549 lines
19 KiB
C
549 lines
19 KiB
C
/*
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bit_array.h
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project: bit array C library
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url: https://github.com/noporpoise/BitArray/
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maintainer: Isaac Turner <[email protected]>
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license: Public Domain, no warranty
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date: Sep 2014
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*/
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#ifndef BIT_ARRAY_HEADER_SEEN
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#define BIT_ARRAY_HEADER_SEEN
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#include <stdio.h>
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#include <inttypes.h>
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#include "bit_macros.h"
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typedef struct BIT_ARRAY BIT_ARRAY;
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// 64 bit words
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typedef uint64_t word_t, word_addr_t, bit_index_t;
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typedef uint8_t word_offset_t; // Offset within a 64 bit word
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#define BIT_INDEX_MIN 0
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#define BIT_INDEX_MAX (~(bit_index_t)0)
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#ifdef __cplusplus
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extern "C" {
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#endif
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//
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// Structs
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//
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struct BIT_ARRAY
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{
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word_t* words;
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bit_index_t num_of_bits;
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// Number of words used -- this is just round_up(num_of_bits / 64)
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// if num_of_bits == 0, this is 0
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word_addr_t num_of_words;
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// For more efficient allocation we use realloc only to double size --
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// not for adding every word. Initial size is INIT_CAPACITY_WORDS.
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word_addr_t capacity_in_words;
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};
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//
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// Basics: Constructor, destructor, get length, resize
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//
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// Constructor - create a new bit array of length nbits
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BIT_ARRAY* bit_array_create(bit_index_t nbits);
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// Destructor - free the memory used for a bit array
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void bit_array_free(BIT_ARRAY* bitarray);
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// Allocate using existing struct
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BIT_ARRAY* bit_array_alloc(BIT_ARRAY* bitarr, bit_index_t nbits);
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void bit_array_dealloc(BIT_ARRAY* bitarr);
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// Get length of bit array
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bit_index_t bit_array_length(const BIT_ARRAY* bit_arr);
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// Change the size of a bit array. Enlarging an array will add zeros
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// to the end of it. Returns 1 on success, 0 on failure (e.g. not enough memory)
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char bit_array_resize(BIT_ARRAY* bitarr, bit_index_t new_num_of_bits);
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// If bitarr length < num_bits, resizes to num_bits
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char bit_array_ensure_size(BIT_ARRAY* bitarr, bit_index_t ensure_num_of_bits);
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// Same as above but exit with an error message if out of memory
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void bit_array_resize_critical(BIT_ARRAY* bitarr, bit_index_t num_of_bits);
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void bit_array_ensure_size_critical(BIT_ARRAY* bitarr, bit_index_t num_of_bits);
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//
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// Macros
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//
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//
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// Get, set, clear, assign and toggle individual bits
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// Macros for fast access -- beware: no bounds checking
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//
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#define bit_array_get(arr,i) bitset_get((arr)->words, i)
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#define bit_array_set(arr,i) bitset_set((arr)->words, i)
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#define bit_array_clear(arr,i) bitset_del((arr)->words, i)
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#define bit_array_toggle(arr,i) bitset_tgl((arr)->words, i)
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// c must be 0 or 1
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#define bit_array_assign(arr,i,c) bitset_cpy((arr)->words,i,c)
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//
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// Get, set, clear, assign and toggle individual bits
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// "Safe": use assert() to check bounds
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//
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// Get the value of a bit (returns 0 or 1)
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char bit_array_get_bit(const BIT_ARRAY* bitarr, bit_index_t b);
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void bit_array_set_bit(BIT_ARRAY* bitarr, bit_index_t b);
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void bit_array_clear_bit(BIT_ARRAY* bitarr, bit_index_t b);
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void bit_array_toggle_bit(BIT_ARRAY* bitarr, bit_index_t b);
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// If char c != 0, set bit; otherwise clear bit
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void bit_array_assign_bit(BIT_ARRAY* bitarr, bit_index_t b, char c);
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//
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// "Resizing": enlarge array if needed
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//
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char bit_array_rget(BIT_ARRAY* bitarr, bit_index_t b);
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void bit_array_rset(BIT_ARRAY* bitarr, bit_index_t b);
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void bit_array_rclear(BIT_ARRAY* bitarr, bit_index_t b);
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void bit_array_rtoggle(BIT_ARRAY* bitarr, bit_index_t b);
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void bit_array_rassign(BIT_ARRAY* bitarr, bit_index_t b, char c);
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//
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// Set, clear and toggle several bits at once
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//
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// Set multiple bits at once.
