From 4352b8aee98005853aa63f57d6377282de17a33f Mon Sep 17 00:00:00 2001 From: Linus Torvalds Date: Sun, 23 Aug 2026 13:28:57 -0700 Subject: Merge tag 'i3c/for-7.3' of git://git.kernel.org/pub/scm/linux/kernel/git/i3c/linux Pull I3C updates from Alexandre Belloni: "A new driver this cycle, for the AMD AXI I3C controller. There are also new features such as IBI wakeup support, SETAASA device discovery and ACPI support for the the DAA methods, meaning we can now communicate with the SPD devices on DDR5 modules. New driver: - AMD AXI I3C master controller Subsystem: - I3C Common Command Code (CCC) handling improvements, especially around GET CCCs - SETAASA device discovery support - ACPI support for all existing DAA methods like SETDASA, SETNEWDA as well as I2C devices on I3C bus - IBI-based wakeup support Drivers: - dw: SETAASA support - mipi-i3c-hci: advertise IBI wakeup capability, AMD_PT I3C controller support, PIO queue management support for HCI v1.2 - renesas: improve suspend to RAM support, add runtime PM support" * tag 'i3c/for-7.3' of git://git.kernel.org/pub/scm/linux/kernel/git/i3c/linux: (70 commits) i3c: dw: reduce do_daa time if there's no client i3c: mipi-i3c-hci: Add support for AMD_PT I3C controller i3c: mipi-i3c-hci: Add PIO queue management support for HCI v1.2 i3c: mipi-i3c-hci: Fix missing STAT_IBI_STATUS_THLD in PIO mode i3c: dw: rename "pclk" to "apb" to match dt-binding i3c: dw: make struct dw_i3c_cmd smaller i3c: dw: use COMMAND_PORT_TRANSFER_ARG instead of hardcoding i3c: renesas: Don't register devices when ENTDAA times out i3c: master: dw-i3c-master: fix OD timing for first broadcast i3c: mipi-i3c-hci: Advertise IBI wakeup capability i3c: mipi-i3c-hci: Factor out i3c_hci_sysdev() i3c: mipi-i3c-hci-pci: Propagate I3C wakeup requirements to PCI i3c: master: Reject IBI requests from non-IBI-capable devices i3c: master: Add helper to query bus wakeup requirements i3c: master: Report wakeup events for IBIs i3c: master: Support IBI-based wakeup capability i3c: master: Fix potential UAF in i3c_device_match() i3c: master: Fix potential UAF in i3c_device_uevent() i3c: Make dev->desc locking assumptions explicit i3c: master: Fix use-after-free of master->this ... --- lib/math/prime_numbers.c | 262 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 262 insertions(+) create mode 100644 lib/math/prime_numbers.c (limited to 'lib/math/prime_numbers.c') diff --git a/lib/math/prime_numbers.c b/lib/math/prime_numbers.c new file mode 100644 index 000000000..95a6f7960 --- /dev/null +++ b/lib/math/prime_numbers.c @@ -0,0 +1,262 @@ +// SPDX-License-Identifier: GPL-2.0-only + +#include +#include +#include +#include + +#include "prime_numbers_private.h" + +#if BITS_PER_LONG == 64 +static const struct primes small_primes = { + .last = 61, + .sz = 64, + .primes = { + BIT(2) | + BIT(3) | + BIT(5) | + BIT(7) | + BIT(11) | + BIT(13) | + BIT(17) | + BIT(19) | + BIT(23) | + BIT(29) | + BIT(31) | + BIT(37) | + BIT(41) | + BIT(43) | + BIT(47) | + BIT(53) | + BIT(59) | + BIT(61) + } +}; +#elif BITS_PER_LONG == 32 +static const struct primes small_primes = { + .last = 31, + .sz = 32, + .primes = { + BIT(2) | + BIT(3) | + BIT(5) | + BIT(7) | + BIT(11) | + BIT(13) | + BIT(17) | + BIT(19) | + BIT(23) | + BIT(29) | + BIT(31) + } +}; +#else +#error "unhandled BITS_PER_LONG" +#endif + +static DEFINE_MUTEX(lock); +static const struct primes __rcu *primes = RCU_INITIALIZER(&small_primes); + +#if IS_ENABLED(CONFIG_PRIME_NUMBERS_KUNIT_TEST) +/* + * Calls the callback under RCU lock. The callback must not retain + * the primes pointer. + */ +void with_primes(void *ctx, primes_fn fn) +{ + rcu_read_lock(); + fn(ctx, rcu_dereference(primes)); + rcu_read_unlock(); +} +EXPORT_SYMBOL(with_primes); + +EXPORT_SYMBOL(slow_is_prime_number); + +#else +static +#endif +bool slow_is_prime_number(unsigned long x) +{ + unsigned long y = int_sqrt(x); + + while (y > 1) { + if ((x % y) == 0) + break; + y--; + } + + return y == 1; +} + +static unsigned long slow_next_prime_number(unsigned long x) +{ + while (x < ULONG_MAX && !slow_is_prime_number(++x)) + ; + + return x; +} + +static unsigned long