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1 Modeling Embedded Systems Tajana Simunic Rosing Department of Computer Science and Engineering University of California, San Diego.

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1

Modeling Embedded Systems

Tajana Simunic Rosing Department of Computer Science and Engineering University of California, San Diego.

2 Tajana Simunic Rosing

ES Design

Verification and Validation

Hardware Hardware components

3 Tajana Simunic Rosing

Models, Languages and Tools Sequent. program

State

machine

Data- flow

Concurrent processes

C/C++

Verilog

Java

VHDL

Implementation A

Implementation

B

Implementation

C

Components of a formal design model n  Functional specification

¨  Relationships between inputs, outputs & states n  Properties

¨  Relations between I/O/S that can be checked against the functional specification

¨  3 types: inherent in model of computation, those that can be verified syntactically & semantically for a given specification

n  Performance indices ¨  Evaluate quality of design

n  Constraints ¨  On performance indices, usually inequalities

4

Design process Design: n  A set of components interacting with each other and with the environment

that is not a part of design Model of Computation (MOC): n  Defines the behavior and interaction of the design blocks Design process: n  Takes a model at a higher level of abstraction and refines it to a lower

level along with mapping constraints, performance indices and properties to the same level

Validation: n  Process of checking if design is correct

¨  Simulation/emulation, formal verification of specification or implementation Synthesis: n  Design refinement where more abstract specifications are translated into

less abstract specifications 5

6 Tajana Simunic Rosing

Models of Computation Elements n  State

¨  e.g. in HW : n  Combinational states: one state for a given time t n  Sequential states: multiple states possible for time t

n  Decidability ¨  Can a property be determined in a finite amount of

time? n  Concurrency and communication

¨  Embedded systems usually have coordinated concurrent processes -> communication required

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Modes of Communication

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Communication

¨ Blocking

… send () …

… receive () …

… send () …

… receive () …

… send () …

… receive () … ack … process a {

.. P(S) //obtain lock .. // critical section V(S) //release lock }

process b { .. P(S) //obtain lock .. // critical section V(S) //release lock }

n  Message Passing ¨ Non-blocking

n  Shared memory

¨ Extended rendezvous

Models of computation comparison Communication/ local computations

Shared memory

Message passing Synchronous | Asynchronous

Communicating finite state machines

StateCharts SDL

Data flow (Not useful) Kahn networks, DFG, SDF

Petri nets various versions of Petri Nets

Discrete event (DE) model

VHDL*, Verilog*, SystemC*, …

Only experimental systems, e.g. distributed DE in Ptolemy

Von Neumann model+ C, C++, Java C, C++, Java & libraries, ADA

*Classification based on implementation with centralized data structures +Consists of a processing unit, control unit and storage for instructions & data

10 Tajana Simunic Rosing

Model of Computation Examples n  State machine models

¨  FSM, StateCharts , SDL n  Petri nets n  Communicating processes

¨  Kahn processes, Communicating Sequential Processes n  Ada n  Dataflow models

¨  DFG, SDFG n  Discrete event models

¨  VHDL, Verilog, SystemC, SpecC n  Synchronous languages

¨  Cycle based models, Esterel, Lustre

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Classical automata

•  Moore-automata: O = H(S); S+ = f(I, S)

•  Mealy-automata O = H(I, S); S+ = f(I, S)

Internal state S input I output O

S0 S1

S2 S3

e=1

e=1

e=1

e=1 0 1

2 3

clock

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Finite-state machines (FSMs)

Idle

GoingUp

req > floor

req < floor

!(req > floor)

