From: Neil Horman <nhorman@tuxdriver.com>
To: "Mattias Rönnblom" <mattias.ronnblom@ericsson.com>
Cc: dev@dpdk.org, stephen@networkplumber.org
Subject: Re: [dpdk-dev] [RFC v2 1/2] eal: replace libc-based random number generation with LFSR
Date: Mon, 22 Apr 2019 07:34:20 -0400 [thread overview]
Message-ID: <20190422113420.GA22056@hmswarspite.think-freely.org> (raw)
Message-ID: <20190422113420.vGE8SdN46jxaCs_dFc67jHYhx-Upg1abeQzwu5tTYBs@z> (raw)
In-Reply-To: <20190419212138.17422-2-mattias.ronnblom@ericsson.com>
On Fri, Apr 19, 2019 at 11:21:37PM +0200, Mattias Rönnblom wrote:
> This commit replaces rte_rand()'s use of lrand48() with a DPDK-native
> combined Linear Feedback Shift Register (LFSR) (also known as
> Tausworthe) pseudo-number generator, with five sequences.
>
> This generator is faster and produces better quality random numbers
> than libc's lrand48() implementation. This implementation, as opposed
> to lrand48(), is multi-thread safe in regards to concurrent rte_rand()
> calls from different lcore threads. It is not cryptographically
> secure - just like lrand48().
>
> Signed-off-by: Mattias Rönnblom <mattias.ronnblom@ericsson.com>
> ---
> lib/librte_eal/common/include/rte_random.h | 29 ++---
> lib/librte_eal/common/meson.build | 1 +
> lib/librte_eal/common/rte_random.c | 137 +++++++++++++++++++++
> lib/librte_eal/freebsd/eal/Makefile | 1 +
> lib/librte_eal/freebsd/eal/eal.c | 2 -
> lib/librte_eal/linux/eal/Makefile | 1 +
> lib/librte_eal/linux/eal/eal.c | 2 -
> lib/librte_eal/rte_eal_version.map | 2 +
> 8 files changed, 153 insertions(+), 22 deletions(-)
> create mode 100644 lib/librte_eal/common/rte_random.c
>
> diff --git a/lib/librte_eal/common/include/rte_random.h b/lib/librte_eal/common/include/rte_random.h
> index b2ca1c209..66dfe8ae7 100644
> --- a/lib/librte_eal/common/include/rte_random.h
> +++ b/lib/librte_eal/common/include/rte_random.h
> @@ -16,7 +16,6 @@ extern "C" {
> #endif
>
> #include <stdint.h>
> -#include <stdlib.h>
>
> /**
> * Seed the pseudo-random generator.
> @@ -25,34 +24,28 @@ extern "C" {
> * value. It may need to be re-seeded by the user with a real random
> * value.
> *
> + * This function is not multi-thread safe in regards to other
> + * rte_srand() calls, nor is it in relation to concurrent rte_rand()
> + * calls.
> + *
> * @param seedval
> * The value of the seed.
> */
> -static inline void
> -rte_srand(uint64_t seedval)
> -{
> - srand48((long)seedval);
> -}
> +void
> +rte_srand(uint64_t seedval);
>
> /**
> * Get a pseudo-random value.
> *
> - * This function generates pseudo-random numbers using the linear
> - * congruential algorithm and 48-bit integer arithmetic, called twice
> - * to generate a 64-bit value.
> + * The generator is not cryptographically secure.
> + *
> + * If called from lcore threads, this function is thread-safe.
> *
> * @return
> * A pseudo-random value between 0 and (1<<64)-1.
