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CS 213
Introduction to
Computer Systems
Randal E. Bryant
August 25, 1998
Topics:
- Theme
- Five great realities of computer systems
- How this fits within CS curriculum
Course Theme
Abstraction is good, but don’t forget reality!
Courses to date emphasize abstraction
- Abstract data types
- Asymptotic analysis
These abstractions have limits
- Especially in the presence of bugs
- Need to understand underlying implementations
Useful outcomes
- Become more effective programmers
- Able to find and eliminate bugs efficiently
- Able to tune program performance
- Prepare for later “systems” classes
- Compilers, Operating Systems, Networks, Computer Architecture
Computer Arithmetic
Does not generate random values
- Arithmetic operations have important mathematical properties
Cannot assume “usual” properties
- Due to finiteness of representations
- Integer operations satisfy “ring” properties
- Commutativity, associativity, distributivity
- Floating point operations satisfy “ordering” properties
- Monotonicity, values of signs
Observation
- Need to understand which abstractions apply in which contexts!
- Important issues for compiler writers and serious application programmers
Great Reality
You’ve got to know assembly
Chances are, you’ll never write program in assembly
- Compilers are much better at this than you are
Understanding assembly key to machine-level
execution model
- Behavior of programs in presence of bugs
- High-level language model breaks down
- Tuning program performance
- Understanding sources of program inefficiency
- Implementing system software
- Compiler has machine code as target
- Operating systems must manage process state
Memory Referencing Bug Example
main () { long int a[2]; double d = 3.14; a[2] = 1073741824; / Out of bounds reference / printf("d = %.15g\n", d); exit(0); }
main () { long int a[2]; double d = 3.14; a[2] = 1073741824; / Out of bounds reference / printf("d = %.15g\n", d); exit(0); }
Alpha MIPS Sun -g 5.30498947741318e-315 3.1399998664856 3. -O 3.14 3.14 3.
Memory Referencing Errors
C and C++ do not provide any memory protection
- Out of bounds array references
- Invalid pointer values
- Abuses of malloc/free
Can lead to nasty bugs
- Whether or not bug has any effect system and compiler dependent
- Action at a distance
- Corrupted object logically unrelated to one being accessed
- Effect of bug may occur long after it occurs
How can I with this?
- Program in Java, Lisp, or ML
- Understand what possible interactions may occur
- Use or develop tools to detect referencing errors
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matrix size (n)
ijk ikj jik jki kij kji
Matmult Performance (Alpha 21164)
Too big for L1 Cache Too big for L2 Cache
Blocked matmult perf (Alpha 21164)
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50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 matrix size (n)
bijk bikj ijk ikj
Tuning of BDD Packages
- Bwolen Yang, in cooperation with researchers from Colorado, Synopsys, CMU, and T.U. Eindhoven.
Application
- Symbolic model checking
- Analyze systems consisting of interacting state machines
- Shared memory parallel computer systems
- Air traffic collision avoidance systems
- Regularly deal with systems having 10^20 states or more
- Cannot possibly represent state space as explicit state graph
- Instead represent symbolically with “Binary Decision Diagrams”
Procedure
- Generated set of benchmark traces
- Operation sequences that could be run using different packages and under varying conditions
- Identify strengths and weaknesses of 6 different packages and tune accordingly
Effect of Optimization
Compare pre- vs. post-optimized results for 96 runs
- 6 different BDD packages
- 16 benchmark traces each
- Limit each run to maximum of 8 CPU hours and 900 MB
- Measure speedup = Told / Tnew or:
- New: Failed before but now succeeds
- Fail: Fail both times
- Bad: Succeeded before, but now fails
Results
- Overall speedup = 4.
- Total time: 6.4 days --> 1.5 days
- 6 cases achieve > 100X speedup
- 13 New
- 6 Fail
- 1 Bad
Optimization Results Summary
- speedup = Told / Tnew
- New: » Failed before but now succeeds
- Fail: » Fail both times
- Bad: » Succeeded before, but now fails
Time Comparison
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10 100 1000 10000 100000 current results (sec)
initial results (sec)
new failed bad rest
100x 10x 1x
n/a
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Great Reality
Computers do more than execute programs
They need to get data in and out
- I/O system critical to program reliability and performance
They communicate with each other over networks
- Many system-level issues arise in presence of network
- Concurrent operations by autonomous processes
- Coping with unreliable media
- Cross platform compatibility
- Complex performance issues