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+module bitfield
+
+/*
+bitfield is a module for
+manipulating arrays of bits, i.e. series of zeroes and ones spread across an
+array of storage units (unsigned 32-bit integers).
+
+BitField structure
+------------------
+
+Bit arrays are stored in data structures called 'BitField'. The structure is
+'opaque', i.e. its internals are not available to the end user. This module
+provides API (functions and methods) for accessing and modifying bit arrays.
+*/
+pub struct BitField {
+mut:
+ size int
+ // field *u32
+ field []u32
+}
+
+// helper functions
+const (
+ slot_size = 32
+)
+
+// from_bytes converts a byte array into a bitfield.
+// [0x0F, 0x01] => 0000 1111 0000 0001
+pub fn from_bytes(input []byte) BitField {
+ mut output := new(input.len * 8)
+ for i, b in input {
+ mut ob := byte(0)
+ if b & 0b10000000 > 0 {
+ ob |= 0b00000001
+ }
+ if b & 0b01000000 > 0 {
+ ob |= 0b00000010
+ }
+ if b & 0b00100000 > 0 {
+ ob |= 0b00000100
+ }
+ if b & 0b00010000 > 0 {
+ ob |= 0b00001000
+ }
+ if b & 0b00001000 > 0 {
+ ob |= 0b00010000
+ }
+ if b & 0b00000100 > 0 {
+ ob |= 0b00100000
+ }
+ if b & 0b00000010 > 0 {
+ ob |= 0b01000000
+ }
+ if b & 0b00000001 > 0 {
+ ob |= 0b10000000
+ }
+ output.field[i / 4] |= u32(ob) << ((i % 4) * 8)
+ }
+ return output
+}
+
+// from_bytes_lowest_bits_first converts a byte array into a bitfield
+// [0x0F, 0x01] => 1111 0000 1000 0000
+pub fn from_bytes_lowest_bits_first(input []byte) BitField {
+ mut output := new(input.len * 8)
+ for i, b in input {
+ output.field[i / 4] |= u32(b) << ((i % 4) * 8)
+ }
+ return output
+}
+
+// from_str converts a string of characters ('0' and '1') to a bit
+// array. Any character different from '0' is treated as '1'.
+pub fn from_str(input string) BitField {
+ mut output := new(input.len)
+ for i in 0 .. input.len {
+ if input[i] != `0` {
+ output.set_bit(i)
+ }
+ }
+ return output
+}
+
+// str converts the bit array to a string of characters ('0' and '1') and
+// return the string
+pub fn (input BitField) str() string {
+ mut output := ''
+ for i in 0 .. input.size {
+ if input.get_bit(i) == 1 {
+ output = output + '1'
+ } else {
+ output = output + '0'
+ }
+ }
+ return output
+}
+
+// new creates an empty bit array of capable of storing 'size' bits.
+pub fn new(size int) BitField {
+ output := BitField{
+ size: size
+ // field: *u32(calloc(zbitnslots(size) * slot_size / 8))
+ field: []u32{len: zbitnslots(size)}
+ }
+ return output
+}
+
+// frees the memory allocated for the bitfield instance
+[unsafe]
+pub fn (instance &BitField) free() {
+ unsafe {
+ instance.field.free()
+ }
+}
+
+// get_bit returns the value (0 or 1) of bit number 'bit_nr' (count from 0).
+pub fn (instance BitField) get_bit(bitnr int) int {
+ if bitnr >= instance.size {
+ return 0
+ }
+ return int((instance.field[bitslot(bitnr)] >> (bitnr % bitfield.slot_size)) & u32(1))
+}
+
+// set_bit sets bit number 'bit_nr' to 1 (count from 0).
+pub fn (mut instance BitField) set_bit(bitnr int) {
+ if bitnr >= instance.size {
+ return
+ }
+ instance.field[bitslot(bitnr)] |= bitmask(bitnr)
+}
+
+// clear_bit clears (sets to zero) bit number 'bit_nr' (count from 0).
+pub fn (mut instance BitField) clear_bit(bitnr int) {
+ if bitnr >= instance.size {
+ return
+ }
+ instance.field[bitslot(bitnr)] &= ~bitmask(bitnr)
+}
+
+// extract returns the value converted from a slice of bit numbers
+// from 'start' by the length of 'len'.
+// 0101 (1, 2) => 0b10
+pub fn (instance BitField) extract(start int, len int) u64 {
+ // panic?
+ if start < 0 {
+ return 0
+ }
+ mut output := u64(0)
+ for i in 0 .. len {
+ output |= u64(instance.get_bit(start + len - i - 1)) << i
+ }
+ return output
+}
+
+// insert sets bit numbers from 'start' to 'len' length with
+// the value converted from the number 'value'.
