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Old 2017-11-09, 08:35   #111
ewmayer
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v17.1 is uploaded - see the readme page for details and newly-added ARM SIMD build instructions. Again, no new code for x86 in this release. The ARM inline-asm is can be found inside USE_ARM_V8_SIMD-tagged preprocessor sections in the various .h files. Use a 4-column tab to view, since most of my inline-asm is in a multicolumn (typically 2 columns of independent instructions, e.g. one for real parts of complex FFT computation, one for imaginary, let's meet up occasionally and swap dance partners, that sort of thing) format which needs 4-column tabbing to properly line up.

TomW and other users of higher-end ARM cores (e,g. v9, A57, and such), I'd be appreciative if you could build both a SIMD and a scalar-double binary in separate obj-code directories, and run 4-threaded self-tests via 'Mlucas -sm -cpu 0:3' using each binary, so we can see not only how your absolute runtimes compare to my A53 ones, but also how the SIMD-associated speedup compares to mine of ~1.5x.

(Non-SIMD build means just omitting the -DUSE_ARM_V8_SIMD flag from your compile line; both builds still need -DUSE_THREADS.)

Also if anyone finds any ARM-specific -march flags to give an appreciable speed boost over the non-march-using build, I'm all ears,

Off to bed!

Last fiddled with by ewmayer on 2017-11-09 at 08:37
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Old 2017-11-09, 09:07   #112
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I guess when compiling with gcc and targeting the ODROID-C2 you would use these flags:

Code:
-march=armv8-a -mtune=cortex-a53 -mcpu=cortex-a53
From reading the gcc man page, unlike the x86 case, it would not be enough simply to specify the -march option.


For platforms other than ODROID-C2,
the allowable values for -march are: armv8-a, armv8.1-a
the allowable values for -mtune and -mcpu are: generic, cortex-a35, cortex-a53, cortex-a57, cortex-a72, exynos-m1, qdf24xx, thunderx, xgene1

Last fiddled with by GP2 on 2017-11-09 at 09:24
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Old 2017-11-09, 11:47   #113
fivemack
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On Cortex-A57, compiling with
> gcc -c -O3 -DUSE_ARM_V8_SIMD -DUSE_THREADS ../src/*.c
> gcc -o Mlucas *.o -lm -lpthread -lrt
> gcc --version
gcc (GCC) 4.8.5 20150623 (Red Hat 4.8.5-11)
Copyright (C) 2015 Free Software Foundation, Inc.
This is free software; see the source for copying conditions. There is NO
warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

I get a segfault at line 5051 of ../src/dft_macro.c

The faulting instruction is a load from x22, which equals zero at this stage;

Code:
=> 0x0000000000435974 <+3684>:	ldr	x13, [x22]
and this is fairly clearly miscompilation, because x22 is set by

Code:
  435854:       9e6602d6        fmov    x22, d22
Building with gcc-7.2.0 it works correctly with

./Mlucas.72 -fftlen 192 -iters 100 -radset 0 -cpu 0:3

(I was initially getting problems with nanosleep failing, but that turned out to be because I'd built with -g -pg in order to debug the problem above)
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Old 2017-11-09, 11:47   #114
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Default Cortex-A57, four threads

