| // SPDX-License-Identifier: GPL-2.0-only | 
 | /* | 
 |  * lib/bitmap.c | 
 |  * Helper functions for bitmap.h. | 
 |  */ | 
 |  | 
 | #include <linux/bitmap.h> | 
 | #include <linux/bitops.h> | 
 | #include <linux/ctype.h> | 
 | #include <linux/device.h> | 
 | #include <linux/export.h> | 
 | #include <linux/slab.h> | 
 |  | 
 | /** | 
 |  * DOC: bitmap introduction | 
 |  * | 
 |  * bitmaps provide an array of bits, implemented using an | 
 |  * array of unsigned longs.  The number of valid bits in a | 
 |  * given bitmap does _not_ need to be an exact multiple of | 
 |  * BITS_PER_LONG. | 
 |  * | 
 |  * The possible unused bits in the last, partially used word | 
 |  * of a bitmap are 'don't care'.  The implementation makes | 
 |  * no particular effort to keep them zero.  It ensures that | 
 |  * their value will not affect the results of any operation. | 
 |  * The bitmap operations that return Boolean (bitmap_empty, | 
 |  * for example) or scalar (bitmap_weight, for example) results | 
 |  * carefully filter out these unused bits from impacting their | 
 |  * results. | 
 |  * | 
 |  * The byte ordering of bitmaps is more natural on little | 
 |  * endian architectures.  See the big-endian headers | 
 |  * include/asm-ppc64/bitops.h and include/asm-s390/bitops.h | 
 |  * for the best explanations of this ordering. | 
 |  */ | 
 |  | 
 | bool __bitmap_equal(const unsigned long *bitmap1, | 
 | 		    const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	unsigned int k, lim = bits/BITS_PER_LONG; | 
 | 	for (k = 0; k < lim; ++k) | 
 | 		if (bitmap1[k] != bitmap2[k]) | 
 | 			return false; | 
 |  | 
 | 	if (bits % BITS_PER_LONG) | 
 | 		if ((bitmap1[k] ^ bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits)) | 
 | 			return false; | 
 |  | 
 | 	return true; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_equal); | 
 |  | 
 | bool __bitmap_or_equal(const unsigned long *bitmap1, | 
 | 		       const unsigned long *bitmap2, | 
 | 		       const unsigned long *bitmap3, | 
 | 		       unsigned int bits) | 
 | { | 
 | 	unsigned int k, lim = bits / BITS_PER_LONG; | 
 | 	unsigned long tmp; | 
 |  | 
 | 	for (k = 0; k < lim; ++k) { | 
 | 		if ((bitmap1[k] | bitmap2[k]) != bitmap3[k]) | 
 | 			return false; | 
 | 	} | 
 |  | 
 | 	if (!(bits % BITS_PER_LONG)) | 
 | 		return true; | 
 |  | 
 | 	tmp = (bitmap1[k] | bitmap2[k]) ^ bitmap3[k]; | 
 | 	return (tmp & BITMAP_LAST_WORD_MASK(bits)) == 0; | 
 | } | 
 |  | 
 | void __bitmap_complement(unsigned long *dst, const unsigned long *src, unsigned int bits) | 
 | { | 
 | 	unsigned int k, lim = BITS_TO_LONGS(bits); | 
 | 	for (k = 0; k < lim; ++k) | 
 | 		dst[k] = ~src[k]; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_complement); | 
 |  | 
 | /** | 
 |  * __bitmap_shift_right - logical right shift of the bits in a bitmap | 
 |  *   @dst : destination bitmap | 
 |  *   @src : source bitmap | 
 |  *   @shift : shift by this many bits | 
 |  *   @nbits : bitmap size, in bits | 
 |  * | 
 |  * Shifting right (dividing) means moving bits in the MS -> LS bit | 
 |  * direction.  Zeros are fed into the vacated MS positions and the | 
 |  * LS bits shifted off the bottom are lost. | 
 |  */ | 
 | void __bitmap_shift_right(unsigned long *dst, const unsigned long *src, | 
 | 			unsigned shift, unsigned nbits) | 
 | { | 
 | 	unsigned k, lim = BITS_TO_LONGS(nbits); | 
 | 	unsigned off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG; | 
 | 	unsigned long mask = BITMAP_LAST_WORD_MASK(nbits); | 
 | 	for (k = 0; off + k < lim; ++k) { | 
 | 		unsigned long upper, lower; | 
 |  | 
 | 		/* | 
 | 		 * If shift is not word aligned, take lower rem bits of | 
 | 		 * word above and make them the top rem bits of result. | 
 | 		 */ | 
 | 		if (!rem || off + k + 1 >= lim) | 
 | 			upper = 0; | 
 | 		else { | 
 | 			upper = src[off + k + 1]; | 
 | 			if (off + k + 1 == lim - 1) | 
 | 				upper &= mask; | 
 | 			upper <<= (BITS_PER_LONG - rem); | 
 | 		} | 
 | 		lower = src[off + k]; | 
 | 		if (off + k == lim - 1) | 
 | 			lower &= mask; | 
 | 		lower >>= rem; | 
 | 		dst[k] = lower | upper; | 
 | 	} | 
