06c0259a08
The previous code didn't detect overflows if the high 64-bit of the dividend were equal to the 64-bit divisor. In that case, 64 bits wouldn't be enough to hold the quotient. Signed-off-by: Luis Pires <luis.pires@eldorado.org.br> Reviewed-by: Richard Henderson <richard.henderson@linaro.org> Message-Id: <20210910112624.72748-2-luis.pires@eldorado.org.br> Signed-off-by: David Gibson <david@gibson.dropbear.id.au>
228 lines
5.9 KiB
C
228 lines
5.9 KiB
C
/*
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* Utility compute operations used by translated code.
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*
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* Copyright (c) 2003 Fabrice Bellard
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* Copyright (c) 2007 Aurelien Jarno
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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#include "qemu/osdep.h"
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#include "qemu/host-utils.h"
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#ifndef CONFIG_INT128
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/* Long integer helpers */
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static inline void mul64(uint64_t *plow, uint64_t *phigh,
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uint64_t a, uint64_t b)
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{
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typedef union {
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uint64_t ll;
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struct {
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#ifdef HOST_WORDS_BIGENDIAN
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uint32_t high, low;
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#else
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uint32_t low, high;
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#endif
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} l;
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} LL;
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LL rl, rm, rn, rh, a0, b0;
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uint64_t c;
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a0.ll = a;
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b0.ll = b;
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rl.ll = (uint64_t)a0.l.low * b0.l.low;
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rm.ll = (uint64_t)a0.l.low * b0.l.high;
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rn.ll = (uint64_t)a0.l.high * b0.l.low;
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rh.ll = (uint64_t)a0.l.high * b0.l.high;
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c = (uint64_t)rl.l.high + rm.l.low + rn.l.low;
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rl.l.high = c;
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c >>= 32;
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c = c + rm.l.high + rn.l.high + rh.l.low;
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rh.l.low = c;
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rh.l.high += (uint32_t)(c >> 32);
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*plow = rl.ll;
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*phigh = rh.ll;
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}
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/* Unsigned 64x64 -> 128 multiplication */
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void mulu64 (uint64_t *plow, uint64_t *phigh, uint64_t a, uint64_t b)
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{
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mul64(plow, phigh, a, b);
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}
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/* Signed 64x64 -> 128 multiplication */
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void muls64 (uint64_t *plow, uint64_t *phigh, int64_t a, int64_t b)
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{
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uint64_t rh;
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mul64(plow, &rh, a, b);
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/* Adjust for signs. */
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if (b < 0) {
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rh -= a;
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}
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if (a < 0) {
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rh -= b;
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}
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*phigh = rh;
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}
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/* Unsigned 128x64 division. Returns 1 if overflow (divide by zero or */
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/* quotient exceeds 64 bits). Otherwise returns quotient via plow and */
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/* remainder via phigh. */
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int divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor)
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{
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uint64_t dhi = *phigh;
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uint64_t dlo = *plow;
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unsigned i;
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uint64_t carry = 0;
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if (divisor == 0) {
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return 1;
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} else if (dhi == 0) {
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*plow = dlo / divisor;
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*phigh = dlo % divisor;
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return 0;
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} else if (dhi >= divisor) {
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return 1;
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} else {
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for (i = 0; i < 64; i++) {
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carry = dhi >> 63;
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dhi = (dhi << 1) | (dlo >> 63);
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if (carry || (dhi >= divisor)) {
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dhi -= divisor;
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carry = 1;
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} else {
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carry = 0;
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}
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dlo = (dlo << 1) | carry;
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}
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*plow = dlo;
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*phigh = dhi;
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return 0;
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}
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}
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int divs128(int64_t *plow, int64_t *phigh, int64_t divisor)
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{
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int sgn_dvdnd = *phigh < 0;
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int sgn_divsr = divisor < 0;
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int overflow = 0;
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if (sgn_dvdnd) {
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*plow = ~(*plow);
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*phigh = ~(*phigh);
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if (*plow == (int64_t)-1) {
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*plow = 0;
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(*phigh)++;
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} else {
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(*plow)++;
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}
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}
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if (sgn_divsr) {
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divisor = 0 - divisor;
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}
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overflow = divu128((uint64_t *)plow, (uint64_t *)phigh, (uint64_t)divisor);
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if (sgn_dvdnd ^ sgn_divsr) {
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*plow = 0 - *plow;
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}
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if (!overflow) {
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if ((*plow < 0) ^ (sgn_dvdnd ^ sgn_divsr)) {
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overflow = 1;
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}
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}
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return overflow;
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}
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#endif
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/**
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* urshift - 128-bit Unsigned Right Shift.
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* @plow: in/out - lower 64-bit integer.
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* @phigh: in/out - higher 64-bit integer.
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* @shift: in - bytes to shift, between 0 and 127.
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*
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* Result is zero-extended and stored in plow/phigh, which are
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* input/output variables. Shift values outside the range will
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* be mod to 128. In other words, the caller is responsible to
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* verify/assert both the shift range and plow/phigh pointers.
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*/
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void urshift(uint64_t *plow, uint64_t *phigh, int32_t shift)
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{
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shift &= 127;
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if (shift == 0) {
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return;
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}
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uint64_t h = *phigh >> (shift & 63);
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if (shift >= 64) {
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*plow = h;
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*phigh = 0;
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} else {
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*plow = (*plow >> (shift & 63)) | (*phigh << (64 - (shift & 63)));
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*phigh = h;
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}
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}
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/**
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* ulshift - 128-bit Unsigned Left Shift.
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* @plow: in/out - lower 64-bit integer.
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* @phigh: in/out - higher 64-bit integer.
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* @shift: in - bytes to shift, between 0 and 127.
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* @overflow: out - true if any 1-bit is shifted out.
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*
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* Result is zero-extended and stored in plow/phigh, which are
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* input/output variables. Shift values outside the range will
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* be mod to 128. In other words, the caller is responsible to
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* verify/assert both the shift range and plow/phigh pointers.
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*/
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void ulshift(uint64_t *plow, uint64_t *phigh, int32_t shift, bool *overflow)
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{
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uint64_t low = *plow;
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uint64_t high = *phigh;
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shift &= 127;
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if (shift == 0) {
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return;
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}
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/* check if any bit will be shifted out */
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urshift(&low, &high, 128 - shift);
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if (low | high) {
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*overflow = true;
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}
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if (shift >= 64) {
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*phigh = *plow << (shift & 63);
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*plow = 0;
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} else {
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*phigh = (*plow >> (64 - (shift & 63))) | (*phigh << (shift & 63));
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*plow = *plow << shift;
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}
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}
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