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This commit is contained in:
Nuno Lopes 2026-02-15 16:11:57 +00:00
parent 45f5209c23
commit 8562788ad8
4 changed files with 111 additions and 442 deletions

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@ -33,11 +33,6 @@ Revision History:
#error No multi-precision library selected.
#endif
// Out-of-line definitions for static constexpr members (required for ODR-use in C++14 and earlier)
constexpr int mpz::SMALL_BITS;
constexpr int64_t mpz::SMALL_INT_MAX;
constexpr int64_t mpz::SMALL_INT_MIN;
// Available GCD algorithms
// #define EUCLID_GCD
// #define BINARY_GCD
@ -263,28 +258,25 @@ void mpz_manager<SYNCH>::sub(mpz const & a, mpz const & b, mpz & c) {
template<bool SYNCH>
void mpz_manager<SYNCH>::set_big_i64(mpz & c, int64_t v) {
#ifndef _MP_GMP
mpz_cell* cell = c.is_small() ? nullptr : c.ptr();
if (cell == nullptr) {
cell = allocate(m_init_cell_capacity);
c.set_ptr(cell, false, false); // Will update sign below
}
SASSERT(capacity(c) >= m_init_cell_capacity);
uint64_t _v;
bool is_negative = false;
bool sign = v < 0;
if (v == std::numeric_limits<int64_t>::min()) {
// min-int is even
_v = -(v/2);
is_negative = true;
}
else if (v < 0) {
_v = -v;
is_negative = true;
}
else {
_v = v;
}
c.set_sign(is_negative ? -1 : 1);
#ifndef _MP_GMP
if (c.is_small()) {
c.set_ptr(allocate(m_init_cell_capacity), sign, false);
} else {
c.set_sign(sign ? -1 : 1);
}
SASSERT(capacity(c) >= m_init_cell_capacity);
if (sizeof(digit_t) == sizeof(uint64_t)) {
// 64-bit machine
digits(c)[0] = static_cast<digit_t>(_v);
@ -297,21 +289,8 @@ void mpz_manager<SYNCH>::set_big_i64(mpz & c, int64_t v) {
c.ptr()->m_size = digits(c)[1] == 0 ? 1 : 2;
}
#else
mpz_t* cell = c.is_small() ? nullptr : c.ptr();
if (cell == nullptr) {
cell = allocate();
c.set_ptr(cell, false, false);
}
uint64_t _v;
bool sign = v < 0;
if (v == std::numeric_limits<int64_t>::min()) {
_v = -(v/2);
}
else if (v < 0) {
_v = -v;
}
else {
_v = v;
if (c.is_small()) {
c.set_ptr(allocate(), false, false);
}
mpz_set_ui(*c.ptr(), static_cast<unsigned>(_v));
MPZ_BEGIN_CRITICAL();
@ -330,13 +309,12 @@ void mpz_manager<SYNCH>::set_big_i64(mpz & c, int64_t v) {
template<bool SYNCH>
void mpz_manager<SYNCH>::set_big_ui64(mpz & c, uint64_t v) {
#ifndef _MP_GMP
mpz_cell* cell = c.is_small() ? nullptr : c.ptr();
if (cell == nullptr) {
cell = allocate(m_init_cell_capacity);
c.set_ptr(cell, false, false); // positive, owned
if (c.is_small()) {
c.set_ptr(allocate(m_init_cell_capacity), false, false); // positive, owned
} else {
c.set_sign(1); // positive
}
SASSERT(capacity(c) >= m_init_cell_capacity);
c.set_sign(1); // positive
if (sizeof(digit_t) == sizeof(uint64_t)) {
// 64-bit machine
digits(c)[0] = static_cast<digit_t>(v);
@ -349,10 +327,8 @@ void mpz_manager<SYNCH>::set_big_ui64(mpz & c, uint64_t v) {
c.ptr()->m_size = digits(c)[1] == 0 ? 1 : 2;