 | 	if (off) | 
 | 		memset(&dst[lim - off], 0, off*sizeof(unsigned long)); | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_shift_right); | 
 |  | 
 |  | 
 | /** | 
 |  * __bitmap_shift_left - logical left shift of the bits in a bitmap | 
 |  *   @dst : destination bitmap | 
 |  *   @src : source bitmap | 
 |  *   @shift : shift by this many bits | 
 |  *   @nbits : bitmap size, in bits | 
 |  * | 
 |  * Shifting left (multiplying) means moving bits in the LS -> MS | 
 |  * direction.  Zeros are fed into the vacated LS bit positions | 
 |  * and those MS bits shifted off the top are lost. | 
 |  */ | 
 |  | 
 | void __bitmap_shift_left(unsigned long *dst, const unsigned long *src, | 
 | 			unsigned int shift, unsigned int nbits) | 
 | { | 
 | 	int k; | 
 | 	unsigned int lim = BITS_TO_LONGS(nbits); | 
 | 	unsigned int off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG; | 
 | 	for (k = lim - off - 1; k >= 0; --k) { | 
 | 		unsigned long upper, lower; | 
 |  | 
 | 		/* | 
 | 		 * If shift is not word aligned, take upper rem bits of | 
 | 		 * word below and make them the bottom rem bits of result. | 
 | 		 */ | 
 | 		if (rem && k > 0) | 
 | 			lower = src[k - 1] >> (BITS_PER_LONG - rem); | 
 | 		else | 
 | 			lower = 0; | 
 | 		upper = src[k] << rem; | 
 | 		dst[k + off] = lower | upper; | 
 | 	} | 
 | 	if (off) | 
 | 		memset(dst, 0, off*sizeof(unsigned long)); | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_shift_left); | 
 |  | 
 | /** | 
 |  * bitmap_cut() - remove bit region from bitmap and right shift remaining bits | 
 |  * @dst: destination bitmap, might overlap with src | 
 |  * @src: source bitmap | 
 |  * @first: start bit of region to be removed | 
 |  * @cut: number of bits to remove | 
 |  * @nbits: bitmap size, in bits | 
 |  * | 
 |  * Set the n-th bit of @dst iff the n-th bit of @src is set and | 
 |  * n is less than @first, or the m-th bit of @src is set for any | 
 |  * m such that @first <= n < nbits, and m = n + @cut. | 
 |  * | 
 |  * In pictures, example for a big-endian 32-bit architecture: | 
 |  * | 
 |  * The @src bitmap is:: | 
 |  * | 
 |  *   31                                   63 | 
 |  *   |                                    | | 
 |  *   10000000 11000001 11110010 00010101  10000000 11000001 01110010 00010101 | 
 |  *                   |  |              |                                    | | 
 |  *                  16  14             0                                   32 | 
 |  * | 
 |  * if @cut is 3, and @first is 14, bits 14-16 in @src are cut and @dst is:: | 
 |  * | 
 |  *   31                                   63 | 
 |  *   |                                    | | 
 |  *   10110000 00011000 00110010 00010101  00010000 00011000 00101110 01000010 | 
 |  *                      |              |                                    | | 
 |  *                      14 (bit 17     0                                   32 | 
 |  *                          from @src) | 
 |  * | 
 |  * Note that @dst and @src might overlap partially or entirely. | 
 |  * | 
 |  * This is implemented in the obvious way, with a shift and carry | 
 |  * step for each moved bit. Optimisation is left as an exercise | 
 |  * for the compiler. | 
 |  */ | 
 | void bitmap_cut(unsigned long *dst, const unsigned long *src, | 
 | 		unsigned int first, unsigned int cut, unsigned int nbits) | 
 | { | 
 | 	unsigned int len = BITS_TO_LONGS(nbits); | 
 | 	unsigned long keep = 0, carry; | 
 | 	int i; | 
 |  | 
 | 	if (first % BITS_PER_LONG) { | 
 | 		keep = src[first / BITS_PER_LONG] & | 
 | 		       (~0UL >> (BITS_PER_LONG - first % BITS_PER_LONG)); | 
 | 	} | 
 |  | 
 | 	memmove(dst, src, len * sizeof(*dst)); | 
 |  | 
 | 	while (cut--) { | 
 | 		for (i = first / BITS_PER_LONG; i < len; i++) { | 
 | 			if (i < len - 1) | 
 | 				carry = dst[i + 1] & 1UL; | 
 | 			else | 
 | 				carry = 0; | 
 |  | 
 | 			dst[i] = (dst[i] >> 1) | (carry << (BITS_PER_LONG - 1)); | 
 | 		} | 
 | 	} | 
 |  | 
 | 	dst[first / BITS_PER_LONG] &= ~0UL << (first % BITS_PER_LONG); | 
 | 	dst[first / BITS_PER_LONG] |= keep; | 
 | } | 
 | EXPORT_SYMBOL(bitmap_cut); | 