+// 0000 (1, 2, 0b10) => 0100
+pub fn (mut instance BitField) insert<T>(start int, len int, _value T) {
+ // panic?
+ if start < 0 {
+ return
+ }
+ mut value := _value
+ for i in 0 .. len {
+ pos := start + len - i - 1
+ if value & 1 == 1 {
+ instance.set_bit(pos)
+ } else {
+ instance.clear_bit(pos)
+ }
+ value >>= 1
+ }
+}
+
+// extract returns the value converted from a slice of bit numbers
+// from 'start' by the length of 'len'.
+// 0101 (1, 2) => 0b01
+pub fn (instance BitField) extract_lowest_bits_first(start int, len int) u64 {
+ // panic?
+ if start < 0 {
+ return 0
+ }
+ mut output := u64(0)
+ for i in 0 .. len {
+ output |= u64(instance.get_bit(start + i)) << i
+ }
+ return output
+}
+
+// insert sets bit numbers from 'start' to 'len' length with
+// the value converted from the number 'value'.
+// 0000 (1, 2, 0b10) => 0010
+pub fn (mut instance BitField) insert_lowest_bits_first<T>(start int, len int, _value T) {
+ // panic?
+ if start < 0 {
+ return
+ }
+ mut value := _value
+ for pos in start .. start + len {
+ if value & 1 == 1 {
+ instance.set_bit(pos)
+ } else {
+ instance.clear_bit(pos)
+ }
+ value >>= 1
+ }
+}
+
+// set_all sets all bits in the array to 1.
+pub fn (mut instance BitField) set_all() {
+ for i in 0 .. zbitnslots(instance.size) {
+ instance.field[i] = u32(-1)
+ }
+ instance.clear_tail()
+}
+
+// clear_all clears (sets to zero) all bits in the array.
+pub fn (mut instance BitField) clear_all() {
+ for i in 0 .. zbitnslots(instance.size) {
+ instance.field[i] = u32(0)
+ }
+}
+
+// toggle_bit changes the value (from 0 to 1 or from 1 to 0) of bit
+// number 'bit_nr'.
+pub fn (mut instance BitField) toggle_bit(bitnr int) {
+ if bitnr >= instance.size {
+ return
+ }
+ instance.field[bitslot(bitnr)] ^= bitmask(bitnr)
+}
+
+// bf_and performs logical AND operation on every pair of bits from 'input1' and
+// 'input2' and returns the result as a new array. If inputs differ in size,
+// the tail of the longer one is ignored.
+pub fn bf_and(input1 BitField, input2 BitField) BitField {
+ size := min(input1.size, input2.size)
+ bitnslots := zbitnslots(size)
+ mut output := new(size)
+ for i in 0 .. bitnslots {
+ output.field[i] = input1.field[i] & input2.field[i]
+ }
+ output.clear_tail()
+ return output
+}
+
+// bf_not toggles all bits in a bit array and returns the result as a new array.
+pub fn bf_not(input BitField) BitField {
+ size := input.size
+ bitnslots := zbitnslots(size)
+ mut output := new(size)
+ for i in 0 .. bitnslots {
+ output.field[i] = ~input.field[i]
+ }
+ output.clear_tail()
+ return output
+}
+
+// bf_or performs logical OR operation on every pair of bits from 'input1' and
+// 'input2' and returns the result as a new array. If inputs differ in size,
+// the tail of the longer one is ignored.
+pub fn bf_or(input1 BitField, input2 BitField) BitField {
+ size := min(input1.size, input2.size)
+ bitnslots := zbitnslots(size)
+ mut output := new(size)
+ for i in 0 .. bitnslots {
+ output.field[i] = input1.field[i] | input2.field[i]
+ }
+ output.clear_tail()
+ return output
+}
+
+// bf_xor perform logical XOR operation on every pair of bits from 'input1' and
+// 'input2' and returns the result as a new array. If inputs differ in size,
+// the tail of the longer one is ignored.
+pub fn bf_xor(input1 BitField, input2 BitField) BitField {
+ size := min(input1.size, input2.size)
+ bitnslots := zbitnslots(size)
+ mut output := new(size)
+ for i in 0 .. bitnslots {
+ output.field[i] = input1.field[i] ^ input2.field[i]
+ }
+ output.clear_tail()
+ return output
+}
+
+// join concatenates two bit arrays and return the result as a new array.