}
#else
mpz_t* cell = c.is_small() ? nullptr : c.ptr();
if (cell == nullptr) {
cell = allocate();
c.set_ptr(cell, false, false); // positive, owned
if (c.is_small()) {
c.set_ptr(allocate(), false, false); // positive, owned
}
mpz_set_ui(*c.ptr(), static_cast<unsigned>(v));
MPZ_BEGIN_CRITICAL();
@ -399,7 +375,7 @@ void mpz_manager<SYNCH>::set(mpz_cell& src, mpz & a, int sign, unsigned sz) {
}
unsigned d = src.m_digits[0];
if (i == 1 && d <= static_cast<unsigned>(mpz::SMALL_INT_MAX)) {
if (i == 1 && d <= mpz::SMALL_INT_MAX) {
// src fits in small integer range
a.set64(sign < 0 ? -static_cast<int64_t>(d) : static_cast<int64_t>(d));
return;
@ -447,30 +423,9 @@ void mpz_manager<SYNCH>::set_digits(mpz & target, unsigned sz, digit_t const * d
set(target, digits[0]);
else {
#ifndef _MP_GMP
mpz_cell* cell = target.is_small() ? nullptr : target.ptr();
if (cell == nullptr) {
unsigned c = sz < m_init_cell_capacity ? m_init_cell_capacity : sz;
cell = allocate(c);
cell->m_size = sz;
cell->m_capacity = c;
target.set_ptr(cell, false, false); // positive, owned
memcpy(cell->m_digits, digits, sizeof(digit_t) * sz);
}
else if (capacity(target) < sz) {
SASSERT(sz > m_init_cell_capacity);
mpz_cell* ptr = allocate(sz);
memcpy(ptr->m_digits, digits, sizeof(digit_t) * sz);
ptr->m_size = sz;
ptr->m_capacity = sz;
deallocate(target);
target.set_ptr(ptr, false, false); // positive, owned
}
else {
target.ptr()->m_size = sz;
if (target.ptr()->m_digits != digits)
memcpy(target.ptr()->m_digits, digits, sizeof(digit_t) * sz);
// already large
}
allocate_if_needed(target, sz);
memcpy(target.ptr()->m_digits, digits, sizeof(digit_t) * sz);
target.set_sign(1):
#else
mk_big(target);
// reset
@ -710,13 +665,7 @@ template<bool SYNCH>
void mpz_manager<SYNCH>::neg(mpz & a) {
STRACE(mpz, tout << "[mpz] 0 - " << to_string(a) << " == ";);
if (is_small(a)) {
int64_t v = a.value();
if (v == mpz::SMALL_INT_MIN) {
// neg(SMALL_INT_MIN) overflows small range
set_big_i64(a, -v);
return;
}
a.set64(-v);
a.set64(-a.value());
}
#ifndef _MP_GMP
else {
@ -735,12 +684,7 @@ void mpz_manager<SYNCH>::abs(mpz & a) {
if (is_small(a)) {
int64_t v = a.value();
if (v < 0) {
if (v == mpz::SMALL_INT_MIN) {
// abs(SMALL_INT_MIN) overflows small range
set_big_i64(a, -v);
}
else
a.set64(-v);
a.set64(-v);
}
}
else {
@ -948,15 +892,11 @@ void mpz_manager<SYNCH>::gcd(mpz const & a, mpz const & b, mpz & c) {
if (is_small(a) && is_small(b)) {
int64_t _a = a.value();
int64_t _b = b.value();
// Check if absolute values fit in uint64 (they always do for small integers)
// and won't overflow when negating
if (_a != mpz::SMALL_INT_MIN && _b != mpz::SMALL_INT_MIN) {
if (_a < 0) _a = -_a;
if (_b < 0) _b = -_b;
uint64_t r = u64_gcd(static_cast<uint64_t>(_a), static_cast<uint64_t>(_b));
set(c, r);
return;
}
if (_a < 0) _a = -_a;
if (_b < 0) _b = -_b;
uint64_t r = u64_gcd(static_cast<uint64_t>(_a), static_cast<uint64_t>(_b));
