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rust
ª‰#rustc 1.96.0 (ac68faa20 2026-05-25)ÁíàÄTËŸ ÜJîÄ)'ß\¥!-3d1337db07d0b3aeÁ¤°ð ¾ä-±($²ï=©Ã-7e98a21bfd32b0edÁtestsÁ,…ípolyÁCRC_16Á
CRC_16_IBMÁ CRC_16_ANSIÁCRC_32Á
IEEE_802_3ÁWidthÁ algorithmÁ CRC_3_GSMÁ
CRC_3_ROHCÁ CRC_4_G_704ÁCRC_4_INTERLAKENÁCRC_5_EPC_C1G2Á CRC_5_G_704Á CRC_5_USBÁCRC_6_CDMA2000_AÁCRC_6_CDMA2000_BÁ
CRC_6_DARCÁ CRC_6_G_704Á CRC_6_GSMÁ CRC_7_MMCÁ
CRC_7_ROHCÁ
CRC_7_UMTSÁ
CRC_8_AUTOSARÁCRC_8_BLUETOOTHÁCRC_8_CDMA2000Á
CRC_8_DARCÁ CRC_8_DVB_S2Á CRC_8_GSM_AÁ CRC_8_GSM_BÁ CRC_8_HITAGÁ
CRC_8_I_432_1Á CRC_8_I_CODEÁ CRC_8_LTEÁCRC_8_MAXIM_DOWÁCRC_8_MIFARE_MADÁ CRC_8_NRSC_5ÁCRC_8_OPENSAFETYÁ
CRC_8_ROHCÁCRC_8_SAE_J1850Á CRC_8_SMBUSÁCRC_8_TECH_3250Á CRC_8_WCDMAÁ
CRC_10_ATMÁCRC_10_CDMA2000Á
CRC_10_GSMÁCRC_11_FLEXRAYÁ CRC_11_UMTSÁCRC_12_CDMA2000Á CRC_12_DECTÁ
CRC_12_GSMÁ CRC_12_UMTSÁ
CRC_13_BBCÁ CRC_14_DARCÁ
CRC_14_GSMÁ
CRC_15_CANÁCRC_15_MPT1327Á
CRC_16_ARCÁCRC_16_CDMA2000Á
CRC_16_CMSÁCRC_16_DDS_110Á
CRC_16_DECT_RÁ
CRC_16_DECT_XÁ
CRC_16_DNPÁCRC_16_EN_13757ÁCRC_16_GENIBUSÁ
CRC_16_GSMÁCRC_16_IBM_3740ÁCRC_16_IBM_SDLCÁCRC_16_ISO_IEC_14443_3_AÁ
CRC_16_KERMITÁ
CRC_16_LJ1200Á
CRC_16_M17ÁCRC_16_MAXIM_DOWÁCRC_16_MCRF4XXÁ
CRC_16_MODBUSÁ
CRC_16_NRSC_5ÁCRC_16_OPENSAFETY_AÁCRC_16_OPENSAFETY_BÁCRC_16_PROFIBUSÁ
CRC_16_RIELLOÁCRC_16_SPI_FUJITSUÁCRC_16_T10_DIFÁCRC_16_TELEDISKÁCRC_16_TMS37157Á CRC_16_UMTSÁ
CRC_16_USBÁ
CRC_16_XMODEMÁ
CRC_17_CAN_FDÁ
CRC_21_CAN_FDÁ
CRC_24_BLEÁCRC_24_FLEXRAY_AÁCRC_24_FLEXRAY_BÁCRC_24_INTERLAKENÁ CRC_24_LTE_AÁ CRC_24_LTE_BÁCRC_24_OPENPGPÁ CRC_24_OS_9Á CRC_30_CDMAÁCRC_31_PHILIPSÁ CRC_32_AIXMÁCRC_32_AUTOSARÁCRC_32_BASE91_DÁ CRC_32_BZIP2ÁCRC_32_CD_ROM_EDCÁ CRC_32_CKSUMÁ CRC_32_ISCSIÁCRC_32_ISO_HDLCÁ
CRC_32_JAMCRCÁ
CRC_32_MEFÁ
CRC_32_MPEG_2Á CRC_32_XFERÁ
CRC_40_GSMÁCRC_64_ECMA_182Á
CRC_64_GO_ISOÁ CRC_64_MSÁ CRC_64_NVMEÁ CRC_64_REDISÁ CRC_64_WEÁ CRC_64_XZÁ CRC_82_DARCÁ AlgorithmÁƒ¨ƒáƒ²ƒinitÁƒrefinÁƒrefoutÁƒxoroutÁƒcheckÁƒresidueÁ¨ƒ¨¨×¨ ¨
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 \ } ] Ÿ{ ^ µy _ Çw ` Øu a ìs b q c o d ¥m e ¼k f Ói g ëg h þe i c j ¦a k ¸_ l Ê] m ß[ n ñY o W p œU q ¯S r ÇQ s ÚO t íM u ƒK v I w ¨G x ¼E y ÎC z ßA { õ? | = } ; ~ «9  ¾7  Î5  Þ3  dHü&# CRC polynomials and their aliases.Á'úü+B? These polynomials are collected from the following catalogues:Áün|y - [Wikipedia](https://wikipedia.org/wiki/Cyclic_redundancy_check#Polynomial_representations_of_cyclic_redundancy_checks)Áüëeb - [Catalogue of parametrised CRC algorithms](https://reveng.sourceforge.io/crc-catalogue/all.htm)ÁüÑMJ - [CRC Polynomial Zoo](https://users.ece.cmu.edu/~koopman/crc/crc32.html)Á$P¬ þÌÀþÔäþ¬Š4”Ì®L^üm ,w