!(timer < 10)

req < floor

DoorOpen

GoingDn

req > floor

u,d,o, t = 1,0,0,0

u,d,o,t = 0,0,1,0

u,d,o,t = 0,1,0,0

u,d,o,t = 0,0,1,1

u is up, d is down, o is open

req == floor

!(req<floor)

timer < 10

t is timer_start

Elevator Control process using a state machine

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Elevator Control with Fire Mode

n  FireMode ¨  When fire is true, move elevator to 1st floor and open door

Idle

GoingUp

req>floor

req<floor

!(req>floor)

timeout(10)

req<floor

DoorOpen

GoingDn

req>floor

u,d,o = 1,0,0

u,d,o = 0,0,1

u,d,o = 0,1,0

req==floor

!(req<floor)

fire

fire fire

fire

FireGoingDn

floor>1

u,d,o = 0,1,0

u,d,o = 0,0,1

!fire

FireDrOpen

floor==1

fire

u,d,o = 0,0,1

UnitControl

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , CFSM, SDL n  Petri nets n  Communicating Processes

¨  Kahn processes, Communicating Sequential Processes n  Ada n  Dataflow models

¨  DFG, SDFG n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  Synchronous languages

¨  Cycle based models, Esterel, Lustre

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StateCharts: Hierarchy

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Back to Elevator Example

fire

!fire FireGoingDn

floor>1

u,d,o = 0,1,0

FireDrOpen

floor==1

fire

FireMode

u,d,o = 0,0,1

Idle

GoingUp

req>floor

req<floor

!(req>floor)

timeout(10)

req<floor

DoorOpen

GoingDn

req>floor

u,d,o = 1,0,0

u,d,o = 0,0,1

u,d,o = 0,1,0

req==floor !(req>floor)

u,d,o = 0,0,1

NormalMode

UnitControl NormalMode

FireMode

fire !fire

UnitControl ElevatorController

RequestResolver

...

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StateCharts: Default state

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StateCharts: History

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History & default state

same meaning

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StateCharts: Concurrency

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Conditional Transitions

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StateCharts: Timers

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Example: Answering machine

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StateCharts: edge labels event [condition] / reaction

n  Events: ¨  Exist only until the next evaluation of the model ¨  Can be either internally or externally generated

n  Conditions: ¨  Refer to values of variables that keep their value until they are

reassigned n  Reactions:

¨  Can either be assignments for variables ¨  or creation of events

n  Example: ¨  service-off [not in Lproc] / service:=0

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Propagations and Broadcasts Source: B. P. Douglass & iLogix

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StateCharts: Simulation

Status= values of all variables + set of events + current time Step = execution of the three phases

Status phase 2 phase 3

phase 1

Three phases: 1. Effects of external changes on events and conditions are evaluated, 2. The set of transitions to be made in the current step and right hand

sides of assignments are computed, 3. Transitions become effective, variables obtain new values.

StateCharts Simulation Example

Statecharts – Example 1

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A B Ce

f

g h

D

k m

A B C

D

g

f h

e

k k k m

Equivalent FSM Representation

Statechart Example

Statecharts – Example 2

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A Bf

g

n Ek

m C D

h

Statechart Example

AC AD BC BD

E

n n

f f

g g

h h

m m m m k Equivalent FSM Representation

30 Tajana Simunic Rosing

StateCharts: Application Examples n  Power converter system for trams, metros & trains

¨ System-level modeling and automated code generation ¨ Guarantee latencies less than 10 microseconds ¨ Cut development time by 50% ¨ Time from design completion to first prototype down to 1hr

from 3 months ¨ Defect free code automatically generated for a number of

RTOS implementations

By Alstom

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StateCharts: Application Examples n  Development of defibrillator and pacemaker

technology ¨ Model system behavior before requirements are finalized ¨ Check that SW provides mathematically consistent

representation of the product’s system – correct and unambiguous representation of model behavior

¨ More accurate and extensive verification – guarantee device works 100% of the time for at least 7-10yrs

¨ Cut product verification costs by 20% ¨ 15-20% overall cost reduction per projects on future

development

By Guidant CRM

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StateCharts: Application Examples n  Jet engine electronic controller design

¨ System level specification and consistency check ¨ Construction of on-screen simulation of the cockpit display ¨ Evaluate correctness in normal and faulty operation

modes ¨ Project so successful that now StateCharts are used for:

n  Independent overspeed protection system n  Thrust reverse control system n  Engine fuel control system

By BMW

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StateCharts: Summary n  Hierarchy n  AND- and OR-super states n  Default state, History n  Timing behavior n  State oriented behavior n  Edge labels n  Concurrency n  Synchronization & communication