> */
> -static inline uint64_t
> -rte_rand(void)
> -{
> - uint64_t val;
> - val = (uint64_t)lrand48();
> - val <<= 32;
> - val += (uint64_t)lrand48();
> - return val;
> -}
> +uint64_t
> +rte_rand(void);
>
> #ifdef __cplusplus
> }
> diff --git a/lib/librte_eal/common/meson.build b/lib/librte_eal/common/meson.build
> index 0670e4102..bafd23207 100644
> --- a/lib/librte_eal/common/meson.build
> +++ b/lib/librte_eal/common/meson.build
> @@ -35,6 +35,7 @@ common_sources = files(
> 'rte_keepalive.c',
> 'rte_malloc.c',
> 'rte_option.c',
> + 'rte_random.c',
> 'rte_reciprocal.c',
> 'rte_service.c'
> )
> diff --git a/lib/librte_eal/common/rte_random.c b/lib/librte_eal/common/rte_random.c
> new file mode 100644
> index 000000000..288e7b8c5
> --- /dev/null
> +++ b/lib/librte_eal/common/rte_random.c
> @@ -0,0 +1,137 @@
> +/* SPDX-License-Identifier: BSD-3-Clause
> + * Copyright(c) 2019 Ericsson AB
> + */
> +
> +#include <stdlib.h>
> +
> +#include <rte_cycles.h>
> +#include <rte_eal.h>
> +#include <rte_lcore.h>
> +#include <rte_random.h>
> +
> +struct rte_rand_state {
> + uint64_t z1;
> + uint64_t z2;
> + uint64_t z3;
> + uint64_t z4;
> + uint64_t z5;
> +} __rte_cache_aligned;
> +
> +static struct rte_rand_state rand_states[RTE_MAX_LCORE];
> +
> +static uint32_t
> +__rte_rand_lcg32(uint32_t *seed)
> +{
> + *seed = 1103515245U * *seed + 12345U;
> +
> + return *seed;
> +}
> +
> +static uint64_t
> +__rte_rand_lcg64(uint32_t *seed)
> +{
> + uint64_t low;
> + uint64_t high;
> +
> + /* A 64-bit LCG would have been much cleaner, but well-known
> + * good multiplier/increments seem hard to come by.
> + */
> +
> + low = __rte_rand_lcg32(seed);
> + high = __rte_rand_lcg32(seed);
> +
> + return low | (high << 32);
> +}
> +
> +static uint64_t
> +__rte_rand_lfsr258_gen_seed(uint32_t *seed, uint64_t min_value)
> +{
> + uint64_t res;
> +
> + res = __rte_rand_lcg64(seed);
> +
> + if (res < min_value)
> + res += min_value;
> +
> + return res;
> +}
> +
> +static void
> +__rte_srand_lfsr258(uint64_t seed, struct rte_rand_state *state)
> +{
> + uint32_t lcg_seed;
> +
> + lcg_seed = (uint32_t)(seed ^ (seed >> 32));
> +
> + state->z1 = __rte_rand_lfsr258_gen_seed(&lcg_seed, 2UL);
> + state->z2 = __rte_rand_lfsr258_gen_seed(&lcg_seed, 512UL);
> + state->z3 = __rte_rand_lfsr258_gen_seed(&lcg_seed, 4096UL);
> + state->z4 = __rte_rand_lfsr258_gen_seed(&lcg_seed, 131072UL);
> + state->z5 = __rte_rand_lfsr258_gen_seed(&lcg_seed, 8388608UL);
> +}
> +
> +void __rte_experimental
> +rte_srand(uint64_t seed)
> +{
> + unsigned int lcore_id;
> +
> + /* add lcore_id to seed to avoid having the same sequence */
> + for (lcore_id = 0; lcore_id < RTE_MAX_LCORE; lcore_id++)
> + __rte_srand_lfsr258(seed + lcore_id, &rand_states[lcore_id]);
> +}
> +
> +static __rte_always_inline uint64_t
> +__rte_rand_lfsr258_comp(uint64_t z, uint64_t a, uint64_t b, uint64_t c,
> + uint64_t d)
> +{
> + return ((z & c) << d) ^ (((z << a) ^ z) >> b);
> +}
> +
> +/* Based on L’Ecuyer, P.: Tables of maximally equidistributed combined
> + * LFSR generators.