17.1
Code:
      1024  msec/iter =   13.05  ROE[avg,max] = [0.244866071, 0.281250000]  radices =  32 16 32 32  0  0  0  0  0  0
      1152  msec/iter =   16.18  ROE[avg,max] = [0.221044922, 0.250000000]  radices = 288  8 16 16  0  0  0  0  0  0
      1280  msec/iter =   17.13  ROE[avg,max] = [0.240101842, 0.281250000]  radices =  40 32 32 16  0  0  0  0  0  0
      1408  msec/iter =   20.89  ROE[avg,max] = [0.227343750, 0.265625000]  radices = 176 16 16 16  0  0  0  0  0  0
      1536  msec/iter =   21.52  ROE[avg,max] = [0.272656250, 0.312500000]  radices =  48 16 32 32  0  0  0  0  0  0
      1664  msec/iter =   25.03  ROE[avg,max] = [0.270758929, 0.312500000]  radices = 208 16 16 16  0  0  0  0  0  0
      1792  msec/iter =   25.81  ROE[avg,max] = [0.230078125, 0.281250000]  radices =  56 16 32 32  0  0  0  0  0  0
      1920  msec/iter =   29.41  ROE[avg,max] = [0.257756696, 0.312500000]  radices = 240 16 16 16  0  0  0  0  0  0
      2048  msec/iter =   29.59  ROE[avg,max] = [0.228236607, 0.281250000]  radices =  32 32 32 32  0  0  0  0  0  0
      2304  msec/iter =   35.03  ROE[avg,max] = [0.272405134, 0.343750000]  radices = 144 16 16 32  0  0  0  0  0  0
      2560  msec/iter =   38.10  ROE[avg,max] = [0.236383929, 0.312500000]  radices = 160 16 16 32  0  0  0  0  0  0
      2816  msec/iter =   43.48  ROE[avg,max] = [0.260044643, 0.312500000]  radices = 176 16 16 32  0  0  0  0  0  0
      3072  msec/iter =   46.82  ROE[avg,max] = [0.224818638, 0.251953125]  radices =  48 32 32 32  0  0  0  0  0  0
      3328  msec/iter =   51.19  ROE[avg,max] = [0.279017857, 0.343750000]  radices = 208 16 16 32  0  0  0  0  0  0
      3584  msec/iter =   55.20  ROE[avg,max] = [0.252566964, 0.312500000]  radices = 224 16 16 32  0  0  0  0  0  0
      3840  msec/iter =   59.54  ROE[avg,max] = [0.249302455, 0.343750000]  radices = 240 16 16 32  0  0  0  0  0  0
      4096  msec/iter =   63.40  ROE[avg,max] = [0.229129464, 0.281250000]  radices = 256 16 16 32  0  0  0  0  0  0
      4608  msec/iter =   71.86  ROE[avg,max] = [0.249079241, 0.281250000]  radices = 288 16 16 32  0  0  0  0  0  0
      5120  msec/iter =   78.94  ROE[avg,max] = [0.237137277, 0.281250000]  radices = 160 32 32 16  0  0  0  0  0  0
      5632  msec/iter =   90.14  ROE[avg,max] = [0.256919643, 0.312500000]  radices = 176 32 32 16  0  0  0  0  0  0
      6144  msec/iter =   99.56  ROE[avg,max] = [0.246651786, 0.281250000]  radices = 192 32 32 16  0  0  0  0  0  0
      6656  msec/iter =  106.15  ROE[avg,max] = [0.262500000, 0.312500000]  radices = 208 32 32 16  0  0  0  0  0  0
      7168  msec/iter =  113.98  ROE[avg,max] = [0.224874442, 0.281250000]  radices = 224 32 32 16  0  0  0  0  0  0
      7680  msec/iter =  123.41  ROE[avg,max] = [0.237053571, 0.281250000]  radices = 240 32 32 16  0  0  0  0  0  0
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Old 2017-11-09, 11:53   #115
henryzz
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What is the clockspeed of that A57? It beats mprime on a core 2
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Old 2017-11-09, 12:08   #116
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Quote:
Originally Posted by fivemack View Post
On Cortex-A57, compiling with
> gcc -c -O3 -DUSE_ARM_V8_SIMD -DUSE_THREADS ../src/*.c
> gcc -o Mlucas *.o -lm -lpthread -lrt
> gcc --version
gcc (GCC) 4.8.5 20150623 (Red Hat 4.8.5-11)
Do the timings change if you (use a recent version of gcc and) compile via:

gcc -c -O3 -DUSE_ARM_V8_SIMD -DUSE_THREADS -march=armv8-a -mtune=cortex-a57 -mcpu=cortex-a57 ../src/*.c

(or armv8.1-a if applicable)

Last fiddled with by GP2 on 2017-11-09 at 12:13
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Old 2017-11-09, 13:05   #117
fivemack
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Default Cortex A57, 8 cores