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skipÁl&„$ô CRC algorithms as structs.ÁL= !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ðL*ƒ„#üç"´6 # [`CRC-3/GSM`][1]ÁMú¼Q - `width`: `3` bitsÁüi%" - `poly`: `0x3` (reversed: `0x6`)Áœ - `init`: `0x0`Á´£ - `refin`: `false`Á¼º - `refout`: `false`Á¬Ò - `xorout`: `0x7`Á¤è - `check`: `0x4`Á´ý - `residue`: `0x2`Áúü˜NK [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-3-gsmÁeÉüÐ#¼Ÿ # [`CRC-3/ROHC`][1]Á·ú¼»¸õüÓ%Øõœù - `init`: `0x7`Á¬ - `refin`: `true`Á´£ - `refout`: `true`Á¬º - `xorout`: `0x0`Á¤Ð - `check`: `0x6`Á´å - `residue`: `0x0`Áüúü€OL [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-3-rohcÁÆÉüº
$ć # [`CRC-4/G-704`][1]Á ú¼¤ - `width`: `4` bitsÁü¼%" - `poly`: `0x3` (reversed: `0xc`)Áœâ†ö¬ö•ù´Œ ³ù¬£ Òù¤¹  - `check`: `0x7`Á´Î úå úüé PM [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-4-g-704ÁÉü±)ìò  # [`CRC-4/INTERLAKEN`][1]Á ú¼” Ñûü¬ %òûœÒ  - `init`: `0xf`Á´æ ¢ö¼ý Áö¬•
 - `xorout`: `0xf`Á¤«
 - `check`: `0xb`Á´À
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UR [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-4-interlakenÁ@Éü¬'Üð # [`CRC-5/EPC-C1G2`][1]ÁŒú¼ - `width`: `5` bitsÁü¨&# - `poly`: `0x9` (reversed: `0x12`)ÁœÏ - `init`: `0x9`Á´ã¢ö¼úÁö¬’Òù¤¨ - `check`: `0x0`Á´½úÔúüØSP [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-5-epc-c1g2Á˜Éüž$Äé # [`CRC-5/G-704`][1]Áú¼†ð€üž'$ - `poly`: `0x15` (reversed: `0x15`)ÁœÆ†ö¬Ú•ù´ð³ù¬‡Òù¤Ôü´²úÉúüÍPM [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-5-g-704Á¹ÉüŠ"´× # [`CRC-5/USB`][1]Áîú¼òð€üŠ&# - `poly`: `0x5` (reversed: `0x14`)Á¤± - `init`: `0x1f`Á¬Æ•ù´Ü³ù´ó - `xorout`: `0x1f`Á¬Š - `check`: `0x19`Á´  - `residue`: `0x6`Á·úü»NK [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-5-usbÁÉü…)ìà # [`CRC-6/CDMA2000-A`][1]Ááú¼å - `width`: `6` bitsÁüý'$ - `poly`: `0x27` (reversed: `0x39`)Á¤¥ - `init`: `0x3f`Á´º¢ö¼ÑÁö¬éÒù¤ÿ - `check`: `0xd`Á´”ú«úü¯UR [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-6-cdma2000-aÁxÉüˆ")ìÆ # [`CRC-6/CDMA2000-B`][1]Áäú¼èÿˆü€ &# - `poly`: `0x7` (reversed: `0x38`)Á¤§ Љ´¼ ¢ö¼Ó Áö¬ë Òù¬! - `check`: `0x3b`Á´—!ú®!úü²!UR [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-6-cdma2000-bÁ³Éüý%#¼É# # [`CRC-6/DARC`][1]Áá#ú¼å#ÿˆüý#'$ - `poly`: `0x19` (reversed: `0x26`)Áœ¥$†ö¬¹$•ù´Ï$³ù¬æ$Òù¬ü$ - `check`: `0x26`Á´’%ú©%úü­%OL [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-6-darcÁãÉüê)$Ķ' # [`CRC-6/G-704`][1]ÁÏ'ú¼Ó'ÿˆüë'&# - `poly`: `0x3` (reversed: `0x30`)Áœ’(†ö¬¦(•ù´¼(³ù¬Ó(Òù¤é(ðù´þ(ú•)úü™)PM [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-6-g-704Á!ÉüØ-"´¢+ # [`CRC-6/GSM`][1]Á¹+ú¼½+ÿˆüÕ+'$ - `poly`: `0x2f` (reversed: `0x3d`)Áœý+†ö´‘,¢ö¼¨,Áö´À, - `xorout`: `0x3f`Á¬×, - `check`: `0x13`Á¼í, - `residue`: `0x3a`Á…-úü‰-NK [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-6-gsmÁV"ÉüÇ1"´”/ # [`CRC-7/MMC`][1]Á«/ú¼¯/ - `width`: `7` bitsÁüÇ/&# - `poly`: `0x9` (reversed: `0x48`)Áœî/†ö´‚0¢ö¼™0Áö¬±0Òù¬Ç0 - `check`: `0x75`Á´Ý0úô0úüø0NK [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-7-mmcÁ#Éüµ5#¼€3 # [`CRC-7/ROHC`][1]Á˜3ú¼œ3‰–ü´3'$ - `poly`: `0x4f` (reversed: `0x79`)Á¤Ü3 - `init`: `0x7f`Á¬ñ3•ù´‡4³ù¬ž4Òù¬´4 - `check`: `0x53`Á´Ê4úá4úüå4OL [1]: https://reveng.sourceforge.io/crc-catalogue/all.htm#crc.cat.crc-7-rohcÁÖ$Éü¥9#¼ï6 # [`CRC-7/UMTS`][1]Á
