ref: ca17b8e78d4ff54ecfca3985c7acc16a09f543dc
dir: /bitvector-ops.c/
#include "llt.h"
#define ONES32 ((uint32_t)0xffffffffUL)
// greater than this # of words we use malloc instead of alloca
#define MALLOC_CUTOFF 2000
static inline
uint32_t count_bits(uint32_t b)
{
b = b - ((b>>1)&0x55555555);
b = ((b>>2)&0x33333333) + (b&0x33333333);
b = ((b>>4)+b)&0x0f0f0f0f;
b += (b>>8);
b += (b>>16);
return b & 0x3f;
}
uint32_t
bitreverse(uint32_t x)
{
uint32_t m;
#ifdef __INTEL_COMPILER
x = _bswap(x);
#else
x = (x >> 16) | (x << 16); m = 0xff00ff00;
x = ((x & m) >> 8) | ((x & ~m) << 8);
#endif
m = 0xf0f0f0f0;
x = ((x & m) >> 4) | ((x & ~m) << 4); m = 0xcccccccc;
x = ((x & m) >> 2) | ((x & ~m) << 2); m = 0xaaaaaaaa;
x = ((x & m) >> 1) | ((x & ~m) << 1);
return x;
}
// shift all bits in a long bit vector
// n is # of int32s to consider, s is shift distance
// lowest bit-index is bit 0 of word 0
// TODO: handle boundary case of shift distance >= data size?
void
bitvector_shr(uint32_t *b, size_t n, uint32_t s)
{
uint32_t i;
if(s == 0 || n == 0)
return;
i = s >> 5;
if(i){
n -= i;
memmove(b, &b[i], n*4);
memset(&b[n], 0, i*4);
s &= 31;
}
for(i = 0; i < n-1; i++)
b[i] = (b[i] >> s) | (b[i+1] << (32-s));
b[i] >>= s;
}
// out-of-place version, good for re-aligning a strided submatrix to
// linear representation when a copy is needed
// assumes that dest has the same amount of space as source, even if it
// wouldn't have been necessary to hold the shifted bits
void
bitvector_shr_to(uint32_t *dest, uint32_t *b, size_t n, uint32_t s)
{
uint32_t i, j;
if(n == 0)
return;
if(s == 0){
memmove(dest, b, n*4);
return;
}
j = s >> 5;
if(j){
n -= j;
memset(&dest[n], 0, j*4);
s &= 31;
b = &b[j];
}
for(i = 0; i < n-1; i++)
dest[i] = (b[i] >> s) | (b[i+1] << (32-s));
dest[i] = b[i]>>s;
}
void
bitvector_shl(uint32_t *b, size_t n, uint32_t s)
{
uint32_t i, scrap = 0, temp;
if(s == 0 || n == 0)
return;
i = s >> 5;
if(i){
n -= i;
memmove(&b[i], b, n*4);
memset(b, 0, i*4);
s &= 31;
b = &b[i];
}
for(i = 0; i < n; i++){
temp = (b[i] << s) | scrap;
scrap = b[i] >> (32-s);
b[i] = temp;
}
}
// if dest has more space than source, set scrap to true to keep the
// top bits that would otherwise be shifted out
void
bitvector_shl_to(uint32_t *dest, uint32_t *b, size_t n, uint32_t s, int scrap)
{
uint32_t i, j, sc = 0;
if(n == 0)
return;
if(s == 0){
memmove(dest, b, n*4);
return;
}
j = s >> 5;
if(j){
n -= j;
memset(dest, 0, j*4);
s &= 31;
dest = &dest[j];
}
for(i = 0; i < n; i++){
dest[i] = (b[i] << s) | sc;
sc = b[i] >> (32-s);
}
if(scrap)
dest[i] = sc;
}
// set nbits to c, starting at given bit offset
// assumes offs < 32
void
bitvector_fill(uint32_t *b, uint32_t offs, uint32_t c, uint32_t nbits)
{
uint32_t i, nw, tail, mask;
if(nbits == 0)
return;
nw = (offs+nbits+31)>>5;
if(nw == 1){
mask = (lomask(nbits)<<offs);
if(c)
b[0] |= mask;
else
b[0] &= ~mask;
return;
}
mask = lomask(offs);
if(c)
b[0] |= ~mask;
else
b[0] &= mask;
mask = c ? ONES32 : 0;
for(i = 1; i < nw-1; i++)
b[i] = mask;
tail = (offs+nbits) & 31;
if(tail == 0)
b[i] = mask;
else{
mask = lomask(tail);
if(c)
b[i] |= mask;
else
b[i] &= ~mask;
}
}
void
bitvector_not(uint32_t *b, uint32_t offs, uint32_t nbits)
{
uint32_t i, nw, tail, mask;
if(nbits == 0)
return;
nw = (offs+nbits+31)>>5;
if(nw == 1){
mask = lomask(nbits)<<offs;
b[0] ^= mask;
return;
}
mask = ~lomask(offs);
b[0] ^= mask;
for(i = 1; i < nw-1; i++)
b[i] = ~b[i];
tail = (offs+nbits)&31;
if(tail == 0)
b[i] = ~b[i];
else{
mask = lomask(tail);
b[i] ^= mask;
}
}
// constant-space bit vector copy in a single pass, with arbitrary
// offsets and lengths. to get this right, there are 16 cases to handle!
