Hi JP,

thanks. Did you notice that the make tuneup caused an error. Did you mean
to do make speed?

It's not at all clear to me which is the better assembly source. We only
care about the speed of the basecase up to the crossover with karatsuba,
which seems to be very low, maybe 14 (assuming that make error didn't
affect things).

>From 1-13 limbs 10 of the 13 values are lower with Jason's code. So I think
we should stick with it on the atom.

But I'll wait for you to confirm that the make error didn't actually stop
speed being rebuilt.

Bill.


On 18 February 2014 10:24, Jean-Pierre Flori <jpfl...@gmail.com> wrote:

> Here are proper timings for both sqr_squarebase and kara_sqr_n on atom in
> 64bit mode.
> It seems the generic assembly is slightly faster.
> For some reason the tuning utility build failed, I'll have a look tonight.
>
>
> # with mpn/x86_64/atom/mpn_sqr_basecase
>
> overhead 0.000000005 secs, precision 1000000 units of 6.00e-10 secs, CPU
> freq 1667.00 MHz
>         mpn_sqr_basecase
> 1         0.000000016
> 2         0.000000043
> 3         0.000000104
> 4         0.000000176
> 5         0.000000249
> 6         0.000000334
> 7         0.000000432
> 8         0.000000544
> 9         0.000000670
> 10        0.000000808
>
> 11        0.000000959
> 12        0.000001124
> 13        0.000001303
> 14        0.000001502
> 15        0.000001706
> 16        0.000001924
> 17        0.000002155
> 18        0.000002415
>
> 19        0.000002655
> 20        0.000002926
> 21        0.000003210
> 22        0.000003506
> 23        0.000003815
> 24        0.000004157
>
> 25        0.000004486
> 26        0.000004834
> 27        0.000005197
> 28        0.000005582
> 29        0.000005963
> 30        0.000006364
> 31        0.000006780
> 32        0.000007218
> 33        0.000007680
> 34        0.000008165
> 35        0.000008641
> 36        0.000009172
> 37        0.000009654
> 38        0.000010184
> 39        0.000010713
> 40        0.000011271
> 41        0.000011829
> 42        0.000012377
> 43        0.000012970
> 44        0.000013585
> 45        0.000014193
> 46        0.000014788
> 47        0.000015423
> 48        0.000016112
> 49        0.000016762
> 50        0.000017411
> 51        0.000018119
> 52        0.000018861
> 53        0.000019578
> 54        0.000020279
> 55        0.000021021
> 56        0.000021816
> 57        0.000022594
> 58        0.000023349
> 59        0.000024162
> 60        0.000024999
> 61        0.000025832
> 62        0.000026648
> 63        0.000027486
> 64        0.000028397
> 65        0.000029334
> 66        0.000030221
> 67        0.000031158
> 68        0.000032094
> 69        0.000033024
> 70        0.000033927
> 71        0.000034871
> 72        0.000035875
> 73        0.000036867
> 74        0.000037832
> 75        0.000038838
> 76        0.000039895
> 77        0.000040944
> 78        0.000041958
> 79        0.000043020
> 80        0.000044112
> 81        0.000045487
> 82        0.000046551
> 83        0.000047637
> 84        0.000048805
> 85        0.000049928
> 86        0.000051082
> 87        0.000052226
> 88        0.000053445
> 89        0.000054623
> 90        0.000055803
> 91        0.000056999
> 92        0.000058272
> 93        0.000059503
> 94        0.000060762
> 95        0.000062011
> 96        0.000063335
> 97        0.000069153
> 98        0.000065906
> 99        0.000067208
> 100       0.000068585
>
> overhead 0.000000005 secs, precision 1000000 units of 6.00e-10 secs, CPU
> freq 1667.00 MHz
>         mpn_kara_sqr_n
> 1                 n/a
> 2                 n/a
> 3                 n/a
> 4                 n/a
> 5                 n/a
> 6                 n/a
> 7                 n/a
> 8         0.000000638
> 9         0.000000797
> 10        0.000000875
> 11        0.000001057
> 12        0.000001139
> 13        0.000001349
> 14        0.000001444
> 15        0.000001691
> 16        0.000001795
> 17        0.000002069
> 18        0.000002185
> 19        0.000002482
> 20        0.000002608
> 21        0.000002933
> 22        0.000003071
> 23        0.000003424
> 24        0.000003576
> 25        0.000003956
> 26        0.000004129
> 27        0.000004556
> 28        0.000004739
> 29        0.000005170
> 30        0.000005368