+pub fn join(input1 BitField, input2 BitField) BitField {
+ output_size := input1.size + input2.size
+ mut output := new(output_size)
+ // copy the first input to output as is
+ for i in 0 .. zbitnslots(input1.size) {
+ output.field[i] = input1.field[i]
+ }
+ // find offset bit and offset slot
+ offset_bit := input1.size % bitfield.slot_size
+ offset_slot := input1.size / bitfield.slot_size
+ for i in 0 .. zbitnslots(input2.size) {
+ output.field[i + offset_slot] |= u32(input2.field[i] << u32(offset_bit))
+ }
+ /*
+ * If offset_bit is not zero, additional operations are needed.
+ * Number of iterations depends on the nr of slots in output. Two
+ * options:
+ * (a) nr of slots in output is the sum of inputs' slots. In this
+ * case, the nr of bits in the last slot of output is less than the
+ * nr of bits in the second input (i.e. ), OR
+ * (b) nr of slots of output is the sum of inputs' slots less one
+ * (i.e. less iterations needed). In this case, the nr of bits in
+ * the last slot of output is greater than the nr of bits in the second
+ * input.
+ * If offset_bit is zero, no additional copies needed.
+ */
+ if (output_size - 1) % bitfield.slot_size < (input2.size - 1) % bitfield.slot_size {
+ for i in 0 .. zbitnslots(input2.size) {
+ output.field[i + offset_slot + 1] |= u32(input2.field[i] >> u32(bitfield.slot_size - offset_bit))
+ }
+ } else if (output_size - 1) % bitfield.slot_size > (input2.size - 1) % bitfield.slot_size {
+ for i in 0 .. zbitnslots(input2.size) - 1 {
+ output.field[i + offset_slot + 1] |= u32(input2.field[i] >> u32(bitfield.slot_size - offset_bit))
+ }
+ }
+ return output
+}
+
+// get_size returns the number of bits the array can hold.
+pub fn (instance BitField) get_size() int {
+ return instance.size
+}
+
+// clone creates a copy of a bit array.
+pub fn (instance BitField) clone() BitField {
+ bitnslots := zbitnslots(instance.size)
+ mut output := new(instance.size)
+ for i in 0 .. bitnslots {
+ output.field[i] = instance.field[i]
+ }
+ return output
+}
+
+pub fn (a BitField) == (b BitField) bool {
+ if a.size != b.size {
+ return false
+ }
+ for i in 0 .. zbitnslots(a.size) {
+ if a.field[i] != b.field[i] {
+ return false
+ }
+ }
+ return true
+}
+
+// pop_count returns the number of set bits (ones) in the array.
+pub fn (instance BitField) pop_count() int {
+ size := instance.size
+ bitnslots := zbitnslots(size)
+ tail := size % bitfield.slot_size
+ mut count := 0
+ for i in 0 .. bitnslots - 1 {
+ for j in 0 .. bitfield.slot_size {
+ if u32(instance.field[i] >> u32(j)) & u32(1) == u32(1) {
+ count++
+ }
+ }
+ }
+ for j in 0 .. tail {
+ if u32(instance.field[bitnslots - 1] >> u32(j)) & u32(1) == u32(1) {
+ count++
+ }
+ }
+ return count
+}
+
+// hamming computes the Hamming distance between two bit arrays.
+pub fn hamming(input1 BitField, input2 BitField) int {
+ input_xored := bf_xor(input1, input2)
+ return input_xored.pop_count()
+}
+
+// pos checks if the array contains a sub-array 'needle' and returns its
+// position if it does, -1 if it does not, and -2 on error.
+pub fn (haystack BitField) pos(needle BitField) int {
+ heystack_size := haystack.size
+ needle_size := needle.size
+ diff := heystack_size - needle_size
+ // needle longer than haystack; return error code -2
+ if diff < 0 {
+ return -2
+ }
+ for i := 0; i <= diff; i++ {
+ needle_candidate := haystack.slice(i, needle_size + i)
+ if needle_candidate == needle {
+ // needle matches a sub-array of haystack; return starting position of the sub-array
+ return i
+ }
+ }
+ // nothing matched; return -1
+ return -1
+}
+
+// slice returns a sub-array of bits between 'start_bit_nr' (included) and
+// 'end_bit_nr' (excluded).
+pub fn (input BitField) slice(_start int, _end int) BitField {
+ // boundary checks
+ mut start := _start
+ mut end := _end
+ if end > input.size {
+ end = input.size // or panic?
+ }
+ if start > end {
+ start = end // or panic?
