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"manual": 8,
"Ennnnnn": 1,
"available": 6,
"nnnnnn.": 1,
"base": 8,
"registers": 12,
"following": 2,
"externals": 1,
"bcm2835_gpio": 2,
"bcm2835_pwm": 2,
"bcm2835_clk": 2,
"bcm2835_pads": 2,
"bcm2835_spio0": 1,
"bcm2835_st": 1,
"bcm2835_bsc0": 1,
"bcm2835_bsc1": 1,
"Numbering": 1,
"numbering": 1,
"different": 5,
"inconsistent": 1,
"underlying": 4,
"numbering.": 1,
"//elinux.org/RPi_BCM2835_GPIOs": 1,
"some": 4,
"well": 1,
"power": 1,
"ground": 1,
"pins.": 1,
"Not": 4,
"header.": 1,
"Version": 40,
"P5": 6,
"connector": 1,
"V": 2,
"Gnd.": 1,
"passed": 4,
"number": 52,
"_not_": 1,
"number.": 1,
"There": 1,
"symbolic": 1,
"definitions": 3,
"each": 7,
"should": 10,
"convenience.": 1,
"See": 7,
"ref": 32,
"RPiGPIOPin.": 22,
"Pins": 2,
"bcm2835_spi_*": 1,
"allow": 5,
"SPI0": 17,
"send": 3,
"received": 3,
"Serial": 3,
"Peripheral": 6,
"Interface": 2,
"For": 6,
"more": 4,
"information": 3,
"about": 6,
"see": 14,
"//en.wikipedia.org/wiki/Serial_Peripheral_Interface_Bus": 1,
"When": 12,
"bcm2835_spi_begin": 3,
"called": 13,
"changes": 2,
"bahaviour": 1,
"their": 6,
"default": 14,
"behaviour": 1,
"order": 14,
"support": 4,
"SPI.": 1,
"While": 1,
"able": 2,
"state": 33,
"through": 4,
"bcm2835_spi_gpio_write": 1,
"bcm2835_spi_end": 4,
"revert": 1,
"configured": 1,
"controled": 1,
"bcm2835_gpio_*": 1,
"calls.": 1,
"P1": 56,
"MOSI": 8,
"MISO": 6,
"CLK": 6,
"CE0": 5,
"CE1": 6,
"bcm2835_i2c_*": 2,
"BSC": 10,
"generically": 1,
"referred": 1,
"I": 4,
"//en.wikipedia.org/wiki/I": 1,
"%": 7,
"C2": 1,
"B2C": 1,
"V2": 2,
"SDA": 3,
"SLC": 1,
"Real": 1,
"Time": 1,
"performance": 2,
"constraints": 2,
"user": 3,
"i.e.": 1,
"they": 2,
"run": 2,
"Such": 1,
"part": 1,
"kernel": 4,
"usually": 2,
"subject": 1,
"paging": 1,
"swapping": 2,
"while": 17,
"does": 4,
"things": 1,
"besides": 1,
"running": 1,
"your": 12,
"program.": 1,
"means": 8,
"expect": 2,
"get": 5,
"real": 4,
"time": 10,
"timing": 3,
"programs.": 1,
"In": 2,
"particular": 1,
"there": 4,
"guarantee": 1,
"bcm2835_delay": 5,
"bcm2835_delayMicroseconds": 6,
"return": 240,
"exactly": 2,
"requested.": 1,
"fact": 2,
"depending": 1,
"activity": 1,
"host": 1,
"etc": 1,
"might": 1,
"significantly": 1,
"longer": 1,
"delay": 9,
"times": 2,
"than": 6,
"one": 73,
"asked": 1,
"for.": 1,
"So": 1,
"please": 2,
"dont": 1,
"request.": 1,
"Arjan": 2,
"reports": 1,
"prevent": 4,
"fragment": 2,
"struct": 13,
"sched_param": 1,
"sp": 4,
"memset": 3,
"&": 203,
"sizeof": 15,
"sp.sched_priority": 1,
"sched_get_priority_max": 1,
"SCHED_FIFO": 2,
"sched_setscheduler": 1,
"mlockall": 1,
"MCL_CURRENT": 1,
"|": 40,
"MCL_FUTURE": 1,
"Open": 2,
"Source": 2,
"Licensing": 2,
"GPL": 2,
"appropriate": 7,
"option": 1,
"if": 359,
"want": 5,
"share": 2,
"source": 12,
"application": 2,
"everyone": 1,
"distribute": 1,
"give": 2,
"them": 1,
"right": 9,
"who": 1,
"uses": 4,
"it.": 3,
"wish": 2,
"software": 1,
"under": 2,
"contribute": 1,
"open": 6,
"community": 1,
"accordance": 1,
"distributed.": 1,
"//www.gnu.org/copyleft/gpl.html": 1,
"COPYING": 1,
"Acknowledgements": 1,
"Some": 1,
"inspired": 2,
"Dom": 1,
"Gert.": 1,
"Alan": 1,
"Barr.": 1,
"Revision": 1,
"History": 1,
"Initial": 1,
"release": 1,
"Minor": 1,
"bug": 1,
"fixes": 1,
"Added": 11,
"bcm2835_spi_transfern": 3,
"Fixed": 4,
"problem": 2,
"prevented": 1,
"being": 4,
"used.": 2,
"Reported": 5,
"David": 1,
"Robinson.": 1,
"bcm2835_close": 4,
"deinit": 1,
"library.": 3,
"Suggested": 1,
"sar": 1,
"Ortiz": 1,
"Document": 1,
"testing": 2,
"Functions": 1,
"bcm2835_gpio_ren": 3,
"bcm2835_gpio_fen": 3,
"bcm2835_gpio_hen": 3,
"bcm2835_gpio_aren": 3,
"bcm2835_gpio_afen": 3,
"now": 4,
"only": 6,
"specified.": 1,
"Other": 1,
"were": 1,
"already": 1,
"previously": 10,
"enabled": 4,
"stay": 1,
"enabled.": 1,
"bcm2835_gpio_clr_ren": 2,
"bcm2835_gpio_clr_fen": 2,
"bcm2835_gpio_clr_hen": 2,
"bcm2835_gpio_clr_len": 2,
"bcm2835_gpio_clr_aren": 2,
"bcm2835_gpio_clr_afen": 2,
"clear": 3,
"enable": 3,
"individual": 1,
"suggested": 3,
"Andreas": 1,
"Sundstrom.": 1,
"bcm2835_spi_transfernb": 2,
"buffers": 3,
"read": 21,
"write.": 1,
"Improvements": 3,
"barrier": 3,
"maddin.": 1,
"contributed": 1,
"mikew": 1,
"noticed": 1,
"was": 6,
"mallocing": 1,
"memory": 14,
"mmaps": 1,
"/dev/mem.": 1,
"ve": 4,
"removed": 1,
"mallocs": 1,
"frees": 1,
"found": 1,
"calling": 9,
"nanosleep": 7,
"takes": 1,
"least": 2,
"us.": 1,
"need": 6,
"link": 3,
"version.": 1,
"s": 26,
"doc": 1,
"Also": 1,
"added": 2,
"define": 2,
"passwrd": 1,
