Power consumption estimation from number of FLOPS (floating point operations)? - fpga

I have extracted how many flops (floating point operations) each of my algorithms are consuming,
I wonder if I implement this algorithms on FPGA or on a CPU, can predict (roughly at least) how much power is going to be consumed?
Both power estimation in either CPU or ASIC/FPGA are good for me. I am seeking something like a formula. I have this journal paper, for Intel CPUs. It gives power consumption per instruction (not only floating point operation but all those addressing, control, etc. instructions) so I need something more general to give power based on FLOPS not number of instructions of the code in a special processor.

Re CPU: It's not really possible with modern architectures. Let's assuming your program is running on bare metal (i.e. avoiding the complexities of modern OSs, other applications, interrupt processing, optimizing compilers, etc). Circuitry that isn't being used, the modern processor will operate at a reduced power level. There are also hardware power conservation states such as P (Power) and C (Sleep) states that are instruction independent and will vary your power consumption even with the same instruction sequence. Even if we assume your app is CPU-bound (meaning there are no periods long enough to allow the processor to drop into hardware power saving states), we can't predict power usage except at a gross statistical level. Instruction streams are pipelined, taken out-of-order, fused, etc. And this doesn't even include the memory hierarchy, etc.
FPGA: Oh, heck. My experience with FPGA is so old, that I really don't want to say from when. All I can say is that way back, when huge monsters roamed the earth, you could estimate power usage since you knew the circuit design, and the power consumption of on and off gates. I can't imagine that there aren't modern power conservation technologies built into modern FPGAs. Even so, what small literature I scanned implies that a lot of FPGA power technology is based upon a-priori analysis and optimization. See Design techniques for FPGA power optimization, and 40-nm FPGA Power Management and Advantages. (I just did a quick search and scan of the papers, by the way, so don't pay too much attention to my conclusion.)

Related

hyperthreading and turbo boost in matrix multiply - worse performance using hyper threading

I am tunning my GEMM code and comparing with Eigen and MKL. I have a system with four physical cores. Until now I have used the default number of threads from OpenMP (eight on my system). I assumed this would be at least as good as four threads. However, I discovered today that if I run Eigen and my own GEMM code on a large dense matrix (1000x1000) I get better performance using four threads instead of eight. The efficiency jumped from 45% to 65%. I think this can be also seen in this plot
https://plafrim.bordeaux.inria.fr/doku.php?id=people:guenneba
The difference is quite substantial. However, the performance is much less stable. The performance jumps around quit a bit each iteration both with Eigen and my own GEMM code. I'm surprised that Hyperthreading makes the performance so much worse. I guess this is not not a question. It's an unexpected observation which I'm hoping to find feedback on.
I see that not using hyper threading is also suggested here.
How to speed up Eigen library's matrix product?
I do have a question regarding measuring max performance. What I do now is run CPUz and look at the frequency as I'm running my GEMM code and then use that number in my code (4.3 GHz on one overclocked system I use). Can I trust this number for all threads? How do I know the frequency per thread to determine the maximum? How to I properly account for turbo boost?
The purpose of hyperthreading is to improve CPU usage for code exhibiting high latency. Hyperthreading masks this latency by treating two threads at once thus having more instruction level parallelism.
However, a well written matrix product kernel exhibits an excellent instruction level parallelism and thus exploits nearly 100% of the CPU ressources. Therefore there is no room for a second "hyper" thread, and the overhead of its management can only decrease the overall performance.
Unless I've missed something, always possible, your CPU has one clock shared by all its components so if you measure it's rate at 4.3GHz (or whatever) then that's the rate of all the components for which it makes sense to figure out a rate. Imagine the chaos if this were not so, some cores running at one rate, others at another rate; the shared components (eg memory access) would become unmanageable.
As to hyperthreading actually worsening the performance of your matrix multiplication, I'm not surprised. After all, hyperthreading is a poor-person's parallelisation technique, duplicating instruction pipelines but not functional units. Once you've got your code screaming along pushing your n*10^6 contiguous memory locations through the FPUs a context switch in response to a pipeline stall isn't going to help much. At best the other pipeline will scream along for a while before another context switch robs you of useful clock cycles, at worst all the careful arrangement of data in the memory hierarchy will be horribly mangled at each switch.
Hyperthreading is designed not for parallel numeric computational speed but for improving the performance of a much more general workload; we use general-purpose CPUs in high-performance computing not because we want hyperthreading but because all the specialist parallel numeric CPUs have gone the way of all flesh.
As a provider of multithreaded concurrency services, I have explored how hyperthreading affects performance under a variety of conditions. I have found that with software that limits its own high-utilization threads to no more that the actual physical processors available, the presence or absence of HT makes very little difference. Software that attempts to use more threads than that for heavy computational work, is likely unaware that it is doing so, relying on merely the total processor count (which doubles under HT), and predictably runs more slowly. Perhaps the largest benefit that enabling HT may provide, is that you can max out all physical processors, without bringing the rest of the system to a crawl. Without HT, software often has to leave one CPU free to keep the host system running normally. Hyperthreads are just more switchable threads, they are not additional processors.