¨ Broadcast, shared memory n  Simulation n  Cross compiling

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL n  Petri nets n  Communicating Processes

¨  Kahn processes, Communicating Sequential Processes n  Ada n  Dataflow models

¨  DFG, SDFG n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  Synchronous languages

¨  Cycle based models, Esterel, Lustre

SDL n  Designed for specification of distributed systems.

n  Dates back to early 70s,formal semantics defined in the late 80s, updates from 1984 to 1999 by International Telecommunication Union (ITU)

n  Provides textual and graphical formats

n  Similar to StateCharts, each FSM is called a process, but it uses message passing instead of shared memory for communication

n  Supports operations on data

SDL-representation of FSMs/processes

output

input

state

Communication among SDL-FSMs n  Communication between FSMs (or “processes“)

is based on message-passing, assuming a potentially indefinitely large FIFO-queue.

§ Each process fetches next entry from FIFO,

§ checks if input enables transition,

§ if yes: transition takes place,

§ if no: input is ignored (exception: SAVE-mechanism).

Determinate? n  Let tokens be arriving at FIFO at the same time: FOrder in which they are stored is unknown:

All orders are legal so simulators can show different behaviors for the same input, all of which are correct.

Operations on data n  Variables can be declared locally for processes. n  Their type can be predefined or defined in SDL itself. n  SDL supports abstract data types (ADTs)

Process interaction diagrams n  Interaction between processes can be described in

process interaction diagrams, which are a special case of block diagrams

n  In addition to processes, these diagrams contain channels and declarations of local signals.

,B

Hierarchy in SDL n  Process interaction diagrams can be included in

blocks. The root block is called system.

Processes cannot contain other processes, unlike in StateCharts.

Timers n  Timers can be declared locally n  Elapsed timers put signal into queue, but are not necessarily

processed immediately n  RESET removes a timer also from FIFO-queue.

Description of network protocols

Vending machine example Machine sells pretzels, chips, cookies, & doughnuts

Accepts nickels, dime, quarters, and half-dollars

It is not a distributed application.

° [J.M. Bergé, O. Levia, J. Roullard: High-Level System Modeling, Kluwer Academic Publishers, 1995]

Overall view of vending machine

Decode Requests

p

Chip Handler

no

yes

yes

no

48 Tajana Simunic Rosing

SDL: Real World Example n  ADSL design

¨  Ideal language for telecom design; communication between components and their different states of operation can be easily modeled with SDL

¨ Object orientation and automatic code generation significantly simplified system design verification

¨ Early testing done on SDL – significant savings in the cost of expensive test equiptment

By Siemens

SDL summary ¨ FSM model for the components, ¨ Non-blocking message passing for communication, ¨  Implementation requires bound for the maximum length of

FIFOs; may be very difficult to compute, ¨ Not necessarily determinate ¨ Timer concept adequate just for soft deadlines, ¨ Limited way of using hierarchies, ¨ Limited programming language support, ¨ No description of non-functional properties, ¨ Excellent for distributed applications (used for ISDN), ¨ Commercial tools available (see http://www.sdl-forum.org)

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL, CFSM n  Petri nets n  Communicating Processes

¨  Kahn processes, Communicating Sequential Processes n  Ada n  Dataflow models

¨  DFG, SDFG n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  Synchronous languages

¨  Cycle based models, Esterel, Lustre

Petri net definitions

n H2OExample

51 Tajana Simunic Rosing Source: Murata’89

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Petri net – Train tracks model

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Concurrency, Causality, Choice

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Concurrency, Causality, Choice

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Concurrency, Causality, Choice

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Concurrency, Causality, Choice

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Concurrency, Causality, Choice

Petri nets: confusion J n Concurrency & conflict lead

to confusion…. ¨ Symmetric ¨ Asymmetric

58 Tajana Simunic Rosing Source: Murata’89

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Conflict for resource „track“