#define BITVECTOR_COPY_OP(name, OP) \
void \
bitvector_##name(uint32_t *dest, uint32_t doffs, uint32_t *src, uint32_t soffs, uint32_t nbits) \
{ \
uint32_t i, s, nw, tail, snw, mask, scrap; \
if(nbits == 0) \
return; \
nw = (doffs+nbits+31)>>5; \
if(soffs == doffs){ \
if(nw == 1){ \
mask = (lomask(nbits)<<doffs); \
dest[0] = (dest[0] & ~mask) | (OP(src[0]) & mask); \
return; \
} \
mask = ~lomask(doffs); \
dest[0] = (dest[0] & ~mask) | (OP(src[0]) & mask); \
for(i = 1; i < nw-1; i++) \
dest[i] = OP(src[i]); \
tail = (doffs+nbits)&31; \
if(tail == 0) \
dest[i] = src[i]; \
else { \
mask = lomask(tail); \
dest[i] = (dest[i] & ~mask) | (OP(src[i]) & mask); \
} \
return; \
} \
snw = (soffs+nbits+31)>>5; \
if(soffs < doffs){ \
s = doffs-soffs; \
if(nw == 1){ \
mask = lomask(nbits) << doffs; \
dest[0] = (dest[0] & ~mask) | ((OP(src[0])<<s) & mask); \
return; \
} \
mask = ~lomask(doffs); \
dest[0] = (dest[0] & ~mask) | ((OP(src[0])<<s) & mask); \
scrap = OP(src[0])>>(32-s); \
for(i = 1; i < snw-1; i++){ \
dest[i] = (OP(src[i])<<s) | scrap; \
scrap = OP(src[i])>>(32-s); \
} \
tail = (doffs+nbits)&31; \
mask = tail ? lomask(tail) : ONES32; \
if(snw == nw) \
dest[i] = (dest[i] & ~mask) | (((OP(src[i])<<s)|scrap) & mask); \
else{ /* snw < nw */ \
if(snw == 1) \
dest[i] = (dest[i] & ~mask) | (((OP(src[i])<<s) | scrap) & mask); \
else{ \
dest[i] = (OP(src[i])<<s) | scrap; \
scrap = OP(src[i])>>(32-s); \
i++; \
dest[i] = (dest[i] & ~mask) | (scrap & mask); \
} \
} \
}else{ \
s = soffs-doffs; \
if(snw == 1){ \
mask = (lomask(nbits)<<doffs); \
dest[0] = (dest[0] & ~mask) | ((OP(src[0])>>s) & mask); \
return; \
} \
if(nw == 1){ \
mask = (lomask(nbits)<<doffs); \
dest[0] = (dest[0] & ~mask) | \
(((OP(src[0])>>s)|(OP(src[1])<<(32-s))) & mask); \
return; \
} \
mask = ~lomask(doffs); \
dest[0] = (dest[0] & ~mask) | (((OP(src[0])>>s)|(OP(src[1])<<(32-s))) & mask); \
for(i = 1; i < nw-1; i++) \
dest[i] = (OP(src[i])>>s) | (OP(src[i+1])<<(32-s)); \
tail = (doffs+nbits)&31; \
mask = tail ? lomask(tail) : ONES32; \
if(snw == nw){ \
dest[i] = (dest[i] & ~mask) | ((OP(src[i])>>s) & mask); \
} \
else /* snw > nw */ { \
dest[i] = (dest[i] & ~mask) | \
(((OP(src[i])>>s)|(OP(src[i+1])<<(32-s))) & mask); \
} \
} \
}
#define BV_COPY(a) (a)
#define BV_NOT(a) (~(a))
BITVECTOR_COPY_OP(copy, BV_COPY)
BITVECTOR_COPY_OP(not_to, BV_NOT)
// copy from source to dest while reversing bit-order
// assumes dest offset == 0
// assumes source and dest don't overlap
// assumes offset < 32
void
bitvector_reverse_to(uint32_t *dest, uint32_t *src, uint32_t soffs, uint32_t nbits)
{
uint32_t i, nw, tail;
if(nbits == 0)
return;
nw = (soffs+nbits+31)>>5;
// first, reverse the words while reversing bit order within each word
for(i = 0; i < nw/2; i++){
dest[i] = bitreverse(src[nw-i-1]);
dest[nw-i-1] = bitreverse(src[i]);
}
if(nw&0x1)
dest[i] = bitreverse(src[i]);
tail = (soffs+nbits)&31;
if(tail)
bitvector_shr(dest, nw, 32-tail);
}
void
bitvector_reverse(uint32_t *b, uint32_t offs, uint32_t nbits)
{
