Post on 19-Aug-2018
1
ArchitecturalArchitectural--Level SynthesisLevel Synthesis
Giovanni De MicheliIntegrated Systems Centre
EPF Lausanne
This presentation can be used for non-commercial purposes as long as this note and the copyright footers are not removed
© Giovanni De Micheli – All rights reserved
(c) Giovanni De Micheli 2
Module1
Objectives
Motivation
Compiling language models into abstract models
Behavioral-level optimization and program-level transformations
2
(c) Giovanni De Micheli 3
Synthesis
Transform behavioral into structural view
Architectural-level synthesis: Architectural abstraction level
Determine macroscopic structure
Example: major building blocks
Logic-level synthesis: Logic abstraction level
Determine microscopic structure
Example: logic gate interconnection
(c) Giovanni De Micheli 4
Models and flows
LANGUAGE MODELS ABSTRACT MODELS
HDL
HDL
HDL
compilation
compilation
translation
Operations and dependencies (Data-flow & sequencing
graphs)
FSMs – Logic functions (State-diagrams & logic
networks)
Interconnected logic blocks (Logic networks)
BE
HA
VIO
RA
L V
IEW
ST
RU
CT
UR
AL
VIE
W
AR
CH
ITE
CT
UR
AL
LE
VE
LL
OG
IC L
EV
EL
Physical design(mask layout)
Verilog
VHDL
SystemC
Esterel
Statecharts
Schematics
GDS2
3
(c) Giovanni De Micheli 5
Example
diffeq {read (x; y; u; dx; a);
repeat {xl = x+dx;
ul = u –(3 . x . u . dx) – (3 . y . dx)
yl = y + u . dx ;
c = x < a;
X = xl; u = ul; y = yl;
}
until ( c )
write (y)
(c) Giovanni De Micheli 6
Example of structures
* ALUSTEERING
& MEMORY
CONTROL UNIT
* ALUSTEERING
& MEMORY
CONTROL UNIT* ALU
4
(c) Giovanni De Micheli 7
Example
1 2 3 4 5 6 7 8
5
10
15
78
12
13
(2,2)
(2,1)
(1,2)
(1,1)
Area
Latency
X
(c) Giovanni De Micheli 8
Architectural-level synthesis motivation
Raise input abstraction level
Reduce specification of details
Extend designer base
Self-documenting design specifications
Ease modifications and extensions
Reduce design time
Explore and optimize macroscopic structure:
Series/parallel execution of operations
5
(c) Giovanni De Micheli 9
Architectural-level synthesis
Translate HDL models into sequencing graphs
Behavioral-level optimization:
Optimize abstract models independently from the implementation parameters
Architectural synthesis and optimization:
Create macroscopic structure: Data-path and control-unit
Consider area and delay information of the implementation
(c) Giovanni De Micheli 10
Compilation and behavioral optimization
Software compilation:
Compile program into intermediate form
Optimize intermediate form
Generate target code for an architecture
Hardware compilation:
Compile HDL model into sequencing graph
Optimize sequencing graph
Generate gate-level interconnection for a cell library
6
(c) Giovanni De Micheli 11
Hardware and software compilation
lex parse optimization codegen
front-end Intermediate form back-end
lex parsebehavioral
optimization
front-end Intermediate form back-end
a-synthesis
l-synthesis
l-binding
(c) Giovanni De Micheli 12
Compilation
Front-end:
Lexical and syntax analysis
Parse-tree generation
Macro-expansion
Expansion of meta-variables
Semantic analysis:
Data-flow and control-flow analysis
Type checking
Resolve arithmetic and relational operators
7
(c) Giovanni De Micheli 13
Parse tree example
a = p + q * r
assignment
identifier expression
expressionidentifier
identifier identifier
a
=
+
*p
q r
(c) Giovanni De Micheli 14
Behavioral-level optimization
Semantic-preserving transformations aiming at
simplifying the model
Applied to parse-trees or during their generation
Taxonomy:
Data-flow based transformations
Control-flow based transformations
8
(c) Giovanni De Micheli 15
Data-flow based transformations
Tree-height reduction
Constant and variable propagation
Common sub-expression elimination
Dead-code elimination
Operator-strength reduction
Code motion
