From 0ce52cde658a9b91b69519ddb838bd7c4b6babf0 Mon Sep 17 00:00:00 2001 From: "Edward A. Lee" Date: Sun, 24 Sep 2023 19:10:00 +0200 Subject: [PATCH] Added illustrations of the CAL theorem --- examples/C/src/distributed/CAL.lf | 81 +++++++++++++++++ .../C/src/distributed/CALDecentralized.lf | 86 ++++++++++++++++++ examples/C/src/distributed/README.md | 17 +++- examples/C/src/distributed/img/CAL.png | Bin 0 -> 461762 bytes .../src/distributed/img/CALDecentralized.png | Bin 0 -> 471991 bytes 5 files changed, 180 insertions(+), 4 deletions(-) create mode 100644 examples/C/src/distributed/CAL.lf create mode 100644 examples/C/src/distributed/CALDecentralized.lf create mode 100644 examples/C/src/distributed/img/CAL.png create mode 100644 examples/C/src/distributed/img/CALDecentralized.png diff --git a/examples/C/src/distributed/CAL.lf b/examples/C/src/distributed/CAL.lf new file mode 100644 index 00000000..0de974cf --- /dev/null +++ b/examples/C/src/distributed/CAL.lf @@ -0,0 +1,81 @@ +/** + * This program illustrates how relaxing consistency improves availability, as predicted by the CAL + * Theorem reported in the following paper: + * + * Edward A. Lee, Ravi Akella, Soroush Bateni, Shaokai Lin, Marten Lohstroh, Christian Menard. + * "Consistency vs. Availability in Distributed Cyber-Physical Systems". ACM Transactions on + * Embedded Computing Systems (TECS), September 2023. https://dl.acm.org/doi/10.1145/3609119 + * + * This program has two `Sense` sources of events, `s1` and `s2`, with periods 500ms and 1s + * respectively. The `s1` output is processed by the `Process` reactor, which takes at least 35ms to + * process the data (emulated by sleeping). As a consequence of this processing latency, were it not + * for the 200ms `after` delay, the 30ms deadline of the `Actuate` reactor would be violated every + * time. The deadline is on the second reaction, which cannot be invoked before the first reaction + * when both reactions are enabled. + * + * The deadline is an availability requirement, the `after` delay is a tolerance for inconsistency, + * and the 35ms processing time is a latency. As long as the actual latency is not greater than the + * 200ms tolerance for inconsistency plus the 30ms tolerance for unavailability, then availability + * requirement will be met. + * + * Removing or reducing the after delay strengthens consistency but causes deadline violations. + * + * This program uses centralized coordination, so if the processing latency plus communication + * latency exceeds the 200ms tolerance for inconsistency and the 30ms tolerance for unavailability + * (the deadline), then the coordinator will preserve consistency at the expense of availability. + * + * @author Edward A. Lee + */ +target C { + coordination: centralized +} + +preamble {= + #include "platform.h" +=} + +reactor Sense(period: time = 500 ms) { + state count: int = 1 + output out: int + timer t(period, period) + + reaction(t) -> out {= + lf_set(out, self->count++); + =} +} + +reactor Process { + input in: int + output out: int + + reaction(in) -> out {= + lf_sleep(MSEC(35)); + lf_set(out, in->value * 2); + =} +} + +reactor Actuate { + input in1: int + input in2: int + + reaction(in1) {= + printf(PRINTF_TIME ": Received %d\n", lf_time_logical_elapsed(), in1->value); + =} + + reaction(in2) {= + printf(PRINTF_TIME ": Second input: %d\n", lf_time_logical_elapsed(), in2->value); + =} deadline(30 ms) {= + printf(PRINTF_TIME ": Second input: %d ", lf_time_logical_elapsed(), in2->value); + printf("PANIC! Deadline violated!\n"); + =} +} + +federated reactor { + s1 = new Sense(period = 500 ms) + s2 = new Sense(period = 1 s) + c1 = new Process() + a = new Actuate() + s1.out -> c1.in + c1.out -> a.in1 after 200 ms + s2.out -> a.in2 +} diff --git a/examples/C/src/distributed/CALDecentralized.lf b/examples/C/src/distributed/CALDecentralized.lf new file mode 100644 index 00000000..e967452b --- /dev/null +++ b/examples/C/src/distributed/CALDecentralized.lf @@ -0,0 +1,86 @@ +/** + * This program illustrates how relaxing consistency improves availability, as predicted by the CAL + * Theorem reported in the following paper: + * + * Edward A. Lee, Ravi Akella, Soroush Bateni, Shaokai Lin, Marten Lohstroh, Christian Menard. + * "Consistency vs. Availability in Distributed Cyber-Physical Systems". ACM Transactions on + * Embedded Computing Systems (TECS), September 2023. https://dl.acm.org/doi/10.1145/3609119 + * + * This program has two `Sense` sources of events, `s1` and `s2`, with periods 500ms and 1s + * respectively. The `s1` output is processed by the `Process` reactor, which takes at least 35ms to + * process the data (emulated by sleeping). As a consequence of this processing delay, were it not + * for the 200ms `after` delay, the 30ms deadline of the `Actuate` reactor would be violated every + * time. The deadline is on the second reaction, which cannot be invoked before the first reaction + * when both reactions are enabled. + * + * The deadline is an availability requirement, the `after` delay is a tolerance for inconsistency, + * and the 35ms processing time is a latency. As long as the actual latency is not greater than the + * 200ms tolerance for inconsistency plus the 30ms tolerance for unavailability, then availability + * requirement will be met. + * + * Removing or reducing the after delay strengthens consistency but causes deadline violations. + * + * This program uses decentralized coordination, so if the processing latency plus communication + * latency exceeds the 200ms tolerance for inconsistency plus the 30ms tolerance for unavailability + * (the deadline), then the coordinator will preserve availability at the expense of consistency. If + * you remove the 200ms `after` delay, however, then you will need to increase the STP offset in the + * `Actuate` reactor to get proper decentralized control. Any number significantly larger than the + * 35ms processing latency should be sufficient to prevent STP violations. + * + * @author Edward A. Lee + */ +target C { + coordination: decentralized +} + +preamble {= + #include "platform.h" +=} + +reactor Sense(period: time = 500 ms) { + state count: int = 1 + output out: int + timer t(period, period) + + reaction(t) -> out {= + lf_set(out, self->count++); + =} +} + +reactor Process { + input in: int + output out: int + + reaction(in) -> out {= + lf_sleep(MSEC(35)); + lf_set(out, in->value * 2); + =} +} + +reactor Actuate { + input in1: int + input in2: int + + reaction(in1) {= + printf(PRINTF_TIME ": Received %d\n", lf_time_logical_elapsed(), in1->value); + =} STP(10 ms) {= + printf(PRINTF_TIME ": STP violation! Received %d\n", lf_time_logical_elapsed(), in1->value); + =} + + reaction(in2) {= + printf(PRINTF_TIME ": Second input: %d\n", lf_time_logical_elapsed(), in2->value); + =} deadline(30 ms) {= + printf(PRINTF_TIME ": Second input: %d ", lf_time_logical_elapsed(), in2->value); + printf("PANIC! Deadline violated!\n"); + =} +} + +federated reactor { + s1 = new Sense(period = 500 ms) + s2 = new Sense(period = 1 s) + c1 = new Process() + a = new Actuate() + s1.out -> c1.in + c1.out -> a.in1 after 200 ms + s2.out -> a.in2 +} diff --git a/examples/C/src/distributed/README.md b/examples/C/src/distributed/README.md index 231e385a..1ec4196a 100644 --- a/examples/C/src/distributed/README.md +++ b/examples/C/src/distributed/README.md @@ -15,23 +15,32 @@ To run these programs, you are required to first [install the RTI](https://www.l HelloWorld HelloWorld.lf : A MessageGenerator produces a string and sends it over a network connection to a PrintMessage reactor that prints the message. + HelloWorldAfter HelloWorldAfter.lf : A variant with a logical time delay on the connection. - + HelloWorldDecentralized HelloWorldDecentralized.lf : A variant that uses decentralized coordination, which relies and clock synchronization. This version uses an **after** delay. - + HelloWorldDecentralizedSTP HelloWorldDecentralizedSTP.lf : A decentralized variant that uses a safe-to-process (STP) offset instead of an **after** delay. - + HelloWorldPhysical HelloWorldPhysical.lf : A variant with physical connection. - + HelloWorldPhysicalAfter HelloWorldPhysicalAfter.lf : A variant with a physical connection and an **after** delay. + + CAL + CAL.lf : An illustration of the fundamental tradeoff between consistency, availability, and latency, using centralized control. + + + CALDecentralized + CALDecentralized.lf : An illustration of the fundamental tradeoff between consistency, availability, and latency, using decentralized control. + diff --git a/examples/C/src/distributed/img/CAL.png b/examples/C/src/distributed/img/CAL.png new file mode 100644 index 0000000000000000000000000000000000000000..72cc21ec42c8c373a2cf9bea7f8f06f6493862fb GIT binary patch literal 461762 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