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// e.g. set bits 1, 20 & 31: bit_array_set_bits(bitarr, 3, 1,20,31);
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// Note: variable args are of type unsigned int
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void bit_array_set_bits(BIT_ARRAY* bitarr, size_t n, ...);
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// Clear multiple bits at once.
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// e.g. clear bits 1, 20 & 31: bit_array_clear_bits(bitarr, 3, 1,20,31);
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// Note: variable args are of type unsigned int
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void bit_array_clear_bits(BIT_ARRAY* bitarr, size_t n, ...);
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// Toggle multiple bits at once
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// e.g. toggle bits 1, 20 & 31: bit_array_toggle_bits(bitarr, 3, 1,20,31);
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// Note: variable args are of type unsigned int
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void bit_array_toggle_bits(BIT_ARRAY* bitarr, size_t n, ...);
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//
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// Set, clear and toggle all bits in a region
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//
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// Set all the bits in a region
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void bit_array_set_region(BIT_ARRAY* bitarr, bit_index_t start, bit_index_t len);
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// Clear all the bits in a region
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void bit_array_clear_region(BIT_ARRAY* bitarr, bit_index_t start, bit_index_t len);
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// Toggle all the bits in a region
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void bit_array_toggle_region(BIT_ARRAY* bitarr, bit_index_t start, bit_index_t len);
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//
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// Set, clear and toggle all bits at once
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//
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// Set all bits in this array to 1
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void bit_array_set_all(BIT_ARRAY* bitarr);
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// Set all bits in this array to 0
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void bit_array_clear_all(BIT_ARRAY* bitarr);
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// Set all 1 bits to 0, and all 0 bits to 1
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void bit_array_toggle_all(BIT_ARRAY* bitarr);
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//
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// Get / set a word of a given size
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//
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// First bit is in the least significant bit position
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// start index must be within the range of the bit array (0 <= x < length)
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uint64_t bit_array_get_word64(const BIT_ARRAY* bitarr, bit_index_t start);
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uint32_t bit_array_get_word32(const BIT_ARRAY* bitarr, bit_index_t start);
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uint16_t bit_array_get_word16(const BIT_ARRAY* bitarr, bit_index_t start);
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uint8_t bit_array_get_word8(const BIT_ARRAY* bitarr, bit_index_t start);
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uint64_t bit_array_get_wordn(const BIT_ARRAY* bitarr, bit_index_t start, int n);
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// Set 64 bits at once from a particular start position
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// Doesn't extend bit array. However it is safe to TRY to set bits beyond the
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// end of the array, as long as: `start` is < `bit_array_length(arr)`
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void bit_array_set_word64(BIT_ARRAY* bitarr, bit_index_t start, uint64_t word);
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void bit_array_set_word32(BIT_ARRAY* bitarr, bit_index_t start, uint32_t word);
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void bit_array_set_word16(BIT_ARRAY* bitarr, bit_index_t start, uint16_t word);
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void bit_array_set_word8(BIT_ARRAY* bitarr, bit_index_t start, uint8_t byte);
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void bit_array_set_wordn(BIT_ARRAY* bitarr, bit_index_t start, uint64_t word, int n);
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//
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// Number of bits set
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//
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// Get the number of bits set (hamming weight)
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bit_index_t bit_array_num_bits_set(const BIT_ARRAY* bitarr);
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// Get the number of bits not set (length - hamming weight)
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bit_index_t bit_array_num_bits_cleared(const BIT_ARRAY* bitarr);
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// Get the number of bits set in on array and not the other. This is equivalent
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// to hamming weight of the XOR when the two arrays are the same length.