> + */
> +
> +static __rte_always_inline uint64_t
> +__rte_rand_lfsr258(struct rte_rand_state *state)
> +{
> + state->z1 = __rte_rand_lfsr258_comp(state->z1, 1UL, 53UL,
> + 18446744073709551614UL, 10UL);
> + state->z2 = __rte_rand_lfsr258_comp(state->z2, 24UL, 50UL,
> + 18446744073709551104UL, 5UL);
> + state->z3 = __rte_rand_lfsr258_comp(state->z3, 3UL, 23UL,
> + 18446744073709547520UL, 29UL);
> + state->z4 = __rte_rand_lfsr258_comp(state->z4, 5UL, 24UL,
> + 18446744073709420544UL, 23UL);
> + state->z5 = __rte_rand_lfsr258_comp(state->z5, 3UL, 33UL,
> + 18446744073701163008UL, 8UL);
> +
> + return state->z1 ^ state->z2 ^ state->z3 ^ state->z4 ^ state->z5;
> +}
> +
> +static __rte_always_inline
> +struct rte_rand_state *__rte_rand_get_state(void)
> +{
> + unsigned int lcore_id;
> +
> + lcore_id = rte_lcore_id();
> +
> + if (unlikely(lcore_id == LCORE_ID_ANY))
> + lcore_id = rte_get_master_lcore();
> +
> + return &rand_states[lcore_id];
> +}
> +
> +uint64_t __rte_experimental
> +rte_rand(void)
Do you really want to mark this as experimental? I know it will trigger the
symbol checker with a warning if you don't, but this function already existed
previously and was accepted as part of the ABI. Given that the prototype hasn't
changed, I think you just need to accept it as a non-experimental function
> +{
> + struct rte_rand_state *state;
> +
> + state = __rte_rand_get_state();
> +
> + return __rte_rand_lfsr258(state);
> +}
> +
> +RTE_INIT(rte_rand_init)
> +{
> + rte_srand(rte_get_timer_cycles());
> +}
> diff --git a/lib/librte_eal/freebsd/eal/Makefile b/lib/librte_eal/freebsd/eal/Makefile
> index 19854ee2c..ca616c480 100644
> --- a/lib/librte_eal/freebsd/eal/Makefile
> +++ b/lib/librte_eal/freebsd/eal/Makefile
> @@ -69,6 +69,7 @@ SRCS-$(CONFIG_RTE_EXEC_ENV_FREEBSD) += malloc_mp.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_FREEBSD) += rte_keepalive.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_FREEBSD) += rte_option.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_FREEBSD) += rte_service.c
> +SRCS-$(CONFIG_RTE_EXEC_ENV_FREEBSD) += rte_random.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_FREEBSD) += rte_reciprocal.c
>
> # from arch dir
> diff --git a/lib/librte_eal/freebsd/eal/eal.c b/lib/librte_eal/freebsd/eal/eal.c
> index c6ac9028f..5d43310b3 100644
> --- a/lib/librte_eal/freebsd/eal/eal.c
> +++ b/lib/librte_eal/freebsd/eal/eal.c
> @@ -727,8 +727,6 @@ rte_eal_init(int argc, char **argv)
> #endif
> }
>
> - rte_srand(rte_rdtsc());
> -
> /* in secondary processes, memory init may allocate additional fbarrays
> * not present in primary processes, so to avoid any potential issues,
> * initialize memzones first.
> diff --git a/lib/librte_eal/linux/eal/Makefile b/lib/librte_eal/linux/eal/Makefile
> index 6e5261152..729795a10 100644
> --- a/lib/librte_eal/linux/eal/Makefile
> +++ b/lib/librte_eal/linux/eal/Makefile
> @@ -77,6 +77,7 @@ SRCS-$(CONFIG_RTE_EXEC_ENV_LINUX) += malloc_mp.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_LINUX) += rte_keepalive.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_LINUX) += rte_option.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_LINUX) += rte_service.c