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Communication Protocol

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Communication Protocol

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Communication Protocol

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Communication Protocol

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Communication Protocol

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Communication Protocol

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer Problem

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Producer-Consumer with Priority

n  Modeling synchronization control when sharing resources n  Multiprocessor CPUs, distributed systems

Petri net definitions

n H2OExample

81 Tajana Simunic Rosing Source: Murata’89

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Petri Net Properties n  Behavioral

¨  Reachability n  Marking M reachable from marking Mo

¨  k - Boundedness n  Number of tokens in each place does not exceed finite number k n  Safe if 1-bounded

¨  Liveness n  Can fire any transition of the net – related to absence of deadlocks

n  Structural ¨  Controlability

n  Any marking can be reached from any other marking ¨  Structural boundednes ¨  Conservativeness – weighted sum of tokens constant

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PN Properties - Reachability

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PN Properties – Deadlock-free

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PN Properties – Deadlock-free

Petri Net Liveness n L0-live (dead): a particular transition can

never fire ¨ In the figure below, t0 can never fire

n  see reachability graph

Petri Net Liveness n L1-live: a particular transition can fire at

least once for some firing sequence ¨ In the figure below, t1 can only fire once, for

some firing sequence

Petri Net Liveness n L2-live: a particular transition can fire k

times for a particular firing sequence, for any k. ¨ In the figure below, t2 can only fire once,

twice, etc, for different firing sequences

Petri Net Liveness n L3-live: a particular transition can fire

infinitely in a particular firing sequence. ¨ In the figure below, t3 can fire infinitely for the

firing sequence t3, t3, t3, t3,… ¨ Note that the number of times t1 and t2, fire is

finite for any firing sequence.

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PN Properties - Boundedness

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PN Properties - Boundedness

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PN Properties - Boundedness

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PN Properties - Boundedness

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PN Properties - Boundedness

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PN Properties - Conservation

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PN Properties - Conservation

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PN Properties - Conservation

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Petri Nets - Analysis

n Structural ¨ Incidence matrix

n State Space Analysis techniques ¨ Coverability Tree ¨ Reachability Graph

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PN Properties – Analysis

Incident Matrix

State Equations

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Petri Nets – Coverability Tree

Example n  Assume

¨  e=6 ¨  Mo=[0 12]

n  Can we reach M=[6 0] from Mo? n  Can it be statically scheduled? n  What size buffers are needed at

P1 & P2?

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P1

P2T1 T2

32

4 e

102 Tajana Simunic Rosing

Petri nets: Applications n  Model, simulate and analyze networking

protocols (e.g. TCP, Ethernet, etc) n  Model, simulate and analyze complex network

elements (e.g. router, switch, optical mux); check their logical behavior

n  Design and analyze network performance and AoS with logical models of traffic generators, protocols and network elements

n  Study network behavior characteristics (e.g. throughput, blocking probability etc)

By Siemens

Petri nets in practice

n  Example apps: ¨ TCP performance ¨ Security system

design and automated code geneeration

¨ MAC design ¨ ….

103 Tajana Simunic Rosing

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Petri Nets - Summary n  PN Graph

¨ places (buffers), transitions (action), tokens (data)

n  Firing rule ¨ Transition enabled if enough tokens in a place

n  Properties ¨ Structural (consistency, structural boundedness) ¨ Behavioral (reachability, boundedness, etc.)

n  Analysis techniques n  Applications

¨ Modeling of resources, mutual exclusion, synchronization

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL, CFSM n  Petri nets n  Communicating Processes

¨  Communicating Sequential Processes, Ada, Kahn processes n  Dataflow models

¨  DFG, SDFG n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  Synchronous languages

¨  Cycle based models, Esterel, Lustre n  HW Models n  Unified Modeling Language (UML)

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Process n  A sequential program

¨ Executes concurrently with other processes

n  Basic operations on processes ¨ Create & terminate, suspend &

resume, join n  Process communication

¨ Shared memory (and mutexes) ¨ Message passing ¨ Rendezvous

buttons inside

elevator

Unit Control

b1

down

open

floor

...