"value": 50,
"Gert": 1,
"says": 1,
"needed": 3,
"change": 3,
"pad": 4,
"settings.": 1,
"Changed": 1,
"names": 3,
"collisions": 1,
"wiringPi.": 1,
"Macros": 2,
"delayMicroseconds": 3,
"disabled": 2,
"defining": 1,
"BCM2835_NO_DELAY_COMPATIBILITY": 2,
"incorrect": 2,
"New": 6,
"mapping": 3,
"Hardware": 1,
"pointers": 2,
"initialisation": 2,
"externally": 1,
"bcm2835_spi0.": 1,
"Now": 4,
"compiles": 1,
"even": 2,
"CLOCK_MONOTONIC_RAW": 1,
"CLOCK_MONOTONIC": 3,
"instead.": 1,
"errors": 1,
"divider": 15,
"frequencies": 2,
"MHz": 14,
"clock.": 6,
"Ben": 1,
"Simpson.": 1,
"end": 23,
"examples": 1,
"Mark": 5,
"Wolfe.": 1,
"bcm2835_gpio_set_multi": 2,
"bcm2835_gpio_clr_multi": 2,
"bcm2835_gpio_write_multi": 4,
"mask": 20,
"once.": 1,
"Requested": 2,
"Sebastian": 2,
"Loncar.": 2,
"bcm2835_gpio_write_mask.": 1,
"Changes": 1,
"timer": 2,
"counter": 1,
"instead": 4,
"clock_gettime": 1,
"improved": 1,
"accuracy.": 1,
"No": 2,
"lrt": 1,
"now.": 1,
"Contributed": 1,
"van": 1,
"Vught.": 1,
"Removed": 1,
"inlines": 1,
"previous": 6,
"patch": 1,
"since": 3,
"don": 1,
"t": 15,
"seem": 1,
"work": 1,
"everywhere.": 1,
"olly.": 1,
"Patch": 2,
"Dootson": 2,
"close": 7,
"/dev/mem": 4,
"granted.": 1,
"susceptible": 1,
"bit": 19,
"overruns.": 1,
"courtesy": 1,
"Jeremy": 1,
"Mortis.": 1,
"definition": 3,
"BCM2835_GPFEN0": 2,
"broke": 1,
"ability": 1,
"falling": 4,
"edge": 8,
"events.": 1,
"Dootson.": 2,
"bcm2835_i2c_set_baudrate": 2,
"bcm2835_i2c_read_register_rs.": 1,
"bcm2835_i2c_read": 4,
"bcm2835_i2c_write": 4,
"fix": 1,
"ocasional": 1,
"reads": 2,
"completing.": 1,
"Patched": 1,
"p": 6,
"[": 293,
"atched": 1,
"his": 1,
"submitted": 1,
"high": 5,
"load": 1,
"processes.": 1,
"Updated": 1,
"distribution": 1,
"location": 6,
"details": 1,
"airspayce.com": 1,
"missing": 1,
"unmapmem": 1,
"pads": 7,
"leak.": 1,
"Hartmut": 1,
"Henkel.": 1,
"Mike": 1,
"McCauley": 1,
"mikem@airspayce.com": 1,
"DO": 1,
"NOT": 3,
"CONTACT": 1,
"THE": 2,
"AUTHOR": 1,
"DIRECTLY": 1,
"USE": 1,
"LISTS": 1,
"#ifndef": 29,
"BCM2835_H": 3,
"#define": 343,
"#include": 129,
"<stdint.h>": 2,
"defgroup": 7,
"constants": 1,
"Constants": 1,
"passing": 1,
"values": 3,
"here": 1,
"@": 14,
"HIGH": 12,
"true": 49,
"volts": 2,
"pin.": 21,
"false": 48,
"Speed": 1,
"core": 1,
"clock": 21,
"core_clk": 1,
"BCM2835_CORE_CLK_HZ": 1,
"<": 255,
"Base": 17,
"Address": 10,
"BCM2835_PERI_BASE": 9,
"System": 10,
"Timer": 9,
"BCM2835_ST_BASE": 1,
"BCM2835_GPIO_PADS": 2,
"Clock/timer": 1,
"BCM2835_CLOCK_BASE": 1,
"BCM2835_GPIO_BASE": 6,
"BCM2835_SPI0_BASE": 1,
"BSC0": 2,
"BCM2835_BSC0_BASE": 1,
"PWM": 2,
"BCM2835_GPIO_PWM": 1,
"C000": 1,
"BSC1": 2,
"BCM2835_BSC1_BASE": 1,
"ST": 1,
"registers.": 10,
"Available": 8,
"bcm2835_init": 11,
"extern": 72,
"volatile": 13,
"uint32_t": 39,
"*bcm2835_st": 1,
"*bcm2835_gpio": 1,
"*bcm2835_pwm": 1,
"*bcm2835_clk": 1,
"PADS": 1,
"*bcm2835_pads": 1,
"*bcm2835_spi0": 1,
"*bcm2835_bsc0": 1,
"*bcm2835_bsc1": 1,
"Size": 2,
"page": 5,
"BCM2835_PAGE_SIZE": 1,
"*1024": 2,
"block": 7,
"BCM2835_BLOCK_SIZE": 1,
"offsets": 2,
"BCM2835_GPIO_BASE.": 1,
"Offsets": 1,
"into": 6,
"bytes": 29,
"per": 3,
"Register": 1,
"View": 1,
"BCM2835_GPFSEL0": 1,
"Function": 8,
"Select": 49,
"BCM2835_GPFSEL1": 1,
"BCM2835_GPFSEL2": 1,
"BCM2835_GPFSEL3": 1,
"c": 72,
"BCM2835_GPFSEL4": 1,
"BCM2835_GPFSEL5": 1,
"BCM2835_GPSET0": 1,
"Output": 6,
"Set": 2,
"BCM2835_GPSET1": 1,
"BCM2835_GPCLR0": 1,
"Clear": 18,
"BCM2835_GPCLR1": 1,
"BCM2835_GPLEV0": 1,
"Level": 2,
"BCM2835_GPLEV1": 1,
"BCM2835_GPEDS0": 1,
"Event": 11,
"Detect": 35,
"Status": 6,
"BCM2835_GPEDS1": 1,
"BCM2835_GPREN0": 1,
"Rising": 8,
"Edge": 16,
"Enable": 38,
"BCM2835_GPREN1": 1,
"Falling": 8,
"BCM2835_GPFEN1": 1,
"BCM2835_GPHEN0": 1,
"High": 4,
"BCM2835_GPHEN1": 1,
"BCM2835_GPLEN0": 1,
"Low": 5,
"BCM2835_GPLEN1": 1,
"BCM2835_GPAREN0": 1,
"Async.": 4,
"BCM2835_GPAREN1": 1,
"BCM2835_GPAFEN0": 1,
"BCM2835_GPAFEN1": 1,
"BCM2835_GPPUD": 1,
"Pull": 11,
"up/down": 10,
"BCM2835_GPPUDCLK0": 1,
"Clock": 11,
"BCM2835_GPPUDCLK1": 1,
"brief": 12,
"bcm2835PortFunction": 1,
"Port": 1,
"function": 19,
"select": 9,
"modes": 1,
"bcm2835_gpio_fsel": 2,
"typedef": 50,
"enum": 17,
"BCM2835_GPIO_FSEL_INPT": 1,
"b000": 1,
"Input": 2,
"BCM2835_GPIO_FSEL_OUTP": 1,
"b001": 1,
"BCM2835_GPIO_FSEL_ALT0": 1,
"b100": 1,
"Alternate": 6,
"BCM2835_GPIO_FSEL_ALT1": 1,
"b101": 1,
"BCM2835_GPIO_FSEL_ALT2": 1,
"b110": 1,
"BCM2835_GPIO_FSEL_ALT3": 1,
"b111": 2,
"BCM2835_GPIO_FSEL_ALT4": 1,
"b011": 1,
"BCM2835_GPIO_FSEL_ALT5": 1,
"b010": 1,