 |  | 
 | bool __bitmap_and(unsigned long *dst, const unsigned long *bitmap1, | 
 | 				const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	unsigned int k; | 
 | 	unsigned int lim = bits/BITS_PER_LONG; | 
 | 	unsigned long result = 0; | 
 |  | 
 | 	for (k = 0; k < lim; k++) | 
 | 		result |= (dst[k] = bitmap1[k] & bitmap2[k]); | 
 | 	if (bits % BITS_PER_LONG) | 
 | 		result |= (dst[k] = bitmap1[k] & bitmap2[k] & | 
 | 			   BITMAP_LAST_WORD_MASK(bits)); | 
 | 	return result != 0; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_and); | 
 |  | 
 | void __bitmap_or(unsigned long *dst, const unsigned long *bitmap1, | 
 | 				const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	unsigned int k; | 
 | 	unsigned int nr = BITS_TO_LONGS(bits); | 
 |  | 
 | 	for (k = 0; k < nr; k++) | 
 | 		dst[k] = bitmap1[k] | bitmap2[k]; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_or); | 
 |  | 
 | void __bitmap_xor(unsigned long *dst, const unsigned long *bitmap1, | 
 | 				const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	unsigned int k; | 
 | 	unsigned int nr = BITS_TO_LONGS(bits); | 
 |  | 
 | 	for (k = 0; k < nr; k++) | 
 | 		dst[k] = bitmap1[k] ^ bitmap2[k]; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_xor); | 
 |  | 
 | bool __bitmap_andnot(unsigned long *dst, const unsigned long *bitmap1, | 
 | 				const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	unsigned int k; | 
 | 	unsigned int lim = bits/BITS_PER_LONG; | 
 | 	unsigned long result = 0; | 
 |  | 
 | 	for (k = 0; k < lim; k++) | 
 | 		result |= (dst[k] = bitmap1[k] & ~bitmap2[k]); | 
 | 	if (bits % BITS_PER_LONG) | 
 | 		result |= (dst[k] = bitmap1[k] & ~bitmap2[k] & | 
 | 			   BITMAP_LAST_WORD_MASK(bits)); | 
 | 	return result != 0; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_andnot); | 
 |  | 
 | void __bitmap_replace(unsigned long *dst, | 
 | 		      const unsigned long *old, const unsigned long *new, | 
 | 		      const unsigned long *mask, unsigned int nbits) | 
 | { | 
 | 	unsigned int k; | 
 | 	unsigned int nr = BITS_TO_LONGS(nbits); | 
 |  | 
 | 	for (k = 0; k < nr; k++) | 
 | 		dst[k] = (old[k] & ~mask[k]) | (new[k] & mask[k]); | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_replace); | 
 |  | 
 | bool __bitmap_intersects(const unsigned long *bitmap1, | 
 | 			 const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	unsigned int k, lim = bits/BITS_PER_LONG; | 
 | 	for (k = 0; k < lim; ++k) | 
 | 		if (bitmap1[k] & bitmap2[k]) | 
 | 			return true; | 
 |  | 
 | 	if (bits % BITS_PER_LONG) | 
 | 		if ((bitmap1[k] & bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits)) | 
 | 			return true; | 
 | 	return false; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_intersects); | 
 |  | 
 | bool __bitmap_subset(const unsigned long *bitmap1, | 
 | 		     const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	unsigned int k, lim = bits/BITS_PER_LONG; | 
 | 	for (k = 0; k < lim; ++k) | 
 | 		if (bitmap1[k] & ~bitmap2[k]) | 
 | 			return false; | 
 |  | 
 | 	if (bits % BITS_PER_LONG) | 
 | 		if ((bitmap1[k] & ~bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits)) | 
 | 			return false; | 
 | 	return true; | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_subset); | 
 |  | 
 | #define BITMAP_WEIGHT(FETCH, bits)	\ | 
 | ({										\ | 
 | 	unsigned int __bits = (bits), idx, w = 0;				\ | 
 | 										\ | 
 | 	for (idx = 0; idx < __bits / BITS_PER_LONG; idx++)			\ | 
 | 		w += hweight_long(FETCH);					\ | 
 | 										\ | 
 | 	if (__bits % BITS_PER_LONG)						\ | 
 | 		w += hweight_long((FETCH) & BITMAP_LAST_WORD_MASK(__bits));	\ | 
 | 										\ | 
 | 	w;									\ | 
 | }) | 
 |  | 
 | unsigned int __bitmap_weight(const unsigned long *bitmap, unsigned int bits) | 
 | { | 
 | 	return BITMAP_WEIGHT(bitmap[idx], bits); | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_weight); | 
 |  | 
 | unsigned int __bitmap_weight_and(const unsigned long *bitmap1, | 
 | 				const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	return BITMAP_WEIGHT(bitmap1[idx] & bitmap2[idx], bits); | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_weight_and); | 
