forked from mpusz/mp-units
Fix: 32 bit overflow
../units/src/core/include/units/magnitude.h: In instantiation of 'static constexpr intmax_t units::detail::prime_factorization<N>::get_or_compute_first_factor() [with long long int N = 149597870700; intmax_t = long long int]': ../units/src/core/include/units/magnitude.h:627:74: required from 'constexpr const intmax_t units::detail::prime_factorization<149597870700>::first_base' ../units/src/core/include/units/magnitude.h:632:54: required from 'constexpr const auto units::detail::prime_factorization<149597870700>::value' ../units/src/core/include/units/magnitude.h:631:25: required from 'struct units::detail::prime_factorization<149597870700>' ../units/src/core/include/units/magnitude.h:642:71: required from 'constexpr const auto units::detail::prime_factorization_v<149597870700>' ../units/src/core/include/units/magnitude.h:655:18: required from 'constexpr auto [requires units::Magnitude<<placeholder>, >] units::mag() [with ratio R = ratio{149597870700, 1}]' ../units/src/systems/si/include/units/isq/si/length.h:59:91: required from here ../units/src/core/include/units/magnitude.h:623:70: error: unsigned conversion from 'long long int' to 'std::size_t' {aka 'unsigned int'} changes value from '149597870700' to '3568982636' [-Werror=overflow] 623 | return static_cast<std::intmax_t>(factorizer::find_first_factor(N)); | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~
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@@ -25,15 +25,16 @@
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#include <units/bits/algorithm.h>
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#include <array>
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#include <cstddef>
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#include <cstdint>
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#include <numeric>
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#include <optional>
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#include <tuple>
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namespace units::detail {
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constexpr bool is_prime_by_trial_division(std::size_t n)
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constexpr bool is_prime_by_trial_division(std::uintmax_t n)
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{
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for (std::size_t f = 2; f * f <= n; f += 1 + (f % 2)) {
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for (std::uintmax_t f = 2; f * f <= n; f += 1 + (f % 2)) {
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if (n % f == 0) {
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return false;
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}
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@@ -44,7 +45,7 @@ constexpr bool is_prime_by_trial_division(std::size_t n)
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// Return the first factor of n, as long as it is either k or n.
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//
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// Precondition: no integer smaller than k evenly divides n.
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constexpr std::optional<std::size_t> first_factor_maybe(std::size_t n, std::size_t k)
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constexpr std::optional<std::uintmax_t> first_factor_maybe(std::uintmax_t n, std::uintmax_t k)
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{
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if (n % k == 0) {
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return k;
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@@ -56,9 +57,9 @@ constexpr std::optional<std::size_t> first_factor_maybe(std::size_t n, std::size
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}
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template<std::size_t N>
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constexpr std::array<std::size_t, N> first_n_primes()
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constexpr std::array<std::uintmax_t, N> first_n_primes()
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{
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std::array<std::size_t, N> primes;
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std::array<std::uintmax_t, N> primes;
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primes[0] = 2;
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for (std::size_t i = 1; i < N; ++i) {
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primes[i] = primes[i - 1] + 1;
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@@ -70,9 +71,9 @@ constexpr std::array<std::size_t, N> first_n_primes()
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}
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template<std::size_t N, typename Callable>
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constexpr void call_for_coprimes_up_to(std::size_t n, const std::array<std::size_t, N>& basis, Callable&& call)
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constexpr void call_for_coprimes_up_to(std::uintmax_t n, const std::array<std::uintmax_t, N>& basis, Callable&& call)
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{
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for (std::size_t i = 0u; i < n; ++i) {
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for (std::uintmax_t i = 0u; i < n; ++i) {
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if (std::apply([&i](auto... primes) { return ((i % primes != 0) && ...); }, basis)) {
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call(i);
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}
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@@ -80,7 +81,7 @@ constexpr void call_for_coprimes_up_to(std::size_t n, const std::array<std::size
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}
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template<std::size_t N>
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constexpr std::size_t num_coprimes_up_to(std::size_t n, const std::array<std::size_t, N>& basis)
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constexpr std::size_t num_coprimes_up_to(std::uintmax_t n, const std::array<std::uintmax_t, N>& basis)
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{
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std::size_t count = 0u;
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call_for_coprimes_up_to(n, basis, [&count](auto) { ++count; });
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@@ -88,20 +89,20 @@ constexpr std::size_t num_coprimes_up_to(std::size_t n, const std::array<std::si
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}
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template<std::size_t ResultSize, std::size_t N>
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constexpr auto coprimes_up_to(std::size_t n, const std::array<std::size_t, N>& basis)
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constexpr auto coprimes_up_to(std::size_t n, const std::array<std::uintmax_t, N>& basis)
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{
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std::array<std::size_t, ResultSize> coprimes;
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std::array<std::uintmax_t, ResultSize> coprimes;
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std::size_t i = 0u;
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call_for_coprimes_up_to(n, basis, [&coprimes, &i](std::size_t cp) { coprimes[i++] = cp; });
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call_for_coprimes_up_to(n, basis, [&coprimes, &i](std::uintmax_t cp) { coprimes[i++] = cp; });
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return coprimes;
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}
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template<std::size_t N>
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constexpr std::size_t product(const std::array<std::size_t, N>& values)
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constexpr std::uintmax_t product(const std::array<std::uintmax_t, N>& values)
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{
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std::size_t product = 1;
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std::uintmax_t product = 1;
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for (const auto& v : values) {
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product *= v;
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}
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@@ -130,11 +131,11 @@ constexpr std::size_t product(const std::array<std::size_t, N>& values)
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template<std::size_t BasisSize>
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struct wheel_factorizer {
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static constexpr auto basis = first_n_primes<BasisSize>();
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static constexpr std::size_t wheel_size = product(basis);
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static constexpr auto wheel_size = product(basis);
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static constexpr auto coprimes_in_first_wheel =
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coprimes_up_to<num_coprimes_up_to(wheel_size, basis)>(wheel_size, basis);
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static constexpr std::size_t find_first_factor(std::size_t n)
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static constexpr std::uintmax_t find_first_factor(std::uintmax_t n)
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{
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if (const auto k = detail::get_first_of(basis, [&](auto p) { return first_factor_maybe(n, p); })) return *k;
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