English. For file errors, the function <span class="code">file:format_error(Posix)</span> should be called.</p> </p></div> <p><a name="crypto_key_fun-1"><span class="bold_code">crypto_key_fun(CryptoKeyFun) -> ok | {error, Reason}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">CryptoKeyFun = fun() -- see below</span><br> </div> <div class="REFTYPES"> <span class="bold_code">Reason = badfun | exists | term()</span><br> </div> </div> <div class="REFBODY"><p> <p>The <span class="code">crypto_key_fun/1</span> function registers a unary fun that will be called if <span class="code">beam_lib</span> needs to read an <span class="code">abstract_code</span> chunk that has been encrypted. The fun is held in a process that is started by the function.</p> <p>If there already is a fun registered when attempting to register a fun, <span class="code">{error, exists}</span> is returned.</p> <p>The fun must handle the following arguments:</p> <div class="example"><pre> CryptoKeyFun(init) -> ok | {ok, NewCryptoKeyFun} | {error, Term}</pre></div> <p>Called when the fun is registered, in the process that holds the fun. Here the crypto key fun can do any necessary initializations. If <span class="code">{ok, NewCryptoKeyFun}</span> is returned then <span class="code">NewCryptoKeyFun</span> will be registered instead of <span class="code">CryptoKeyFun</span>. If <span class="code">{error, Term}</span> is returned, the registration is aborted and <span class="code">crypto_key_fun/1</span> returns <span class="code">{error, Term}</span> as well.</p> <div class="example"><pre> CryptoKeyFun({debug_info, Mode, Module, Filename}) -> Key</pre></div> <p>Called when the key is needed for the module <span class="code">Module</span> in the file named <span class="code">Filename</span>. <span class="code">Mode</span> is the type of crypto algorithm; currently, the only possible value thus is <span class="code">des3_cbc</span>. The call should fail (raise an exception) if there is no key available.</p> <div class="example"><pre> CryptoKeyFun(clear) -> term()</pre></div> <p>Called before the fun is unregistered. Here any cleaning up can be done. The return value is not important, but is passed back to the caller of <span class="code">clear_crypto_key_fun/0</span> as part of its return value.</p> </p></div> <p><a name="clear_crypto_key_fun-0"><span class="bold_code">clear_crypto_key_fun() -> {ok, Result}</span></a><br></p> <div class="REFBODY"> <p>Types:</p> <div class="REFTYPES"> <span class="bold_code">Result = undefined | term()</span><br> </div> </div> <div class="REFBODY"><p> <p>Unregisters the crypto key fun and terminates the process holding it, started by <span class="code">crypto_key_fun/1</span>.</p> <p>The <span class="code">clear_crypto_key_fun/1</span> either returns <span class="code">{ok, undefined}</span> if there was no crypto key fun registered, or <span class="code">{ok, Term}</span>, where <span class="code">Term</span> is the return value from <span class="code">CryptoKeyFun(clear)</span>, see <span class="code">crypto_key_fun/1</span>.</p> </p></div> </div> <div class="footer"> <hr> <p>Copyright © 1997-2010 Ericsson AB. 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