(c) Giovanni De Micheli 16
Tree-height reduction
Applied to arithmetic expressions
Goal: Split into two-operand expressions to exploit hardware
parallelism at best
Techniques: Balance the expression tree Exploit commutativity, associativity and distributivity
9
(c) Giovanni De Micheli 17
Example of tree-height reduction using commutativity and associativity
+
+
*
*+
+
a ab bc cd d
x = a + b * c + d → x = (a + d) + b * c
(c) Giovanni De Micheli 18
Example of tree-height reduction using distributivity
*
+
*
*
+
* *
* *
a ab bc cd de ea
x = a * (b * c * d + e) → x = a * b * c * d + a * e;
10
(c) Giovanni De Micheli 19
Examples of propagation
Constant propagation
a = 0; b = a + 1; c = 2 * b;
a = 0; b = 1; c = 2;
Variable propagation:
a = x; b = a + 1; c = 2 * x;
a = x; b = x + 1; c = 2 * x;
(c) Giovanni De Micheli 20
Sub-expression elimination
Logic expressions:
Performed by logic optimization
Kernel-based methods
Arithmetic expressions:
Search isomorphic patterns in the parse trees
Example:
a = x + y; b = a +1; c = x + y
a = x + y; b = a + 1; c = a;
11
(c) Giovanni De Micheli 21
Examples of other transformations
Dead-code elimination:
a = x; b = x + 1; c = 2 * x;
a = x; can be removed if not referenced
Operator-strength reduction:
a = x2, b = 3 * x;
a = x * x; t = x << 1; b = x + t;
Code motion:
for ( i = 1; i < a * b) { }
t = a * b; for ( i = 1; i < t) { }
(c) Giovanni De Micheli 22
Control-flow based transformations
Model expansion
Conditional expansion
Loop expansion
Block-level transformations
12
(c) Giovanni De Micheli 23
Model expansion
Expand subroutine Flatten hierarchy
Expand scope of other optimization techniques
Problematic when model is called more than once
Example:
x = a + b; y = a * b; z = foo (x , y);
foo(p,q) { t=q - p; return (t); }
By expanding foo:
x = a + b; y = a*b; z = y – x;
(c) Giovanni De Micheli 24
Conditional expansion
Transform conditional into parallel execution with test at the end
Useful when test depends on late signals
May preclude hardware sharing
Always useful for logic expressions
Example:
y = ab; if (a) {x = b + d; } else { x = bd; } Can be expanded to: x = a (b + d) + a’bd
And simplified as: y = ab; x = y + d ( a + b )
13
(c) Giovanni De Micheli 25
Loop expansion
Applicable to loops with data-independent exit conditions
Useful to expand scope of other optimization techniques
Problematic when loop has many iterations
Example:
x = 0; for ( I = 1; I < 3; I ++ ) { x = x + 1; }
Expanded to:
x = 0; x = x + 1; x = x + 2; x = x + 3
(c) Giovanni De Micheli 26
Module2
Objectives
Architectural optimization
Scheduling, resource sharing, estimation
14
(c) Giovanni De Micheli 27
Architectural synthesis and optimization
Synthesize macroscopic structure in terms of building-
blocks
Explore area/performance trade-off:
maximize performance implementations subject to area constraints
minimize area implementations subject to performance constraints
Determine an optimal implementation
Create logic model for data-path and control
(c) Giovanni De Micheli 28
Design space and objectives
Design space:
Set of all feasible implementations
Implementation parameters:
Area
Performance: Cycle-time
Latency
Throughput (for pipelined implementations)
Power consumption
15
(c) Giovanni De Micheli 29
Design evaluation space
Area
Area
Area
Latency
Latency
Latency
Latency Max
Area Max
Cycle-time
(c) Giovanni De Micheli 30
Hardware modeling
Circuit behavior:
Sequencing graphs
Building blocks:
Resources
Constraints:
Timing and resource usage
16
(c) Giovanni De Micheli 31
Resources
Functional resources: Perform operations on data
Example: arithmetic and logic blocks
Storage resources: Store data
Example: memory and registers
Interface resources: Example: busses and ports
(c) Giovanni De Micheli 32
Resources and circuit families
Resource-dominated circuits.