set(c, r);
return;
}
else {
#ifdef _MP_GMP
@ -1202,8 +1142,8 @@ void mpz_manager<SYNCH>::gcd(mpz const & a, mpz const & b, mpz & c) {
}
}
del(a1); del(b1); del(r); del(t); del(tmp);
}
#endif // LEHMER_GCD
}
}
template<bool SYNCH>
@ -1564,28 +1504,9 @@ void mpz_manager<SYNCH>::big_set(mpz & target, mpz const & source) {
#ifndef _MP_GMP
if (&target == &source)
return;
int src_sign = source.sign();
mpz_cell* target_cell = target.is_small() ? nullptr : target.ptr();
if (target_cell == nullptr) {
mpz_cell* new_cell = allocate(capacity(source));
new_cell->m_size = size(source);
new_cell->m_capacity = capacity(source);
memcpy(new_cell->m_digits, source.ptr()->m_digits, sizeof(digit_t) * size(source));
target.set_ptr(new_cell, src_sign < 0, false);
}
else if (capacity(target) < size(source)) {
deallocate(target);
mpz_cell* new_cell = allocate(capacity(source));
new_cell->m_size = size(source);
new_cell->m_capacity = capacity(source);
memcpy(new_cell->m_digits, source.ptr()->m_digits, sizeof(digit_t) * size(source));
target.set_ptr(new_cell, src_sign < 0, false);
}
else {
target.ptr()->m_size = size(source);
memcpy(target.ptr()->m_digits, source.ptr()->m_digits, sizeof(digit_t) * size(source));
target.set_sign(src_sign);
}
allocate_if_needed(target, capacity(source));
memcpy(digits(target), digits(source), sizeof(digit_t) * size(source));
target.set_sign(source.sign());
#else
// GMP version
mk_big(target);
@ -1637,12 +1558,7 @@ bool mpz_manager<SYNCH>::is_uint64(mpz const & a) const {
return a.value() >= 0;
if (a.sign() < 0)
return false;
if (sizeof(digit_t) == sizeof(uint64_t)) {
return size(a) <= 1;
}
else {
return size(a) <= 2;
}
return size(a) <= (sizeof(digit_t) == sizeof(uint64_t) ? 1 : 2);
#else
// GMP version
if (is_small(a))
@ -1768,15 +1684,11 @@ void mpz_manager<SYNCH>::display(std::ostream & out, mpz const & a) const {
else {
#ifndef _MP_GMP
if (a.sign() < 0)
out << "-";
if (sizeof(digit_t) == 4) {
sbuffer<char, 1024> buffer(11*size(a), 0);
out << m_mpn_manager.to_string(digits(a), size(a), buffer.begin(), buffer.size());
}
else {
sbuffer<char, 1024> buffer(21*size(a), 0);
out << m_mpn_manager.to_string(digits(a), size(a), buffer.begin(), buffer.size());
}
out << '-';
auto sz = sizeof(digit_t) == 4 ? 11 : 21;
sbuffer<char, 1024> buffer(sz * size(a), 0);
out << m_mpn_manager.to_string(digits(a), size(a), buffer.begin(), buffer.size());
#else
// GMP version
size_t sz = mpz_sizeinbase(*a.ptr(), 10) + 2;
@ -1933,8 +1845,7 @@ void mpz_manager<SYNCH>::power(mpz const & a, unsigned p, mpz & b) {
mpz_pow_ui(*b.ptr(), *a.ptr(), p);
return;
}
#endif
#ifndef _MP_GMP
#else
if (is_small(a)) {
if (a.value() == 2) {
if (p < 8 * sizeof(int) - 1) {
@ -1992,8 +1903,8 @@ bool mpz_manager<SYNCH>::is_power_of_two(mpz const & a, unsigned & shift) {
return false;
if (is_small(a)) {
int64_t v = a.value();
