host-utils: add 128-bit quotient support to divu128/divs128
These will be used to implement new decimal floating point instructions from Power ISA 3.1. The remainder is now returned directly by divu128/divs128, freeing up phigh to receive the high 64 bits of the quotient. Signed-off-by: Luis Pires <luis.pires@eldorado.org.br> Reviewed-by: Richard Henderson <richard.henderson@linaro.org> Message-Id: <20211025191154.350831-4-luis.pires@eldorado.org.br> Signed-off-by: Richard Henderson <richard.henderson@linaro.org>
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@ -323,11 +323,7 @@ static inline uint64_t clock_ns_to_ticks(const Clock *clk, uint64_t ns)
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if (clk->period == 0) {
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return 0;
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}
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/*
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* BUG: when CONFIG_INT128 is not defined, the current implementation of
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* divu128 does not return a valid truncated quotient, so the result will
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* be wrong.
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*/
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divu128(&lo, &hi, clk->period);
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return lo;
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}
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@ -56,26 +56,32 @@ static inline uint64_t muldiv64(uint64_t a, uint32_t b, uint32_t c)
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return (__int128_t)a * b / c;
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}
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static inline void divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor)
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static inline uint64_t divu128(uint64_t *plow, uint64_t *phigh,
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uint64_t divisor)
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{
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__uint128_t dividend = ((__uint128_t)*phigh << 64) | *plow;
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__uint128_t result = dividend / divisor;
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*plow = result;
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*phigh = dividend % divisor;
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*phigh = result >> 64;
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return dividend % divisor;
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}
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static inline void divs128(int64_t *plow, int64_t *phigh, int64_t divisor)
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static inline int64_t divs128(uint64_t *plow, int64_t *phigh,
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int64_t divisor)
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{
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__int128_t dividend = ((__int128_t)*phigh << 64) | (uint64_t)*plow;
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__int128_t dividend = ((__int128_t)*phigh << 64) | *plow;
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__int128_t result = dividend / divisor;
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*plow = result;
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*phigh = dividend % divisor;
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*phigh = result >> 64;
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return dividend % divisor;
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}
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#else
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void muls64(uint64_t *plow, uint64_t *phigh, int64_t a, int64_t b);
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void mulu64(uint64_t *plow, uint64_t *phigh, uint64_t a, uint64_t b);
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void divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor);
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void divs128(int64_t *plow, int64_t *phigh, int64_t divisor);
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uint64_t divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor);
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int64_t divs128(uint64_t *plow, int64_t *phigh, int64_t divisor);
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static inline uint64_t muldiv64(uint64_t a, uint32_t b, uint32_t c)
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{
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@ -120,7 +120,7 @@ uint64_t helper_divdeu(CPUPPCState *env, uint64_t ra, uint64_t rb, uint32_t oe)
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uint64_t helper_divde(CPUPPCState *env, uint64_t rau, uint64_t rbu, uint32_t oe)
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{
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int64_t rt = 0;
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uint64_t rt = 0;
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int64_t ra = (int64_t)rau;
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int64_t rb = (int64_t)rbu;
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int overflow = 0;
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@ -2506,6 +2506,7 @@ uint32_t helper_bcdcfsq(ppc_avr_t *r, ppc_avr_t *b, uint32_t ps)
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int cr;
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uint64_t lo_value;
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uint64_t hi_value;
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uint64_t rem;
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ppc_avr_t ret = { .u64 = { 0, 0 } };
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if (b->VsrSD(0) < 0) {
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@ -2541,10 +2542,10 @@ uint32_t helper_bcdcfsq(ppc_avr_t *r, ppc_avr_t *b, uint32_t ps)
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* In that case, we leave r unchanged.