Request Resolver

...

up/down buttons on

each floor

b2 bN

up1 up2 dn2

dnN

req

up

System interface

up3 dn3

107 Tajana Simunic Rosing

ADA-rendez-vous task screen_out is entry call_ch(val:character; x, y: integer); entry call_int(z, x, y: integer); end screen_out; task body screen_out is ... select accept call_ch ... do .. end call_ch; or accept call_int ... do .. end call_int; end select;

Sending a message: begin screen_out.call_ch('Z',10,20); exception when tasking_error => (exception handling) end;

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Task graphs

Nodes are a „program“ described in some programming language

Sequence constraint

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Task graphs - Timing

]

Arrival time deadline

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Task graphs - I/O

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Task graphs - Shared resources

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Task graphs - Periodic schedules

.. infinite task graphs

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Task graphs - Hierarchy

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL, CFSM n  Petri nets n  Communicating Processes

¨  Communicating Sequential Processes, Ada n  Dataflow models

¨  Kahn processes ¨  DFG, SDFG

n  Discrete Event Systems ¨  VHDL, Verilog, SystemC, SpecC

n  Synchronous languages ¨  Cycle based models, Esterel, Lustre

n  Petri nets n  HW Models n  Unified Modeling Language (UML)

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Kahn process network

process channel

KPN - executable task graphs

Communication is via infinitely large FIFOs

Nonblocking write, blocking read => DETERMINATE

Important properties of KPN: Continuous

Output signals can be gradually produced; never have to consume all input to produce some output

Monotonic Output depends on input but doesn’t change previous output

Continuous monotonic processes => ITERATIVE

116 Tajana Simunic Rosing

Petri net model of a Kahn process

n KPNs are deterministic: ¨ Output determined by

n  Process, network, initial tokens

117

Modeling Embedded Systems

Tajana Simunic Rosing Department of Computer Science and Engineering University of California, San Diego.

118 Tajana Simunic Rosing

Dataflow Process Networks A

B

C D

modulate convolve

transform

A B C D

Z

Nodes with more complex transformations

t1 t2

+ –

*

A B C D

Z

Nodes with arithmetic transformations

t1 t2

Z = (A + B) * (C - D)

n  Dataflow: ¨ Maps input tokens to output tokens ¨ Outputs function of current inputs

n  No need to keep state on suspend/resume

¨ Scheduling for resource sharing

119 Tajana Simunic Rosing

Dataflow process examples n HW resource scheduling

¨ Constraints: 2 mult, 2 ALU ¨ List scheduler ¨ Additional constraints

n  Performance n  Power n  Area etc.

*

NOP

*

*

<

*

*

+

NOP

1 2

3

4

5

6

7 *

8

+ 9

10

11

0

n

T1

T2

T3

T4

120 Tajana Simunic Rosing

Synchronous dataflow

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SDF notation n Nodes have rates of data production or

consumption. n Edges have delays.

¨ Delays do not change rates, only the amount of data stored in the system at startup.

+ - 1 2

5 0

Tajana Simunic Rosing

SDF examples

n1

n2

1 1

n3 2 1

2 1

n1 1

n3

1

1

n2

1 2D

D

123 Tajana Simunic Rosing

SDF Scheduling n  By building a set of “flow and

conservation” equations 3a – 2b = 0 4b – 3d = 0 b – 3c = 0 2c – a = 0 d – 2a = 0 Solution: a = 2c; b = 3c; d = 4c Possible schedules: BBBCDDDDAA BDBDBCADDA BBDDBDDCAA …

124 Tajana Simunic Rosing

Dataflow process examples n  Design of a first 802.11b WLAN card

¨  New product – combines RF, MAC and PHY; lots of DSP ¨  Implemented on an ASIC ¨  Previous design hand coded VHDL

n  System level design with COSSAP by Synopsys ¨  Explore architectural trade-offs – what in gates, what on DSP ¨  Scheduling trade-offs: latency, area, propagation delay between

clocks, and vendor library n  Results:

¨  Reduced time to market by a factor of TWO! ¨  Architectural exploration within 10% of actual measurements in

terms of timing and area

by Symbol Tech.