> +SRCS-$(CONFIG_RTE_EXEC_ENV_LINUX) += rte_random.c
> SRCS-$(CONFIG_RTE_EXEC_ENV_LINUX) += rte_reciprocal.c
>
> # from arch dir
> diff --git a/lib/librte_eal/linux/eal/eal.c b/lib/librte_eal/linux/eal/eal.c
> index f7ae62d7b..c2bdf0a67 100644
> --- a/lib/librte_eal/linux/eal/eal.c
> +++ b/lib/librte_eal/linux/eal/eal.c
> @@ -1083,8 +1083,6 @@ rte_eal_init(int argc, char **argv)
> #endif
> }
>
> - rte_srand(rte_rdtsc());
> -
> if (rte_eal_log_init(logid, internal_config.syslog_facility) < 0) {
> rte_eal_init_alert("Cannot init logging.");
> rte_errno = ENOMEM;
> diff --git a/lib/librte_eal/rte_eal_version.map b/lib/librte_eal/rte_eal_version.map
> index d6e375135..0d60668fa 100644
> --- a/lib/librte_eal/rte_eal_version.map
> +++ b/lib/librte_eal/rte_eal_version.map
> @@ -366,10 +366,12 @@ EXPERIMENTAL {
> rte_mp_request_async;
> rte_mp_sendmsg;
> rte_option_register;
> + rte_rand;
> rte_realloc_socket;
> rte_service_lcore_attr_get;
> rte_service_lcore_attr_reset_all;
> rte_service_may_be_active;
> rte_socket_count;
> rte_socket_id_by_idx;
> + rte_srand;
> };
next prev parent reply other threads:[~2019-04-22 11:35 UTC|newest]
Thread overview: 137+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-04-05 13:45 [dpdk-dev] [RFC] eal: make rte_rand() MT safe Mattias Rönnblom
2019-04-05 13:45 ` Mattias Rönnblom
2019-04-05 13:51 ` Mattias Rönnblom
2019-04-05 13:51 ` Mattias Rönnblom
2019-04-05 14:28 ` Bruce Richardson
2019-04-05 14:28 ` Bruce Richardson
2019-04-05 14:56 ` Mattias Rönnblom
2019-04-05 14:56 ` Mattias Rönnblom
2019-04-05 16:57 ` Stephen Hemminger
2019-04-05 16:57 ` Stephen Hemminger
2019-04-05 18:04 ` Mattias Rönnblom
2019-04-05 18:04 ` Mattias Rönnblom
2019-04-05 20:50 ` Stephen Hemminger
2019-04-05 20:50 ` Stephen Hemminger
2019-04-06 5:52 ` Mattias Rönnblom
2019-04-06 5:52 ` Mattias Rönnblom
2019-04-08 12:30 ` [dpdk-dev] [RFC 1/3] Replace lrand48-based rte_rand with LFSR generator Mattias Rönnblom
2019-04-08 12:30 ` Mattias Rönnblom
2019-04-08 12:30 ` [dpdk-dev] [RFC 2/3] Add 32-bit version of rte_rand Mattias Rönnblom
2019-04-08 12:30 ` Mattias Rönnblom
2019-04-08 12:30 ` [dpdk-dev] [RFC 3/3] Introduce random generator functions with upper bound Mattias Rönnblom
2019-04-08 12:30 ` Mattias Rönnblom
2019-04-08 12:47 ` [dpdk-dev] [RFC 1/3] Replace lrand48-based rte_rand with LFSR generator Mattias Rönnblom
2019-04-08 12:47 ` Mattias Rönnblom
2019-04-19 21:21 ` [dpdk-dev] [RFC v2 0/2] Pseudo-number generation improvements Mattias Rönnblom
2019-04-19 21:21 ` Mattias Rönnblom
2019-04-19 21:21 ` [dpdk-dev] [RFC v2 1/2] eal: replace libc-based random number generation with LFSR Mattias Rönnblom
2019-04-19 21:21 ` Mattias Rönnblom
2019-04-22 11:34 ` Neil Horman [this message]
2019-04-22 11:34 ` Neil Horman
2019-04-22 14:49 ` Stephen Hemminger
2019-04-22 14:49 ` Stephen Hemminger
2019-04-22 15:52 ` Mattias Rönnblom
2019-04-22 15:52 ` Mattias Rönnblom
2019-04-22 17:44 ` Mattias Rönnblom