uint32_t i, nw, tail, *temp, a[MALLOC_CUTOFF];
if(nbits == 0)
return;
nw = (offs+nbits+31)>>5;
temp = (nw > MALLOC_CUTOFF) ? malloc(nw*4) : a;
for(i = 0; i < nw/2; i++){
temp[i] = bitreverse(b[nw-i-1]);
temp[nw-i-1] = bitreverse(b[i]);
}
if(nw & 1)
temp[i] = bitreverse(b[i]);
tail = (offs+nbits)&31;
bitvector_copy(b, offs, temp, (32-tail)&31, nbits);
if(nw > MALLOC_CUTOFF)
free(temp);
}
uint64_t
bitvector_count(uint32_t *b, uint32_t offs, uint64_t nbits)
{
size_t i, nw;
uint32_t ntail;
uint64_t ans;
if(nbits == 0)
return 0;
nw = ((uint64_t)offs+nbits+31)>>5;
if(nw == 1)
return count_bits(b[0] & (lomask(nbits)<<offs));
ans = count_bits(b[0]>>offs); // first end cap
for(i = 1; i < nw-1; i++)
ans += count_bits(b[i]);
ntail = (offs + (uint32_t)nbits) & 31;
ans += count_bits(b[i] & (ntail > 0 ? lomask(ntail) : ONES32)); // last end cap
return ans;
}
uint32_t
bitvector_any0(uint32_t *b, uint32_t offs, uint32_t nbits)
{
uint32_t i, nw, tail, mask;
if(nbits == 0)
return 0;
nw = (offs+nbits+31)>>5;
if(nw == 1){
mask = (lomask(nbits)<<offs);
if((b[0] & mask) != mask)
return 1;
return 0;
}
mask = ~lomask(offs);
if((b[0] & mask) != mask)
return 1;
for(i = 1; i < nw-1; i++)
if(b[i] != ONES32)
return 1;
tail = (offs+nbits)&31;
if(tail == 0)
return b[i] != ONES32;
mask = lomask(tail);
return (b[i] & mask) != mask;
}
uint32_t
bitvector_any1(uint32_t *b, uint32_t offs, uint32_t nbits)
{
uint32_t i, nw, tail, mask;
if(nbits == 0)
return 0;
nw = (offs+nbits+31)>>5;
if(nw == 1){
mask = lomask(nbits)<<offs;
return (b[0] & mask) != 0;
}
mask = ~lomask(offs);
if((b[0] & mask) != 0)
return 1;
for(i = 1; i < nw-1; i++){
if(b[i] != 0)
return 1;
}
tail = (offs+nbits)&31;
if(tail == 0)
return b[i] != 0;
return (b[i] & lomask(tail)) != 0;
}
static void
adjust_offset_to(uint32_t *dest, uint32_t *src, uint32_t nw, uint32_t soffs, uint32_t newoffs)
{
if(newoffs > soffs)
bitvector_shl_to(dest, src, nw, newoffs-soffs, 1);
else
bitvector_shr_to(dest, src, nw, soffs-newoffs);
}
#define BITVECTOR_BINARY_OP_TO(opname, OP) \
void \
bitvector_##opname##_to(uint32_t *dest, uint32_t doffs, uint32_t *a, uint32_t aoffs, uint32_t *b, uint32_t boffs, uint32_t nbits) \
{ \
uint32_t nw = (doffs+nbits+31)>>5; \
uint32_t atmp[MALLOC_CUTOFF+1]; \
uint32_t *temp = nw>MALLOC_CUTOFF ? malloc((nw+1)*4) : atmp; \
uint32_t i, anw, bnw; \
if(aoffs == boffs){ \
anw = (aoffs+nbits+31)>>5; \
}else if(aoffs == doffs){ \
bnw = (boffs+nbits+31)>>5; \
adjust_offset_to(temp, b, bnw, boffs, aoffs); \
b = temp; \
anw = nw; \
}else{ \
anw = (aoffs+nbits+31)>>5; \
bnw = (boffs+nbits+31)>>5; \
adjust_offset_to(temp, a, anw, aoffs, boffs); \
a = temp; \
aoffs = boffs; \
anw = bnw; \
} \
for(i = 0; i < anw; i++) \
temp[i] = OP(a[i], b[i]); \
bitvector_copy(dest, doffs, temp, aoffs, nbits); \
if(nw>MALLOC_CUTOFF) \
free(temp); \
}
#define BV_AND(a, b) ((a)&(b))
#define BV_OR(a, b) ((a)|(b))
#define BV_XOR(a, b) ((a)^(b))
BITVECTOR_BINARY_OP_TO(and, BV_AND)
BITVECTOR_BINARY_OP_TO(or, BV_OR)
BITVECTOR_BINARY_OP_TO(xor, BV_XOR)