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// e.g. 10101 vs 00111 => hamming distance 2 (XOR is 10010)
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bit_index_t bit_array_hamming_distance(const BIT_ARRAY* arr1,
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const BIT_ARRAY* arr2);
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// Parity - returns 1 if odd number of bits set, 0 if even
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char bit_array_parity(const BIT_ARRAY* bitarr);
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//
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// Find indices of set/clear bits
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//
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// Find the index of the next bit that is set, at or after `offset`
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// Returns 1 if a bit is set, otherwise 0
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// Index of next set bit is stored in the integer pointed to by result
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// If no next bit is set result is not changed
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char bit_array_find_next_set_bit(const BIT_ARRAY* bitarr, bit_index_t offset,
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bit_index_t* result);
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// Find the index of the next bit that is NOT set, at or after `offset`
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// Returns 1 if a bit is NOT set, otherwise 0
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// Index of next zero bit is stored in the integer pointed to by `result`
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// If no next bit is zero, value at `result` is not changed
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char bit_array_find_next_clear_bit(const BIT_ARRAY* bitarr, bit_index_t offset,
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bit_index_t* result);
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// Find the index of the previous bit that is set, before offset.
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// Returns 1 if a bit is set, otherwise 0
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// Index of previous set bit is stored in the integer pointed to by `result`
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// If no previous bit is set result is not changed
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char bit_array_find_prev_set_bit(const BIT_ARRAY* bitarr, bit_index_t offset,
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bit_index_t* result);
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// Find the index of the previous bit that is NOT set, before offset.
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// Returns 1 if a bit is clear, otherwise 0
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// Index of previous zero bit is stored in the integer pointed to by `result`
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// If no previous bit is zero result is not changed
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char bit_array_find_prev_clear_bit(const BIT_ARRAY* bitarr, bit_index_t offset,
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bit_index_t* result);
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// Find the index of the first bit that is set.
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// Returns 1 if a bit is set, otherwise 0
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// Index of first set bit is stored in the integer pointed to by `result`
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// If no bit is set result is not changed
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char bit_array_find_first_set_bit(const BIT_ARRAY* bitarr, bit_index_t* result);
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// Find the index of the first bit that is NOT set.
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// Returns 1 if a bit is clear, otherwise 0
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// Index of first zero bit is stored in the integer pointed to by `result`
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// If no bit is zero result is not changed
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char bit_array_find_first_clear_bit(const BIT_ARRAY* bitarr, bit_index_t* result);
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// Find the index of the last bit that is set.
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// Returns 1 if a bit is set, otherwise 0
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// Index of last set bit is stored in the integer pointed to by `result`
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// If no bit is set result is not changed
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char bit_array_find_last_set_bit(const BIT_ARRAY* bitarr, bit_index_t* result);
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// Find the index of the last bit that is NOT set.
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// Returns 1 if a bit is clear, otherwise 0
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// Index of last zero bit is stored in the integer pointed to by `result`
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// If no bit is zero result is not changed
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char bit_array_find_last_clear_bit(const BIT_ARRAY* bitarr, bit_index_t* result);
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//
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// Sorting
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//
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// Put all the 0s before all the 1s
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void bit_array_sort_bits(BIT_ARRAY* bitarr);
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// Put all the 1s before all the 0s
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void bit_array_sort_bits_rev(BIT_ARRAY* bitarr);
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//
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// String and printing methods
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//
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// Construct a BIT_ARRAY from a string.
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void bit_array_from_str(BIT_ARRAY* bitarr, const char* bitstr);
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// Construct a BIT_ARRAY from a substring with given on and off characters.