2019-04-22 17:44 ` Mattias Rönnblom
2019-04-23 11:33 ` Neil Horman
2019-04-23 11:33 ` Neil Horman
2019-04-23 17:13 ` Mattias Rönnblom
2019-04-23 17:13 ` Mattias Rönnblom
2019-04-24 11:37 ` Neil Horman
2019-04-24 11:37 ` Neil Horman
2019-04-23 15:31 ` Stephen Hemminger
2019-04-23 15:31 ` Stephen Hemminger
2019-04-23 17:17 ` Mattias Rönnblom
2019-04-23 17:17 ` Mattias Rönnblom
2019-04-24 7:52 ` Mattias Rönnblom
2019-04-24 7:52 ` Mattias Rönnblom
2019-04-24 12:33 ` [dpdk-dev] [RFC v3 0/2] Pseudo-random number generation improvements Mattias Rönnblom
2019-04-24 12:33 ` Mattias Rönnblom
2019-04-24 12:33 ` [dpdk-dev] [RFC v3 1/2] eal: replace libc-based random number generation with LFSR Mattias Rönnblom
2019-04-24 12:33 ` Mattias Rönnblom
2019-05-08 20:12 ` Stephen Hemminger
2019-05-08 20:12 ` Stephen Hemminger
2019-05-08 20:30 ` Mattias Rönnblom
2019-05-08 20:30 ` Mattias Rönnblom
2019-05-09 1:10 ` Stephen Hemminger
2019-05-09 1:10 ` Stephen Hemminger
2019-05-14 9:20 ` [dpdk-dev] [PATCH 0/6] Pseudo-random number generation improvements Mattias Rönnblom
2019-05-14 9:20 ` Mattias Rönnblom
2019-05-14 9:20 ` [dpdk-dev] [PATCH 1/6] eal: replace libc-based random number generation with LFSR Mattias Rönnblom
2019-05-14 9:20 ` Mattias Rönnblom
2019-05-14 9:32 ` Mattias Rönnblom
2019-05-14 9:32 ` Mattias Rönnblom
2019-05-14 14:16 ` Neil Horman
2019-05-14 14:16 ` Neil Horman
2019-05-14 14:53 ` Mattias Rönnblom
2019-05-14 14:53 ` Mattias Rönnblom
2019-05-17 19:27 ` Neil Horman
2019-05-17 20:57 ` Bruce Richardson
2019-05-17 21:10 ` Mattias Rönnblom
2019-05-19 18:32 ` Neil Horman
2019-05-14 15:27 ` Stephen Hemminger
2019-05-14 15:27 ` Stephen Hemminger
2019-05-14 9:20 ` [dpdk-dev] [PATCH 2/6] eal: add pseudo-random number generation performance test Mattias Rönnblom
2019-05-14 9:20 ` Mattias Rönnblom
2019-05-14 9:20 ` [dpdk-dev] [PATCH 3/6] eal: improve entropy for initial PRNG seed Mattias Rönnblom
2019-05-14 9:20 ` Mattias Rönnblom
2019-05-14 9:36 ` Mattias Rönnblom
2019-05-14 9:36 ` Mattias Rönnblom
2019-05-14 9:39 ` Bruce Richardson
2019-05-14 9:39 ` Bruce Richardson
2019-05-14 11:58 ` Mattias Rönnblom
2019-05-14 11:58 ` Mattias Rönnblom
2019-05-14 9:37 ` Bruce Richardson
2019-05-14 9:37 ` Bruce Richardson
2019-05-14 9:20 ` [dpdk-dev] [PATCH 4/6] eal: introduce random generator function with upper bound Mattias Rönnblom
2019-05-14 9:20 ` Mattias Rönnblom
2019-05-14 9:20 ` [dpdk-dev] [PATCH 5/6] eal: add bounded PRNG performance tests Mattias Rönnblom
2019-05-14 9:20 ` Mattias Rönnblom
2019-05-14 9:20 ` [dpdk-dev] [PATCH 6/6] eal: add pseudo-random number generation to MAINTAINERS Mattias Rönnblom
2019-05-14 9:20 ` Mattias Rönnblom
2019-05-16 17:55 ` [dpdk-dev] [PATCH v2 0/6] Pseudo-random number generation improvements Mattias Rönnblom
2019-05-16 17:55 ` [dpdk-dev] [PATCH v2 1/6] eal: replace libc-based random number generation with LFSR Mattias Rönnblom
2019-05-16 17:55 ` [dpdk-dev] [PATCH v2 2/6] eal: add pseudo-random number generation performance test Mattias Rönnblom
