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Unformatted text preview: _PI/2.0) Value: 16331239353195370.0 The magic of infinity, 2: Code: float val2 = tanf(MATH_PI/2.0) Value: 22877332.0 Not associative:
(x + y) + z is not (always) equal to x + (y + z) Not distributive:
(x + y) * z is not (always) equal to x * z + y * z 34 IEEE Floating Point
Q: how to represent “infinite” numbers in
finite representation?
15 10 5
Denormalized 0
5
Normalized Infinity 10 15 IEEE Standard 754 Established in 1985 as uniform standard for
floating point arithmetic Supported by all major CPUs Driven by numerical concerns
35 Overview of Center for DomainSpecific
Computing
Supported by NSF “Expedition in Computing” Program
www.cdsc.ucla.edu CDSC Retreat, April 15 – 17, 2012
Jason Cong
CDSC Director
cong@cs.ucla.edu 36 Focus: New Transformative Approach to
Power/Energy Efficient Computing ♦
♦ Current solution: Parallelization
Next significant opportunity – Customization
Parallelization
Customization
Adapt the architecture to
application domain Source: Shekhar Borkar, Intel 37 Justification 1 – Potential of
Customization [1] Amphion CS5230 on Virtex2 + Xilinx Virtex2 Power Estimator
[2] Dag Arne Osvik: 544 cycles AES – ECB on StrongArm SA1110
[3] Helger Lipmaa PIII assembly handcoded + Intel Pentium III (1.13 GHz)
Datasheet
[4] gcc, 1 mW/MHz @ 120 Mhz Sparc – assumes 0.25 u CMOS
[5] Java on KVM (Sun J2ME, nonJIT) on 1 mW/MHz @ 120 MHz Sparc – assumes Source: P Schaumont and I Verbauwhede, "Domain
specific codesign for embedded security," IEEE
Computer 36(4), 2003 38 Justification 2 – Advance of Civilization
For human brain, Moore’s Law scaling has long
stopped The number neurons and their firing speed did not change
significantly Remarkable advancement of civilization via
specialization
More advanced societies have higher degree of
specialization 39 Project Goals
♦ A general, customizable platform for the given
domain(s) Can be customized to a widerange of applications in the domain Can be massively produced with cost efficiency Can be programmed efficiently with novel compilation and runtime
systems ♦ Metric of success A “supercomputerinabox” with +100x performance/power
improvement via customization for the intended domain(s) 40 Chosen Application Domain:
Healthcare has transformed
Medical imaging
healthcare An in vivo method for understanding
disease development and patient
condition Estimated to be $100 billion/year More powerful & efficient computation
can help
• Fewer exposures usi...
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 Fall '00
 Melkanoff

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