"BCM2835_GPIO_FSEL_MASK": 1,
"bits": 11,
"bcm2835FunctionSelect": 2,
"bcm2835PUDControl": 4,
"Pullup/Pulldown": 1,
"defines": 3,
"bcm2835_gpio_pud": 5,
"BCM2835_GPIO_PUD_OFF": 1,
"b00": 1,
"Off": 3,
"pull": 1,
"BCM2835_GPIO_PUD_DOWN": 1,
"b01": 1,
"Down": 1,
"BCM2835_GPIO_PUD_UP": 1,
"b10": 1,
"Up": 1,
"Pad": 11,
"BCM2835_PADS_GPIO_0_27": 1,
"BCM2835_PADS_GPIO_28_45": 1,
"BCM2835_PADS_GPIO_46_53": 1,
"Control": 6,
"masks": 1,
"BCM2835_PAD_PASSWRD": 1,
"A": 7,
"<<": 29,
"Password": 1,
"BCM2835_PAD_SLEW_RATE_UNLIMITED": 1,
"Slew": 1,
"rate": 3,
"unlimited": 1,
"BCM2835_PAD_HYSTERESIS_ENABLED": 1,
"Hysteresis": 1,
"BCM2835_PAD_DRIVE_2mA": 1,
"mA": 8,
"drive": 8,
"current": 26,
"BCM2835_PAD_DRIVE_4mA": 1,
"BCM2835_PAD_DRIVE_6mA": 1,
"BCM2835_PAD_DRIVE_8mA": 1,
"BCM2835_PAD_DRIVE_10mA": 1,
"BCM2835_PAD_DRIVE_12mA": 1,
"BCM2835_PAD_DRIVE_14mA": 1,
"BCM2835_PAD_DRIVE_16mA": 1,
"bcm2835PadGroup": 4,
"specification": 1,
"bcm2835_gpio_pad": 2,
"BCM2835_PAD_GROUP_GPIO_0_27": 1,
"BCM2835_PAD_GROUP_GPIO_28_45": 1,
"BCM2835_PAD_GROUP_GPIO_46_53": 1,
"Numbers": 1,
"Here": 1,
"we": 10,
"terms": 4,
"numbers.": 1,
"These": 6,
"requiring": 1,
"bin": 1,
"connected": 1,
"adopt": 1,
"alternate": 7,
"function.": 3,
"slightly": 1,
"pinouts": 1,
"these": 1,
"RPI_V2_*.": 1,
"At": 1,
"bootup": 1,
"UART0_TXD": 3,
"UART0_RXD": 3,
"ie": 3,
"alt0": 1,
"respectively": 1,
"dedicated": 1,
"cant": 1,
"controlled": 1,
"independently": 1,
"RPI_GPIO_P1_03": 6,
"RPI_GPIO_P1_05": 6,
"RPI_GPIO_P1_07": 1,
"RPI_GPIO_P1_08": 1,
"defaults": 4,
"alt": 4,
"RPI_GPIO_P1_10": 1,
"RPI_GPIO_P1_11": 1,
"RPI_GPIO_P1_12": 1,
"RPI_GPIO_P1_13": 1,
"RPI_GPIO_P1_15": 1,
"RPI_GPIO_P1_16": 1,
"RPI_GPIO_P1_18": 1,
"RPI_GPIO_P1_19": 1,
"RPI_GPIO_P1_21": 1,
"RPI_GPIO_P1_22": 1,
"RPI_GPIO_P1_23": 1,
"RPI_GPIO_P1_24": 1,
"RPI_GPIO_P1_26": 1,
"RPI_V2_GPIO_P1_03": 1,
"RPI_V2_GPIO_P1_05": 1,
"RPI_V2_GPIO_P1_07": 1,
"RPI_V2_GPIO_P1_08": 1,
"RPI_V2_GPIO_P1_10": 1,
"RPI_V2_GPIO_P1_11": 1,
"RPI_V2_GPIO_P1_12": 1,
"RPI_V2_GPIO_P1_13": 1,
"RPI_V2_GPIO_P1_15": 1,
"RPI_V2_GPIO_P1_16": 1,
"RPI_V2_GPIO_P1_18": 1,
"RPI_V2_GPIO_P1_19": 1,
"RPI_V2_GPIO_P1_21": 1,
"RPI_V2_GPIO_P1_22": 1,
"RPI_V2_GPIO_P1_23": 1,
"RPI_V2_GPIO_P1_24": 1,
"RPI_V2_GPIO_P1_26": 1,
"RPI_V2_GPIO_P5_03": 1,
"RPI_V2_GPIO_P5_04": 1,
"RPI_V2_GPIO_P5_05": 1,
"RPI_V2_GPIO_P5_06": 1,
"RPiGPIOPin": 1,
"BCM2835_SPI0_CS": 1,
"Master": 12,
"BCM2835_SPI0_FIFO": 1,
"TX": 5,
"RX": 7,
"FIFOs": 1,
"BCM2835_SPI0_CLK": 1,
"Divider": 2,
"BCM2835_SPI0_DLEN": 1,
"Data": 9,
"Length": 2,
"BCM2835_SPI0_LTOH": 1,
"LOSSI": 1,
"mode": 24,
"TOH": 1,
"BCM2835_SPI0_DC": 1,
"DMA": 3,
"DREQ": 1,
"Controls": 1,
"BCM2835_SPI0_CS_LEN_LONG": 1,
"Long": 1,
"word": 7,
"Lossi": 2,
"DMA_LEN": 1,
"BCM2835_SPI0_CS_DMA_LEN": 1,
"BCM2835_SPI0_CS_CSPOL2": 1,
"Chip": 9,
"Polarity": 5,
"BCM2835_SPI0_CS_CSPOL1": 1,
"BCM2835_SPI0_CS_CSPOL0": 1,
"BCM2835_SPI0_CS_RXF": 1,
"RXF": 2,
"FIFO": 25,
"Full": 1,
"BCM2835_SPI0_CS_RXR": 1,
"RXR": 3,
"needs": 4,
"Reading": 1,
"full": 9,
"BCM2835_SPI0_CS_TXD": 1,
"TXD": 2,
"accept": 2,
"BCM2835_SPI0_CS_RXD": 1,
"RXD": 2,
"contains": 2,
"BCM2835_SPI0_CS_DONE": 1,
"Done": 3,
"transfer": 8,
"BCM2835_SPI0_CS_TE_EN": 1,
"Unused": 2,
"BCM2835_SPI0_CS_LMONO": 1,
"BCM2835_SPI0_CS_LEN": 1,
"LEN": 1,
"LoSSI": 1,
"BCM2835_SPI0_CS_REN": 1,
"REN": 1,
"Read": 3,
"BCM2835_SPI0_CS_ADCS": 1,
"ADCS": 1,
"Automatically": 1,
"Deassert": 1,
"BCM2835_SPI0_CS_INTR": 1,
"INTR": 1,
"Interrupt": 5,
"BCM2835_SPI0_CS_INTD": 1,
"INTD": 1,
"BCM2835_SPI0_CS_DMAEN": 1,
"DMAEN": 1,
"BCM2835_SPI0_CS_TA": 1,
"Transfer": 3,
"Active": 2,
"BCM2835_SPI0_CS_CSPOL": 1,
"BCM2835_SPI0_CS_CLEAR": 1,
"BCM2835_SPI0_CS_CLEAR_RX": 1,
"BCM2835_SPI0_CS_CLEAR_TX": 1,
"BCM2835_SPI0_CS_CPOL": 1,
"BCM2835_SPI0_CS_CPHA": 1,
"Phase": 1,
"BCM2835_SPI0_CS_CS": 1,
"bcm2835SPIBitOrder": 3,
"Bit": 1,
"Specifies": 5,
"ordering": 4,
"bcm2835_spi_setBitOrder": 2,
"BCM2835_SPI_BIT_ORDER_LSBFIRST": 1,
"LSB": 1,
"First": 2,
"BCM2835_SPI_BIT_ORDER_MSBFIRST": 1,
"MSB": 1,
"Specify": 2,
"bcm2835_spi_setDataMode": 2,
"BCM2835_SPI_MODE0": 1,
"CPOL": 4,
"CPHA": 4,
"BCM2835_SPI_MODE1": 1,
"BCM2835_SPI_MODE2": 1,
"BCM2835_SPI_MODE3": 1,
"bcm2835SPIMode": 2,
"bcm2835SPIChipSelect": 3,
"BCM2835_SPI_CS0": 1,
"BCM2835_SPI_CS1": 1,
"BCM2835_SPI_CS2": 1,
"CS1": 1,
"CS2": 1,
"asserted": 3,
"BCM2835_SPI_CS_NONE": 1,
"CS": 5,
"yourself": 1,
"bcm2835SPIClockDivider": 3,
"generate": 2,
"Figures": 1,
"below": 1,
"period": 1,
"frequency.": 1,
"divided": 2,
"nominal": 2,
"reported": 2,
"contrary": 1,
"may": 9,
"shown": 1,
"have": 4,
"confirmed": 1,
"measurement": 2,
"BCM2835_SPI_CLOCK_DIVIDER_65536": 1,
"us": 12,
"kHz": 10,
"BCM2835_SPI_CLOCK_DIVIDER_32768": 1,
"BCM2835_SPI_CLOCK_DIVIDER_16384": 1,
"BCM2835_SPI_CLOCK_DIVIDER_8192": 1,
"/51757813kHz": 1,
"BCM2835_SPI_CLOCK_DIVIDER_4096": 1,
"BCM2835_SPI_CLOCK_DIVIDER_2048": 1,
"BCM2835_SPI_CLOCK_DIVIDER_1024": 1,
"BCM2835_SPI_CLOCK_DIVIDER_512": 1,
"BCM2835_SPI_CLOCK_DIVIDER_256": 1,
"BCM2835_SPI_CLOCK_DIVIDER_128": 1,
"ns": 9,
"BCM2835_SPI_CLOCK_DIVIDER_64": 1,
"BCM2835_SPI_CLOCK_DIVIDER_32": 1,
"BCM2835_SPI_CLOCK_DIVIDER_16": 1,
"BCM2835_SPI_CLOCK_DIVIDER_8": 1,
"BCM2835_SPI_CLOCK_DIVIDER_4": 1,
"BCM2835_SPI_CLOCK_DIVIDER_2": 1,
"fastest": 1,
"BCM2835_SPI_CLOCK_DIVIDER_1": 1,
"same": 3,
"/65536": 1,
"BCM2835_BSC_C": 1,
"BCM2835_BSC_S": 1,
"BCM2835_BSC_DLEN": 1,
"BCM2835_BSC_A": 1,
"Slave": 1,
"BCM2835_BSC_FIFO": 1,
"BCM2835_BSC_DIV": 1,
"BCM2835_BSC_DEL": 1,
"Delay": 4,
"BCM2835_BSC_CLKT": 1,
"Stretch": 2,
"Timeout": 2,
"BCM2835_BSC_C_I2CEN": 1,
"BCM2835_BSC_C_INTR": 1,
"BCM2835_BSC_C_INTT": 1,
"BCM2835_BSC_C_INTD": 1,
"DONE": 2,
"BCM2835_BSC_C_ST": 1,
"Start": 4,
"new": 13,
"BCM2835_BSC_C_CLEAR_1": 1,
"BCM2835_BSC_C_CLEAR_2": 1,
"BCM2835_BSC_C_READ": 1,
"BCM2835_BSC_S_CLKT": 1,
"stretch": 1,
"timeout": 5,
"BCM2835_BSC_S_ERR": 1,
"ACK": 1,
"error": 8,
"BCM2835_BSC_S_RXF": 1,
"BCM2835_BSC_S_TXE": 1,
"TXE": 1,
"BCM2835_BSC_S_RXD": 1,
"BCM2835_BSC_S_TXD": 1,
"BCM2835_BSC_S_RXR": 1,
"BCM2835_BSC_S_TXW": 1,
"TXW": 1,
"writing": 2,
"BCM2835_BSC_S_DONE": 1,
"BCM2835_BSC_S_TA": 1,
"BCM2835_BSC_FIFO_SIZE": 1,
"size": 13,
"bcm2835I2CClockDivider": 3,
"BCM2835_I2C_CLOCK_DIVIDER_2500": 1,
"BCM2835_I2C_CLOCK_DIVIDER_626": 1,
"BCM2835_I2C_CLOCK_DIVIDER_150": 1,
"reset": 1,
"BCM2835_I2C_CLOCK_DIVIDER_148": 1,
"bcm2835I2CReasonCodes": 5,
"reason": 4,
"codes": 1,
"BCM2835_I2C_REASON_OK": 1,
"Success": 1,
"BCM2835_I2C_REASON_ERROR_NACK": 1,
"Received": 4,
"NACK": 1,
"BCM2835_I2C_REASON_ERROR_CLKT": 1,
"BCM2835_I2C_REASON_ERROR_DATA": 1,
"sent": 1,
"/": 16,
"BCM2835_ST_CS": 1,
"Control/Status": 1,
"BCM2835_ST_CLO": 1,
"Counter": 4,
"Lower": 2,
"BCM2835_ST_CHI": 1,
"Upper": 1,
"BCM2835_PWM_CONTROL": 1,
"BCM2835_PWM_STATUS": 1,
"BCM2835_PWM0_RANGE": 1,
"BCM2835_PWM0_DATA": 1,
"BCM2835_PWM1_RANGE": 1,
"BCM2835_PWM1_DATA": 1,
"BCM2835_PWMCLK_CNTL": 1,
"BCM2835_PWMCLK_DIV": 1,
"BCM2835_PWM1_MS_MODE": 1,
"Run": 4,
"MS": 2,
"BCM2835_PWM1_USEFIFO": 1,
"BCM2835_PWM1_REVPOLAR": 1,
"Reverse": 2,
"polarity": 3,
"BCM2835_PWM1_OFFSTATE": 1,
"Ouput": 2,
"BCM2835_PWM1_REPEATFF": 1,
"Repeat": 2,
"last": 6,
"empty": 2,
"BCM2835_PWM1_SERIAL": 1,
"serial": 2,
"BCM2835_PWM1_ENABLE": 1,
"Channel": 2,
"BCM2835_PWM0_MS_MODE": 1,
"BCM2835_PWM0_USEFIFO": 1,
"BCM2835_PWM0_REVPOLAR": 1,
"BCM2835_PWM0_OFFSTATE": 1,
"BCM2835_PWM0_REPEATFF": 1,
"BCM2835_PWM0_SERIAL": 1,
"BCM2835_PWM0_ENABLE": 1,
"x": 86,
"#endif": 110,
"#ifdef": 19,
"__cplusplus": 12,
"init": 2,
"Library": 1,
"management": 1,
"intialise": 1,
"Initialise": 1,
"opening": 1,
"getting": 1,
"internal": 47,
"device": 7,
"call": 4,
"successfully": 1,
"before": 7,
"bcm2835_set_debug": 2,
"fails": 1,
"returning": 1,
"result": 8,
"crashes": 1,
"failures.": 1,
"Prints": 1,
"messages": 1,
"stderr": 1,
"case": 34,
"errors.": 1,
"successful": 2,
"else": 58,
"int": 218,
"Close": 1,
"deallocating": 1,
"allocated": 2,
"closing": 3,
"Sets": 24,
"debug": 6,
"prevents": 1,
"makes": 1,
"print": 5,
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"what": 2,
"would": 2,
"do": 13,
"rather": 2,
"causes": 1,
"normal": 1,
"operation.": 2,
"Call": 2,
"param": 72,
"]": 292,
"level.": 3,
"uint8_t": 43,
"lowlevel": 2,
"provide": 1,
"generally": 1,
"Reads": 5,
"done": 3,
"twice": 3,
"therefore": 6,
"always": 3,
"safe": 4,
"precautions": 3,
"correct": 3,
"paddr": 10,
"from.": 6,
"etc.": 5,
"sa": 30,
"uint32_t*": 7,
"without": 3,
"within": 4,
"occurred": 2,
"since.": 2,
"bcm2835_peri_read_nb": 1,
"Writes": 2,
"write": 8,
"bcm2835_peri_write_nb": 1,
"Alters": 1,
"regsiter.": 1,
"valu": 1,
"alters": 1,
"deines": 1,
"according": 1,
"value.": 2,
"All": 1,
"unaffected.": 1,
"Use": 8,
"alter": 2,
"subset": 1,
"register.": 3,
"masked": 2,
"mask.": 1,
"Bitmask": 1,
"altered": 1,
"gpio": 1,
"interface.": 3,
"input": 12,
"output": 21,
"state.": 1,
"given": 16,
"configures": 1,
"RPI_GPIO_P1_*": 21,
"Mode": 1,
"BCM2835_GPIO_FSEL_*": 1,
"specified": 27,
"HIGH.": 2,
"bcm2835_gpio_write": 3,
"bcm2835_gpio_set": 1,
"LOW.": 5,
"bcm2835_gpio_clr": 1,
"first": 13,
"Mask": 6,
"affect.": 4,
"eg": 5,
"returns": 4,
"either": 4,
"Works": 1,
"whether": 4,
"output.": 1,
"bcm2835_gpio_lev": 1,
"Status.": 7,
"Tests": 1,
"detected": 7,
"requested": 1,
"flag": 3,
"bcm2835_gpio_set_eds": 2,
"status": 1,
"th": 1,
"true.": 2,
"bcm2835_gpio_eds": 1,
"effect": 3,
"clearing": 1,
"flag.": 1,
"afer": 1,
"seeing": 1,
"rising": 3,
"sets": 8,
"GPRENn": 2,
"synchronous": 2,
"detection.": 2,
"signal": 4,
"sampled": 6,
"looking": 2,
"pattern": 2,
"signal.": 2,
"suppressing": 2,
"glitches.": 2,
"Disable": 6,
"Asynchronous": 6,
"incoming": 2,
"As": 2,
"edges": 2,
"very": 2,
"short": 5,
"duration": 2,
"detected.": 2,
"bcm2835_gpio_pudclk": 3,
"resistor": 1,
"However": 3,
"convenient": 2,
"bcm2835_gpio_set_pud": 4,
"pud": 4,
"desired": 7,
"mode.": 4,
"One": 3,
"BCM2835_GPIO_PUD_*": 2,
"Clocks": 3,
"earlier": 1,
"remove": 2,
"group.": 2,
"BCM2835_PAD_GROUP_GPIO_*": 2,
"BCM2835_PAD_*": 2,
"bcm2835_gpio_set_pad": 1,
"Delays": 3,
"milliseconds.": 1,
"Uses": 4,
"CPU": 5,
"until": 1,
"up.": 1,
"mercy": 2,
"From": 2,
"interval": 4,
"req": 2,
"exact": 2,
"multiple": 2,
"granularity": 2,
"rounded": 2,
"next": 9,
"multiple.": 2,
"Furthermore": 2,
"sleep": 2,
"completes": 2,
"still": 3,
"becomes": 2,
"free": 4,
"once": 5,
"again": 2,
"execute": 3,
"thread.": 2,
"millis": 2,
"milliseconds": 1,
"unsigned": 22,
"microseconds.": 2,
"combination": 2,
"busy": 2,
"wait": 2,
"timers": 1,
"less": 1,
"microseconds": 6,
"Timer.": 1,
"RaspberryPi": 1,
"Your": 1,
"mileage": 1,
"vary.": 1,
"micros": 5,
"uint64_t": 8,
"required": 2,
"bcm2835_gpio_write_mask": 1,
"clocking": 1,
"spi": 1,
"let": 2,
"device.": 2,
"operations.": 4,
"Forces": 2,
"ALT0": 2,
"funcitons": 1,
"complete": 3,
"End": 2,
"returned": 5,
"INPUT": 2,
"behaviour.": 2,
"NOTE": 1,
"effect.": 1,
"SPI0.": 1,
"Defaults": 1,
"BCM2835_SPI_BIT_ORDER_*": 1,
"speed.": 2,
"BCM2835_SPI_CLOCK_DIVIDER_*": 1,
"bcm2835_spi_setClockDivider": 1,
"uint16_t": 2,
"polariy": 1,
"phase": 1,
"BCM2835_SPI_MODE*": 1,
"bcm2835_spi_transfer": 5,
"made": 1,
"selected": 13,
"during": 4,
"transfer.": 4,
"cs": 4,
"activate": 1,
"slave.": 7,
"BCM2835_SPI_CS*": 1,
"bcm2835_spi_chipSelect": 4,
"occurs": 1,
"currently": 12,
"active.": 1,
"transfers": 1,
"happening": 1,
"complement": 1,
"inactive": 1,
"affect": 1,
"active": 3,
"Whether": 1,
"bcm2835_spi_setChipSelectPolarity": 1,
"Transfers": 6,
"byte": 6,
"Asserts": 3,
"simultaneously": 3,
"clocks": 2,
"MISO.": 2,
"Returns": 2,
"polled": 2,
"Peripherls": 2,
"len": 15,
"slave": 8,
"placed": 1,
"rbuf.": 1,
"rbuf": 3,
"long": 15,
"tbuf": 4,
"Buffer": 10,
"send.": 5,
"put": 1,
"buffer": 9,
"Number": 8,
"send/received": 2,
"char*": 24,
"bcm2835_spi_transfernb.": 1,
"replaces": 1,
"transmitted": 1,
"buffer.": 1,
"buf": 14,
"replace": 1,
"contents": 3,
"eh": 2,
"bcm2835_spi_writenb": 1,
"i2c": 1,
"Philips": 1,
"bus/interface": 1,
"January": 1,
"SCL": 2,
"bcm2835_i2c_end": 3,
"bcm2835_i2c_begin": 1,
"address.": 2,
"addr": 2,
"bcm2835_i2c_setSlaveAddress": 4,
"BCM2835_I2C_CLOCK_DIVIDER_*": 1,
"bcm2835_i2c_setClockDivider": 2,
"converting": 1,
"baudrate": 4,
"parameter": 1,
"equivalent": 1,
"divider.": 1,
"standard": 2,
"khz": 1,
"corresponds": 1,
"its": 1,
"driver.": 1,
"Of": 1,
"course": 2,
"nothing": 1,
"driver": 1,
"const": 172,
"*": 183,
"receive.": 2,
"received.": 2,
"Allows": 2,
"slaves": 1,
"require": 3,
"repeated": 1,
"start": 12,
"prior": 1,
"stop": 1,
"set.": 1,
"popular": 1,
"MPL3115A2": 1,
"pressure": 1,
"temperature": 1,
"sensor.": 1,
"Note": 1,
"combined": 1,
"better": 1,
"choice.": 1,
"Will": 1,
"regaddr": 2,
"containing": 2,
"bcm2835_i2c_read_register_rs": 1,
"st": 1,
"delays": 1,
"Counter.": 1,
"bcm2835_st_read": 1,
"offset.": 1,
"offset_micros": 2,
"Offset": 1,
"bcm2835_st_delay": 1,
"@example": 5,
"blink.c": 1,
"Blinks": 1,
"off": 1,
"input.c": 1,
"event.c": 1,
"Shows": 3,
"how": 3,
"spi.c": 1,
"spin.c": 1,
"#pragma": 3,
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"CsvStreamer": 5,
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"ofstream": 1,
"File": 1,
"stream": 6,
"vector": 16,
"row_buffer": 1,
"stores": 3,
"row": 12,
"flushed/written": 1,
"fields": 4,
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"rows": 3,
"records": 2,
"including": 2,
"delimiter": 2,
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"character": 10,
"comma": 2,
"string": 24,
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"Empty": 1,
"CSV": 4,
"streamer...": 1,
"Same": 1,
"...": 1,
"Opens": 3,
"path/name": 3,
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"add_field": 1,
"line": 11,
"adds": 1,
"field": 5,
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"save": 1,
"writes": 2,
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"trimmed": 1,
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"keep": 1,
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"double": 25,
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"data.list.index": 3,
"data.width": 4,
"Dialog.Update": 2,
"data": 2,
"Dialog.UpdateList": 1,
"data.list": 1,
"ClassNotify": 1,
"ListNotify*": 1,
"ListNotify": 1,
"ListGuard*": 1,
"par": 2,
"Dialog.Par": 2,
"par.disabled": 1,
"ListGuard": 1,
"WidthGuard*": 1,
"par.readOnly": 1,
"#": 3,
"WidthGuard": 1,
"Open*": 1,
"NEW": 2,
"*": 1,
"Ports.mm": 1,
"Views.OpenAux": 1,
"Open": 1,
"ObxControls.": 1,
"ObxFact": 1,
"Stores": 1,
"Models": 1,
"TextModels": 1,
"TextControllers": 1,
"Integers": 1,
"Read": 3,
"TextModels.Reader": 2,
"x": 15,
"Integers.Integer": 3,
"i": 17,
"len": 5,
"beg": 11,
"ch": 14,
"CHAR": 3,
"buf": 5,
"r.ReadChar": 5,
"WHILE": 3,
"r.eot": 4,
"<=>": 1,
"ReadChar": 1,
"ASSERT": 1,
"eot": 1,
"<": 8,
"r.Pos": 2,
"-": 1,
"REPEAT": 3,
"INC": 4,
"UNTIL": 3,
"+": 1,
"r.SetPos": 2,
"X": 1,
"Integers.ConvertFromString": 1,
"Write": 3,
"w": 4,
"TextModels.Writer": 2,
"Integers.Sign": 2,
"w.WriteChar": 3,
"Integers.Digits10Of": 1,
"DEC": 1,
"Integers.ThisDigit10": 1,
"Compute*": 1,
"end": 6,
"n": 3,
"s": 3,
"Stores.Operation": 1,
"attr": 3,
"TextModels.Attributes": 1,
"c": 3,
"TextControllers.Controller": 1,
"TextControllers.Focus": 1,
"NIL": 3,
"c.HasSelection": 1,
"c.GetSelection": 1,
"c.text.NewReader": 1,
"r.ReadPrev": 2,
"r.attr": 1,
"Integers.Compare": 1,
"Integers.Long": 3,
"MAX": 1,
"LONGINT": 1,
"SHORT": 1,
"Integers.Short": 1,
"Integers.Product": 1,
"Models.BeginScript": 1,
"c.text": 2,
"c.text.Delete": 1,
"c.text.NewWriter": 1,
"w.SetPos": 1,
"w.SetAttr": 1,
"Models.EndScript": 1,
"Compute": 1,
"ObxFact.": 1
},
"Coq": {
"Inductive": 41,
"day": 9,
"Type": 86,
"|": 457,
"monday": 5,
"tuesday": 3,
"wednesday": 3,
"thursday": 3,
"friday": 3,
"saturday": 3,
"sunday": 2,
"day.": 1,
"Definition": 46,
"next_weekday": 3,
"(": 1248,
"d": 6,
")": 1249,
"match": 70,
"with": 223,
"end.": 52,
"Example": 37,
"test_next_weekday": 1,
"tuesday.": 1,
"Proof.": 208,
"simpl.": 70,
"reflexivity.": 199,
"Qed.": 194,
"bool": 38,
"true": 68,
"false": 48,
"bool.": 1,
"negb": 10,
"b": 89,
"andb": 8,
"b1": 35,
"b2": 23,
"orb": 8,
"test_orb1": 1,
"true.": 16,
"test_orb2": 1,
"false.": 12,
"test_orb3": 1,
"test_orb4": 1,
"nandb": 5,
"end": 16,
"test_nandb1": 1,
"test_nandb2": 1,
"test_nandb3": 1,
"test_nandb4": 1,
"andb3": 5,
"b3": 2,
"test_andb31": 1,
"test_andb32": 1,
"test_andb33": 1,
"test_andb34": 1,
"Module": 11,
"Playground1.": 5,
"nat": 108,
"O": 98,
"S": 186,
"-": 508,
"nat.": 4,
"pred": 3,
"n": 369,
"minustwo": 1,
"Fixpoint": 36,
"evenb": 5,
"oddb": 5,
".": 433,
"test_oddb1": 1,
"test_oddb2": 1,
"plus": 10,
"m": 201,
"mult": 3,
"minus": 3,
"_": 67,
"exp": 2,
"base": 3,
"power": 2,
"p": 81,
"factorial": 2,
"test_factorial1": 1,
"Notation": 39,
"x": 266,
"y": 116,
"at": 17,
"level": 11,
"left": 6,
"associativity": 7,
"nat_scope.": 3,
"beq_nat": 24,
"forall": 248,
"+": 227,
"n.": 44,
"Theorem": 115,
"plus_O_n": 1,
"intros": 258,
"plus_1_1": 1,
"mult_0_1": 1,
"*": 59,
"O.": 5,
"plus_id_example": 1,
"m.": 21,
"H.": 100,
"rewrite": 241,
"plus_id_exercise": 1,
"o": 25,
"o.": 4,
"H": 76,
"mult_0_plus": 1,
"plus_O_n.": 1,
"mult_1_plus": 1,
"plus_1_1.": 1,
"mult_1": 1,
"induction": 81,
"as": 77,
"[": 170,
"plus_1_neq_0": 1,
"destruct": 94,
"]": 173,
"Case": 51,
"IHn": 12,
"plus_comm": 3,
"plus_distr.": 1,
"beq_nat_refl": 3,
"plus_rearrange": 1,
"q": 15,
"q.": 2,
"assert": 68,
"plus_comm.": 3,
"plus_swap": 2,
"p.": 9,
"plus_assoc.": 4,
"H2": 12,
"H2.": 20,
"plus_swap.": 2,
"<->": 31,
"IHm": 2,
"reflexivity": 16,
"Qed": 23,
"mult_comm": 2,
"Proof": 12,
"0": 5,
"simpl": 116,
"mult_0_r.": 4,
"mult_distr": 1,
"mult_1_distr.": 1,
"mult_1.": 1,
"bad": 1,
"zero_nbeq_S": 1,
"andb_false_r": 1,
"plus_ble_compat_1": 1,
"ble_nat": 6,
"IHp.": 2,
"S_nbeq_0": 1,
"mult_1_1": 1,
"plus_0_r.": 1,
"all3_spec": 1,
"c": 70,
"c.": 5,
"b.": 14,
"Lemma": 51,
"mult_plus_1": 1,
"IHm.": 1,
"mult_mult": 1,
"IHn.": 3,
"mult_plus_1.": 1,
"mult_plus_distr_r": 1,
"mult_mult.": 3,
"H1": 18,
"plus_assoc": 1,
"H1.": 31,
"H3": 4,
"H3.": 5,
"mult_assoc": 1,
"mult_plus_distr_r.": 1,
"bin": 9,
"BO": 4,
"D": 9,
"M": 4,
"bin.": 1,
"incbin": 2,
"bin2un": 3,
"bin_comm": 1,
"End": 15,
"Require": 17,
"Import": 11,
"List": 2,
"Multiset": 2,
"PermutSetoid": 1,
"Relations": 2,
"Sorting.": 1,
"Section": 4,
"defs.": 2,
"Variable": 7,
"A": 113,
"Type.": 3,
"leA": 25,
"relation": 19,
"A.": 6,
"eqA": 29,
"Let": 8,
"gtA": 1,
"y.": 15,
"Hypothesis": 7,
"leA_dec": 4,
"{": 39,
"}": 35,
"eqA_dec": 26,
"leA_refl": 1,
"leA_trans": 2,
"z": 14,
"z.": 6,
"leA_antisym": 1,
"Hint": 9,
"Resolve": 5,
"leA_refl.": 1,
"Immediate": 1,
"leA_antisym.": 1,
"emptyBag": 4,
"EmptyBag": 2,
"singletonBag": 10,
"SingletonBag": 2,
"eqA_dec.": 2,
"Tree": 24,
"Tree_Leaf": 9,
"Tree_Node": 11,
"Tree.": 1,
"leA_Tree": 16,
"a": 207,
"t": 93,
"True": 1,
"T1": 25,
"T2": 20,
"leA_Tree_Leaf": 5,
"Tree_Leaf.": 1,
";": 375,
"auto": 73,
"datatypes.": 47,
"leA_Tree_Node": 1,
"G": 6,
"is_heap": 18,
"Prop": 17,
"nil_is_heap": 5,
"node_is_heap": 7,
"invert_heap": 3,
"/": 41,
"T2.": 1,
"inversion": 104,
"is_heap_rect": 1,
"P": 32,
"T": 49,
"T.": 9,
"simple": 7,
"PG": 2,
"PD": 2,
"PN.": 2,
"elim": 21,
"H4": 7,
"intros.": 27,
"apply": 340,
"X0": 2,
"is_heap_rec": 1,
"Set": 4,
"X": 191,
"low_trans": 3,
"merge_lem": 3,
"l1": 89,
"l2": 73,
"list": 78,
"merge_exist": 5,
"l": 379,
"Sorted": 5,
"meq": 15,
"list_contents": 30,
"munion": 18,
"HdRel": 4,
"l2.": 8,
"Morphisms.": 2,
"Instance": 7,
"Equivalence": 2,
"@meq": 4,
"constructor": 6,
"red.": 1,
"meq_trans.": 1,
"Defined.": 1,
"Proper": 5,
"@munion": 1,
"now": 24,
"meq_congr.": 1,
"merge": 5,
"fix": 2,
"l1.": 5,
"rename": 2,
"into": 2,
"l.": 26,
"revert": 5,
"H0.": 24,
"a0": 15,
"l0": 7,
"Sorted_inv": 2,
"in": 221,
"H0": 16,
"clear": 7,
"merge0.": 2,
"using": 18,
"cons_sort": 2,
"cons_leA": 2,
"munion_ass.": 2,
"cons_leA.": 2,
"@HdRel_inv": 2,
"trivial": 15,
"merge0": 1,
"setoid_rewrite": 2,
"munion_ass": 1,
"munion_comm.": 2,
"repeat": 11,
"munion_comm": 1,
"contents": 12,
"multiset": 2,
"t1": 48,
"t2": 51,
"equiv_Tree": 1,
"insert_spec": 3,
"insert_exist": 4,
"insert": 2,
"unfold": 58,
"T0": 2,
"treesort_twist1": 1,
"T3": 2,
"HeapT3": 1,
"ConT3": 1,
"LeA.": 1,
"LeA": 1,
"treesort_twist2": 1,
"build_heap": 3,
"heap_exist": 3,
"list_to_heap": 2,
"nil": 46,
"exact": 4,
"nil_is_heap.": 1,
"i": 11,
"meq_trans": 10,
"meq_right": 2,
"meq_sym": 2,
"flat_spec": 3,
"flat_exist": 3,
"heap_to_list": 2,
"h": 14,
"s1": 20,
"i1": 15,
"m1": 1,
"s2": 2,
"i2": 10,
"m2.": 1,
"meq_congr": 1,
"munion_rotate.": 1,
"treesort": 1,
"&": 21,
"permutation": 43,
"intro": 27,
"permutation.": 1,
"exists": 60,
"Export": 10,
"SfLib.": 2,
"AExp.": 2,
"aexp": 30,
"ANum": 18,
"APlus": 14,
"AMinus": 9,
"AMult": 9,
"aexp.": 1,
"bexp": 22,
"BTrue": 10,
"BFalse": 11,
"BEq": 9,
"BLe": 9,
"BNot": 9,
"BAnd": 10,
"bexp.": 1,
"aeval": 46,
"e": 53,
"a1": 56,
"a2": 62,
"test_aeval1": 1,
"beval": 16,
"optimize_0plus": 15,
"e2": 54,
"e1": 58,
"test_optimize_0plus": 1,
"optimize_0plus_sound": 4,
"e.": 15,
"e1.": 1,
"SCase": 24,
"SSCase": 3,
"IHe2.": 10,
"IHe1.": 11,
"aexp_cases": 3,
"try": 17,
"IHe1": 6,
"IHe2": 6,
"optimize_0plus_all": 2,
"Tactic": 9,
"tactic": 9,
"first": 18,
"ident": 9,
"Case_aux": 38,
"optimize_0plus_all_sound": 1,
"bexp_cases": 4,
"optimize_and": 5,
"optimize_and_sound": 1,
"IHe": 2,
"aevalR_first_try.": 2,
"aevalR": 18,
"E_Anum": 1,
"E_APlus": 2,
"n1": 45,
"n2": 41,
"E_AMinus": 2,
"E_AMult": 2,
"Reserved": 4,
"E_ANum": 1,
"where": 6,
"bevalR": 11,
"E_BTrue": 1,
"E_BFalse": 1,
"E_BEq": 1,
"E_BLe": 1,
"E_BNot": 1,
"E_BAnd": 1,
"aeval_iff_aevalR": 9,
"split.": 17,
"subst": 7,
"generalize": 13,
"dependent": 6,
"IHa1": 1,
"IHa2": 1,
"beval_iff_bevalR": 1,
"*.": 110,
"subst.": 43,
"IHbevalR": 1,
"IHbevalR1": 1,
"IHbevalR2": 1,
"a.": 6,
"constructor.": 16,
"<": 76,
"remember": 12,
"IHa.": 1,
"IHa1.": 1,
"IHa2.": 1,
"silly_presburger_formula": 1,
"<=>": 12,
"3": 2,
"omega": 7,
"Id": 7,
"id": 7,
"id.": 1,
"beq_id": 14,
"id1": 2,
"id2": 2,
"beq_id_refl": 1,
"i.": 2,
"beq_nat_refl.": 1,
"beq_id_eq": 4,
"i2.": 8,
"i1.": 3,
"beq_nat_eq": 2,
"beq_id_false_not_eq": 1,
"C.": 3,
"n0": 5,
"beq_false_not_eq": 1,
"not_eq_beq_id_false": 1,
"not_eq_beq_false.": 1,
"beq_nat_sym": 2,
"AId": 4,
"com_cases": 1,
"SKIP": 5,
"IFB": 4,
"WHILE": 5,
"c1": 14,
"c2": 9,
"e3": 1,
"cl": 1,
"st": 113,
"E_IfTrue": 2,
"THEN": 3,
"ELSE": 3,
"FI": 3,
"E_WhileEnd": 2,
"DO": 4,
"END": 4,
"E_WhileLoop": 2,
"ceval_cases": 1,
"E_Skip": 1,
"E_Ass": 1,
"E_Seq": 1,
"E_IfFalse": 1,
"assignment": 1,
"command": 2,
"if": 10,
"st1": 2,
"IHi1": 3,
"Heqst1": 1,
"Hceval.": 4,
"Hceval": 2,
"assumption.": 61,
"bval": 2,
"ceval_step": 3,
"Some": 21,
"ceval_step_more": 7,
"x1.": 3,
"omega.": 7,
"x2.": 2,
"IHHce.": 2,
"%": 3,
"IHHce1.": 1,
"IHHce2.": 1,
"x0": 14,
"plus2": 1,
"nx": 3,
"Y": 38,
"ny": 2,
"XtimesYinZ": 1,
"Z": 11,
"ny.": 1,
"loop": 2,
"contra.": 19,
"loopdef.": 1,
"Heqloopdef.": 8,
"contra1.": 1,
"IHcontra2.": 1,
"no_whiles": 15,
"com": 5,
"ct": 2,
"cf": 2,
"no_Whiles": 10,
"noWhilesSKIP": 1,
"noWhilesAss": 1,
"noWhilesSeq": 1,
"noWhilesIf": 1,
"no_whiles_eqv": 1,
"noWhilesSKIP.": 1,
"noWhilesAss.": 1,
"noWhilesSeq.": 1,
"IHc1.": 2,
"auto.": 47,
"eauto": 10,
"andb_true_elim1": 4,
"IHc2.": 2,
"andb_true_elim2": 4,
"noWhilesIf.": 1,
"andb_true_intro.": 2,
"no_whiles_terminate": 1,
"state": 6,
"st.": 7,
"update": 2,
"IHc1": 2,
"IHc2": 2,
"H5.": 1,
"x1": 11,
"r": 11,
"r.": 3,
"symmetry": 4,
"Heqr.": 1,
"H4.": 2,
"s": 13,
"Heqr": 3,
"H8.": 1,
"H10": 1,
"assumption": 10,
"beval_short_circuit": 5,
"beval_short_circuit_eqv": 1,
"sinstr": 8,
"SPush": 8,
"SLoad": 6,
"SPlus": 10,
"SMinus": 11,
"SMult": 11,
"sinstr.": 1,
"s_execute": 21,
"stack": 7,
"prog": 2,
"cons": 26,
"al": 3,
"bl": 3,
"s_execute1": 1,
"empty_state": 2,
"s_execute2": 1,
"s_compile": 36,
"v": 28,
"s_compile1": 1,
"execute_theorem": 1,
"other": 20,
"other.": 4,
"app_ass.": 6,
"s_compile_correct": 1,
"app_nil_end.": 1,
"execute_theorem.": 1,
"Eqdep_dec.": 1,
"Arith.": 2,
"eq_rect_eq_nat": 2,
"Q": 3,
"eq_rect": 3,
"h.": 1,
"K_dec_set": 1,
"eq_nat_dec.": 1,
"Scheme": 1,
"le_ind": 1,
"replace": 4,
"le_n": 4,
"fun": 17,
"refl_equal": 4,
"pattern": 2,
"case": 2,
"trivial.": 14,
"contradiction": 8,
"le_Sn_n": 5,
"le_S": 6,
"Heq": 8,
"m0": 1,
"HeqS": 3,
"injection": 4,
"HeqS.": 2,
"eq_rect_eq_nat.": 1,
"IHp": 2,
"dep_pair_intro": 2,
"Hx": 20,
"Hy": 14,
"<=n),>": 1,
"x=": 1,
"exist": 7,
"Hy.": 3,
"Heq.": 6,
"le_uniqueness_proof": 1,
"Hy0": 1,
"card": 2,
"f": 108,
"card_interval": 1,
"<=n}>": 1,
"proj1_sig": 1,
"proj2_sig": 1,
"Hp": 5,
"Hq": 3,
"Hpq.": 1,
"Hmn.": 1,
"Hmn": 1,
"interval_dec": 1,
"left.": 3,
"dep_pair_intro.": 3,
"right.": 9,
"discriminate": 3,
"le_Sn_le": 2,
"eq_S.": 1,
"Hneq.": 2,
"card_inj_aux": 1,
"g": 6,
"False.": 1,
"Hfbound": 1,
"Hfinj": 1,
"Hgsurj.": 1,
"Hgsurj": 3,
"Hfx": 2,
"le_n_O_eq.": 2,
"Hfbound.": 2,
"Hx.": 5,
"le_lt_dec": 9,
"xSn": 21,
"then": 9,
"else": 9,
"is": 4,
"bounded": 1,
"injective": 6,
"Hlefx": 1,
"Hgefx": 1,
"Hlefy": 1,
"Hgefy": 1,
"Hfinj.": 3,
"sym_not_eq.": 2,
"Heqf.": 2,
"Hneqy.": 2,
"le_lt_trans": 2,
"le_O_n.": 2,
"le_neq_lt": 2,
"Hneqx.": 2,
"pred_inj.": 1,
"lt_O_neq": 2,
"neq_dep_intro": 2,
"inj_restrict": 1,
"Heqf": 1,
"surjective": 1,
"Hlep.": 3,
"Hle": 1,
"Hlt": 3,
"Hfsurj": 2,
"le_n_S": 1,
"Hlep": 4,
"Hneq": 7,
"Heqx.": 2,
"Heqx": 4,
"Hle.": 1,
"le_not_lt": 1,
"lt_trans": 4,
"lt_n_Sn.": 1,
"Hlt.": 1,
"lt_irrefl": 2,
"lt_le_trans": 1,
"pose": 2,
"let": 3,
"Hneqx": 1,
"Hneqy": 1,
"Heqg": 1,
"Hdec": 3,
"Heqy": 1,
"Hginj": 1,
"HSnx.": 1,
"HSnx": 1,
"interval_discr": 1,
"<=m}>": 1,
"card_inj": 1,
"interval_dec.": 1,
"card_interval.": 2,
"Basics.": 2,
"NatList.": 2,
"natprod": 5,
"pair": 7,
"natprod.": 1,
"fst": 3,
"snd": 3,
"swap_pair": 1,
"surjective_pairing": 1,
"count": 7,
"remove_one": 3,
"test_remove_one1": 1,
"remove_all": 2,
"bag": 3,
"app_ass": 1,
"l3": 12,
"natlist": 7,
"l3.": 1,
"remove_decreases_count": 1,
"s.": 4,
"ble_n_Sn.": 1,
"IHs.": 2,
"natoption": 5,
"None": 9,
"natoption.": 1,
"index": 3,
"option_elim": 2,
"hd_opt": 8,
"test_hd_opt1": 2,
"None.": 2,
"test_hd_opt2": 2,
"option_elim_hd": 1,
"head": 1,
"beq_natlist": 5,
"v1": 7,
"r1": 2,
"v2": 2,
"r2": 2,
"test_beq_natlist1": 1,
"test_beq_natlist2": 1,
"beq_natlist_refl": 1,
"IHl.": 7,
"silly1": 1,
"eq1": 6,
"eq2.": 9,
"eq2": 1,
"silly2a": 1,
"eq1.": 5,
"silly_ex": 1,
"silly3": 1,
"symmetry.": 2,
"rev_exercise": 1,
"rev_involutive.": 1,
"Setoid": 1,
"Compare_dec": 1,
"ListNotations.": 1,
"Implicit": 15,
"Arguments.": 2,
"Permutation.": 2,
"Permutation": 38,
"perm_nil": 1,
"perm_skip": 1,
"Local": 7,
"Constructors": 3,
"Permutation_nil": 2,
"HF.": 3,
"@nil": 1,
"HF": 2,
"||": 1,
"Permutation_nil_cons": 1,
"discriminate.": 2,
"Permutation_refl": 1,
"Permutation_sym": 1,
"Hperm": 7,
"perm_trans": 1,
"Permutation_trans": 4,
"Logic.eq": 2,
"@Permutation": 5,
"iff": 1,
"@In": 1,
"red": 6,
"Permutation_in.": 2,
"Permutation_app_tail": 2,
"tl": 8,
"eapply": 8,
"Permutation_app_head": 2,
"app_comm_cons": 5,
"Permutation_app": 3,
"Hpermmm": 1,
"idtac": 1,
"Global": 5,
"@app": 1,
"Permutation_app.": 1,
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