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void bit_array_from_substr(BIT_ARRAY* bitarr, bit_index_t offset,
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const char* str, size_t len,
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const char *on, const char *off, char left_to_right);
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// Takes a char array to write to. `str` must be bitarr->num_of_bits+1 in
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// length. Terminates string with '\0'
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char* bit_array_to_str(const BIT_ARRAY* bitarr, char* str);
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char* bit_array_to_str_rev(const BIT_ARRAY* bitarr, char* str);
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// Get a string representations for a given region, using given on/off
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// characters.
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// Note: does not null-terminate
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void bit_array_to_substr(const BIT_ARRAY* bitarr,
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bit_index_t start, bit_index_t length,
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char* str, char on, char off, char left_to_right);
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// Print this array to a file stream. Prints '0's and '1'. Doesn't print
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// newline.
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void bit_array_print(const BIT_ARRAY* bitarr, FILE* fout);
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// Print a string representations for a given region, using given on/off
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// characters. Reverse prints from highest to lowest -- this is useful for
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// printing binary numbers
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void bit_array_print_substr(const BIT_ARRAY* bitarr,
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bit_index_t start, bit_index_t length,
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FILE* fout, char on, char off, char left_to_right);
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//
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// Decimal
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//
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// Get bit array as decimal str (e.g. 0b1101 -> "13")
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size_t bit_array_to_decimal(const BIT_ARRAY *bitarr, char *str, size_t len);
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// Return number of characters used
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size_t bit_array_from_decimal(BIT_ARRAY *bitarr, const char* decimal);
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//
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// Hexidecimal
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//
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// Loads array from hex string
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// Returns the number of bits loaded (will be chars rounded up to multiple of 8)
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// (0 on failure)
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bit_index_t bit_array_from_hex(BIT_ARRAY* bitarr, bit_index_t offset,
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const char* str, size_t len);
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// Returns number of characters written
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size_t bit_array_to_hex(const BIT_ARRAY* bitarr,
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bit_index_t start, bit_index_t length,
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char* str, char uppercase);
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// Print bit array as hex
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size_t bit_array_print_hex(const BIT_ARRAY* bitarr,
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bit_index_t start, bit_index_t length,
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FILE* fout, char uppercase);
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//
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// Clone and copy
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//
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// Copy a BIT_ARRAY struct and the data it holds - returns pointer to new object
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#define bit_array_dup bit_array_clone
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BIT_ARRAY* bit_array_clone(const BIT_ARRAY* bitarr);
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// Copy bits from one array to another
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// Note: use MACRO bit_array_copy
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// Destination and source can be the same bit_array and
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// src/dst regions can overlap
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void bit_array_copy(BIT_ARRAY* dst, bit_index_t dstindx,
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const BIT_ARRAY* src, bit_index_t srcindx,
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bit_index_t length);
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// copy all of src to dst. dst is resized to match src.
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void bit_array_copy_all(BIT_ARRAY* dst, const BIT_ARRAY* src);
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//
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// Logic operators
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//
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// BIT_ARRAYs can all be different or the same object
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// dest array will be resized if it is too short
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//
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void bit_array_and(BIT_ARRAY* dest, const BIT_ARRAY* src1, const BIT_ARRAY* src2);
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void bit_array_or (BIT_ARRAY* dest, const BIT_ARRAY* src1, const BIT_ARRAY* src2);
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void bit_array_xor(BIT_ARRAY* dest, const BIT_ARRAY* src1, const BIT_ARRAY* src2);
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void bit_array_not(BIT_ARRAY* dest, const BIT_ARRAY* src);
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//
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// Comparisons
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//
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// Note: (bit_array_cmp(a,b) == 0) <=> (bit_array_cmp_big_endian(a,b) == 0)
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// comparison functions return:
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// 1 iff bitarr1 > bitarr2
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// 0 iff bitarr1 == bitarr2
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// -1 iff bitarr1 < bitarr2
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// Compare two bit arrays by value stored, with index 0 being the Least
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// Significant Bit (LSB). Arrays do not have to be the same length.