Area and performance depend on few, well-characterized blocks
Example: DSP circuits
Non resource-dominated circuits
Area and performance are strongly influenced by sparse logic, control and wiring
Example: some ASIC circuits
17
(c) Giovanni De Micheli 33
Implementation constraints
Timing constraints:
Cycle-time
Latency of a set of operations
Time spacing between operation pairs
Resource constraints:
Resource usage (or allocation)
Partial binding
(c) Giovanni De Micheli 34
Synthesis in the temporal domain
Scheduling:
Associate a start-time with each operation
Determine latency and parallelism of the implementation
Scheduled sequencing graph:
Sequencing graph with start-time annotation
18
(c) Giovanni De Micheli 35
Example
* * + <
-
-
* * * * +
NOP
NOP
0
1 2
3
4
5
6
7
8
9
10
11
n
TIME 1
TIME 2
TIME 3
TIME 4
(c) Giovanni De Micheli 36
Synthesis in the spatial domain
Binding:
Associate a resource with each operation with the same type
Determine the area of the implementation
Sharing:
Bind a resource to more than one operation
Operations must not execute concurrently
Bound sequencing graph:
Sequencing graph with resource annotation
19
(c) Giovanni De Micheli 37
Example
* * + <
-
-
* * * * +
NOP
NOP
0
1 2
3
4
5
6
7
8
9
10
11
n
TIME 1
TIME 2
TIME 3
TIME 4
(1,1) (1,2) (1,3) (1,4) (2,2)
(2,1)
(c) Giovanni De Micheli 38
Estimation
Resource-dominated circuits.
Area = sum of the area of the resources bound to the operations Determined by binding
Latency = start time of the sink operation (minus start time of the source operation) Determined by scheduling
Non resource-dominated circuits
Area also affected by: Registers, steering logic, wiring and control
Cycle-time also affected by: Steering logic, wiring and (possibly) control
20
(c) Giovanni De Micheli 39
Approaches to architectural optimization
Multiple-criteria optimization problem:
Area, latency, cycle-time
Determine Pareto optimal points:
Implementations such that no other has all parameters with inferior values
Draw trade-off curves:
Discontinuous and highly nonlinear
(c) Giovanni De Micheli 40
Approaches to architectural optimization
Area/latency trade-off
for some values of the cycle-time.
Cycle-time/latency trade-off
for some binding (area)
Area/cycle-time trade-off
for some schedules (latency)
21
(c) Giovanni De Micheli 41
Area-latency trade-off
Rationale: Cycle-time dictated by system constraints
Resource-dominated circuits: Area is determined by resource usage
Approaches: Schedule for minimum latency under resource usage
constraints
Schedule for minimum resource usage under latency constraints for varying cycle-time constraints
(c) Giovanni De Micheli 42
Area/latency trade-off
1 2 3 4 5 6 7 8
5
10
15
7
8
12
13
(3,2)
(2,1)
(3,1)
Area
Latency
20
18
17
30
40
(2,2)
(2,1)
(1,2)
(1,1)
Cycle-time
X
22
(c) Giovanni De Micheli 43
Summary
Behavioral optimization:
Create abstract models from HDL models
Optimize models without considering implementation parameters
Architectural synthesis and optimization
Consider resource parameters
Multiple-criteria optimization problem: area, latency, cycle-time