if (v > 0 && (v & (v - 1)) == 0) { // Check if power of 2
shift = uint64_log2(static_cast<uint64_t>(v));
if (::is_power_of_two(v)) {
shift = log2(static_cast<uint64_t>(v));
return true;
}
else {
@ -2009,7 +1920,7 @@ bool mpz_manager<SYNCH>::is_power_of_two(mpz const & a, unsigned & shift) {
return false;
}
digit_t v = ds[sz-1];
if (!(v & (v - 1)) && v) {
if (::is_power_of_two(v)) {
shift = log2(a);
return true;
}
@ -2038,59 +1949,26 @@ void mpz_manager<SYNCH>::ensure_capacity(mpz & a, unsigned capacity) {
if (is_small(a)) {
int64_t val = a.value();
uint64_t abs_val = static_cast<uint64_t>(-val);
allocate_if_needed(a, capacity);
SASSERT(a.ptr()->m_capacity >= capacity);
// Check if this is SMALL_INT_MIN which needs special handling
if (val == mpz::SMALL_INT_MIN) {
// For 32-bit: SMALL_INT_MIN = -2^30, so -val = 2^30 fits in unsigned
// For 64-bit: SMALL_INT_MIN = -2^62, so -val = 2^62 fits in uint64_t
uint64_t abs_val = static_cast<uint64_t>(-val);
if (sizeof(digit_t) == sizeof(uint64_t)) {
// 64-bit machine
a.ptr()->m_digits[0] = static_cast<digit_t>(abs_val);
a.ptr()->m_size = 1;
}
else {
// 32-bit machine
a.ptr()->m_digits[0] = static_cast<unsigned>(abs_val);
a.ptr()->m_digits[1] = static_cast<unsigned>(abs_val >> 32);
a.ptr()->m_size = (abs_val >> 32) == 0 ? 1 : 2;
}
a.set_sign(-1);
}
else if (val < 0) {
uint64_t abs_val = static_cast<uint64_t>(-val);
if (sizeof(digit_t) == sizeof(uint64_t)) {
a.ptr()->m_digits[0] = static_cast<digit_t>(abs_val);
a.ptr()->m_size = 1;
}
else {
a.ptr()->m_digits[0] = static_cast<unsigned>(abs_val);
a.ptr()->m_digits[1] = static_cast<unsigned>(abs_val >> 32);
a.ptr()->m_size = (abs_val >> 32) == 0 ? 1 : 2;
}
a.set_sign(-1);
if (sizeof(digit_t) == sizeof(uint64_t)) {
a.ptr()->m_digits[0] = static_cast<digit_t>(abs_val);
a.ptr()->m_size = 1;
}
else {
if (sizeof(digit_t) == sizeof(uint64_t)) {
a.ptr()->m_digits[0] = static_cast<digit_t>(val);
a.ptr()->m_size = 1;
}
else {
a.ptr()->m_digits[0] = static_cast<unsigned>(val);
a.ptr()->m_digits[1] = static_cast<unsigned>(val >> 32);
a.ptr()->m_size = (val >> 32) == 0 ? 1 : 2;
}
a.set_sign(1);
a.ptr()->m_digits[0] = static_cast<unsigned>(abs_val);
a.ptr()->m_digits[1] = static_cast<unsigned>(abs_val >> 32);
a.ptr()->m_size = (abs_val >> 32) == 0 ? 1 : 2;
}
a.set_sign(val < 0 ? -1 : 1);
}
else if (a.ptr()->m_capacity < capacity) {
mpz_cell * new_cell = allocate(capacity);
SASSERT(new_cell->m_capacity == capacity);
unsigned old_sz = a.ptr()->m_size;
SASSERT(capacity >= old_sz);
new_cell->m_size = old_sz;
for (unsigned i = 0; i < old_sz; ++i)
new_cell->m_digits[i] = a.ptr()->m_digits[i];
memcpy(new_cell->m_digits, digits(a), sizeof(digit_t) * old_sz)
bool is_neg = a.sign() < 0;
deallocate(a);
a.set_ptr(new_cell, is_neg, false);
@ -2106,21 +1984,7 @@ void mpz_manager<SYNCH>::normalize(mpz & a) {
if (ds[i-1] != 0)
break;
}
if (i == 0) {
// a is zero...
