DPDK patches and discussions
 help / color / mirror / Atom feed
From: "Mattias Rönnblom" <mattias.ronnblom@ericsson.com>
To: <dev@dpdk.org>
Cc: stephen@networkplumber.org,
	"Mattias Rönnblom" <mattias.ronnblom@ericsson.com>
Subject: [dpdk-dev] [RFC v2 1/2] eal: replace libc-based random number generation with LFSR
Date: Fri, 19 Apr 2019 23:21:37 +0200	[thread overview]
Message-ID: <20190419212138.17422-2-mattias.ronnblom@ericsson.com> (raw)
In-Reply-To: <20190419212138.17422-1-mattias.ronnblom@ericsson.com>

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)
+{
+	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;
 };
-- 
2.17.1

  parent reply	other threads:[~2019-04-19 21:21 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           ` Mattias Rönnblom [this message]
2019-04-19 21:21             ` [dpdk-dev] [RFC v2 1/2] eal: replace libc-based random number generation with LFSR Mattias Rönnblom
2019-04-22 11:34             ` Neil Horman
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

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to=20190419212138.17422-2-mattias.ronnblom@ericsson.com \
    --to=mattias.ronnblom@ericsson.com \
    --cc=dev@dpdk.org \
    --cc=stephen@networkplumber.org \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).