£`Nª†ÓÍ爊Œ9;l…üƒ^[ The number of bit cells in the linear feedback shift register; the degree of the generatorÁÔæ polynomial, minus one.Á,‰ƒƒõü˜\Y The generator polynomial that sets the feedback tap positions of the shift register. TheÁüù\Y least significant bit corresponds to the inward end of the shift register, and is alwaysÁüÚ+( set. The highest-order term is omitted.Á$Žƒƒü›\Y The settings of the bit cells at the start of each calculation, before reading the firstÁüü_\ message bit. The least significant bit corresponds to the inward end of the shift register.Á$䃃 üñ_\ If equal to `false`, specifies that the characters of the message are read bit-by-bit, mostÁüÕ ^[ significant bit (MSB) first; if equal to `true`, the characters are read bit-by-bit, leastÁü¸
ZW significant bit (LSB) first. Each sampled message bit is then XORed with the bit beingÁü— ]Z simultaneously shifted out of the register at the most significant end, and the result isÁüù  passed to the feedback taps.Á,¢ ƒƒ„¤ü³ [X If equal to `false`, specifies that the contents of the register after reading the lastÁü“
_\ message bit are unreflected before presentation; if equal to `true`, it specifies that theyÁü÷
WT are reflected, character-by-character, before presentation. For the purpose of thisÁüÓ]Z definition, the reflection is performed by swapping the content of each cell with that ofÁüµ_\ the cell an equal distance from the opposite end of the register; the characters of the CRCÁü™YV are then true images of parts of the reflected register, the character containing theÁü÷(% original MSB always appearing first.Á4¨ƒƒüº]Z The XOR value applied to the contents of the register after the last message bit has beenÁüœ_\ read and after the optional reflection. It has the same endianness as the CRC such that itsÁü€41 true image appears in the characters of the CRC.Á4½ƒƒüÌ_\ The contents of the register after initialising, reading the UTF-8 string `"123456789"` (asÁü°IF 8-bit characters), optionally reflecting, and applying the final XOR.Á,ƒƒüWT The contents of the register after initialising, reading an error-free codeword andÁüìYV optionally reflecting the register (if [`refout`](Algorithm::refout)=`true`), but notÁüÊ_\ applying the final XOR. This is mathematically equivalent to initialising the register withÁü®_\ the xorout parameter, reflecting it as described (if [`refout`](Algorithm::refout)=`true`),Áü’_\ reading as many zero bits as there are cells in the register, and reflecting the result (ifÁüö\Y [`refin`](Algorithm::refin)=`true`). The residue of a crossed-endian model is calculatedÁü×^[ assuming that the characters of the received CRC are specially reflected before submittingÁŒº the codeword.Á<Ôƒƒ(º¨ŽŽÀª˜ ØóЪ¡ £ÙÀ à ]_ ££º
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