/* bit.c -- bitwise operators */ /* Copyright (c) 2009-2012 Alex Shinn. All rights reserved. */ /* BSD-style license: http://synthcode.com/license.txt */ #include #ifndef PLAN9 #include #else #define CHAR_BIT 8 #endif #if SEXP_USE_BIGNUMS #include #else #define sexp_bignum_normalize(x) x #endif static sexp sexp_twos_complement (sexp ctx, sexp x) { int i; sexp_gc_var1(res); if (sexp_bignump(x) && sexp_bignum_sign(x) < 0) { sexp_gc_preserve1(ctx, res); res = sexp_copy_bignum(ctx, NULL, x, 0); sexp_bignum_sign(res) = 1; for (i = sexp_bignum_length(res)-1; i >= 0; i--) sexp_bignum_data(res)[i] = ~sexp_bignum_data(res)[i]; res = sexp_bignum_fxadd(ctx, res, 1); sexp_gc_release1(ctx); return res; } return x; } static sexp sexp_fixnum_to_twos_complement (sexp ctx, sexp x, int len) { int i; sexp_gc_var1(res); sexp_gc_preserve1(ctx, res); res = sexp_make_bignum(ctx, len); for (i = len-1; i > 0; i--) sexp_bignum_data(res)[i] = (sexp_uint_t)((sexp_sint_t)-1); sexp_bignum_data(res)[0] = ~(-(sexp_unbox_fixnum(x))); res = sexp_bignum_fxadd(ctx, res, 1); sexp_gc_release1(ctx); return res; } sexp sexp_bit_and (sexp ctx, sexp self, sexp_sint_t n, sexp x, sexp y) { #if SEXP_USE_BIGNUMS sexp_sint_t len, i; #endif sexp_gc_var3(res, x2, y2); if (sexp_fixnump(x) && sexp_fixnump(y)) { return (sexp) ((sexp_uint_t)x & (sexp_uint_t)y); /* safe to AND tags */ #if SEXP_USE_BIGNUMS } else if (sexp_fixnump(x) && sexp_bignump(y)) { return sexp_bit_and(ctx, self, n, y, x); } else if (sexp_bignump(x)) { sexp_gc_preserve3(ctx, res, x2, y2); x2 = sexp_twos_complement(ctx, x); y2 = sexp_twos_complement(ctx, y); if (sexp_fixnump(y2) && sexp_negativep(y2)) y2 = sexp_fixnum_to_twos_complement(ctx, y2, sexp_bignum_length(x2)); if (sexp_fixnump(y2)) { res = sexp_make_fixnum(sexp_unbox_fixnum(y2) & sexp_bignum_data(x2)[0]); } else if (sexp_bignump(y2)) { if (sexp_bignum_length(x2) < sexp_bignum_length(y2)) res = sexp_copy_bignum(ctx, NULL, x2, 0); else res = sexp_copy_bignum(ctx, NULL, y2, 0); for (i=0, len=sexp_bignum_length(res); i= sexp_bignum_length(y)) { res = sexp_copy_bignum(ctx, NULL, x, 0); len = sexp_bignum_length(y); } else { res = sexp_copy_bignum(ctx, NULL, y, 0); len = sexp_bignum_length(x); } for (i=0; i= sexp_bignum_length(y)) { res = sexp_copy_bignum(ctx, NULL, x, 0); len = sexp_bignum_length(y); } else { res = sexp_copy_bignum(ctx, NULL, y, 0); len = sexp_bignum_length(x); } for (i=0; i v) break; return i; } /* should probably split into left and right shifts, that's a better */ /* interface anyway */ sexp sexp_arithmetic_shift (sexp ctx, sexp self, sexp_sint_t n, sexp i, sexp count) { sexp_uint_t tmp; sexp_sint_t c; #if SEXP_USE_BIGNUMS sexp_sint_t len, offset, bit_shift, tail_shift, j; sexp_gc_var1(res); #else sexp res; #endif if (! sexp_fixnump(count)) return sexp_type_exception(ctx, self, SEXP_FIXNUM, count); c = sexp_unbox_fixnum(count); if (c == 0) return i; if (sexp_fixnump(i)) { if (c < 0) { res = sexp_make_fixnum(c > -sizeof(sexp_sint_t)*CHAR_BIT ? sexp_unbox_fixnum(i) >> -c : 0); } else { #if SEXP_USE_BIGNUMS if ((log2i(sexp_unbox_fixnum(i)) + c + 1) < (sizeof(sexp_uint_t)*CHAR_BIT - SEXP_FIXNUM_BITS)) { #endif tmp = (sexp_uint_t)sexp_unbox_fixnum(i) << c; res = sexp_make_fixnum(tmp * sexp_fx_sign(i)); #if SEXP_USE_BIGNUMS } else { sexp_gc_preserve1(ctx, res); res = sexp_fixnum_to_bignum(ctx, i); res = sexp_arithmetic_shift(ctx, self, n, res, count); sexp_gc_release1(ctx); } #endif } #if SEXP_USE_BIGNUMS } else if (sexp_bignump(i)) { len = sexp_bignum_hi(i); if (c < 0) { c = -c; offset = c / (sizeof(sexp_uint_t)*CHAR_BIT); bit_shift = c - offset*(sizeof(sexp_uint_t)*CHAR_BIT); if (len < offset) { res = sexp_make_fixnum(sexp_bignum_sign(i) > 0 ? 