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL, CFSM n  Petri nets n  Communicating Processes

¨  Kahn processes, Communicating Sequential Processes n  Ada n  Dataflow models

¨  DFG, SDFG n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  Synchronous languages

¨  Cycle based models, Esterel, Lustre n  HW Models n  Unified Modeling Language (UML)

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Discrete Events n  Notion of time is fundamental: global order

¨ events are objects which carry ordered time info ¨  there is a casual relationship between events

n  DE simulator maintains global event queue ¨ Verilog, VHDL

n  Expensive - ordering tame stamps can be time consuming

n  Large state & Low Activity => Effective simulation n  Simultaneous events lead to non-determinacy

¨  require complex conflict resolution schemes ¨ e.g. delta delays

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Simultaneous Events in the Discrete Event Model

A B C t

t

A B C

t

A B C

t

t

B has 0 delay B has delta delay

t+

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VHDL: Entities entity full_adder is port(a, b, carry_in: in Bit; -- input ports sum,carry_out: out Bit); --output ports end full_adder;

129 Tajana Simunic Rosing

VHDL: Architectures architecture structure of full_adder is

component half_adder port (in1,in2:in Bit; carry, sum:out Bit); end component;

component or_gate port (in1, in2:in Bit; o:out Bit); end component; signal x, y, z: Bit; -- local signals begin -- port map section i1: half_adder port map (a, b, x, y); i2: half_adder port map (y, carry_in, z, sum); i3: or_gate port map (x, z, carry_out); end structure;

architecture behavior of full_adder is begin sum <= (a xor b) xor carry_in after 10 Ns; carry_out <= (a and b) or (a and carry_in) or (b and carry_in) after 10 Ns; end behavior;

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VHDL: signal strengths

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VHDL processes & waits Processes model HW parallelism

process begin a <= b after 10 ns end

process

begin prod <= x and y ; wait on x,y; end process;

process (x, y)

begin prod <= x and y ; end process;

Waits: wait until signal list;

wait until a; wait until condition;

wait until c='1'; wait for duration;

wait for 10 ns; wait; suspend indefinitely wait on = sensitivity list

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VHDL Simulation

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VHDL Simulation of an RS FF architecture one of RS_Flipflop is begin process: (R,S,Q,nQ) begin Q <= R nor nQ; nQ <= S nor Q; end process; end one;

0ns 0ns+δ 0ns+2δ

R 1 1 1

S 0 0 0

Q 1 0 0

nQ 0 0 1

0001

1100

0000

0111

1st δ

2nd δ

δ cycles reflect the fact that no real gate comes with zero delay.

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VHDL Summary n Entities and architectures n Multiple-valued logic n Modeling hardware parallelism by processes

¨ Wait statements and sensitvity lists n VHDL simulation cycle

¨ δ cycles

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SystemC: Motivation

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SystemC: Methodology

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL, CFSM n  Petri nets n  Communicating Processes

¨  Kahn processes, Communicating Sequential Processes n  Ada n  Dataflow models

¨  DFG, SDFG n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  Synchronous reactive languages

¨  Cycle based models, Esterel, Lustre n  HW Models n  Unified Modeling Language (UML)

Tajana Simunic Rosing

Reactive Synchronous Languages n  Assumptions

¨  Instantaneous reactions ¨  Discrete event ¨  Static

n  Cycle based models ¨  Excellent for (single) clocked synchronous circuits

n  Control flow oriented (imperative) languages ¨  Esterel

n  Data flow languages ¨  Lustre, Signal

n  Deterministic behavior n  Simulation, software and hardware synthesis,

verification

Lustre example

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Reactive Synchronous Models: Esterel Statements

n  Emit S n  Present S then p else q end n  Pause n  P; Q, P||Q n  Loop p end n  Await S n  Abort p when S n  Suspend p when S n  Sustain S = (loop emit S; pause end)

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Abort Statement Normal termination Aborted termination Aborted termination, Emit A preempted Normal termination B not checked in the first cycle (like await)