How much is the performance of modern FPGA relative to CPU and absolutly in (GFlops/GIops)?

How much is the performance of modern FPGA relative to CPU, absolutly in (GFlops/GIops) and what is the cost of one billion integer operations per second on the FPGA?
And in which tasks now beneficial to use FPGA?
I only found it:
http://www.hpcwire.com/hpcwire/2010-11-22/the_expanding_floating-point_performance_gap_between_fpgas_and_microprocessors.html
And an old article:
http://www.mouldy.org/fpgas-in-cryptanalysis.pdf
Disclaimer: I work for SRC Computers, a heterogeneous CPU/FPGA system manufacturer.
"It depends", of course, is the answer.
A microprocessor is a fixed set of functional units. These perform reasonably well across a broad range of applications.
An FPGA is programmed by a designer with a specific set of functional units designed solely to execute a specific application. As such, it (often) performs very well for a given application.
"How much is the performance of modern FPGA relative to CPU, absolutely in (GFlops/GIops)" becomes a meaningless question. It can be answered for the the microprocessor as it has a fixed set of floating point units. However, for an FPGA, the question evolves into 1) how large if the FPGA, 2) how many floating point units can I pack into it and still do useful work, what is the memory/support architecture around the FPGA and 4) what are the sustained system bandwidths between the FPGA, its memory and the rest of the system?
The answer to "what is the cost of one billion integer operations per second on the FPGA" is similarly addressed by the preceding paragraph.
An interesting thing to keep in mind around performance is that in an FPGA, peak performance equals sustained performance since the FPGA is dedicated to executing a given application. As long as other system parameters do not interfere, of course.
Your question "And in which tasks now beneficial to use FPGA?" is a very broad question and grows with every large FPGA device release. In extremely broad non-exclusive terms, parallel and streaming applications benefit, although the application performance is to a large extent determined by the system architecture.

FPGA measure accurate times

We are checking how fast is an algorithm running at the FPGA vs Normal Quad x86 computer.
Now at the x86 we run the algorithm lots of times, and take a median in order to eliminate OS overhead, also this "cleans" the curve from errors.
Thats not the problem.
The measure in the FPGA algorithm is in cycles and then take the cycles to time, with the FSMD is trivial to count cycles anyway...
We think that count cycles is too "pure" measure, and this could be done theoretically and dont need to make a real measure or running the algorithm in the real FPGA.
I want to know is there exist a paper or some idea, to do a real time measure.
If you are trying to establish that your FPGA implementation is competitive or superior, and therefore might be useful in the real world, then I encourage you to compare ** wall clock times ** on the multiprocessor vs. the FPGA implementation. That will also help ensure you do not overlook performance effects beyond the FSM + datapath (such as I/O delays).
I agree that reporting cycle counts only is not representative because the FPGA cycle time can be 10X that of off the shelf commodity microprocessors.
Now for some additional unsolicited advice. I have been to numerous FCCM conferences, and similar, and I have heard many dozens of FPGA implementation vs. CPU implementation performance comparison papers. All too often, a paper compares a custom FPGA implementation that took months, vs. a CPU+software implementation wherein the engineer just took the benchmark source code off the shelf, compiled it, and ran it in one afternoon. I do not find such presentations particularly compelling.
A fair comparison would evaluate a software implementation that uses best practices, best available libraries (e.g. Intel MKL or IPP), that used multithreading across multiple cores, that used vector SIMD (e.g. SSE, AVX, ...) instead of scalar computation, that used tools like profilers to eliminate easily fixed waste and like Vtune to understand and tune the cache+memory hierarchy. Also please be sure to report the actual amount of engineering time spent on the FPGA vs. the software implementations.
More free advice: In these energy focused times where results/joule may trump results/second, consider also reporting the energy efficiency of your implementations.
More free advice: to get most repeatable times on the "quad x86" be sure to quiesce the machine, shut down background processors, daemons, services, etc., disconnect the network.
Happy hacking!

