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								// Copyright 2015-2016 Espressif Systems (Shanghai) PTE LTD
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								//
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								// Licensed under the Apache License, Version 2.0 (the "License");
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								// you may not use this file except in compliance with the License.
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								// You may obtain a copy of the License at
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								//     http://www.apache.org/licenses/LICENSE-2.0
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								//
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								// Unless required by applicable law or agreed to in writing, software
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								// distributed under the License is distributed on an "AS IS" BASIS,
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								// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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								// See the License for the specific language governing permissions and
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								// limitations under the License.
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								#ifndef ROM_CRC_H
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								#define ROM_CRC_H
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								#include <stdint.h>
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								#define ESP_ROM_HAS_CRC8LE      1
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								#define ESP_ROM_HAS_CRC16LE     1
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								#define ESP_ROM_HAS_CRC32LE     1
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								#define ESP_ROM_HAS_CRC8BE      1
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								#define ESP_ROM_HAS_CRC16BE     1
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								#define ESP_ROM_HAS_CRC32BE     1
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								#ifdef __cplusplus
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								extern "C" {
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								#endif
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								/** \defgroup uart_apis, uart configuration and communication related apis
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								  * @brief uart apis
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								  */
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								/** @addtogroup uart_apis
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								  * @{
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								  */
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								/*           Notes about CRC APIs usage
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								 * The ESP32 ROM include some CRC tables and CRC APIs to speed up CRC calculation.
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								 * The CRC APIs include CRC8, CRC16, CRC32 algorithms for both little endian and big endian modes.
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								 * Here are the polynomials for the algorithms:
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								 * CRC-8        x8+x2+x1+1                                              0x07
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								 * CRC16-CCITT  x16+x12+x5+1                                            0x1021
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								 * CRC32        x32+x26+x23+x22+x16+x12+x11+x10+x8+x7+x5+x4+x2+x1+1     0x04c11db7
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								 *
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								 * These group of CRC APIs are designed to calculate the data in buffers either continuous or not.
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								 * To make it easy, we had added a `~` at the beginning and the end of the functions.
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								 * To calculate non-continuous buffers, we can write the code like this:
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								 *     init = ~init;
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								 *     crc = crc32_le(init, buf0, length0);
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								 *     crc = crc32_le(crc, buf1, length1);
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								 *     crc = ~crc;
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								 *
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								 * However, it is not easy to select which API to use and give the correct parameters.
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								 * A specific CRC algorithm will include this parameters: width, polynomials, init, refin, refout, xorout
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								 *     refin and refout show the endian of the algorithm:
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								 *         if both of them are true, please use the little endian API.
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								 *         if both of them are false, please use the big endian API.
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								 *     xorout is the value which you need to be xored to the raw result.
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								 * However, these group of APIs need one '~' before and after the APIs.
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								 *
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								 * Here are some examples for CRC16:
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								 * CRC-16/CCITT, poly = 0x1021, init = 0x0000, refin = true, refout = true, xorout = 0x0000
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								 *     crc = ~crc16_le((uint16_t)~0x0000, buf, length);
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								 *
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								 * CRC-16/CCITT-FALSE, poly = 0x1021, init = 0xffff, refin = false, refout = false, xorout = 0x0000
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								 *     crc = ~crc16_be((uint16_t)~0xffff, buf, length);
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								 *
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								 * CRC-16/X25, poly = 0x1021, init = 0xffff, refin = true, refout = true, xorout = 0xffff
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								 *     crc = (~crc16_le((uint16_t)~(0xffff), buf, length))^0xffff;
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								 *
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								 * CRC-16/XMODEM, poly= 0x1021, init = 0x0000, refin = false, refout = false, xorout = 0x0000
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								 *     crc = ~crc16_be((uint16_t)~0x0000, buf, length);
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								 *
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								 *
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								 */
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								/**
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								  * @brief CRC32 value that is in little endian.
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								  *
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								  * @param  uint32_t crc : init crc value, use 0 at the first use.
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								  *
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								  * @param  uint8_t const *buf : buffer to start calculate crc.
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								  *
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								  * @param  uint32_t len : buffer length in byte.
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								  *
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								  * @return None
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								  */
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								uint32_t crc32_le(uint32_t crc, uint8_t const *buf, uint32_t len);
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								/**
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								  * @brief CRC32 value that is in big endian.
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								  *
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								  * @param  uint32_t crc : init crc value, use 0 at the first use.
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								  *
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								  * @param  uint8_t const *buf : buffer to start calculate crc.
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								  *
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								  * @param  uint32_t len : buffer length in byte.
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								  *
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								  * @return None
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								  */
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								uint32_t crc32_be(uint32_t crc, uint8_t const *buf, uint32_t len);
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								/**
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								  * @brief CRC16 value that is in little endian.
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								  *
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								  * @param  uint16_t crc : init crc value, use 0 at the first use.
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								  *
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								  * @param  uint8_t const *buf : buffer to start calculate crc.
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								  *
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								  * @param  uint32_t len : buffer length in byte.
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								  *
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								  * @return None
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								  */
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								uint16_t crc16_le(uint16_t crc, uint8_t const *buf, uint32_t len);
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								/**
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								  * @brief CRC16 value that is in big endian.
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								  *
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								  * @param  uint16_t crc : init crc value, use 0 at the first use.
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								  *
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								  * @param  uint8_t const *buf : buffer to start calculate crc.
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								  *
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								  * @param  uint32_t len : buffer length in byte.
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								  *
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								  * @return None
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								  */
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								uint16_t crc16_be(uint16_t crc, uint8_t const *buf, uint32_t len);
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								/**
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								  * @brief CRC8 value that is in little endian.
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								  *
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								  * @param  uint8_t crc : init crc value, use 0 at the first use.
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								  *
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								  * @param  uint8_t const *buf : buffer to start calculate crc.
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								  *
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								  * @param  uint32_t len : buffer length in byte.
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								  *
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								  * @return None
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								  */
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								uint8_t crc8_le(uint8_t crc, uint8_t const *buf, uint32_t len);
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								/**
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								  * @brief CRC8 value that is in big endian.
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								  *
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								  * @param  uint32_t crc : init crc value, use 0 at the first use.
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								  *
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								  * @param  uint8_t const *buf : buffer to start calculate crc.
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								  *
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								  * @param  uint32_t len : buffer length in byte.
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								  *
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								  * @return None
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								  */
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								uint8_t crc8_be(uint8_t crc, uint8_t const *buf, uint32_t len);
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								/**
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								  * @}
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								  */
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								#ifdef __cplusplus
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								}
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								#endif
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								#endif
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