# crc16.tcl -- Copyright (C) 2002, 2017 Pat Thoyts # # Cyclic Redundancy Check - this is a Tcl implementation of a general # table-driven CRC implementation. This code should be able to generate # the lookup table and implement the correct algorithm for most types # of CRC. CRC-16, CRC-32 and the CCITT version of CRC-16. [1][2][3] # Most transmission CRCs use the CCITT polynomial (including X.25, SDLC # and Kermit). # # [1] http://www.microconsultants.com/tips/crc/crc.txt for the reference # implementation # [2] http://www.embedded.com/internet/0001/0001connect.htm # for another good discussion of why things are the way they are. # [3] "Numerical Recipes in C", Press WH et al. Chapter 20. # # Checks: a crc for the string "123456789" should give: # CRC16: 0xBB3D # CRC-CCITT: 0x29B1 # XMODEM: 0x31C3 # CRC-32: 0xCBF43926 # # Additional CRCs from the bottom of # http://reveng.sourceforge.net/crc-catalogue/all.htm # # KERMIT: 0x2189 # MODBUS: 0x4B37 # MCRF4XX: 0x6F91 # GENIBUS: 0xD64E # X.25: 0x906E # SDLC: 0x906E # USB: 0xB4C8 # BUYPASS: 0xFEE8 # UMTS: 0xFEE8 ::crc::umts # GSM: 0xCE3C # UNKNOWN2: 0xDE76 # MAXIM: 0x44C2 # UNKNOWN3: 0x0117 # UNKNOWN4: 0x5118 # CMS: 0xAEE7 # # eg: crc::crc16 "123456789" # crc::crc-ccitt "123456789" # or crc::crc16 -file tclsh.exe # # Note: # The CCITT CRC can very easily be checked for the accuracy of transmission # as the CRC of the message plus the CRC values will be 0. That is: # % set msg {123456789} # % set crc [crc::crc-ccitt $msg] # % crc::crc-ccitt $msg[binary format S $crc] # 0 # # The same is true of other CRCs but some operate in reverse bit order: # % crc::crc16 $msg[binary format s [crc::crc16 $msg]] # 0 # # ------------------------------------------------------------------------- # See the file "license.terms" for information on usage and redistribution # of this file, and for a DISCLAIMER OF ALL WARRANTIES. # ------------------------------------------------------------------------- # @mdgen EXCLUDE: crcc.tcl package require Tcl 8.5 9; # tcl minimum version namespace eval ::crc { namespace export crc16 crc-ccitt crc-32 # Standard CRC generator polynomials. variable polynomial set polynomial(crc16) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] set polynomial(ccitt) [expr {(1<<16) | (1<<12) | (1<<5) | 1}] set polynomial(crc32) [expr {(1<<32) | (1<<26) | (1<<23) | (1<<22) | (1<<16) | (1<<12) | (1<<11) | (1<<10) | (1<<8) | (1<<7) | (1<<5) | (1<<4) | (1<<2) | (1<<1) | 1}] set polynomial(kermit) [expr {(1<<16) | (1<<12) | (1<<5) | 1}] set polynomial(modbus) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] set polynomial(mcrf4xx) [expr {(1<<16) | (1<<12) | (1<<5) | 1}] set polynomial(genibus) [expr {(1<<16) | (1<<12) | (1<<5) | 1}] set polynomial(x25) [expr {(1<<16) | (1<<12) | (1<<5) | 1}] set polynomial(usb) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] set polynomial(buypass) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] set polynomial(gsm) [expr {(1<<16) | (1<<12) | (1<<5) | 1}] set polynomial(unknown2) [expr {(1<<16) | (1<<12) | (1<<5) | 1}] set polynomial(maxim) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] set polynomial(unknown3) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] set polynomial(unknown4) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] set polynomial(cms) [expr {(1<<16) | (1<<15) | (1<<2) | 1}] # Array to hold the generated tables variable table if {![info exists table]} { array set table {}} # calculate the sign bit for the current platform. variable signbit if {![info exists signbit]} { if {[info exists ::tcl_platform(wordSize)]} { set signbit [expr {1 << (8*$::tcl_platform(wordSize)-1)}] } else { # Old Tcl. Find bit by shifting until wrap around to 0. # With int() result limited to system word size the loop will end. variable v for {set v 1} {int($v) != 0} {set signbit $v; set v [expr {$v<<1}]} {} unset v } } } # ------------------------------------------------------------------------- # Generate a CRC lookup table. # This creates a CRC algorithm lookup table for a 'width' bits checksum # using the 'poly' polynomial for all values of an input byte. # Setting 'reflected' changes the bit order for input bytes. # Returns a list or 255 elements. # # CRC-32: Crc_table 32 $crc::polynomial(crc32) 1 # CRC-16: Crc_table 16 $crc::polynomial(crc16) 1 # CRC16/CCITT: Crc_table 16 $crc::polynomial(ccitt) 0 # KERMIT: Crc_table 16 $crc::polynomial(kermit) 1 # MODBUS: Crc_table 16 $crc::polynomial(modbus) 1 # MCRF4XX: Crc_table 16 $crc::polynomial(mcrf4xx) 1 # GENIBUS: Crc_table 16 $crc::polynomial(genibus) 0 # X.25: Crc_table 16 $crc::polynomial(x25) 1 # USB: Crc_table 16 $crc::polynomial(usb) 1 # BUYPASS: Crc_table 16 $crc::polynomial(buypass) 0 # GSM: Crc_table 16 $crc::polynomial(gsm) 0 # UNKNOWN2: Crc_table 16 $crc::polynomial(unknown2) 1 # MAXIM: Crc_table 16 $crc::polynomial(maxim) 1 # UNKNOWN3: Crc_table 16 $crc::polynomial(unknown3) 0 # UNKNOWN4: Crc_table 16 $crc::polynomial(unknown4) 0 # CMS: Crc_table 16 $crc::polynomial(cms) 0 # proc ::crc::Crc_table {width poly reflected} { set tbl {} if {$width < 32} { set mask [expr {(1 << $width) - 1}] set topbit [expr {1 << ($width - 1)}] } else { set mask 0xffffffff set topbit 0x80000000 } for {set i 0} {$i < 256} {incr i} { if {$reflected} { set r [reflect $i 8] } else { set r $i } set r [expr {$r << ($width - 8)}] for {set k 0} {$k < 8} {incr k} { if {[expr {$r & $topbit}] != 0} { set r [expr {($r << 1) ^ $poly}] } else { set r [expr {$r << 1}] } } if {$reflected} { set r [reflect $r $width] } lappend tbl [expr {$r & $mask}] } return $tbl } # ------------------------------------------------------------------------- # Calculate the CRC checksum for the data in 's' using a precalculated # table. # s the input data # width - the width in bits of the CRC algorithm # table - the name of the variable holding the calculated table # init - the start value (or the last CRC for sequential blocks) # xorout - the final value may be XORd with this value # reflected - a boolean indicating that the bit order is reversed. # For hardware optimised CRC checks, the bits are handled # in transmission order (ie: bit0, bit1, ..., bit7) proc ::crc::Crc {s width table {init 0} {xorout 0} {reflected 0}} { upvar $table tbl variable signbit set signmask [expr {~$signbit>>7}] if {$width < 32} { set mask [expr {(1 << $width) - 1}] set rot [expr {$width - 8}] } else { set mask 0xffffffff set rot 24 } set crc $init binary scan $s c* data foreach {datum} $data { if {$reflected} { set ndx [expr {($crc ^ $datum) & 0xFF}] set lkp [lindex $tbl $ndx] set crc [expr {($lkp ^ ($crc >> 8 & $signmask)) & $mask}] } else { set ndx [expr {(($crc >> $rot) ^ $datum) & 0xFF}] set lkp [lindex $tbl $ndx] set crc [expr {($lkp ^ ($crc << 8 & $signmask)) & $mask}] } } return [expr {$crc ^ $xorout}] } # ------------------------------------------------------------------------- # Reverse the bit ordering for 'b' bits of the input value 'v' proc ::crc::reflect {v b} { set t $v for {set i 0} {$i < $b} {incr i} { set v [expr {($t & 1) ? ($v | (1<<(($b-1)-$i))) : ($v & ~(1<<(($b-1)-$i))) }] set t [expr {$t >> 1}] } return $v } # ------------------------------------------------------------------------- # Description: # Pop the nth element off a list. Used in options processing. # proc ::crc::Pop {varname {nth 0}} { upvar $varname args set r [lindex $args $nth] set args [lreplace $args $nth $nth] return $r } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the standard CRC16 # checksum proc ::crc::CRC16 {s {seed 0}} { variable table if {![info exists table(crc16)]} { variable polynomial set table(crc16) [Crc_table 16 $polynomial(crc16) 1] } return [Crc $s 16 [namespace current]::table(crc16) $seed 0 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the CCITT telecoms # flavour of the CRC16 checksum proc ::crc::CRC-CCITT {s {seed 0} {xor 0}} { variable table if {![info exists table(ccitt)]} { variable polynomial set table(ccitt) [Crc_table 16 $polynomial(ccitt) 0] } return [Crc $s 16 [namespace current]::table(ccitt) $seed $xor 0] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the KERMIT # flavour of the CRC16 checksum proc ::crc::CRC-KERMIT {s {seed 0} {xor 0}} { variable table if {![info exists table(kermit)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(kermit) [Crc_table 16 $polynomial(kermit) 1] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(kermit) $seed $xor 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the MODBUS # flavour of the CRC16 checksum proc ::crc::CRC-MODBUS {s {seed 0xFFFF} {xor 0}} { variable table if {![info exists table(modbus)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(modbus) [Crc_table 16 $polynomial(modbus) 1] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(modbus) $seed $xor 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the MCRF4XX # flavour of the CRC16 checksum proc ::crc::CRC-MCRF4XX {s {seed 0xFFFF} {xor 0}} { variable table if {![info exists table(mcrf4xx)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(mcrf4xx) [Crc_table 16 $polynomial(mcrf4xx) 1] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(mcrf4xx) $seed $xor 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the GENIBUS # flavour of the CRC16 checksum proc ::crc::CRC-GENIBUS {s {seed 0xFFFF} {xor 0xFFFF}} { variable table if {![info exists table(genibus)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(genibus) [Crc_table 16 $polynomial(genibus) 0] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(genibus) $seed $xor 0] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the X25 # flavour of the CRC16 checksum proc ::crc::CRC-X25 {s {seed 0xFFFF} {xor 0xFFFF}} { variable table if {![info exists table(x25)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(x25) [Crc_table 16 $polynomial(x25) 1] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(x25) $seed $xor 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the USB # flavour of the CRC16 checksum proc ::crc::CRC-USB {s {seed 0xFFFF} {xor 0xFFFF}} { variable table if {![info exists table(usb)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(usb) [Crc_table 16 $polynomial(usb) 1] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(usb) $seed $xor 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the BUYPASS # flavour of the CRC16 checksum proc ::crc::CRC-BUYPASS {s {seed 0} {xor 0}} { variable table if {![info exists table(buypass)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(buypass) [Crc_table 16 $polynomial(buypass) 0] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(buypass) $seed $xor 0] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the GSM # flavour of the CRC16 checksum proc ::crc::CRC-GSM {s {seed 0} {xor 0xFFFF}} { variable table if {![info exists table(gsm)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(gsm) [Crc_table 16 $polynomial(gsm) 0] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(gsm) $seed $xor 0] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the UNKNOWN-2 # flavour of the CRC16 checksum proc ::crc::CRC-UNKNOWN2 {s {seed 0} {xor 0xFFFF}} { variable table if {![info exists table(unknown2)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(unknown2) [Crc_table 16 $polynomial(unknown2) 1] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(unknown2) $seed $xor 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the MAXIM # flavour of the CRC16 checksum proc ::crc::CRC-MAXIM {s {seed 0} {xor 0xFFFF}} { variable table if {![info exists table(maxim)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(maxim) [Crc_table 16 $polynomial(maxim) 1] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(maxim) $seed $xor 1] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the UNKNOWN-3 # flavour of the CRC16 checksum proc ::crc::CRC-UNKNOWN3 {s {seed 0} {xor 0xFFFF}} { variable table if {![info exists table(unknown3)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(unknown3) [Crc_table 16 $polynomial(unknown3) 0] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(unknown3) $seed $xor 0] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the UNKNOWN-4 # flavour of the CRC16 checksum proc ::crc::CRC-UNKNOWN4 {s {seed 0xFFFF} {xor 0xFFFF}} { variable table if {![info exists table(unknown4)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(unknown4) [Crc_table 16 $polynomial(unknown4) 0] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(unknown4) $seed $xor 0] } # ------------------------------------------------------------------------- # Specialisation of the general crc procedure to perform the CMS # flavour of the CRC16 checksum proc ::crc::CRC-CMS {s {seed 0xFFFF} {xor 0}} { variable table if {![info exists table(cms)]} { variable polynomial # ::crc::Crc_table width poly reflected set table(cms) [Crc_table 16 $polynomial(cms) 0] } # ::crc::Crc s width table init xorout reflected return [Crc $s 16 [namespace current]::table(cms) $seed $xor 0] } # ------------------------------------------------------------------------- # Demonstrates the parameters