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Esterel Examples

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Esterel Examples

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Time in Esterel n Global clock with precise control over

when events appear ¨ At every tick: read inputs, compute, output

n Statements ¨ A bounded number in one cycle

n  Emit, present, loop

¨ Take multiple cycles: n  Pause, await, sustain

n Causality analysis ¨ Deterministic & non-contradictory

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Esterel Application Examples ●  TI used Esterel to automatically synthesize full

coverage tests for a safety-critical design ● Showed functional coverage covered only 30% of the

design, with Esterl 100% covered ●  Airbus

● Significant decrease in errors due to increase in automated code generation (40-70%) ●  e.g fly by wire controls & automatic flight control 70%, display

computer 50%, warning & maintenance computer 40% ● Major increase in productivity

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Esterel Summary ● Reactive synchronous language ● Control flow oriented ●  Imperative syntax ● Synchrony assumption useful for safety

critical embedded systems ● Convert timing relations to causal ordering ● Used in verification

● e.g. TI, Airbus

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL, CFSM n  Petri nets n  Communicating Processes

¨  Kahn processes, Communicating Sequential Processes n  Ada n  Dataflow models

¨  DFG, SDFG n  Synchronous languages

¨  Cycle based models, Esterel, Lustre n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  HW Models n  Unified Modeling Language (UML)

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Levels of hardware modeling 1.  System level 2.  Algorithmic level 3.  Instruction set level 4.  Register-transfer level (RTL) 5.  Gate-level models 6.  Switch-level models 7.  Circuit-level models 8.  Device-level models 9.  Layout models 10.  Process and device models

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Instruction level

Assembler (MIPS) Simulated semantics and $1,$2,$3 Reg[1]:=Reg[2] ∧ Reg[3]

or $1,$2,$3 Reg[1]:=Reg[2] ∨ Reg[3]

andi $1,$2,100 Reg[1]:=Reg[2] ∧ 100

sll $1,$2,10 Reg[1]:=Reg[2] << 10

srl $1,$2,10 Reg[1]:=Reg[2] >> 10

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Register transfer level: MIPS Controller

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Gate-level model

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Switch level model

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Circuit level model

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Device level Measured and simulated currents

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Layout model

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Process model

Simulated

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Models of Computation n  State Machine Models

¨  FSM, StateCharts , SDL, CFSM n  Petri nets n  Ada n  Communicating Processes

¨  Kahn processes, Communicating Sequential Processes n  Dataflow models

¨  DFG, SDFG n  Synchronous languages

¨  Cycle based models, Esterel, Lustre n  Discrete Event Systems

¨  VHDL, Verilog, SystemC, SpecC n  HW Models n  Unified Modeling Language (UML)

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UML (Unified modeling language)

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UML - StateCharts

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UML – Extended Petri Nets

„swimlane“

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UML Summary §  UML

-  State machine diagram (StateChart-like) -  Activity diagram (extended Petri nets) -  Deployment diagram (exec. arch.) -  Use case diagram -  Package diagram (hierarchy) -  Class diagrams -  Timing diagrams (UML 2.0), UML for real-time

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Models and Languages Summary n  Multiple models and languages are essential for high-

level design ¨  Managing complexity by abstraction ¨  Formality ensures refinement correctness ¨  Model choice depends on

n  Class of applications n  Required operations (synthesis, scheduling, ...)

n  Multiple MOCs can co-exist during all phases of design ¨  Specification ¨  Architectural mapping and simulation ¨  Synthesis, code generation, scheduling ¨  Detailed design and implementation ¨  Co-simulation

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Sources and References

n  Peter Marwedel, “Embedded Systems Design,” 2004. n  Frank Vahid, Tony Givargis, “Embedded System

Design,” Wiley, 2002. n  Wayne Wolf, “Computers as Components,” Morgan

Kaufmann, 2001. n  Axel Jantsch, “Modeling Embedded Systems and

SOCs,” Morgan Kaufmann, 2004. n  Alberto Sangiovanni-Vincentelli @ UCB n  Mani Srivastava @ UCLA n  Rajesh Gupta @ UCSD n  Nikil Dutt @ UCI