Algorithms FPGAs dominate CPUs on

For most of my life, I've programmed CPUs; and although for most algorithms, the big-Oh running time remains the same on CPUs / FPGAs, the constants are quite different (for example, lots of CPU power is wasted shuffling data around; whereas for FPGAs it's often compute bound).
I would like to learn more about this -- anyone know of good books / reference papers / tutorials that deals with the issue of:
what tasks do FPGAs dominate CPUs on (in terms of pure speed)
what tasks do FPGAs dominate CPUs on (in terms of work per jule)
Note: marked community wiki
[no links, just my musings]
FPGAs are essentially interpreters for hardware!
The architecture is like dedicated ASICs, but to get rapid development, and you pay a factor of ~10 in frequency and a [don't know, at least 10?] factor in power efficiency.
So take any task where dedicated HW can massively outperform CPUs, divide by the FPGA 10/[?] factors, and you'll probably still have a winner. Typical qualities of such tasks:
Massive opportunities for fine-grained parallelism.
(Doing 4 operations at once doesn't count; 128 does.)
Opportunity for deep pipelining.
This is also a kind of parallelism, but it's hard to apply it to a
single task, so it helps if you can get many separate tasks to
work on in parallel.
(Mostly) Fixed data flow paths.
Some muxes are OK, but massive random accesses are bad, cause you
can't parallelize them. But see below about memories.
High total bandwidth to many small memories.
FPGAs have hundreds of small (O(1KB)) internal memories
(BlockRAMs in Xilinx parlance), so if you can partition you
memory usage into many independent buffers, you can enjoy a data
bandwidth that CPUs never dreamed of.
Small external bandwidth (compared to internal work).
The ideal FPGA task has small inputs and outputs but requires a
lot of internal work. This way your FPGA won't starve waiting for
I/O. (CPUs already suffer from starving, and they alleviate it
with very sophisticated (and big) caches, unmatchable in FPGAs.)
It's perfectly possible to connect a huge I/O bandwidth to an
FPGA (~1000 pins nowdays, some with high-rate SERDESes) -
but doing that requires a custom board architected for such
bandwidth; in most scenarios, your external I/O will be a
bottleneck.
Simple enough for HW (aka good SW/HW partitioning).
Many tasks consist of 90% irregular glue logic and only 10%
hard work ("kernel" in the DSP sense). If you put all that
onto an FPGA, you'll waste precious area on logic that does no
work most of the time. Ideally, you want all the muck
to be handled in SW and fully utilize the HW for the kernel.
("Soft-core" CPUs inside FPGAs are a popular way to pack lots of
slow irregular logic onto medium area, if you can't offload it to
a real CPU.)
Weird bit manipulations are a plus.
Things that don't map well onto traditional CPU instruction sets,
such as unaligned access to packed bits, hash functions, coding &
compression... However, don't overestimate the factor this gives
you - most data formats and algorithms you'll meet have already
been designed to go easy on CPU instruction sets, and CPUs keep
adding specialized instructions for multimedia.
Lots of Floating point specifically is a minus because both
CPUs and GPUs crunch them on extremely optimized dedicated silicon.
(So-called "DSP" FPGAs also have lots of dedicated mul/add units,
but AFAIK these only do integers?)
Low latency / real-time requirements are a plus.
Hardware can really shine under such demands.
EDIT: Several of these conditions — esp. fixed data flows and many separate tasks to work on — also enable bit slicing on CPUs, which somewhat levels the field.
Well the newest generation of Xilinx parts just anounced brag 4.7TMACS and general purpose logic at 600MHz. (These are basically Virtex 6s fabbed on a smaller process.)
On a beast like this if you can implement your algorithms in fixed point operations, primarily multiply, adds and subtracts, and take advantage of both Wide parallelism and Pipelined parallelism you can eat most PCs alive, in terms of both power and processing.
You can do floating on these, but there will be a performance hit. The DSP blocks contain a 25x18 bit MACC with a 48bit sum. If you can get away with oddball formats and bypass some of the floating point normalization that normally occurs you can still eek out a truck load of performance out of these. (i.e. Use the 18Bit input as strait fixed point or float with a 17 bit mantissia, instead of the normal 24 bit.) Doubles floats are going to eat alot of resources so if you need that, you probably will do better on a PC.
If your algorithms can be expressed as in terms of add and subtract operations, then the general purpose logic in these can be used to implement gazillion adders. Things like Bresenham's line/circle/yadda/yadda/yadda algorithms are VERY good fits for FPGA designs.
IF you need division... EH... it's painful, and probably going to be relatively slow unless you can implement your divides as multiplies.
If you need lots of high percision trig functions, not so much... Again it CAN be done, but it's not going to be pretty or fast. (Just like it can be done on a 6502.) If you can cope with just using a lookup table over a limited range, then your golden!
Speaking of the 6502, a 6502 demo coder could make one of these things sing. Anybody who is familiar with all the old math tricks that programmers used to use on the old school machine like that will still apply. All the tricks that modern programmer tell you "let the libary do for you" are the types of things that you need to know to implement maths on these. If yo can find a book that talks about doing 3d on a 68000 based Atari or Amiga, they will discuss alot of how to implement stuff in integer only.
ACTUALLY any algorithms that can be implemented using look up tables will be VERY well suited for FPGAs. Not only do you have blockrams distributed through out the part, but the logic cells themself can be configured as various sized LUTS and mini rams.
You can view things like fixed bit manipulations as FREE! It's simply handle by routing. Fixed shifts, or bit reversals cost nothing. Dynamic bit operations like shift by a varable amount will cost a minimal amount of logic and can be done till the cows come home!
The biggest part has 3960 multipliers! And 142,200 slices which EACH one can be an 8 bit adder. (4 6Bit Luts per slice or 8 5bit Luts per slice depending on configuration.)
Pick a gnarly SW algorithm. Our company does HW acceleration of SW algo's for a living.
We've done HW implementations of regular expression engines that will do 1000's of rule-sets in parallel at speeds up to 10Gb/sec. The target market for that is routers where anti-virus and ips/ids can run real-time as the data is streaming by without it slowing down the router.
We've done HD video encoding in HW. It used to take several hours of processing time per second of film to convert it to HD. Now we can do it almost real-time...it takes almost 2 seconds of processing to convert 1 second of film. Netflix's used our HW almost exclusively for their video on demand product.
We've even done simple stuff like RSA, 3DES, and AES encryption and decryption in HW. We've done simple zip/unzip in HW. The target market for that is for security video cameras. The government has some massive amount of video cameras generating huge streams of real-time data. They zip it down in real-time before sending it over their network, and then unzip it in real-time on the other end.
Heck, another company I worked for used to do radar receivers using FPGA's. They would sample the digitized enemy radar data directly several different antennas, and from the time delta of arrival, figure out what direction and how far away the enemy transmitter is. Heck, we could even check the unintended modulation on pulse of the signals in the FPGA's to figure out the fingerprint of specific transmitters, so we could know that this signal is coming from a specific Russian SAM site that used to be stationed at a different border, so we could track weapons movements and sales.
Try doing that in software!! :-)
For pure speed:
- Paralizable ones
- DSP, e.g. video filters
- Moving data, e.g. DMA