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*/
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} else {
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divu128(&lo_value, &hi_value, 1000000000000000ULL);
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rem = divu128(&lo_value, &hi_value, 1000000000000000ULL);
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for (i = 1; i < 16; hi_value /= 10, i++) {
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bcd_put_digit(&ret, hi_value % 10, i);
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for (i = 1; i < 16; rem /= 10, i++) {
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bcd_put_digit(&ret, rem % 10, i);
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}
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for (; i < 32; lo_value /= 10, i++) {
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@ -87,72 +87,117 @@ void muls64 (uint64_t *plow, uint64_t *phigh, int64_t a, int64_t b)
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}
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/*
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* Unsigned 128-by-64 division. Returns quotient via plow and
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* remainder via phigh.
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* The result must fit in 64 bits (plow) - otherwise, the result
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* is undefined.
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* This function will cause a division by zero if passed a zero divisor.
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* Unsigned 128-by-64 division.
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* Returns the remainder.
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* Returns quotient via plow and phigh.
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* Also returns the remainder via the function return value.
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*/
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void divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor)
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uint64_t 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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uint64_t rem, dhighest;
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int sh;
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if (divisor == 0 || dhi == 0) {
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*plow = dlo / divisor;
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*phigh = dlo % divisor;
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*phigh = 0;
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return dlo % divisor;
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} else {
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sh = clz64(divisor);
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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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if (dhi < divisor) {
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if (sh != 0) {
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/* normalize the divisor, shifting the dividend accordingly */
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divisor <<= sh;
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dhi = (dhi << sh) | (dlo >> (64 - sh));
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dlo <<= sh;
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}
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dlo = (dlo << 1) | carry;
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*phigh = 0;
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*plow = udiv_qrnnd(&rem, dhi, dlo, divisor);
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} else {
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if (sh != 0) {
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/* normalize the divisor, shifting the dividend accordingly */
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divisor <<= sh;
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dhighest = dhi >> (64 - sh);
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dhi = (dhi << sh) | (dlo >> (64 - sh));
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dlo <<= sh;
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*phigh = udiv_qrnnd(&dhi, dhighest, dhi, divisor);
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} else {
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/**
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* dhi >= divisor
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* Since the MSB of divisor is set (sh == 0),
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* (dhi - divisor) < divisor
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*
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* Thus, the high part of the quotient is 1, and we can
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* calculate the low part with a single call to udiv_qrnnd
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* after subtracting divisor from dhi
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*/
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dhi -= divisor;
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*phigh = 1;
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}
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*plow = udiv_qrnnd(&rem, dhi, dlo, divisor);
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}
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*plow = dlo;
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*phigh = dhi;
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/*
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* since the dividend/divisor might have been normalized,
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* the remainder might also have to be shifted back
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*/
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return rem >> sh;
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}
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}
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/*
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* Signed 128-by-64 division. Returns quotient via plow and
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* remainder via phigh.
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* The result must fit in 64 bits (plow) - otherwise, the result
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* is undefined.
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* This function will cause a division by zero if passed a zero divisor.
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* Signed 128-by-64 division.
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* Returns quotient via plow and phigh.
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* Also returns the remainder via the function return value.
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*/
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void divs128(int64_t *plow, int64_t *phigh, int64_t divisor)
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int64_t divs128(uint64_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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bool neg_quotient = false, neg_remainder = false;
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uint64_t unsig_hi = *phigh, unsig_lo = *plow;
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uint64_t rem;
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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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if (*phigh < 0) {
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neg_quotient = !neg_quotient;
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neg_remainder = !neg_remainder;
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if (unsig_lo == 0) {
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unsig_hi = -unsig_hi;
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} else {
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unsig_hi = ~unsig_hi;
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unsig_lo = -unsig_lo;
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}
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}
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if (divisor < 0) {
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neg_quotient = !neg_quotient;
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divisor = -divisor;
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}
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rem = divu128(&unsig_lo, &unsig_hi, (uint64_t)divisor);
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if (neg_quotient) {
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if (unsig_lo == 0) {
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*phigh = -unsig_hi;
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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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} else {
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*phigh = ~unsig_hi;
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*plow = -unsig_lo;
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}
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} else {
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*phigh = unsig_hi;
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*plow = unsig_lo;
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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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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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if (neg_remainder) {
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return -rem;
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} else {
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return rem;
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}
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}
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#endif
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