Code:
17.1
      1024  msec/iter =    6.75  ROE[avg,max] = [0.241730428, 0.343750000]  radices =  32 32 32 16  0  0  0  0  0  0
      1152  msec/iter =    8.60  ROE[avg,max] = [0.223343084, 0.312500000]  radices = 288  8 16 16  0  0  0  0  0  0
      1280  msec/iter =    9.45  ROE[avg,max] = [0.264203447, 0.375000000]  radices = 160 16 16 16  0  0  0  0  0  0
      1408  msec/iter =   10.83  ROE[avg,max] = [0.228562219, 0.312500000]  radices = 176 16 16 16  0  0  0  0  0  0
      1536  msec/iter =   11.14  ROE[avg,max] = [0.265776015, 0.343750000]  radices =  48 32 32 16  0  0  0  0  0  0
      1664  msec/iter =   12.98  ROE[avg,max] = [0.272265625, 0.406250000]  radices = 208 16 16 16  0  0  0  0  0  0
      1792  msec/iter =   13.89  ROE[avg,max] = [0.222711150, 0.312500000]  radices = 224 16 16 16  0  0  0  0  0  0
      1920  msec/iter =   15.09  ROE[avg,max] = [0.255116130, 0.375000000]  radices = 240 16 16 16  0  0  0  0  0  0
      2048  msec/iter =   15.53  ROE[avg,max] = [0.225500362, 0.281250000]  radices =  64 16 32 32  0  0  0  0  0  0
      2304  msec/iter =   18.08  ROE[avg,max] = [0.270892397, 0.375000000]  radices = 144 32 16 16  0  0  0  0  0  0
      2560  msec/iter =   19.53  ROE[avg,max] = [0.236825121, 0.312500000]  radices = 160 16 16 32  0  0  0  0  0  0
      2816  msec/iter =   22.30  ROE[avg,max] = [0.260065641, 0.375000000]  radices = 176 16 16 32  0  0  0  0  0  0
      3072  msec/iter =   24.82  ROE[avg,max] = [0.266442494, 0.375000000]  radices = 192 16 16 32  0  0  0  0  0  0
      3328  msec/iter =   26.32  ROE[avg,max] = [0.280374114, 0.375000000]  radices = 208 16 16 32  0  0  0  0  0  0
      3584  msec/iter =   28.36  ROE[avg,max] = [0.251112846, 0.375000000]  radices = 224 32 16 16  0  0  0  0  0  0
      3840  msec/iter =   30.63  ROE[avg,max] = [0.247425197, 0.343750000]  radices = 240 16 16 32  0  0  0  0  0  0
      4096  msec/iter =   32.55  ROE[avg,max] = [0.227451789, 0.281250000]  radices = 256 16 16 32  0  0  0  0  0  0
      4608  msec/iter =   36.98  ROE[avg,max] = [0.248973603, 0.312500000]  radices = 288 16 16 32  0  0  0  0  0  0
      5120  msec/iter =   41.51  ROE[avg,max] = [0.236476812, 0.312500000]  radices = 160 32 32 16  0  0  0  0  0  0
      5632  msec/iter =   46.98  ROE[avg,max] = [0.259536082, 0.343750000]  radices = 176 32 32 16  0  0  0  0  0  0
      6144  msec/iter =   52.13  ROE[avg,max] = [0.245962619, 0.343750000]  radices = 192 32 32 16  0  0  0  0  0  0
      6656  msec/iter =   55.55  ROE[avg,max] = [0.266108247, 0.375000000]  radices = 208 32 32 16  0  0  0  0  0  0
      7168  msec/iter =   59.58  ROE[avg,max] = [0.225737707, 0.312500000]  radices = 224 32 32 16  0  0  0  0  0  0
      7680  msec/iter =   74.81  ROE[avg,max] = [0.245511100, 0.312500000]  radices = 960 16 16 16  0  0  0  0  0  0
(the machine was not exclusively mine for the 7680 test)
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Old 2017-11-09, 13:05   #118
fivemack
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I think these are 2GHz Cortex-A57 cores, but I'm not sure
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Old 2017-11-09, 15:00   #119
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I tested the program on an ARM server with gcc 7.2 and it works. Can't comment on the CPU and the performance, sorry.