+ }
+ mut output := new(end - start)
+ start_offset := start % bitfield.slot_size
+ end_offset := (end - 1) % bitfield.slot_size
+ start_slot := start / bitfield.slot_size
+ end_slot := (end - 1) / bitfield.slot_size
+ output_slots := zbitnslots(end - start)
+ if output_slots > 1 {
+ if start_offset != 0 {
+ for i in 0 .. output_slots - 1 {
+ output.field[i] = u32(input.field[start_slot + i] >> u32(start_offset))
+ output.field[i] = output.field[i] | u32(input.field[start_slot + i + 1] << u32(bitfield.slot_size - start_offset))
+ }
+ } else {
+ for i in 0 .. output_slots - 1 {
+ output.field[i] = u32(input.field[start_slot + i])
+ }
+ }
+ }
+ if start_offset > end_offset {
+ output.field[(end - start - 1) / bitfield.slot_size] = u32(input.field[end_slot - 1] >> u32(start_offset))
+ mut mask := u32((1 << (end_offset + 1)) - 1)
+ mask = input.field[end_slot] & mask
+ mask = u32(mask << u32(bitfield.slot_size - start_offset))
+ output.field[(end - start - 1) / bitfield.slot_size] |= mask
+ } else if start_offset == 0 {
+ mut mask := u32(0)
+ if end_offset == bitfield.slot_size - 1 {
+ mask = u32(-1)
+ } else {
+ mask = u32(u32(1) << u32(end_offset + 1))
+ mask = mask - u32(1)
+ }
+ output.field[(end - start - 1) / bitfield.slot_size] = (input.field[end_slot] & mask)
+ } else {
+ mut mask := u32(((1 << (end_offset - start_offset + 1)) - 1) << start_offset)
+ mask = input.field[end_slot] & mask
+ mask = u32(mask >> u32(start_offset))
+ output.field[(end - start - 1) / bitfield.slot_size] |= mask
+ }
+ return output
+}
+
+// reverse reverses the order of bits in the array (swap the first with the
+// last, the second with the last but one and so on).
+pub fn (instance BitField) reverse() BitField {
+ size := instance.size
+ bitnslots := zbitnslots(size)
+ mut output := new(size)
+ for i := 0; i < (bitnslots - 1); i++ {
+ for j in 0 .. bitfield.slot_size {
+ if u32(instance.field[i] >> u32(j)) & u32(1) == u32(1) {
+ output.set_bit(size - i * bitfield.slot_size - j - 1)
+ }
+ }
+ }
+ bits_in_last_input_slot := (size - 1) % bitfield.slot_size + 1
+ for j in 0 .. bits_in_last_input_slot {
+ if u32(instance.field[bitnslots - 1] >> u32(j)) & u32(1) == u32(1) {
+ output.set_bit(bits_in_last_input_slot - j - 1)
+ }
+ }
+ return output
+}
+
+// resize changes the size of the bit array to 'new_size'.
+pub fn (mut instance BitField) resize(new_size int) {
+ new_bitnslots := zbitnslots(new_size)
+ old_size := instance.size
+ old_bitnslots := zbitnslots(old_size)
+ mut field := []u32{len: new_bitnslots}
+ for i := 0; i < old_bitnslots && i < new_bitnslots; i++ {
+ field[i] = instance.field[i]
+ }
+ instance.field = field.clone()
+ instance.size = new_size
+ if new_size < old_size && new_size % bitfield.slot_size != 0 {
+ instance.clear_tail()
+ }
+}
+
+// rotate circular-shifts the bits by 'offset' positions (move
+// 'offset' bit to 0, 'offset+1' bit to 1, and so on).
+pub fn (instance BitField) rotate(offset int) BitField {
+ /*
+ *
+ * This function "cuts" the bitfield into two and swaps them.
+ * If the offset is positive, the cutting point is counted from the
+ * beginning of the bit array, otherwise from the end.
+ *
+ */
+ size := instance.size
+ // removing extra rotations
+ 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
+// clear_tail clears the extra bits that are not part of the bitfield, but yet are allocated
+fn (mut instance BitField) clear_tail() {
+ tail := instance.size % bitfield.slot_size
+ if tail != 0 {
+ // create a mask for the tail
+ mask := u32((1 << tail) - 1)
+ // clear the extra bits
+ instance.field[zbitnslots(instance.size) - 1] = instance.field[zbitnslots(instance.size) - 1] & mask
+ }
+}
+
+// bitmask is the bitmask needed to access a particular bit at offset bitnr
+fn bitmask(bitnr int) u32 {
+ return u32(u32(1) << u32(bitnr % bitfield.slot_size))
+}
+
+// bitslot is the slot index (i.e. the integer) where a particular bit is located
+fn bitslot(size int) int {
+ return size / bitfield.slot_size
+}
+
+// min returns the minimum of 2 integers; it is here to avoid importing math just for that
+fn min(input1 int, input2 int) int {
+ if input1 < input2 {
+ return input1
+ } else {
+ return input2
+ }
+}
+
+// zbitnslots returns the minimum number of whole integers, needed to represent a bitfield of size length
+fn zbitnslots(length int) int {
+ return (length - 1) / bitfield.slot_size + 1
+}