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// Example: ..0101 (5) > ...0011 (3) [index 0 is LSB at right hand side]
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int bit_array_cmp(const BIT_ARRAY* bitarr1, const BIT_ARRAY* bitarr2);
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// Compare two bit arrays by value stored, with index 0 being the Most
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// Significant Bit (MSB). Arrays do not have to be the same length.
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// Example: 10.. > 01.. [index 0 is MSB at left hand side]
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int bit_array_cmp_big_endian(const BIT_ARRAY* bitarr1, const BIT_ARRAY* bitarr2);
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// compare bitarr with (bitarr2 << pos)
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int bit_array_cmp_words(const BIT_ARRAY *bitarr,
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bit_index_t pos, const BIT_ARRAY *bitarr2);
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//
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// Shift, interleave, reverse
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//
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// Shift array left/right. If fill is zero, filled with 0, otherwise 1
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void bit_array_shift_right(BIT_ARRAY* bitarr, bit_index_t shift_dist, char fill);
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void bit_array_shift_left (BIT_ARRAY* bitarr, bit_index_t shift_dist, char fill);
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// shift left without losing any bits. Resizes bitarr.
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void bit_array_shift_left_extend(BIT_ARRAY* bitarr, bit_index_t shift_dist,
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char fill);
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// Cyclic shift
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void bit_array_cycle_right(BIT_ARRAY* bitarr, bit_index_t dist);
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void bit_array_cycle_left (BIT_ARRAY* bitarr, bit_index_t dist);
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// Interleave
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// dst cannot point to the same bit array as src1 or src2
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// src1, src2 may point to the same bit array
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// abcd 1234 -> a1b2c3d4
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// 0011 0000 -> 00001010
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// 1111 0000 -> 10101010
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// 0101 1010 -> 01100110
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// Extends dst if it is too short, but does not shrink it if it is too long
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// if dst is longer than length(src1)+length(src2), the end bits are not altered
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void bit_array_interleave(BIT_ARRAY* dst,
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const BIT_ARRAY* src1,
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const BIT_ARRAY* src2);
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// Reverse the whole array or part of it
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void bit_array_reverse(BIT_ARRAY* bitarr);
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void bit_array_reverse_region(BIT_ARRAY* bitarr, bit_index_t start, bit_index_t len);
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//
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// Numeric
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//
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// Returns 1 on sucess, 0 if value in array is too big
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char bit_array_as_num(const BIT_ARRAY* bitarr, uint64_t* result);
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// 1 iff bitarr > value
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// 0 iff bitarr == value
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// -1 iff bitarr < value
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int bit_array_cmp_uint64(const BIT_ARRAY* bitarr, uint64_t value);
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//
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// Arithmetic
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//
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// bitarr will be extended if needed
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void bit_array_add_uint64(BIT_ARRAY* bitarr, uint64_t value);
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// Add `add` to `bitarr` at `pos` -- same as:
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// bitarr + (add << pos)
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// where pos can be bigger than the length of the array (bitarr will be resized)
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void bit_array_add_word(BIT_ARRAY *bitarr, bit_index_t pos, uint64_t add);
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// Add `add` to `bitarr` at `pos`
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void bit_array_add_words(BIT_ARRAY *bitarr, bit_index_t pos, const BIT_ARRAY *add);
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// If value is greater than bitarr, bitarr is not changed and 0 is returned
