"A human would turn the for loop that counts up into a do-while loop that counts down?"
Of course an experienced coder would do that; that's the entire point of why a compiler will never be able to generate as short and as fast of code as a human would. An experienced coder can see opportunities that a program with a hard-coded logic such as a compiler is incapable of seeing; if it were, we would have true artificial intelligence, with the neural network of a human brain or denser.
"That's doable on the C level,"
For some bizarre reason unbeknown to me, you just cannot seem to get your head around writing a program in assembler from start to finish. An experienced assembler coder looking for performance would not use a high level language like C because it would be a waste of her or his time, since they already know from experience that they can easily beat hard-coded program logic of a compiler (and if they did, they would chose Fortran over C). Programming in a high-level language only makes sense when the trade-off of losing performance is acceptable in the name of portability. Even then, there are situations where a portable program in a high level language has hand-written, per-processor assembler code (OpenSSL comes to mind). Why do you think that is?
"What?"
Some versions of GCC for intel 80x86 family of processors will generate one or more nopw instructions, the idea being to give the processor time to prime the data cache. It's a cheap gimmick of desperate compiler constructors, more of a gamble really, because cache games heavily depend on a very particular processor model in a processor family.
"At that point you might as well pass -ffast-math to GCC, and it will beat your code by 8x due to vectorization."
I could have vectorized this myself (that was actually the first thought I had) but chose not to because I didn't want to spend the time researching how to do that on the intel 80x86 family of processors; I could have also unrolled the loop about four to eight times for even more of a performance gain, but chose not to do so because I believe I made my point. Now you are just being purposely obtuse, because it seems that you just don't want to accept that high level compilers still aren't as fast as a human coder is: you chose a dot product because you likely knew that the compiler would generate pretty fast code, but that one isolated example doesn't really prove anything. If you do more comparisons over decades like I have, you will see how silly it was trying to argue that compilers generate faster code than coders.
Also, -ffast-math can generate code which will run the fastest only on that particular processor (and might generate instructions which will not run on other processors of the same family), but the far worse danger is that -ffast-math won't generate IEEE-754 compliant results. When one needs very high precision floating point arithmetic, -ffast-math cannot guarantee correct results. For these two reasons, -ffast-math is useless in real life applications. And indeed, wouldn't you know it:
-ffast-math
Sets the options -fno-math-errno,
-funsafe-math-optimizations, -ffinite-math-only,
-fno-rounding-math, -fno-signaling-nans and
-fcx-limited-range.
This option causes the preprocessor macro
"__FAST_MATH__" to be defined.
This option is not turned on by any -O option besides
-Ofast since it can result in incorrect output for pro-
grams that depend on an exact implementation of IEEE or
ISO rules/specifications for math functions. It may,
however, yield faster code for programs that do not
require the guarantees of these specifications.
"(Edit: This seems to be due to your use of subss instead of pxor to zero xmm0 at the beginning. Removing that gets your code back up to only 1-2% slower than the for loop version.)"
There are two ways to do it fast: eor (or what the idiotic intel architecture calls "xor"), or the sub instruction. On the Motorola MC680x0 family, both run at the same speed. Up until that time, I have never in my entire life written a single line of assembler code for the intel 80x86 family of processors. What you saw is the first assembler code I ever wrote for that platform; I even had to look up which registers to use for floating point and how to do floating point arithmetic on that family of processors, and my hard target was less than 15 minutes of total time wasted on a someone is wrong on the InterNet (https://www.xkcd.com/386/ https://www.xkcd.com/386/) discussion. If I could do that in under 15 minutes for a processor family I literally know nothing about, imagine what a real coder experienced in writing 64-bit assembler code for the intel 80x86 family of processors can do.
"You still haven't pointed out what exactly you think is garbage. Which line? Which instruction? Or don't you like that it generates some metadata?"
I haven't because I was on a mobile telephone and it was just too much of a bother to quote and reply what I wanted to address. I had to log into a workstation to reply to this and I resent that too. I don't like all of the above, the code and the metadata the compiler generated, because it's machine generated nonsense which jumps back and forth and it is hard to read and comprehend. Assembler code written by a human isn't. Now, since I already resent what I'm doing, I might as well go all the way. Let's pick apart the compiler generated examples in reverse order.
movslq %edx, %rdx
movslq isn't even necessary, but the compiler, having hard-coded logic and being just a program generated it anyway. Waste of CPU cycles.