set(a, 0);
return;
}
if (i == 1 && ds[0] <= static_cast<unsigned>(mpz::SMALL_INT_MAX)) {
// a fits in small integer range
int64_t val = a.sign() < 0 ? -static_cast<int64_t>(ds[0]) : static_cast<int64_t>(ds[0]);
a.set64(val);
return;
}
// adjust size
c->m_size = i;
c->m_size = std::max(1u, i);
}
#endif
@ -2129,21 +1993,13 @@ void mpz_manager<SYNCH>::machine_div2k(mpz & a, unsigned k) {
if (k == 0 || is_zero(a))
return;
if (is_small(a)) {
if (k < 32) {
int64_t twok = 1ull << ((int64_t)k);
int64_t val = a.value();
int64_t result = val / twok;
// Division by power of 2 should keep us in small range
SASSERT(mpz::fits_in_small(result));
a.set64(result);
}
else if (k < 64) {
if (k < 64) {
int64_t twok = 1ull << ((int64_t)k);
int64_t val = a.value();
a.set64(val/twok);
}
else {
a.set(0);
a.set64(0);
}
return;
}
@ -2272,48 +2128,8 @@ unsigned mpz_manager<SYNCH>::power_of_two_multiple(mpz const & a) {
if (is_zero(a))
return 0;
if (is_small(a)) {
unsigned r = 0;
int64_t val = a.value();
// Count trailing zeros in 64-bit value
if (val == 0) return 0;
// Work with absolute value for counting trailing zeros
// Handle SMALL_INT_MIN specially to avoid overflow
uint64_t v;
if (val == mpz::SMALL_INT_MIN) {
// SMALL_INT_MIN = -2^(SMALL_BITS-1), so it has (SMALL_BITS-1) trailing zeros
// On 32-bit: return 30, on 64-bit: return 62
return (sizeof(uintptr_t) * 8 - 1) - 1;
} else if (val < 0) {
v = static_cast<uint64_t>(-val);
} else {
v = static_cast<uint64_t>(val);
}
if ((v & 0xFFFFFFFF) == 0) {
r += 32;
v >>= 32;
}
if ((v & 0xFFFF) == 0) {
r += 16;
v >>= 16;
}
if ((v & 0xFF) == 0) {
r += 8;
v >>= 8;
}
if ((v & 0xF) == 0) {
r += 4;
v >>= 4;
}
if ((v & 0x3) == 0) {
r += 2;
v >>= 2;
}
if ((v & 0x1) == 0) {
r++;
}
return r;
return std::countr_zero(static_cast<uint64_t>(val < 0 ? -val : val));
}
#ifndef _MP_GMP
mpz_cell * c = a.ptr();
@ -2322,35 +2138,7 @@ unsigned mpz_manager<SYNCH>::power_of_two_multiple(mpz const & a) {
digit_t * source = c->m_digits;
for (unsigned i = 0; i < sz; ++i) {
if (source[i] != 0) {
digit_t v = source[i];
if (sizeof(digit_t) == 8) {
// TODO: we can remove this if after we move to MPN
// In MPN the digit_t is always an unsigned integer
if (static_cast<uint64_t>(v) % (static_cast<uint64_t>(1) << 32) == 0) {
r += 32;
v = static_cast<digit_t>(static_cast<uint64_t>(v) / (static_cast<uint64_t>(1) << 32));
}
}
// Count trailing zeros in digit_t
if (v % (1 << 16) == 0) {
r += 16;
v /= (1 << 16);
}
if (v % (1 << 8) == 0) {
r += 8;
v /= (1 << 8);
}
if (v % (1 << 4) == 0) {
r += 4;
v /= (1 << 4);
}
if (v % (1 << 2) == 0) {
r += 2;
v /= (1 << 2);
}
