/* * Utility compute operations used by translated code. * * Copyright (c) 2003 Fabrice Bellard * Copyright (c) 2007 Aurelien Jarno * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN * THE SOFTWARE. */ #include #include #include "qemu/host-utils.h" /* Long integer helpers */ static inline void mul64(uint64_t *plow, uint64_t *phigh, uint64_t a, uint64_t b) { typedef union { uint64_t ll; struct { #ifdef HOST_WORDS_BIGENDIAN uint32_t high, low; #else uint32_t low, high; #endif } l; } LL; LL rl, rm, rn, rh, a0, b0; uint64_t c; a0.ll = a; b0.ll = b; rl.ll = (uint64_t)a0.l.low * b0.l.low; rm.ll = (uint64_t)a0.l.low * b0.l.high; rn.ll = (uint64_t)a0.l.high * b0.l.low; rh.ll = (uint64_t)a0.l.high * b0.l.high; c = (uint64_t)rl.l.high + rm.l.low + rn.l.low; rl.l.high = c; c >>= 32; c = c + rm.l.high + rn.l.high + rh.l.low; rh.l.low = c; rh.l.high += (uint32_t)(c >> 32); *plow = rl.ll; *phigh = rh.ll; } /* Unsigned 64x64 -> 128 multiplication */ void mulu64 (uint64_t *plow, uint64_t *phigh, uint64_t a, uint64_t b) { mul64(plow, phigh, a, b); } /* Signed 64x64 -> 128 multiplication */ void muls64 (uint64_t *plow, uint64_t *phigh, int64_t a, int64_t b) { uint64_t rh; mul64(plow, &rh, a, b); /* Adjust for signs. */ if (b < 0) { rh -= a; } if (a < 0) { rh -= b; } *phigh = rh; } /* Unsigned 128x64 division. Returns 1 if overflow (divide by zero or */ /* quotient exceeds 64 bits). Otherwise returns quotient via plow and */ /* remainder via phigh. */ int divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor) { uint64_t dhi = *phigh; uint64_t dlo = *plow; unsigned i; uint64_t carry = 0; if (divisor == 0) { return 1; } else if (dhi == 0) { *plow = dlo / divisor; *phigh = dlo % divisor; return 0; } else if (dhi > divisor) { return 1; } else { for (i = 0; i < 64; i++) { carry = dhi >> 63; dhi = (dhi << 1) | (dlo >> 63); if (carry || (dhi >= divisor)) { dhi -= divisor; carry = 1; } else { carry = 0; } dlo = (dlo << 1) | carry; } *plow = dlo; *phigh = dhi; return 0; } } int divs128(int64_t *plow, int64_t *phigh, int64_t divisor) { int sgn_dvdnd = *phigh < 0; int sgn_divsr = divisor < 0; int overflow = 0; if (sgn_dvdnd) { *plow = ~(*plow); *phigh = ~(*phigh); if (*plow == (int64_t)-1) { *plow = 0; (*phigh)++; } else { (*plow)++; } } if (sgn_divsr) { divisor = 0 - divisor; } overflow = divu128((uint64_t *)plow, (uint64_t *)phigh, (uint64_t)divisor); if (sgn_dvdnd ^ sgn_divsr) { *plow = 0 - *plow; } if (!overflow) { if ((*plow < 0) ^ (sgn_dvdnd ^ sgn_divsr)) { overflow = 1; } } return overflow; }