.p2align 4,,10
.p2align 3
more assembler directives because a compiler cannot figure out whether such packing is necessary or not. My code didn't need them because I know that I don't.
leal 1(%rdx), %eax
testl %eax, %eax
again, nonsense: two instructions wasted with what could amount to a single subq. This isn't more efficient.
rep ret
Why, when a ret will do? Obviously in my code it worked, but the compiler felt that it had to generate this nonsense, which on top of being nonsense is harder to read and understand, and isn't any faster.
Next example:
testl %edx, %edx
jle .L4
leal -1(%rdx), %eax
testl is a total waste of processor cycles here. Which purpose does it serve? Then more cycles are wasted on jumping to an instruction to clear %xmm0, presumably to be able to utilize the instruction pipeline, but all the jump does is waste cycles.
xorl %eax, %eax
why xorl %eax in a loop when it could be done once? More waste of processor cycles. That code is extremely inefficient, and hopes to trade off readability for banking on a specific feature of intel 80x86, hoping that the instruction cache and pipelining will offset the losses. Idiotic in the extreme considering a human could get the same performance with far less and simpler code!
"Based on the data it looks like I was right to doubt you."
It might look that way to you now, but if you choose to acquire more experience in coding in assembler, you will eventually realize that I'm correct. You just need more experience, and from that will come insight. Run more tests on more algorithms; study the intel / AMD architecture manuals. Try to construct your own compiler, which I think will really make you realize why a program cannot beat a human. Shame only that you have to deal with such a shitty family of processors, but even that insight will be extremely valuable.
> Even then, there are situations where a portable program in a high level language has hand-written, per-processor assembler code (OpenSSL comes to mind). Why do you think that is?
It makes sense at times, in specific contexts. Which is a far cry from your "compile anything with gcc -S -O3 and behold the extra code which a human would never write" (emphasis mine).
> nopw instructions, the idea being to give the processor time to prime the data cache.
I'm still only 95% sure what you mean by "priming the data cache", but if you mean prefetching, (a) nop doesn't prefetch; and (b) there are prefetch instructions for prefetching. And in any case prefetching wouldn't be cheating.
> If you do more comparisons over decades like I have
Compilers have gotten much better over the last few decades. Maybe the things you "know" are "always" true were true at some point in time and aren't true anymore.
> the far worse danger is that -ffast-math won't generate IEEE-754 compliant results
Yes, that's what I said. You took my original function and wrote a version that didn't generate IEEE-754 compliant results. If you're OK with changing the semantics, you should use -ffast-math and let the compiler vectorize.
> There are two ways to do it fast: eor (or what the idiotic intel architecture calls "xor"), or the sub instruction
For whatever it's worth, I think sub would be incorrect if the original bit pattern in the register were a NaN.
> two instructions wasted with what could amount to a single subq. This isn't more efficient.
And yet, somehow, this version of the code runs faster than your version.
> testl is a total waste of processor cycles here. Which purpose does it serve? Then more cycles are wasted on jumping to an instruction to clear %xmm0
That's the code for testing whether the for loop should ever be entered. If n is less than or equal to zero (that's what's being tested by testl/jne), the function returns zero. Which is why xmm0 (the return register) needs to be zeroed in that case.
> why xorl %eax in a loop when it could be done once?
It's not in a loop. It's the "i = 0" setup code before the loop.
You have made it very clear that you don't feel qualified to write highly optimized x86-64 code. Neither are you qualified to judge the quality of x86-64 code if you can't tell what is inside a loop and what isn't.
Two last points before I drop this thread:
> you will see how silly it was trying to argue that compilers generate faster code than coders
I didn't argue that. I argued that your assertion "compile anything with gcc -S -O3 and behold the extra code which a human would never write" (emphasis mine, again) was incorrect. That doesn't mean that I think that gcc will always, or even sometimes, beat human coders. But it can match them very very often.
> you chose a dot product because you likely knew that the compiler would generate pretty fast code [...] More waste of processor cycles. [...] Idiotic in the extreme
You're contradicting yourself. And you are calling idiots the many GCC developers and Intel/AMD microarchitecture experts who very likely have pored over every single instruction of this very code and decided that this is the way it should be written for maximum performance.
I hope you have a wonderful day.