ref: 783f049aa71a90b0ea02918e04b30a6b45b6a75e
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 // 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] = __builtin_bitreverse32(src[nw-i-1]); dest[nw-i-1] = __builtin_bitreverse32(src[i]); } if(nw&0x1) dest[i] = __builtin_bitreverse32(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) ? LLT_ALLOC(nw*4) : a; for(i = 0; i < nw/2; i++){ temp[i] = __builtin_bitreverse32(b[nw-i-1]); temp[nw-i-1] = __builtin_bitreverse32(b[i]); } if(nw & 1) temp[i] = __builtin_bitreverse32(b[i]); tail = (offs+nbits)&31; bitvector_copy(b, offs, temp, (32-tail)&31, nbits); if(nw > MALLOC_CUTOFF) LLT_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 __builtin_popcount(b[0] & (lomask(nbits)<<offs)); ans = __builtin_popcount(b[0]>>offs); // first end cap for(i = 1; i < nw-1; i++) ans += __builtin_popcount(b[i]); ntail = (offs + (uint32_t)nbits) & 31; ans += __builtin_popcount(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 ? LLT_ALLOC((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) \ LLT_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)