used for the 32 bit checksum CRC-32. # This can be used to show the algorithm is working right by comparison with # other crc32 implementations proc ::crc::CRC-32 {s {seed 0xFFFFFFFF}} { variable table if {![info exists table(crc32)]} { variable polynomial set table(crc32) [Crc_table 32 $polynomial(crc32) 1] } return [Crc $s 32 [namespace current]::table(crc32) $seed 0xFFFFFFFF 1] } # ------------------------------------------------------------------------- # User level CRC command. proc ::crc::crc {args} { array set opts [list filename {} channel {} chunksize 4096 \ format %u seed 0 \ impl [namespace origin CRC16]] while {[string match -* [set option [lindex $args 0]]]} { switch -glob -- $option { -fi* { set opts(filename) [Pop args 1] } -cha* { set opts(channel) [Pop args 1] } -chu* { set opts(chunksize) [Pop args 1] } -fo* { set opts(format) [Pop args 1] } -i* { set opts(impl) [uplevel 1 namespace origin [Pop args 1]] } -s* { set opts(seed) [Pop args 1] } default { if {[llength $args] == 1} { break } if {[string compare $option "--"] == 0} { Pop args; break } set options [join [lsort [array names opts]] ", -"] return -code error "bad option $option:\ must be one of -$options or -- to indicate end of options" } } Pop args } if {$opts(filename) != {}} { set opts(channel) [open $opts(filename) r] fconfigure $opts(channel) -translation binary } if {$opts(channel) != {}} { set r $opts(seed) set trans [fconfigure $opts(channel) -translation] fconfigure $opts(channel) -translation binary while {![eof $opts(channel)]} { set chunk [read $opts(channel) $opts(chunksize)] set r [$opts(impl) $chunk $r] } fconfigure $opts(channel) -translation $trans if {$opts(filename) != {}} { close $opts(channel) } } else { if {[llength $args] != 1} { return -code error "wrong \# args: should be\ \"crc16 ?-format string? ?-seed value? ?-impl procname?\ -file name | -- data\"" } set r [$opts(impl) [lindex $args 0] $opts(seed)] } return [format $opts(format) $r] } # ------------------------------------------------------------------------- # The user commands. See 'crc' # proc ::crc::crc16 {args} { return [eval [list crc -impl [namespace origin CRC16]] $args] } proc ::crc::crc-ccitt {args} { return [eval [list crc -impl [namespace origin CRC-CCITT] -seed 0xFFFF] $args] } proc ::crc::xmodem {args} { return [eval [list crc -impl [namespace origin CRC-CCITT] -seed 0] $args] } proc ::crc::crc-32 {args} { return [eval [list crc -impl [namespace origin CRC-32] -seed 0xFFFFFFFF] $args] } proc ::crc::kermit {args} { return [eval [list crc -impl [namespace origin CRC-KERMIT] -seed 0] $args] } proc ::crc::modbus {args} { return [eval [list crc -impl [namespace origin CRC-MODBUS] -seed 0xFFFF] $args] } proc ::crc::mcrf4xx {args} { return [eval [list crc -impl [namespace origin CRC-MCRF4XX] -seed 0xFFFF] $args] } proc ::crc::genibus {args} { return [eval [list crc -impl [namespace origin CRC-GENIBUS] -seed 0xFFFF] $args] } proc ::crc::crc-x25 {args} { return [eval [list crc -impl [namespace origin CRC-X25] -seed 0xFFFF] $args] } proc ::crc::crc-sdlc {args} { return [eval [list crc -impl [namespace origin CRC-X25] -seed 0xFFFF] $args] } proc ::crc::crc-usb {args} { return [eval [list crc -impl [namespace origin CRC-USB] -seed 0xFFFF] $args] } proc ::crc::buypass {args} { return [eval [list crc -impl [namespace origin CRC-BUYPASS] -seed 0] $args] } proc ::crc::umts {args} { return [eval [list crc -impl [namespace origin CRC-BUYPASS] -seed 0] $args] } proc ::crc::gsm {args} { return [eval [list crc -impl [namespace origin CRC-GSM] -seed 0] $args] } proc ::crc::unknown2 {args} { return [eval [list crc -impl [namespace origin CRC-UNKNOWN2] -seed 0] $args] } proc ::crc::maxim {args} { return [eval [list crc -impl [namespace origin CRC-MAXIM] -seed 0] $args] } proc ::crc::unknown3 {args} { return [eval [list crc -impl [namespace origin CRC-UNKNOWN3] -seed 0] $args] } proc ::crc::unknown4 {args} { return [eval [list crc -impl [namespace origin CRC-UNKNOWN4] -seed 0xFFFF] $args] } proc ::crc::cms {args} { return [eval [list crc -impl [namespace origin CRC-CMS] -seed 0xFFFF] $args] } # ------------------------------------------------------------------------- package provide crc16 1.1.5 # ------------------------------------------------------------------------- # # Local variables: # mode: tcl # indent-tabs-mode: nil # End: