471 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			V
		
	
	
			
		
		
	
	
			471 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			V
		
	
	
module bitfield
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/*
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bitfield is a module for
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manipulating arrays of bits, i.e. series of zeroes and ones spread across an
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array of storage units (unsigned 32-bit integers).
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BitField structure
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------------------
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Bit arrays are stored in data structures called 'BitField'. The structure is
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'opaque', i.e. its internals are not available to the end user. This module
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provides API (functions and methods) for accessing and modifying bit arrays.
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*/
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pub struct BitField {
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mut:
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	size int
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	//field *u32
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	field []u32
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}
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// helper functions
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const (
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	SLOT_SIZE = 32
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)
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// public functions
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// from_bytes() converts a byte array into a bitfield.
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pub fn from_bytes(input []byte) BitField {
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	mut output := new(input.len * 8)
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	for i, b in input {
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		output.field[i / 4] |= u32(b) << ((i % 4) * 8)
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	}
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	return output
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}
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// from_str converts a string of characters ('0' and '1') to a bit
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// array. Any character different from '0' is treated as '1'.
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pub fn from_str(input string) BitField {
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	mut output := new(input.len)
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	for i in 0..input.len {
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		if input[i] != `0` {
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			output.setbit(i)
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		}
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	}
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	return output
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}
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// str converts the bit array to a string of characters ('0' and '1') and
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// return the string
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pub fn (input BitField) str() string {
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	mut output := ''
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	for i in 0..input.size {
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		if input.getbit(i) == 1 {
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			output = output + '1'
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		}
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		else {
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			output = output + '0'
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		}
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	}
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	return output
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}
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// new creates an empty bit array of capable of storing 'size' bits.
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pub fn new(size int) BitField {
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	output := BitField{
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		size: size
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		//field: *u32(calloc(bitnslots(size) * SLOT_SIZE / 8))
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		field: [u32(0)].repeat(bitnslots(size))
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	}
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	return output
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}
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/*
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pub fn del(instance *BitField) {
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	free(instance.field)
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	free(instance)
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}
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*/
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// getbit returns the value (0 or 1) of bit number 'bit_nr' (count from 0).
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pub fn (instance BitField) getbit(bitnr int) int {
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	if bitnr >= instance.size {
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		return 0
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	}
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	return (instance.field[bitslot(bitnr)] >> (bitnr % SLOT_SIZE)) & u32(1)
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}
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// setbit sets bit number 'bit_nr' to 1 (count from 0).
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pub fn (instance mut BitField) setbit(bitnr int) {
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	if bitnr >= instance.size {
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		return
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	}
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	instance.field[bitslot(bitnr)] |= bitmask(bitnr)
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}
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// clearbit clears (sets to zero) bit number 'bit_nr' (count from 0).
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pub fn (instance mut BitField) clearbit(bitnr int) {
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	if bitnr >= instance.size {
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		return
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	}
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	instance.field[bitslot(bitnr)] &= ~bitmask(bitnr)
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}
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// setall sets all bits in the array to 1.
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pub fn (instance mut BitField) setall() {
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	for i in 0..bitnslots(instance.size) {
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		instance.field[i] = u32(-1)
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	}
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	instance.cleartail()
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}
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// clearall clears (sets to zero) all bits in the array.
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pub fn (instance mut BitField) clearall() {
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	for i in 0..bitnslots(instance.size) {
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		instance.field[i] = u32(0)
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	}
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}
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// togglebit changes the value (from 0 to 1 or from 1 to 0) of bit
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// number 'bit_nr'.
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pub fn (instance mut BitField) togglebit(bitnr int) {
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	if bitnr >= instance.size {
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		return
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	}
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	instance.field[bitslot(bitnr)] ^= bitmask(bitnr)
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}
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// bfand performs logical AND operation on every pair of bits from 'input1' and
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// 'input2' and returns the result as a new array. If inputs differ in size,
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// the tail of the longer one is ignored.
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pub fn bfand(input1 BitField, input2 BitField) BitField {
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	size := min(input1.size, input2.size)
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	bitnslots := bitnslots(size)
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	mut output := new(size)
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	for i in 0..bitnslots {
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		output.field[i] = input1.field[i] & input2.field[i]
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		i++
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	}
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	output.cleartail()
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	return output
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}
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// bfnot toggles all bits in a bit array and returns the result as a new array.
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pub fn bfnot(input BitField) BitField {
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	size := input.size
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	bitnslots := bitnslots(size)
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	mut output := new(size)
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	for i in 0..bitnslots {
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		output.field[i] = ~input.field[i]
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		i++
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	}
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	output.cleartail()
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	return output
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}
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// bfor performs logical OR operation on every pair of bits from 'input1' and
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// 'input2' and returns the result as a new array. If inputs differ in size,
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// the tail of the longer one is ignored.
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pub fn bfor(input1 BitField, input2 BitField) BitField {
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	size := min(input1.size, input2.size)
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	bitnslots := bitnslots(size)
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	mut output := new(size)
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	for i in 0..bitnslots {
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		output.field[i] = input1.field[i] | input2.field[i]
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		i++
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	}
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	output.cleartail()
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	return output
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}
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// bfxor perform logical XOR operation on every pair of bits from 'input1' and
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// 'input2' and returns the result as a new array. If inputs differ in size,
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// the tail of the longer one is ignored.
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pub fn bfxor(input1 BitField, input2 BitField) BitField {
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	size := min(input1.size, input2.size)
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	bitnslots := bitnslots(size)
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	mut output := new(size)
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	for i in 0..bitnslots {
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		output.field[i] = input1.field[i] ^ input2.field[i]
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		i++
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	}
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	output.cleartail()
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	return output
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}
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// join concatenates two bit arrays and return the result as a new array.
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pub fn join(input1 BitField, input2 BitField) BitField {
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	output_size := input1.size + input2.size
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	mut output := new(output_size)
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	// copy the first input to output as is
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	for i in 0..bitnslots(input1.size) {
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		output.field[i] = input1.field[i]
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	}
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	// find offset bit and offset slot
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	offset_bit := input1.size % SLOT_SIZE
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	offset_slot := input1.size / SLOT_SIZE
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	for i in 0..bitnslots(input2.size) {
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		output.field[i + offset_slot] |=
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		    u32(input2.field[i] << u32(offset_bit))
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	}
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	/*
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	 * If offset_bit is not zero, additional operations are needed.
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	 * Number of iterations depends on the nr of slots in output. Two
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	 * options:
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	 * (a) nr of slots in output is the sum of inputs' slots. In this
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	 * case, the nr of bits in the last slot of output is less than the
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	 * nr of bits in the second input (i.e. ), OR
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	 * (b) nr of slots of output is the sum of inputs' slots less one
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	 * (i.e. less iterations needed). In this case, the nr of bits in
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	 * the last slot of output is greater than the nr of bits in the second
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	 * input.
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	 * If offset_bit is zero, no additional copies needed.
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	 */
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	if (output_size - 1) % SLOT_SIZE < (input2.size - 1) % SLOT_SIZE {
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		for i in 0..bitnslots(input2.size) {
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			output.field[i + offset_slot + 1] |=
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			    u32(input2.field[i] >> u32(SLOT_SIZE - offset_bit))
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		}
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	} else if (output_size - 1) % SLOT_SIZE > (input2.size - 1) % SLOT_SIZE {
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		for i in 0..bitnslots(input2.size) - 1 {
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			output.field[i + offset_slot + 1] |=
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			    u32(input2.field[i] >> u32(SLOT_SIZE - offset_bit))
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		}
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	}
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	return output
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}
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// getsize returns the number of bits the array can hold.
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pub fn (instance BitField) getsize() int {
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	return instance.size
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}
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// clone creates a copy of a bit array.
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pub fn (instance BitField) clone() BitField {
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	bitnslots := bitnslots(instance.size)
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	mut output := new(instance.size)
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	for i in 0..bitnslots {
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		output.field[i] = instance.field[i]
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		i++
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	}
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	return output
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}
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// cmp compares two bit arrays bit by bit and returns 'true' if they are
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// identical by length and contents and 'false' otherwise.
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pub fn (instance BitField) cmp(input BitField) bool {
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	if instance.size != input.size {return false}
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	for i in 0..bitnslots(instance.size) {
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		if instance.field[i] != input.field[i] {return false}
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	}
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	return true
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}
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// popcount returns the number of set bits (ones) in the array.
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pub fn (instance BitField) popcount() int {
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	size := instance.size
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	bitnslots := bitnslots(size)
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	tail := size % SLOT_SIZE
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	mut count := 0
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	for i in 0..bitnslots - 1 {
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		for j in 0..SLOT_SIZE {
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			if u32(instance.field[i] >> u32(j)) & u32(1) == u32(1) {
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				count++
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			}
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		}
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	}
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	for j in 0..tail {
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		if u32(instance.field[bitnslots - 1] >> u32(j)) & u32(1) == u32(1) {
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			count++
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		}
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	}
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	return count
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}
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// hamming computes the Hamming distance between two bit arrays.
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pub fn hamming (input1 BitField, input2 BitField) int {
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	input_xored := bfxor(input1, input2)
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	return input_xored.popcount()
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}
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// pos checks if the array contains a sub-array 'needle' and returns its
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// position if it does, -1 if it does not, and -2 on error.
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pub fn (haystack BitField) pos(needle BitField) int {
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	heystack_size := haystack.size
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	needle_size := needle.size
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	diff := heystack_size - needle_size
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	// needle longer than haystack; return error code -2
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	if diff < 0 {
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		return -2
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	}
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	for i := 0; i <= diff; i++ {
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		needle_candidate := haystack.slice(i, needle_size + i)
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		if needle_candidate.cmp(needle) {
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			// needle matches a sub-array of haystack; return starting position of the sub-array
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			return i
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		}
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	}
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	// nothing matched; return -1
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	return -1
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}
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// slice returns a sub-array of bits between 'start_bit_nr' (included) and
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// 'end_bit_nr' (excluded).
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pub fn (input BitField) slice(_start int, _end int) BitField {
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	// boundary checks
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	mut start := _start
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	mut end := _end
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	if end > input.size {
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		end = input.size // or panic?
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	}
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	if start > end {
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		start = end // or panic?
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	}
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	mut output := new(end - start)
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	start_offset := start % SLOT_SIZE
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	end_offset := (end - 1) % SLOT_SIZE
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	start_slot := start / SLOT_SIZE
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	end_slot := (end - 1) / SLOT_SIZE
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	output_slots := bitnslots(end - start)
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	if output_slots > 1 {
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		if start_offset != 0 {
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			for i in 0..output_slots - 1 {
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				output.field[i] =
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				    u32(input.field[start_slot + i] >> u32(start_offset))
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				output.field[i] = output.field[i] |
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				    u32(input.field[start_slot + i + 1] <<
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				    u32(SLOT_SIZE - start_offset))
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			}
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		}
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		else {
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			for i in 0..output_slots - 1 {
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				output.field[i] =
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				    u32(input.field[start_slot + i])
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			}
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		}
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	}
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	if start_offset > end_offset {
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		output.field[(end - start - 1) / SLOT_SIZE] =
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		    u32(input.field[end_slot - 1] >> u32(start_offset))
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		mut mask := u32((1 << (end_offset + 1)) - 1)
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		mask = input.field[end_slot] & mask
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		mask = u32(mask << u32(SLOT_SIZE - start_offset))
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		output.field[(end - start - 1) / SLOT_SIZE] |= mask
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	}
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	else if start_offset == 0 {
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		mut mask := u32(0)
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		if end_offset == SLOT_SIZE - 1 {
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			mask = u32(-1)
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		}
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		else {
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			mask = u32(u32(1) << u32(end_offset + 1))
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			mask = mask - u32(1)
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		}
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		output.field[(end - start - 1) / SLOT_SIZE] =
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		    (input.field[end_slot] & mask)
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	}
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	else {
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		mut mask := u32(((1 << (end_offset - start_offset + 1)) - 1)  << start_offset)
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		mask = input.field[end_slot] & mask
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		mask = u32(mask >> u32(start_offset))
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		output.field[(end - start - 1) / SLOT_SIZE] |= mask
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	}
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	return output
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}
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// reverse reverses the order of bits in the array (swap the first with the
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// last, the second with the last but one and so on).
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pub fn (instance BitField) reverse() BitField {
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	size := instance.size
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	bitnslots := bitnslots(size)
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	mut output := new(size)
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	for i:= 0; i < (bitnslots - 1); i++ {
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		for j in 0..SLOT_SIZE {
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			if u32(instance.field[i] >> u32(j)) & u32(1) == u32(1) {
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				output.setbit(size - i * SLOT_SIZE - j - 1)
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			}
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		}
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	}
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	bits_in_last_input_slot := (size - 1) % SLOT_SIZE + 1
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	for j in 0..bits_in_last_input_slot {
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		if u32(instance.field[bitnslots - 1] >> u32(j)) & u32(1) == u32(1) {
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			output.setbit(bits_in_last_input_slot - j - 1)
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		}
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	}
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	return output
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}
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// resize changes the size of the bit array to 'new_size'.
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pub fn (instance mut BitField) resize(new_size int) {
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	new_bitnslots := bitnslots(new_size)
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	old_size := instance.size
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	old_bitnslots := bitnslots(old_size)
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	mut field := [u32(0)].repeat(new_bitnslots)
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	for i := 0; i < old_bitnslots && i < new_bitnslots; i++ {
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		field[i] = instance.field[i]
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	}
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	instance.field = field.clone()
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	instance.size = new_size
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	if new_size < old_size && new_size % SLOT_SIZE != 0 {
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		instance.cleartail()
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	}
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}
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// rotate circular-shifts the bits by 'offset' positions (move
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// 'offset' bit to 0, 'offset+1' bit to 1, and so on).
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pub fn (instance BitField) rotate(offset int) BitField {
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	/**
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	 * This function "cuts" the bitfield into two and swaps them.
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	 * If the offset is positive, the cutting point is counted from the
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	 * beginning of the bit array, otherwise from the end.
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	**/
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	size := instance.size
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	// removing extra rotations
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						|
	mut offset_internal := offset % size
 | 
						|
	if offset_internal == 0 {
 | 
						|
		// nothing to shift
 | 
						|
		return instance
 | 
						|
	}
 | 
						|
	if offset_internal < 0 {
 | 
						|
		offset_internal = offset_internal + size
 | 
						|
	}
 | 
						|
 | 
						|
	first_chunk := instance.slice(0, offset_internal)
 | 
						|
	second_chunk := instance.slice(offset_internal, size)
 | 
						|
	output := join(second_chunk, first_chunk)
 | 
						|
	return output
 | 
						|
}
 | 
						|
 | 
						|
// Internal functions
 | 
						|
 | 
						|
fn (instance mut BitField) cleartail() {
 | 
						|
	tail := instance.size % SLOT_SIZE
 | 
						|
	if tail != 0 {
 | 
						|
		// create a mask for the tail
 | 
						|
		mask := u32((1 << tail) - 1)
 | 
						|
		// clear the extra bits
 | 
						|
		instance.field[bitnslots(instance.size) - 1] = instance.field[bitnslots(instance.size) - 1] & mask
 | 
						|
	}
 | 
						|
}
 | 
						|
 | 
						|
fn bitmask(bitnr int) u32 {
 | 
						|
	return u32(u32(1) << u32(bitnr % SLOT_SIZE))
 | 
						|
}
 | 
						|
 | 
						|
fn bitslot(size int) int {
 | 
						|
	return size / SLOT_SIZE
 | 
						|
}
 | 
						|
 | 
						|
fn min(input1 int, input2 int) int {
 | 
						|
	if input1 < input2 {
 | 
						|
		return input1
 | 
						|
	}
 | 
						|
	else {
 | 
						|
		return input2
 | 
						|
	}
 | 
						|
}
 | 
						|
 | 
						|
fn bitnslots(length int) int {
 | 
						|
	return (length - 1) / SLOT_SIZE + 1
 | 
						|
}
 |