 |  | 
 | unsigned int __bitmap_weight_andnot(const unsigned long *bitmap1, | 
 | 				const unsigned long *bitmap2, unsigned int bits) | 
 | { | 
 | 	return BITMAP_WEIGHT(bitmap1[idx] & ~bitmap2[idx], bits); | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_weight_andnot); | 
 |  | 
 | void __bitmap_set(unsigned long *map, unsigned int start, int len) | 
 | { | 
 | 	unsigned long *p = map + BIT_WORD(start); | 
 | 	const unsigned int size = start + len; | 
 | 	int bits_to_set = BITS_PER_LONG - (start % BITS_PER_LONG); | 
 | 	unsigned long mask_to_set = BITMAP_FIRST_WORD_MASK(start); | 
 |  | 
 | 	while (len - bits_to_set >= 0) { | 
 | 		*p |= mask_to_set; | 
 | 		len -= bits_to_set; | 
 | 		bits_to_set = BITS_PER_LONG; | 
 | 		mask_to_set = ~0UL; | 
 | 		p++; | 
 | 	} | 
 | 	if (len) { | 
 | 		mask_to_set &= BITMAP_LAST_WORD_MASK(size); | 
 | 		*p |= mask_to_set; | 
 | 	} | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_set); | 
 |  | 
 | void __bitmap_clear(unsigned long *map, unsigned int start, int len) | 
 | { | 
 | 	unsigned long *p = map + BIT_WORD(start); | 
 | 	const unsigned int size = start + len; | 
 | 	int bits_to_clear = BITS_PER_LONG - (start % BITS_PER_LONG); | 
 | 	unsigned long mask_to_clear = BITMAP_FIRST_WORD_MASK(start); | 
 |  | 
 | 	while (len - bits_to_clear >= 0) { | 
 | 		*p &= ~mask_to_clear; | 
 | 		len -= bits_to_clear; | 
 | 		bits_to_clear = BITS_PER_LONG; | 
 | 		mask_to_clear = ~0UL; | 
 | 		p++; | 
 | 	} | 
 | 	if (len) { | 
 | 		mask_to_clear &= BITMAP_LAST_WORD_MASK(size); | 
 | 		*p &= ~mask_to_clear; | 
 | 	} | 
 | } | 
 | EXPORT_SYMBOL(__bitmap_clear); | 
 |  | 
 | /** | 
 |  * bitmap_find_next_zero_area_off - find a contiguous aligned zero area | 
 |  * @map: The address to base the search on | 
 |  * @size: The bitmap size in bits | 
 |  * @start: The bitnumber to start searching at | 
 |  * @nr: The number of zeroed bits we're looking for | 
 |  * @align_mask: Alignment mask for zero area | 
 |  * @align_offset: Alignment offset for zero area. | 
 |  * | 
 |  * The @align_mask should be one less than a power of 2; the effect is that | 
 |  * the bit offset of all zero areas this function finds plus @align_offset | 
 |  * is multiple of that power of 2. | 
 |  */ | 
 | unsigned long bitmap_find_next_zero_area_off(unsigned long *map, | 
 | 					     unsigned long size, | 
 | 					     unsigned long start, | 
 | 					     unsigned int nr, | 
 | 					     unsigned long align_mask, | 
 | 					     unsigned long align_offset) | 
 | { | 
 | 	unsigned long index, end, i; | 
 | again: | 
 | 	index = find_next_zero_bit(map, size, start); | 
 |  | 
 | 	/* Align allocation */ | 
 | 	index = __ALIGN_MASK(index + align_offset, align_mask) - align_offset; | 
 |  | 
 | 	end = index + nr; | 
 | 	if (end > size) | 
 | 		return end; | 
 | 	i = find_next_bit(map, end, index); | 
 | 	if (i < end) { | 
 | 		start = i + 1; | 
 | 		goto again; | 
 | 	} | 
 | 	return index; | 
 | } | 
 | EXPORT_SYMBOL(bitmap_find_next_zero_area_off); | 
 |  | 
 | /** | 
 |  * bitmap_pos_to_ord - find ordinal of set bit at given position in bitmap | 
 |  *	@buf: pointer to a bitmap | 
 |  *	@pos: a bit position in @buf (0 <= @pos < @nbits) | 
 |  *	@nbits: number of valid bit positions in @buf | 
 |  * | 
 |  * Map the bit at position @pos in @buf (of length @nbits) to the | 
 |  * ordinal of which set bit it is.  If it is not set or if @pos | 
 |  * is not a valid bit position, map to -1. | 
 |  * | 
 |  * If for example, just bits 4 through 7 are set in @buf, then @pos | 
 |  * values 4 through 7 will get mapped to 0 through 3, respectively, | 
 |  * and other @pos values will get mapped to -1.  When @pos value 7 | 
 |  * gets mapped to (returns) @ord value 3 in this example, that means | 
 |  * that bit 7 is the 3rd (starting with 0th) set bit in @buf. | 
 |  * | 
 |  * The bit positions 0 through @bits are valid positions in @buf. | 
 |  */ | 
 | static int bitmap_pos_to_ord(const unsigned long *buf, unsigned int pos, unsigned int nbits) | 
 | { | 
 | 	if (pos >= nbits || !test_bit(pos, buf)) | 
 | 		return -1; | 
 |  | 
 | 	return bitmap_weight(buf, pos); | 
 | } | 
 |  | 
 | /** | 
 |  * bitmap_remap - Apply map defined by a pair of bitmaps to another bitmap | 
 |  *	@dst: remapped result | 
 |  *	@src: subset to be remapped | 
 |  *	@old: defines domain of map | 
 |  *	@new: defines range of map | 
 |  *	@nbits: number of bits in each of these bitmaps | 
 |  * | 
 |  * Let @old and @new define a mapping of bit positions, such that | 
 |  * whatever position is held by the n-th set bit in @old is mapped | 
 |  * to the n-th set bit in @new.  In the more general case, allowing | 
 |  * for the possibility that the weight 'w' of @new is less than the | 
 |  * weight of @old, map the position of the n-th set bit in @old to | 
 |  * the position of the m-th set bit in @new, where m == n % w. | 
 |  * | 
 |  * If either of the @old and @new bitmaps are empty, or if @src and | 
 |  * @dst point to the same location, then this routine copies @src | 
 |  * to @dst. | 
 |  * | 
 |  * The positions of unset bits in @old are mapped to themselves | 
 |  * (the identity map). | 
 |  * | 
 |  * Apply the above specified mapping to @src, placing the result in | 
 |  * @dst, clearing any bits previously set in @dst. | 
 |  * | 
 |  * For example, lets say that @old has bits 4 through 7 set, and | 
 |  * @new has bits 12 through 15 set.  This defines the mapping of bit | 
 |  * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other | 
 |  * bit positions unchanged.  So if say @src comes into this routine | 
 |  * with bits 1, 5 and 7 set, then @dst should leave with bits 1, | 
 |  * 13 and 15 set. | 
 |  */ | 
 | void bitmap_remap(unsigned long *dst, const unsigned long *src, | 
 | 		const unsigned long *old, const unsigned long *new, | 
 | 		unsigned int nbits) | 
 | { | 
 | 	unsigned int oldbit, w; | 
 |  | 
 | 	if (dst == src)		/* following doesn't handle inplace remaps */ | 
 | 		return; | 
 | 	bitmap_zero(dst, nbits); | 
 |  | 
 | 	w = bitmap_weight(new, nbits); | 
 | 	for_each_set_bit(oldbit, src, nbits) { | 
 | 		int n = bitmap_pos_to_ord(old, oldbit, nbits); | 
 |  | 
 | 		if (n < 0 || w == 0) | 
 | 			set_bit(oldbit, dst);	/* identity map */ | 
 | 		else | 
 | 			set_bit(find_nth_bit(new, nbits, n % w), dst); | 
 | 	} | 
 | } | 
 | EXPORT_SYMBOL(bitmap_remap); | 
 |  | 
 | /** | 
 |  * bitmap_bitremap - Apply map defined by a pair of bitmaps to a single bit | 
 |  *	@oldbit: bit position to be mapped | 
 |  *	@old: defines domain of map | 
 |  *	@new: defines range of map | 
 |  *	@bits: number of bits in each of these bitmaps | 
 |  * | 
 |  * Let @old and @new define a mapping of bit positions, such that | 
 |  * whatever position is held by the n-th set bit in @old is mapped | 
 |  * to the n-th set bit in @new.  In the more general case, allowing | 
 |  * for the possibility that the weight 'w' of @new is less than the | 
 |  * weight of @old, map the position of the n-th set bit in @old to | 
 |  * the position of the m-th set bit in @new, where m == n % w. | 
 |  * | 
 |  * The positions of unset bits in @old are mapped to themselves | 
 |  * (the identity map). | 
 |  * | 
 |  * Apply the above specified mapping to bit position @oldbit, returning | 
 |  * the new bit position. | 
 |  * | 
 |  * For example, lets say that @old has bits 4 through 7 set, and | 
 |  * @new has bits 12 through 15 set.  This defines the mapping of bit | 
 |  * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other | 
 |  * bit positions unchanged.  So if say @oldbit is 5, then this routine | 
 |  * returns 13. | 
 |  */ | 
 | int bitmap_bitremap(int oldbit, const unsigned long *old, | 
 | 				const unsigned long *new, int bits) | 
 | { | 
 | 	int w = bitmap_weight(new, bits); | 
 | 	int n = bitmap_pos_to_ord(old, oldbit, bits); | 
 | 	if (n < 0 || w == 0) | 
 | 		return oldbit; | 
 | 	else | 
 | 		return find_nth_bit(new, bits, n % w); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_bitremap); | 
 |  | 
 | #ifdef CONFIG_NUMA | 
 | /** | 
 |  * bitmap_onto - translate one bitmap relative to another | 
 |  *	@dst: resulting translated bitmap | 
 |  * 	@orig: original untranslated bitmap | 
 |  * 	@relmap: bitmap relative to which translated | 
 |  *	@bits: number of bits in each of these bitmaps | 
 |  * | 
 |  * Set the n-th bit of @dst iff there exists some m such that the | 
 |  * n-th bit of @relmap is set, the m-th bit of @orig is set, and | 
 |  * the n-th bit of @relmap is also the m-th _set_ bit of @relmap. | 
 |  * (If you understood the previous sentence the first time your | 
 |  * read it, you're overqualified for your current job.) | 
 |  * | 
 |  * In other words, @orig is mapped onto (surjectively) @dst, | 
 |  * using the map { <n, m> | the n-th bit of @relmap is the | 
 |  * m-th set bit of @relmap }. | 
 |  * | 
 |  * Any set bits in @orig above bit number W, where W is the | 
 |  * weight of (number of set bits in) @relmap are mapped nowhere. | 
 |  * In particular, if for all bits m set in @orig, m >= W, then | 
 |  * @dst will end up empty.  In situations where the possibility | 
 |  * of such an empty result is not desired, one way to avoid it is | 
 |  * to use the bitmap_fold() operator, below, to first fold the | 
 |  * @orig bitmap over itself so that all its set bits x are in the | 
 |  * range 0 <= x < W.  The bitmap_fold() operator does this by | 
 |  * setting the bit (m % W) in @dst, for each bit (m) set in @orig. | 
 |  * | 
 |  * Example [1] for bitmap_onto(): | 
 |  *  Let's say @relmap has bits 30-39 set, and @orig has bits | 
 |  *  1, 3, 5, 7, 9 and 11 set.  Then on return from this routine, | 
 |  *  @dst will have bits 31, 33, 35, 37 and 39 set. | 
 |  * | 
 |  *  When bit 0 is set in @orig, it means turn on the bit in | 
 |  *  @dst corresponding to whatever is the first bit (if any) | 
 |  *  that is turned on in @relmap.  Since bit 0 was off in the | 
 |  *  above example, we leave off that bit (bit 30) in @dst. | 
 |  * | 
 |  *  When bit 1 is set in @orig (as in the above example), it | 
 |  *  means turn on the bit in @dst corresponding to whatever | 
 |  *  is the second bit that is turned on in @relmap.  The second | 
 |  *  bit in @relmap that was turned on in the above example was | 
 |  *  bit 31, so we turned on bit 31 in @dst. | 
 |  * | 
 |  *  Similarly, we turned on bits 33, 35, 37 and 39 in @dst, | 
 |  *  because they were the 4th, 6th, 8th and 10th set bits | 
 |  *  set in @relmap, and the 4th, 6th, 8th and 10th bits of | 
 |  *  @orig (i.e. bits 3, 5, 7 and 9) were also set. | 
 |  * | 
 |  *  When bit 11 is set in @orig, it means turn on the bit in | 
 |  *  @dst corresponding to whatever is the twelfth bit that is | 
 |  *  turned on in @relmap.  In the above example, there were | 
 |  *  only ten bits turned on in @relmap (30..39), so that bit | 
 |  *  11 was set in @orig had no affect on @dst. | 
 |  * | 
 |  * Example [2] for bitmap_fold() + bitmap_onto(): | 
 |  *  Let's say @relmap has these ten bits set:: | 
 |  * | 
 |  *		40 41 42 43 45 48 53 61 74 95 | 
 |  * | 
 |  *  (for the curious, that's 40 plus the first ten terms of the | 
 |  *  Fibonacci sequence.) | 
 |  * | 
 |  *  Further lets say we use the following code, invoking | 
 |  *  bitmap_fold() then bitmap_onto, as suggested above to | 
 |  *  avoid the possibility of an empty @dst result:: | 
 |  * | 
 |  *	unsigned long *tmp;	// a temporary bitmap's bits | 
 |  * | 
 |  *	bitmap_fold(tmp, orig, bitmap_weight(relmap, bits), bits); | 
 |  *	bitmap_onto(dst, tmp, relmap, bits); | 
 |  * | 
 |  *  Then this table shows what various values of @dst would be, for | 
 |  *  various @orig's.  I list the zero-based positions of each set bit. | 
 |  *  The tmp column shows the intermediate result, as computed by | 
 |  *  using bitmap_fold() to fold the @orig bitmap modulo ten | 
 |  *  (the weight of @relmap): | 
 |  * | 
 |  *      =============== ============== ================= | 
 |  *      @orig           tmp            @dst | 
 |  *      0                0             40 | 
 |  *      1                1             41 | 
 |  *      9                9             95 | 
 |  *      10               0             40 [#f1]_ | 
 |  *      1 3 5 7          1 3 5 7       41 43 48 61 | 