clear_multiples(unsigned long x, + unsigned long *p, + unsigned long start, + unsigned long end) +{ + unsigned long m; + + m = 2 * x; + if (m < start) + m = roundup(start, x); + + while (m < end) { + __clear_bit(m, p); + m += x; + } + + return x; +} + +static bool expand_to_next_prime(unsigned long x) +{ + const struct primes *p; + struct primes *new; + unsigned long sz, y; + + /* Betrand's Postulate (or Chebyshev's theorem) states that if n > 3, + * there is always at least one prime p between n and 2n - 2. + * Equivalently, if n > 1, then there is always at least one prime p + * such that n < p < 2n. + * + * http://mathworld.wolfram.com/BertrandsPostulate.html + * https://en.wikipedia.org/wiki/Bertrand's_postulate + */ + sz = 2 * x; + if (sz < x) + return false; + + sz = round_up(sz, BITS_PER_LONG); + new = kmalloc(sizeof(*new) + bitmap_size(sz), + GFP_KERNEL | __GFP_NOWARN); + if (!new) + return false; + + mutex_lock(&lock); + p = rcu_dereference_protected(primes, lockdep_is_held(&lock)); + if (x < p->last) { + kfree(new); + goto unlock; + } + + /* Where memory permits, track the primes using the + * Sieve of Eratosthenes. The sieve is to remove all multiples of known + * primes from the set, what remains in the set is therefore prime. + */ + bitmap_fill(new->primes, sz); + bitmap_copy(new->primes, p->primes, p->sz); + for (y = 2UL; y < sz; y = find_next_bit(new->primes, sz, y + 1)) + new->last = clear_multiples(y, new->primes, p->sz, sz); + new->sz = sz; + + BUG_ON(new->last <= x); + + rcu_assign_pointer(primes, new); + if (p != &small_primes) + kfree_rcu((struct primes *)p, rcu); + +unlock: + mutex_unlock(&lock); + return true; +} + +static void free_primes(void) +{ + const struct primes *p; + + mutex_lock(&lock); + p = rcu_dereference_protected(primes, lockdep_is_held(&lock)); + if (p != &small_primes) { + rcu_assign_pointer(primes, &small_primes); + kfree_rcu((struct primes *)p, rcu); + } + mutex_unlock(&lock); +} + +/** + * next_prime_number - return the next prime number + * @x: the starting point for searching to test + * + * A prime number is an integer greater than 1 that is only divisible by + * itself and 1. The set of prime numbers is computed using the Sieve of + * Eratoshenes (on finding a prime, all multiples of that prime are removed + * from the set) enabling a fast lookup of the next prime number larger than + * @x. If the sieve fails (memory limitation), the search falls back to using + * slow trial-divison, up to the value of ULONG_MAX (which is reported as the + * final prime as a sentinel). + * + * Returns: the next prime number larger than @x + */ +unsigned long next_prime_number(unsigned long x) +{ + const struct primes *p; + + rcu_read_lock(); + p = rcu_dereference(primes); + while (x >= p->last) { + rcu_read_unlock(); + + if (!expand_to_next_prime(x)) + return slow_next_prime_number(x); + + rcu_read_lock(); + p = rcu_dereference(primes); + } + x = find_next_bit(p->primes, p->last, x + 1); + rcu_read_unlock(); + + return x; +} +EXPORT_SYMBOL(next_prime_number); + +/** + * is_prime_number - test whether the given number is prime + * @x: the number to test + * + * A prime number is an integer greater than 1 that is only divisible by + * itself and 1. Internally a cache of prime numbers is kept (to speed up + * searching for sequential primes, see next_prime_number()), but if the number + * falls outside of that cache, its primality is tested using trial-divison. + * + * Returns: true if @x is prime, false for composite numbers. + */ +bool is_prime_number(unsigned long x) +{ + const struct primes *p; + bool result; + + rcu_read_lock(); + p = rcu_dereference(primes); + while (x >= p->sz) { + rcu_read_unlock(); + + if (!expand_to_next_prime(x)) + return slow_is_prime_number(x); + + rcu_read_lock(); + p = rcu_dereference(primes); + } + result = test_bit(x, p->primes); + rcu_read_unlock(); + + return result; +} +EXPORT_SYMBOL(is_prime_number); + +static void __exit primes_exit(void) +{ + free_primes(); +} + +module_exit(primes_exit); + +MODULE_AUTHOR("Intel Corporation"); +MODULE_DESCRIPTION("Prime number library"); +MODULE_LICENSE("GPL"); -- cgit v1.3.1