0 : -1); } else { res = sexp_make_bignum(ctx, len - offset + 1); if (!sexp_exceptionp(res)) { sexp_bignum_sign(res) = sexp_bignum_sign(i); for (j=len-offset-1, tmp=0; j>=0; j--) { sexp_bignum_data(res)[j] = (sexp_bignum_data(i)[j+offset] >> bit_shift)+ tmp; if (bit_shift != 0) tmp = sexp_bignum_data(i)[j+offset] << (sizeof(sexp_uint_t)*CHAR_BIT-bit_shift); } } } } else { offset = c / (sizeof(sexp_uint_t)*CHAR_BIT); bit_shift = c - offset*(sizeof(sexp_uint_t)*CHAR_BIT); tail_shift = (sizeof(sexp_uint_t)*CHAR_BIT-bit_shift); res = sexp_make_bignum(ctx, len + offset + 1); if (!sexp_exceptionp(res)) { sexp_bignum_sign(res) = sexp_bignum_sign(i); for (j=tmp=0; j> tail_shift; } if (bit_shift != 0) sexp_bignum_data(res)[len+offset] = tmp; } } #endif } else { res = sexp_type_exception(ctx, self, SEXP_FIXNUM, i); } return sexp_bignum_normalize(res); } /* bit-count and integer-length were adapted from: */ /* http://graphics.stanford.edu/~seander/bithacks.html */ static sexp_uint_t bit_count (sexp_uint_t i) { i -= ((i >> 1) & (sexp_uint_t)~(sexp_uint_t)0/3); i = ((i & (sexp_uint_t)~(sexp_uint_t)0/15*3) + ((i >> 2) & (sexp_uint_t)~(sexp_uint_t)0/15*3)); i = (i + (i >> 4)) & (sexp_uint_t)~(sexp_uint_t)0/255*15; return ((sexp_uint_t)(i * ((sexp_uint_t)~(sexp_uint_t)0/255)) >> (sizeof(i) - 1) * CHAR_BIT); } sexp sexp_bit_count (sexp ctx, sexp self, sexp_sint_t n, sexp x) { sexp res; sexp_sint_t i; #if SEXP_USE_BIGNUMS sexp_uint_t count; #endif if (sexp_fixnump(x)) { i = sexp_unbox_fixnum(x); res = sexp_make_fixnum(bit_count(i<0 ? ~i : i)); #if SEXP_USE_BIGNUMS } else if (sexp_bignump(x)) { for (i=count=0; i<(sexp_sint_t)sexp_bignum_length(x); i++) count += bit_count(sexp_bignum_data(x)[i]); res = sexp_make_fixnum(count); #endif } else { res = sexp_type_exception(ctx, self, SEXP_FIXNUM, x); } return res; } static const char log_table_256[256] = { #define LT(n) n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, LT(5), LT(6), LT(7), LT(7), LT(7), LT(7), LT(7), LT(8), LT(8), LT(8), LT(8), LT(8), LT(8), LT(8), LT(8) }; static sexp_uint_t integer_log2 (sexp_uint_t x) { sexp_uint_t t, tt; #if SEXP_64_BIT if ((tt = x >> 32)) return integer_log2(tt) + 32; else #endif if ((tt = x >> 16)) return (t = tt >> 8) ? 24 + log_table_256[t] : 16 + log_table_256[tt]; else return (t = x >> 8) ? 8 + log_table_256[t] : log_table_256[x]; } sexp sexp_integer_length (sexp ctx, sexp self, sexp_sint_t n, sexp x) { sexp_sint_t tmp; #if SEXP_USE_BIGNUMS sexp_sint_t hi; #endif if (sexp_fixnump(x)) { tmp = sexp_unbox_fixnum(x); return sexp_make_fixnum(integer_log2(tmp < 0 ? -tmp-1 : tmp)); #if SEXP_USE_BIGNUMS } else if (sexp_bignump(x)) { hi = sexp_bignum_hi(x); return sexp_make_fixnum(integer_log2(sexp_bignum_data(x)[hi-1]) + (hi-1)*sizeof(sexp_uint_t)*CHAR_BIT); #endif } else { return sexp_type_exception(ctx, self, SEXP_FIXNUM, x); } } sexp sexp_bit_set_p (sexp ctx, sexp self, sexp_sint_t n, sexp i, sexp x) { sexp_sint_t pos; #if SEXP_USE_BIGNUMS sexp_sint_t rem; #endif if (! sexp_fixnump(i)) return sexp_type_exception(ctx, self, SEXP_FIXNUM, i); pos = sexp_unbox_fixnum(i); if (pos < 0) return sexp_xtype_exception(ctx, self, "index must be non-negative", i); if (sexp_fixnump(x)) { return sexp_make_boolean((pos < sizeof(sexp_uint_t)*CHAR_BIT) && (sexp_unbox_fixnum(x) & (1UL<