 |  *      0 1 2 3 4        0 1 2 3 4     40 41 42 43 45 | 
 |  *      0 9 18 27        0 9 8 7       40 61 74 95 | 
 |  *      0 10 20 30       0             40 | 
 |  *      0 11 22 33       0 1 2 3       40 41 42 43 | 
 |  *      0 12 24 36       0 2 4 6       40 42 45 53 | 
 |  *      78 102 211       1 2 8         41 42 74 [#f1]_ | 
 |  *      =============== ============== ================= | 
 |  * | 
 |  * .. [#f1] | 
 |  * | 
 |  *     For these marked lines, if we hadn't first done bitmap_fold() | 
 |  *     into tmp, then the @dst result would have been empty. | 
 |  * | 
 |  * If either of @orig or @relmap is empty (no set bits), then @dst | 
 |  * will be returned empty. | 
 |  * | 
 |  * If (as explained above) the only set bits in @orig are in positions | 
 |  * m where m >= W, (where W is the weight of @relmap) then @dst will | 
 |  * once again be returned empty. | 
 |  * | 
 |  * All bits in @dst not set by the above rule are cleared. | 
 |  */ | 
 | void bitmap_onto(unsigned long *dst, const unsigned long *orig, | 
 | 			const unsigned long *relmap, unsigned int bits) | 
 | { | 
 | 	unsigned int n, m;	/* same meaning as in above comment */ | 
 |  | 
 | 	if (dst == orig)	/* following doesn't handle inplace mappings */ | 
 | 		return; | 
 | 	bitmap_zero(dst, bits); | 
 |  | 
 | 	/* | 
 | 	 * The following code is a more efficient, but less | 
 | 	 * obvious, equivalent to the loop: | 
 | 	 *	for (m = 0; m < bitmap_weight(relmap, bits); m++) { | 
 | 	 *		n = find_nth_bit(orig, bits, m); | 
 | 	 *		if (test_bit(m, orig)) | 
 | 	 *			set_bit(n, dst); | 
 | 	 *	} | 
 | 	 */ | 
 |  | 
 | 	m = 0; | 
 | 	for_each_set_bit(n, relmap, bits) { | 
 | 		/* m == bitmap_pos_to_ord(relmap, n, bits) */ | 
 | 		if (test_bit(m, orig)) | 
 | 			set_bit(n, dst); | 
 | 		m++; | 
 | 	} | 
 | } | 
 |  | 
 | /** | 
 |  * bitmap_fold - fold larger bitmap into smaller, modulo specified size | 
 |  *	@dst: resulting smaller bitmap | 
 |  *	@orig: original larger bitmap | 
 |  *	@sz: specified size | 
 |  *	@nbits: number of bits in each of these bitmaps | 
 |  * | 
 |  * For each bit oldbit in @orig, set bit oldbit mod @sz in @dst. | 
 |  * Clear all other bits in @dst.  See further the comment and | 
 |  * Example [2] for bitmap_onto() for why and how to use this. | 
 |  */ | 
 | void bitmap_fold(unsigned long *dst, const unsigned long *orig, | 
 | 			unsigned int sz, unsigned int nbits) | 
 | { | 
 | 	unsigned int oldbit; | 
 |  | 
 | 	if (dst == orig)	/* following doesn't handle inplace mappings */ | 
 | 		return; | 
 | 	bitmap_zero(dst, nbits); | 
 |  | 
 | 	for_each_set_bit(oldbit, orig, nbits) | 
 | 		set_bit(oldbit % sz, dst); | 
 | } | 
 | #endif /* CONFIG_NUMA */ | 
 |  | 
 | unsigned long *bitmap_alloc(unsigned int nbits, gfp_t flags) | 
 | { | 
 | 	return kmalloc_array(BITS_TO_LONGS(nbits), sizeof(unsigned long), | 
 | 			     flags); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_alloc); | 
 |  | 
 | unsigned long *bitmap_zalloc(unsigned int nbits, gfp_t flags) | 
 | { | 
 | 	return bitmap_alloc(nbits, flags | __GFP_ZERO); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_zalloc); | 
 |  | 
 | unsigned long *bitmap_alloc_node(unsigned int nbits, gfp_t flags, int node) | 
 | { | 
 | 	return kmalloc_array_node(BITS_TO_LONGS(nbits), sizeof(unsigned long), | 
 | 				  flags, node); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_alloc_node); | 
 |  | 
 | unsigned long *bitmap_zalloc_node(unsigned int nbits, gfp_t flags, int node) | 
 | { | 
 | 	return bitmap_alloc_node(nbits, flags | __GFP_ZERO, node); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_zalloc_node); | 
 |  | 
 | void bitmap_free(const unsigned long *bitmap) | 
 | { | 
 | 	kfree(bitmap); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_free); | 
 |  | 
 | static void devm_bitmap_free(void *data) | 
 | { | 
 | 	unsigned long *bitmap = data; | 
 |  | 
 | 	bitmap_free(bitmap); | 
 | } | 
 |  | 
 | unsigned long *devm_bitmap_alloc(struct device *dev, | 
 | 				 unsigned int nbits, gfp_t flags) | 
 | { | 
 | 	unsigned long *bitmap; | 
 | 	int ret; | 