2019-05-16 17:55 ` [dpdk-dev] [PATCH v2 3/6] eal: improve entropy for initial PRNG seed Mattias Rönnblom
2019-05-16 17:55 ` [dpdk-dev] [PATCH v2 4/6] eal: introduce random generator function with upper bound Mattias Rönnblom
2019-05-16 17:55 ` [dpdk-dev] [PATCH v2 5/6] eal: add bounded PRNG performance tests Mattias Rönnblom
2019-05-16 17:55 ` [dpdk-dev] [PATCH v2 6/6] eal: add PRNG to MAINTAINERS and release notes Mattias Rönnblom
2019-05-16 20:35 ` [dpdk-dev] [PATCH v2 0/6] Pseudo-random number generation improvements Bruce Richardson
2019-06-05 10:43 ` [dpdk-dev] [PATCH v3 " Mattias Rönnblom
2019-06-05 10:43 ` [dpdk-dev] [PATCH v3 1/6] eal: replace libc-based random number generation with LFSR Mattias Rönnblom
2019-06-05 10:43 ` [dpdk-dev] [PATCH v3 2/6] eal: add pseudo-random number generation performance test Mattias Rönnblom
2019-06-27 21:23 ` Thomas Monjalon
2019-06-28 8:20 ` Mattias Rönnblom
2019-06-05 10:43 ` [dpdk-dev] [PATCH v3 3/6] eal: improve entropy for initial PRNG seed Mattias Rönnblom
2019-06-05 10:43 ` [dpdk-dev] [PATCH v3 4/6] eal: introduce random generator function with upper bound Mattias Rönnblom
2019-06-05 10:43 ` [dpdk-dev] [PATCH v3 5/6] eal: add bounded PRNG performance tests Mattias Rönnblom
2019-06-05 10:44 ` [dpdk-dev] [PATCH v3 6/6] eal: add PRNG to MAINTAINERS and release notes Mattias Rönnblom
2019-06-27 21:27 ` Thomas Monjalon
2019-06-28 8:17 ` Mattias Rönnblom
2019-06-15 12:23 ` [dpdk-dev] [PATCH v3 0/6] Pseudo-random number generation improvements Mattias Rönnblom
2019-06-28 9:01 ` [dpdk-dev] [PATCH v4 0/5] " Mattias Rönnblom
2019-06-28 9:01 ` [dpdk-dev] [PATCH v4 1/5] eal: replace libc-based random number generation with LFSR Mattias Rönnblom
2019-06-28 9:01 ` [dpdk-dev] [PATCH v4 2/5] eal: add pseudo-random number generation performance test Mattias Rönnblom
2019-06-28 9:01 ` [dpdk-dev] [PATCH v4 3/5] eal: improve entropy for initial PRNG seed Mattias Rönnblom
2019-06-28 19:01 ` Ferruh Yigit
2019-06-28 20:58 ` Mattias Rönnblom
2019-06-28 21:08 ` [dpdk-dev] [PATCH] eal: use 32-bit RDSEED to allow 32-bit x86 usage Mattias Rönnblom
2019-06-29 12:54 ` Thomas Monjalon
2019-06-28 9:01 ` [dpdk-dev] [PATCH v4 4/5] eal: introduce random generator function with upper bound Mattias Rönnblom
2019-06-28 9:01 ` [dpdk-dev] [PATCH v4 5/5] eal: add bounded PRNG performance tests Mattias Rönnblom
2019-06-28 13:24 ` [dpdk-dev] [PATCH v4 0/5] Pseudo-random number generation improvements Thomas Monjalon
2019-04-24 12:33 ` [dpdk-dev] [RFC v3 2/2] eal: introduce random generator function with upper bound Mattias Rönnblom
2019-04-24 12:33 ` Mattias Rönnblom
2019-04-19 21:21 ` [dpdk-dev] [RFC v2 " Mattias Rönnblom
2019-04-19 21:21 ` Mattias Rönnblom
2019-04-20 21:08 ` Wiles, Keith
2019-04-20 21:08 ` Wiles, Keith
2019-04-21 19:05 ` Mattias Rönnblom
2019-04-21 19:05 ` Mattias Rönnblom
2019-04-22 4:33 ` Wiles, Keith
2019-04-22 4:33 ` Wiles, Keith
2019-04-22 7:07 ` Mattias Rönnblom
2019-04-22 7:07 ` Mattias Rönnblom
2019-04-22 13:19 ` Wiles, Keith
2019-04-22 13:19 ` Wiles, Keith
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