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// Returns 1 on success, 0 if value > bitarr
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char bit_array_sub_uint64(BIT_ARRAY* bitarr, uint64_t value);
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// minus `minus` from `bitarr` at `pos` -- same as:
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// bitarr + (minus << pos)
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// Returns 1 on success, 0 if value > bitarr
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char bit_array_sub_word(BIT_ARRAY *bitarr, bit_index_t pos, word_t minus);
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// minus `minus` from `bitarr` at `pos`
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// Returns 1 on success, 0 if value > bitarr
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char bit_array_sub_words(BIT_ARRAY* bitarr, bit_index_t pos, BIT_ARRAY* minus);
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// Multiply by some value
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void bit_array_mul_uint64(BIT_ARRAY *bitarr, uint64_t multiplier);
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// bitarr = round_down(bitarr / divisor)
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// rem = bitarr % divisor
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void bit_array_div_uint64(BIT_ARRAY *bitarr, uint64_t divisor, uint64_t *rem);
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//
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// Arithmetic between arrays
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//
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// dst = src1 + src2
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// src1, src2 and dst can all be the same BIT_ARRAY
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// If dst is shorter than either of src1, src2, it is enlarged
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void bit_array_add(BIT_ARRAY* dst, const BIT_ARRAY* src1, const BIT_ARRAY* src2);
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// dst = src1 - src2
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// src1, src2 and dst can all be the same BIT_ARRAY
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// If dst is shorter than src1, it will be extended to be as long as src1
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// src1 must be greater than or equal to src2 (src1 >= src2)
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void bit_array_subtract(BIT_ARRAY* dst,
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const BIT_ARRAY* src1, const BIT_ARRAY* src2);
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// dst = src1 * src2
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// Pointers cannot all point to the same BIT_ARRAY
|
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void bit_array_multiply(BIT_ARRAY *dst, BIT_ARRAY *src1, BIT_ARRAY *src2);
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// Results in:
|
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// quotient = dividend / divisor
|
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// dividend = dividend % divisor
|
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// (dividend is used to return the remainder)
|
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void bit_array_divide(BIT_ARRAY *dividend, BIT_ARRAY *quotient, BIT_ARRAY *divisor);
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|
|
|
//
|
|
// Read/Write bit_array to a file
|
|
//
|
|
// File format is [8 bytes: for number of elements in array][data]
|
|
// Number of bytes of data is: (int)((num_of_bits + 7) / 8)
|
|
//
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|
|
|
// Saves bit array to a file
|
|
// returns the number of bytes written
|
|
bit_index_t bit_array_save(const BIT_ARRAY* bitarr, FILE* f);
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|
|
|
// Reads bit array from a file. bitarr is resized and filled.
|
|
// Returns 1 on success, 0 on failure
|
|
char bit_array_load(BIT_ARRAY* bitarr, FILE* f);
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|
|
|
|
//
|
|
// Hash function
|
|
//
|
|
|
|
// Pass seed as 0 on first call, pass previous hash value if rehashing due
|
|
// to a collision
|
|
// Using bob jenkins hash lookup3
|
|
uint64_t bit_array_hash(const BIT_ARRAY* bitarr, uint64_t seed);
|
|
|
|
//
|
|
// Randomness
|
|
//
|
|
|
|
// Get the next permutation of an array with a fixed size and given number of
|
|
// bits set. Also known as next lexicographic permutation.
|
|
// Given a bit array find the next lexicographic orginisation of the bits
|
|
// Number of possible combinations given by (size choose bits_set) i.e. nCk
|
|
// 00011 -> 00101 -> 00110 -> 01001 -> 01010 ->
|
|
// 01100 -> 10001 -> 10010 -> 10100 -> 11000 -> 00011 (back to start)
|
|
void bit_array_next_permutation(BIT_ARRAY* bitarr);
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|
|
|
//
|
|
// Generally useful functions
|
|
//
|
|
|
|
// Generalised 'binary to string' function
|
|
// Adds bits to the string in order of lsb to msb
|
|
// e.g. 0b11010 (26 in decimal) would come out as "01011"
|
|
char* bit_array_word2str(const void *ptr, size_t num_of_bits, char *str);
|
|
|
|
// Same as above but in reverse
|
|
char* bit_array_word2str_rev(const void *ptr, size_t num_of_bits, char *str);
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif
|