The SIMD speedup is no better than what Ernst found on the A53.
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Old 2017-11-09, 15:44   #120
fivemack
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A57, no SIMD code
Code:
17.1
      1024  msec/iter =   73.81  ROE[avg,max] = [0.227287946, 0.250000000]  radices =  16  8 16 16 16  0  0  0  0  0
      1152  msec/iter =   84.95  ROE[avg,max] = [0.208060128, 0.250000000]  radices =  18  8 16 16 16  0  0  0  0  0
      1280  msec/iter =   94.46  ROE[avg,max] = [0.312946429, 0.375000000]  radices =  20  8 16 16 16  0  0  0  0  0
      1408  msec/iter =  110.92  ROE[avg,max] = [0.218861607, 0.250000000]  radices =  22  8 16 16 16  0  0  0  0  0
      1536  msec/iter =  120.33  ROE[avg,max] = [0.211012486, 0.250000000]  radices =  12 16 16 16 16  0  0  0  0  0
      1664  msec/iter =  131.91  ROE[avg,max] = [0.245089286, 0.312500000]  radices =  26  8 16 16 16  0  0  0  0  0
      1792  msec/iter =  146.44  ROE[avg,max] = [0.218750000, 0.281250000]  radices =  14 16 16 16 16  0  0  0  0  0
      1920  msec/iter =  171.90  ROE[avg,max] = [0.258705357, 0.312500000]  radices = 240 16 16 16  0  0  0  0  0  0
      2048  msec/iter =  164.37  ROE[avg,max] = [0.258705357, 0.281250000]  radices =  16 16 16 16 16  0  0  0  0  0
      2304  msec/iter =  189.44  ROE[avg,max] = [0.211614118, 0.265625000]  radices =  18 16 16 16 16  0  0  0  0  0
      2560  msec/iter =  212.29  ROE[avg,max] = [0.228222656, 0.312500000]  radices =  20 16 16 16 16  0  0  0  0  0
      2816  msec/iter =  251.39  ROE[avg,max] = [0.213448661, 0.250000000]  radices =  22 16 16 16 16  0  0  0  0  0
      3072  msec/iter =  256.01  ROE[avg,max] = [0.226297433, 0.281250000]  radices =  24 16 16 16 16  0  0  0  0  0
      3328  msec/iter =  297.24  ROE[avg,max] = [0.249005999, 0.312500000]  radices =  26 16 16 16 16  0  0  0  0  0
      3584  msec/iter =  317.12  ROE[avg,max] = [0.216671317, 0.250000000]  radices =  28 16 16 16 16  0  0  0  0  0
      3840  msec/iter =  354.41  ROE[avg,max] = [0.220647321, 0.250000000]  radices = 960  8 16 16  0  0  0  0  0  0
      4096  msec/iter =  363.13  ROE[avg,max] = [0.215354701, 0.250000000]  radices = 1024  8 16 16  0  0  0  0  0  0
      4608  msec/iter =  425.03  ROE[avg,max] = [0.233621652, 0.312500000]  radices = 144  8  8 16 16  0  0  0  0  0
      5120  msec/iter =  475.89  ROE[avg,max] = [0.325892857, 0.375000000]  radices =  20 16 16 16 32  0  0  0  0  0
      5632  msec/iter =  525.06  ROE[avg,max] = [0.216992187, 0.265625000]  radices = 176  8  8 16 16  0  0  0  0  0
      6144  msec/iter =  555.82  ROE[avg,max] = [0.213281250, 0.250000000]  radices =  24 16 16 16 32  0  0  0  0  0
      6656  msec/iter =  623.24  ROE[avg,max] = [0.319866071, 0.375000000]  radices = 208  8  8 16 16  0  0  0  0  0
      7168  msec/iter =  650.94  ROE[avg,max] = [0.330357143, 0.375000000]  radices = 224  8  8 16 16  0  0  0  0  0
      7680  msec/iter =  765.44  ROE[avg,max] = [0.227678571, 0.281250000]  radices =  60 16 16 16 16  0  0  0  0  0
A57, SIMD code
Code:
      1024  msec/iter =   51.50  ROE[avg,max] = [0.241406250, 0.312500000]  radices =  32 32 32 16  0  0  0  0  0  0
      1152  msec/iter =   62.95  ROE[avg,max] = [0.221268136, 0.250000000]  radices = 288  8 16 16  0  0  0  0  0  0
      1280  msec/iter =   67.31  ROE[avg,max] = [0.240101842, 0.281250000]  radices =  40 32 32 16  0  0  0  0  0  0
      1408  msec/iter =   80.51  ROE[avg,max] = [0.244977679, 0.312500000]  radices =  44 32 32 16  0  0  0  0  0  0
      1536  msec/iter =   82.41  ROE[avg,max] = [0.227845982, 0.281250000]  radices =  24 32 32 32  0  0  0  0  0  0
      1664  msec/iter =   96.59  ROE[avg,max] = [0.222488839, 0.250000000]  radices =  52 32 32 16  0  0  0  0  0  0
      1792  msec/iter =   98.71  ROE[avg,max] = [0.225558036, 0.250000000]  radices =  56 32 32 16  0  0  0  0  0  0
      1920  msec/iter =  111.71  ROE[avg,max] = [0.234137835, 0.265625000]  radices =  60 32 32 16  0  0  0  0  0  0
      2048  msec/iter =  109.88  ROE[avg,max] = [0.228236607, 0.281250000]  radices =  32 32 32 32  0  0  0  0  0  0
      2304  msec/iter =  133.25  ROE[avg,max] = [0.250456892, 0.312500000]  radices =  36 32 32 32  0  0  0  0  0  0
      2560  msec/iter =  141.38  ROE[avg,max] = [0.245999581, 0.312500000]  radices =  40 32 32 32  0  0  0  0  0  0
      2816  msec/iter =  166.02  ROE[avg,max] = [0.263392857, 0.312500000]  radices = 176 32 16 16  0  0  0  0  0  0
      3072  msec/iter =  174.12  ROE[avg,max] = [0.224818638, 0.251953125]  radices =  48 32 32 32  0  0  0  0  0  0
      3328  msec/iter =  195.51  ROE[avg,max] = [0.280803571, 0.375000000]  radices = 208 32 16 16  0  0  0  0  0  0
      3584  msec/iter =  205.38  ROE[avg,max] = [0.223172433, 0.250000000]  radices =  56 32 32 32  0  0  0  0  0  0
      3840  msec/iter =  226.93  ROE[avg,max] = [0.249302455, 0.343750000]  radices = 240 16 16 32  0  0  0  0  0  0
      4096  msec/iter =  245.07  ROE[avg,max] = [0.228655134, 0.281250000]  radices = 256 32 16 16  0  0  0  0  0  0
      4608  msec/iter =  290.88  ROE[avg,max] = [0.249079241, 0.281250000]  radices = 288 16 16 32  0  0  0  0  0  0
      5120  msec/iter =  305.20  ROE[avg,max] = [0.237137277, 0.281250000]  radices = 160 32 32 16  0  0  0  0  0  0
      5632  msec/iter =  379.67  ROE[avg,max] = [0.232352121, 0.281250000]  radices = 176  8  8 16 16  0  0  0  0  0
      6144  msec/iter =  399.26  ROE[avg,max] = [0.234695871, 0.281250000]  radices =  48 16 16 16 16  0  0  0  0  0
      6656  msec/iter =  402.55  ROE[avg,max] = [0.262500000, 0.312500000]  radices = 208 32 32 16  0  0  0  0  0  0
      7168  msec/iter =  430.83  ROE[avg,max] = [0.225097656, 0.281250000]  radices = 224 32 32 16  0  0  0  0  0  0
      7680  msec/iter =  466.83  ROE[avg,max] = [0.237053571, 0.281250000]  radices = 240 32 32 16  0  0  0  0  0  0
So: median 48% speedup from non-SIMD to SIMD. Median 3.82x for 1 core to 4 cores, 7.38x for 1 core to 8 cores.

Last fiddled with by fivemack on 2017-11-09 at 15:57
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Old 2017-11-09, 16:02   #121
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Compare:

(e5/2690v3, AVX2)

Code:
1c  1024  msec/iter =   10.73  ROE[avg,max] = [0.231110491, 0.281250000]  radices =  32 16 32 32  0  0  0  0  0  0
4c  1024  msec/iter =    4.33  ROE[avg,max] = [0.234014452, 0.312500000]  radices =  32 16 32 32  0  0  0  0  0  0
8c  1024  msec/iter =    2.44  ROE[avg,max] = [0.234014452, 0.312500000]  radices =  32 16 32 32  0  0  0  0  0  0
16c 1024  msec/iter =    1.28  ROE[avg,max] = [0.234014452, 0.312500000]  radices =  32 16 32 32  0  0  0  0  0  0

Last fiddled with by fivemack on 2017-11-09 at 16:02
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≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