decimal decimal::operator *(const decimal& value) const
{
const decimal& a = length() <= value.length() ? *this : value;
const decimal& b = length() > value.length() ? *this : value;
if (a.isZero()) {
return decimal(0);
} else if (a.isUnity()) {
return b;
}
decimal c;
const auto as = a.length();
const auto bs = b.length();
c.digits.resize(as + bs);
for (size_t i = 0; i < as; i++) {
const digit ad = a[i];
if (ad == 0) {
continue;
}
decimal tmp;
tmp.digits.resize(bs + i + 1);
digit carry = 0;
for (size_t j = 0; j < bs; j++) {
digit d = b[j] * ad + carry;
carry = d / 10;
tmp[j + i] = d - (carry * 10);
}
if (carry) {
tmp[bs + i] = carry;
} else {
tmp.digits.resize(bs + i);
}
c += tmp;
}
c.remove_lz();
return c;
}
char decimal::relation_to(const decimal& b) const
{
const decimal& a = *this;
const auto as = a.length();
const auto bs = b.length();
if (as > bs) {
return +1;
} else if (bs > as) {
return -1;
}
for (auto i = as; i > 0; i--) {
digit d = a[i - 1] - b[i - 1];
if (d > 0) {
return +1;
} else if (d < 0) {
return -1;
}
}
return 0;
}
decimal decimal::operator -=(const decimal& b)
{
if (b.isZero()) {
return *this;
}
decimal& a = *this;
const size_t w = a.length();
if (b.length() > w) {
throw underflow_error("Negative values not allowed");
}
bool borrow = false;
for (size_t i = 0; i < w; i++) {
digit d = a[i] - b[i] - (borrow ? 1 : 0);
borrow = d < 0;
a[i] = borrow ? 10 + d : d;
}
if (borrow) {
throw underflow_error("Negative values not allowed");
}
remove_lz();
return *this;
}
decimal decimal::operator +=(const decimal& b)
{
if (isZero()) {
*this = b;
return *this;
} else if (b.isZero()) {
return *this;
}
decimal& a = *this;
const size_t w = max(a.length(), b.length());
digits.resize(w + 1);
bool carry = false;
for (size_t i = 0; i < w; i++) {
digit d = a[i] + b[i] + (carry ? 1 : 0);
carry = d >= 10;
a[i] = carry ? d - 10 : d;
}
if (carry) {
a[w] = 1;
} else {
digits.resize(w);
}
return *this;
}
decimal decimal::parallel_multiply(const decimal& l, const decimal& r)
{
const decimal& a = l.length() <= r.length() ? l : r;
const decimal& b = l.length() > r.length() ? l : r;
if (a.isZero()) {
return decimal(0);
} else if (a.isUnity()) {
return b;
}
const auto as = a.length();
const auto bs = b.length();
const size_t cores = std::thread::hardware_concurrency();
const size_t workers = min<size_t>(cores, (as / 1000));
if (workers == 0) {
return l * r;
}
decimal result;
result.digits.resize(as + bs);
mutex mx;
function<int(size_t, size_t)> partial_product = [&a, &b, as, bs, &mx, &result] (size_t begin, size_t end) {
decimal c;
c.digits.resize(as + bs);
decimal tmp;
tmp.digits.reserve(bs + end + 1);
for (size_t i = begin; i < end; i++) {
const digit ad = a[i];
if (ad == 0) {
continue;
}
fill(tmp.digits.begin(), tmp.digits.end(), 0);
tmp.digits.resize(bs + i + 1);
digit carry = 0;
for (size_t j = 0; j < bs; j++) {
digit d = b[j] * ad + carry;
carry = d / 10;
tmp[j + i] = d - (carry * 10);
}
if (carry) {
tmp[bs + i] = carry;
} else {
tmp.digits.resize(bs + i);
}
c += tmp;
}
lock_guard<mutex> lock(mx);
result += c;
return 0;
};
vector<future<int>> futures;
futures.reserve(workers);
for (size_t worker = 0; worker < workers; worker++) {
const auto begin = (as * worker) / workers;
const auto end = (as * (worker + 1)) / workers;
futures.emplace_back(async(std::launch::async, partial_product, begin, end));
}
for (size_t worker = 0; worker < workers; worker++) {
auto& future = futures[worker];
future.get();
}
result.remove_lz();
return result;
}