/***********************************************************************/ /* */ /* Objective Caml */ /* */ /* Xavier Leroy, projet Cristal, INRIA Rocquencourt */ /* */ /* Copyright 2002 Institut National de Recherche en Informatique et */ /* en Automatique. All rights reserved. This file is distributed */ /* under the terms of the GNU Library General Public License, with */ /* the special exception on linking described in file ../LICENSE. */ /* */ /***********************************************************************/ /* $Id$ */ /* Software emulation of 64-bit integer arithmetic, for C compilers that do not support it. */ #ifndef CAML_INT64_EMUL_H #define CAML_INT64_EMUL_H #include #ifdef ARCH_BIG_ENDIAN #define I64_literal(hi,lo) { hi, lo } #else #define I64_literal(hi,lo) { lo, hi } #endif #define I64_split(x,hi,lo) (hi = (x).h, lo = (x).l) /* Unsigned comparison */ static int I64_ucompare(uint64 x, uint64 y) { if (x.h > y.h) return 1; if (x.h < y.h) return -1; if (x.l > y.l) return 1; if (x.l < y.l) return -1; return 0; } #define I64_ult(x, y) (I64_ucompare(x, y) < 0) /* Signed comparison */ static int I64_compare(int64 x, int64 y) { if ((int32)x.h > (int32)y.h) return 1; if ((int32)x.h < (int32)y.h) return -1; if (x.l > y.l) return 1; if (x.l < y.l) return -1; return 0; } /* Negation */ static int64 I64_neg(int64 x) { int64 res; res.l = -x.l; res.h = ~x.h; if (res.l == 0) res.h++; return res; } /* Addition */ static int64 I64_add(int64 x, int64 y) { int64 res; res.l = x.l + y.l; res.h = x.h + y.h; if (res.l < x.l) res.h++; return res; } /* Subtraction */ static int64 I64_sub(int64 x, int64 y) { int64 res; res.l = x.l - y.l; res.h = x.h - y.h; if (x.l < y.l) res.h--; return res; } /* Multiplication */ static int64 I64_mul(int64 x, int64 y) { int64 res; uint32 prod00 = (x.l & 0xFFFF) * (y.l & 0xFFFF); uint32 prod10 = (x.l >> 16) * (y.l & 0xFFFF); uint32 prod01 = (x.l & 0xFFFF) * (y.l >> 16); uint32 prod11 = (x.l >> 16) * (y.l >> 16); res.l = prod00; res.h = prod11 + (prod01 >> 16) + (prod10 >> 16); prod01 = prod01 << 16; res.l += prod01; if (res.l < prod01) res.h++; prod10 = prod10 << 16; res.l += prod10; if (res.l < prod10) res.h++; res.h += x.l * y.h + x.h * y.l; return res; } #define I64_is_zero(x) (((x).l | (x).h) == 0) #define I64_is_negative(x) ((int32) (x).h < 0) #define I64_is_min_int(x) ((x).l == 0 && (x).h == 0x80000000U) #define I64_is_minus_one(x) (((x).l & (x).h) == 0xFFFFFFFFU) /* Bitwise operations */ static int64 I64_and(int64 x, int64 y) { int64 res; res.l = x.l & y.l; res.h = x.h & y.h; return res; } static int64 I64_or(int64 x, int64 y) { int64 res; res.l = x.l | y.l; res.h = x.h | y.h; return res; } static int64 I64_xor(int64 x, int64 y) { int64 res; res.l = x.l ^ y.l; res.h = x.h ^ y.h; return res; } /* Shifts */ static int64 I64_lsl(int64 x, int s) { int64 res; s = s & 63; if (s == 0) return x; if (s < 32) { res.l = x.l << s; res.h = (x.h << s) | (x.l >> (32 - s)); } else { res.l = 0; res.h = x.l << (s - 32); } return res; } static int64 I64_lsr(int64 x, int s) { int64 res; s = s & 63; if (s == 0) return x; if (s < 32) { res.l = (x.l >> s) | (x.h << (32 - s)); res.h = x.h >> s; } else { res.l = x.h >> (s - 32); res.h = 0; } return res; } static int64 I64_asr(int64 x, int s) { int64 res; s = s & 63; if (s == 0) return x; if (s < 32) { res.l = (x.l >> s) | (x.h << (32 - s)); res.h = (int32) x.h >> s; } else { res.l = (int32) x.h >> (s - 32); res.h = (int32) x.h >> 31; } return res; } /* Division and modulus */ #define I64_SHL1(x) x.h = (x.h << 1) | (x.l >> 31); x.l <<= 1 #define I64_SHR1(x) x.l = (x.l >> 1) | (x.h << 31); x.h >>= 1 static void I64_udivmod(uint64 modulus, uint64 divisor, uint64 * quo, uint64 * mod) { int64 quotient, mask; int cmp; quotient.h = 0; quotient.l = 0; mask.h = 0; mask.l = 1; while ((int32) divisor.h >= 0) { cmp = I64_ucompare(divisor, modulus); I64_SHL1(divisor); I64_SHL1(mask); if (cmp >= 0) break; } while (mask.l | mask.h) { if (I64_ucompare(modulus, divisor) >= 0) { quotient.h |= mask.h; quotient.l |= mask.l; modulus = I64_sub(modulus, divisor); } I64_SHR1(mask); I64_SHR1(divisor); } *quo = quotient; *mod = modulus; } static int64 I64_div(int64 x, int64 y) { int64 q, r; int32 sign; sign = x.h ^ y.h; if ((int32) x.h < 0) x = I64_neg(x); if ((int32) y.h < 0) y = I64_neg(y); I64_udivmod(x, y, &q, &r); if (sign < 0) q = I64_neg(q); return q; } static int64 I64_mod(int64 x, int64 y) { int64 q, r; int32 sign; sign = x.h; if ((int32) x.h < 0) x = I64_neg(x); if ((int32) y.h < 0) y = I64_neg(y); I64_udivmod(x, y, &q, &r); if (sign < 0) r = I64_neg(r); return r; } /* Coercions */ static int64 I64_of_int32(int32 x) { int64 res; res.l = x; res.h = x >> 31; return res; } #define I64_to_int32(x) ((int32) (x).l) /* Note: we assume sizeof(intnat) = 4 here, which is true otherwise autoconfiguration would have selected native 64-bit integers */ #define I64_of_intnat I64_of_int32 #define I64_to_intnat I64_to_int32 static double I64_to_double(int64 x) { double res; int32 sign = x.h; if (sign < 0) x = I64_neg(x); res = ldexp((double) x.h, 32) + x.l; if (sign < 0) res = -res; return res; } static int64 I64_of_double(double f) { int64 res; double frac, integ; int neg; neg = (f < 0); f = fabs(f); frac = modf(ldexp(f, -32), &integ); res.h = (uint32) integ; res.l = (uint32) ldexp(frac, 32); if (neg) res = I64_neg(res); return res; } #endif /* CAML_INT64_EMUL_H */