Software performance (MCPS and Power consumed) in a Embedded system

Assume an embedded environment which has either a DSP core(any other processor core).
If i have a code for some application/functionality which is optimized to be one of the best from point of view of Cycles consumed(MCPS) , will it also be a code, best from the point of view of Power consumed by that code in a real hardware system?
Can a code optimized for least MCPS be guaranteed to have least power consumption as well?
I know there are many aspects to be considered here like the architecture of the underlying processor and the hardware system(memory, bus, etc..).
Very difficult to tell without putting a sensitive ammeter between your board and power supply and logging the current drawn. My approach is to test assumptions for various real world scenarios rather than go with the supporting documentation.
No, lowest cycle count will not guarantee lowest power consumption.
It's a good indication, but you didn't take into account that memory bus activity consumes quite a lot of power as well.
Your code may for example have a higher cycle count but lower power consumption if you move often needed data into internal memory (on chip ram). That won't increase the cycle-count of your algorithms but moving the data in- and out the internal memory increases cycle-count.
If your system has a cache as well as internal memory, optimize for best cache utilization as well.
This isn't a direct answer, but I thought this paper (from this answer) was interesting: Real-Time Task Scheduling for Energy-Aware Embedded Systems.
As I understand it, it trying to run each task under the processor's low power state, unless it can't meet the deadline without high power. So in a scheme like that, more time efficient code (less cycles) should allow the processor to spend more time throttled back.

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