 |  | 
 | 	bitmap = bitmap_alloc(nbits, flags); | 
 | 	if (!bitmap) | 
 | 		return NULL; | 
 |  | 
 | 	ret = devm_add_action_or_reset(dev, devm_bitmap_free, bitmap); | 
 | 	if (ret) | 
 | 		return NULL; | 
 |  | 
 | 	return bitmap; | 
 | } | 
 | EXPORT_SYMBOL_GPL(devm_bitmap_alloc); | 
 |  | 
 | unsigned long *devm_bitmap_zalloc(struct device *dev, | 
 | 				  unsigned int nbits, gfp_t flags) | 
 | { | 
 | 	return devm_bitmap_alloc(dev, nbits, flags | __GFP_ZERO); | 
 | } | 
 | EXPORT_SYMBOL_GPL(devm_bitmap_zalloc); | 
 |  | 
 | #if BITS_PER_LONG == 64 | 
 | /** | 
 |  * bitmap_from_arr32 - copy the contents of u32 array of bits to bitmap | 
 |  *	@bitmap: array of unsigned longs, the destination bitmap | 
 |  *	@buf: array of u32 (in host byte order), the source bitmap | 
 |  *	@nbits: number of bits in @bitmap | 
 |  */ | 
 | void bitmap_from_arr32(unsigned long *bitmap, const u32 *buf, unsigned int nbits) | 
 | { | 
 | 	unsigned int i, halfwords; | 
 |  | 
 | 	halfwords = DIV_ROUND_UP(nbits, 32); | 
 | 	for (i = 0; i < halfwords; i++) { | 
 | 		bitmap[i/2] = (unsigned long) buf[i]; | 
 | 		if (++i < halfwords) | 
 | 			bitmap[i/2] |= ((unsigned long) buf[i]) << 32; | 
 | 	} | 
 |  | 
 | 	/* Clear tail bits in last word beyond nbits. */ | 
 | 	if (nbits % BITS_PER_LONG) | 
 | 		bitmap[(halfwords - 1) / 2] &= BITMAP_LAST_WORD_MASK(nbits); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_from_arr32); | 
 |  | 
 | /** | 
 |  * bitmap_to_arr32 - copy the contents of bitmap to a u32 array of bits | 
 |  *	@buf: array of u32 (in host byte order), the dest bitmap | 
 |  *	@bitmap: array of unsigned longs, the source bitmap | 
 |  *	@nbits: number of bits in @bitmap | 
 |  */ | 
 | void bitmap_to_arr32(u32 *buf, const unsigned long *bitmap, unsigned int nbits) | 
 | { | 
 | 	unsigned int i, halfwords; | 
 |  | 
 | 	halfwords = DIV_ROUND_UP(nbits, 32); | 
 | 	for (i = 0; i < halfwords; i++) { | 
 | 		buf[i] = (u32) (bitmap[i/2] & UINT_MAX); | 
 | 		if (++i < halfwords) | 
 | 			buf[i] = (u32) (bitmap[i/2] >> 32); | 
 | 	} | 
 |  | 
 | 	/* Clear tail bits in last element of array beyond nbits. */ | 
 | 	if (nbits % BITS_PER_LONG) | 
 | 		buf[halfwords - 1] &= (u32) (UINT_MAX >> ((-nbits) & 31)); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_to_arr32); | 
 | #endif | 
 |  | 
 | #if BITS_PER_LONG == 32 | 
 | /** | 
 |  * bitmap_from_arr64 - copy the contents of u64 array of bits to bitmap | 
 |  *	@bitmap: array of unsigned longs, the destination bitmap | 
 |  *	@buf: array of u64 (in host byte order), the source bitmap | 
 |  *	@nbits: number of bits in @bitmap | 
 |  */ | 
 | void bitmap_from_arr64(unsigned long *bitmap, const u64 *buf, unsigned int nbits) | 
 | { | 
 | 	int n; | 
 |  | 
 | 	for (n = nbits; n > 0; n -= 64) { | 
 | 		u64 val = *buf++; | 
 |  | 
 | 		*bitmap++ = val; | 
 | 		if (n > 32) | 
 | 			*bitmap++ = val >> 32; | 
 | 	} | 
 |  | 
 | 	/* | 
 | 	 * Clear tail bits in the last word beyond nbits. | 
 | 	 * | 
 | 	 * Negative index is OK because here we point to the word next | 
 | 	 * to the last word of the bitmap, except for nbits == 0, which | 
 | 	 * is tested implicitly. | 
 | 	 */ | 
 | 	if (nbits % BITS_PER_LONG) | 
 | 		bitmap[-1] &= BITMAP_LAST_WORD_MASK(nbits); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_from_arr64); | 
 |  | 
 | /** | 
 |  * bitmap_to_arr64 - copy the contents of bitmap to a u64 array of bits | 
 |  *	@buf: array of u64 (in host byte order), the dest bitmap | 
 |  *	@bitmap: array of unsigned longs, the source bitmap | 
 |  *	@nbits: number of bits in @bitmap | 
 |  */ | 
 | void bitmap_to_arr64(u64 *buf, const unsigned long *bitmap, unsigned int nbits) | 
 | { | 
 | 	const unsigned long *end = bitmap + BITS_TO_LONGS(nbits); | 
 |  | 
 | 	while (bitmap < end) { | 
 | 		*buf = *bitmap++; | 
 | 		if (bitmap < end) | 
 | 			*buf |= (u64)(*bitmap++) << 32; | 
 | 		buf++; | 
 | 	} | 
 |  | 
 | 	/* Clear tail bits in the last element of array beyond nbits. */ | 
 | 	if (nbits % 64) | 
 | 		buf[-1] &= GENMASK_ULL((nbits - 1) % 64, 0); | 
 | } | 
 | EXPORT_SYMBOL(bitmap_to_arr64); | 
 | #endif |