if (v % 2 == 0) {
r++;
}
r += std::countr_zero(source[i]);
return r;
}
r += (8 * sizeof(digit_t));
@ -2366,8 +2154,7 @@ unsigned mpz_manager<SYNCH>::log2(mpz const & a) {
if (is_nonpos(a))
return 0;
if (is_small(a)) {
int64_t v = a.value();
return uint64_log2(static_cast<uint64_t>(v));
return ::log2(static_cast<uint64_t>(a.value()));
}
#ifndef _MP_GMP
static_assert(sizeof(digit_t) == 8 || sizeof(digit_t) == 4, "");
@ -2375,9 +2162,9 @@ unsigned mpz_manager<SYNCH>::log2(mpz const & a) {
unsigned sz = c->m_size;
digit_t * ds = c->m_digits;
if (sizeof(digit_t) == 8)
return (sz - 1)*64 + uint64_log2(ds[sz-1]);
return (sz - 1)*64 + ::log2(ds[sz-1]);
else
return (sz - 1)*32 + ::log2(static_cast<unsigned>(ds[sz-1]));
return (sz - 1)*32 + ::log2(ds[sz-1]);
#else
unsigned r = mpz_sizeinbase(*a.ptr(), 2);
SASSERT(r > 0);
@ -2390,14 +2177,7 @@ unsigned mpz_manager<SYNCH>::mlog2(mpz const & a) {
if (is_nonneg(a))
return 0;
if (is_small(a)) {
int64_t v = a.value();
if (v == mpz::SMALL_INT_MIN) {
// Special case: negating SMALL_INT_MIN would overflow
// For 32-bit: SMALL_INT_MIN = -2^30, so log2(2^30) = 30
// For 64-bit: SMALL_INT_MIN = -2^62, so log2(2^62) = 62
return (sizeof(uintptr_t) * 8 - 1) - 1;
}
return uint64_log2(static_cast<uint64_t>(-v));
return ::log2(static_cast<uint64_t>(-va.value()));
}
#ifndef _MP_GMP
static_assert(sizeof(digit_t) == 8 || sizeof(digit_t) == 4, "");
@ -2405,9 +2185,9 @@ unsigned mpz_manager<SYNCH>::mlog2(mpz const & a) {
unsigned sz = c->m_size;
digit_t * ds = c->m_digits;
if (sizeof(digit_t) == 8)
return (sz - 1)*64 + uint64_log2(ds[sz-1]);
return (sz - 1)*64 + ::log2(ds[sz-1]);
else
return (sz - 1)*32 + ::log2(static_cast<unsigned>(ds[sz-1]));
return (sz - 1)*32 + ::log2(ds[sz-1]);
#else
MPZ_BEGIN_CRITICAL();
mpz_neg(m_tmp, *a.ptr());
@ -2619,7 +2399,7 @@ digit_t mpz_manager<SYNCH>::get_least_significant(mpz const& a) {
if (is_small(a))
return std::abs(a.value());
#ifndef _MP_GMP
mpz_cell* cell_a = a.ptr();
mpz_cell* cell_a = a.ptr();
unsigned sz = cell_a->m_size;
if (sz == 0)
return 0;
@ -2635,11 +2415,11 @@ bool mpz_manager<SYNCH>::decompose(mpz const & a, svector<digit_t> & digits) {
if (is_small(a)) {
int64_t v = a.value();
bool is_neg = v < 0;
uint64_t abs_v = is_neg ? static_cast<uint64_t>(-v) : static_cast<uint64_t>(v);
uint64_t abs_v = static_cast<uint64_t>(is_neg ? -v : v);
// Decompose absolute value into digits
if (sizeof(digit_t) == sizeof(uint64_t)) {
digits.push_back(static_cast<digit_t>(abs_v));
digits.push_back(abs_v);
} else {
// digit_t is 32-bit, need to split 64-bit value
digits.push_back(static_cast<digit_t>(abs_v));