> 31        0.000005809
> 32        0.000006024
> 33        0.000006499
> 34        0.000006735
> 35        0.000007253
> 36        0.000007504
> 37        0.000007531
> 38        0.000007734
> 39        0.000008046
> 40        0.000008152
> 41        0.000008886
> 42        0.000009114
> 43        0.000009428
> 44        0.000009562
> 45        0.000010374
> 46        0.000010622
> 47        0.000010947
> 48        0.000011071
> 49        0.000011944
> 50        0.000012230
> 51        0.000012603
> 52        0.000012782
> 53        0.000013684
> 54        0.000014049
> 55        0.000014461
> 56        0.000014620
> 57        0.000015542
> 58        0.000015954
> 59        0.000016354
> 60        0.000016542
> 61        0.000017496
> 62        0.000017854
> 63        0.000018321
> 64        0.000018526
> 65        0.000019526
> 66        0.000019964
> 67        0.000020452
> 68        0.000020684
> 69        0.000021760
> 70        0.000022234
> 71        0.000022777
> 72        0.000023000
> 73        0.000023233
> 74        0.000023192
> 75        0.000023532
> 76        0.000023743
> 77        0.000024519
> 78        0.000024677
> 79        0.000024947
> 80        0.000025113
> 81        0.000026618
> 82        0.000027324
> 83        0.000027783
> 84        0.000028011
> 85        0.000028706
> 86        0.000028869
> 87        0.000029194
> 88        0.000029295
> 89        0.000031048
> 90        0.000031847
> 91        0.000032358
> 92        0.000032591
> 93        0.000033331
> 94        0.000033540
> 95        0.000033855
> 96        0.000034065
> 97        0.000035837
> 98        0.000036601
> 99        0.000037108
> 100       0.000037399
> make  tuneup
> make[1]: entrant dans le répertoire « /home/choupi/mpir/tune »
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mul.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c tdiv_qr.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c toom4_mul_n.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c toom4_mul.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c toom3_mul.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c toom3_mul_n.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c toom8h_mul.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c toom8_sqr_n.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mulmod_2expm1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c rootrem.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c divrem_euclidean_r_1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c divrem_hensel_qr_1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c rsh_divrem_hensel_qr_1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c dc_divappr_q.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c dc_div_qr.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c dc_div_qr_n.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c inv_divappr_q.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c inv_div_qr.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c tdiv_q.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c dc_bdiv_qr.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c dc_bdiv_qr_n.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c dc_bdiv_q.c
> for i in split_bits.c revbin.c normmod_2expp1.c mulmod_2expp1.c
> mul_trunc_sqrt2.c mul_mfa_trunc_sqrt2.c mul_fft_main.c mul_2expmod_2expp1.c
> ifft_trunc_sqrt2.c ifft_trunc.c ifft_radix2.c ifft_negacyclic.c fft_trunc.c
> fft_radix2.c fft_negacylic.c fft_mfa_trunc_sqrt2.c
> fft_mfa_trunc_sqrt2_inner.c fermat_to_mpz.c div_2expmod_2expp1.c
> combine_bits.c butterfly_rshB.c butterfly_lshB.c adjust_sqrt2.c adjust.c;
> do \
>       echo "#define TUNE_PROGRAM_BUILD 1" >$i; \
>       echo "#include \"fft/$i\"" >>$i; \
>     done
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c split_bits.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c revbin.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c normmod_2expp1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mulmod_2expp1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mul_trunc_sqrt2.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mul_mfa_trunc_sqrt2.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mul_fft_main.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mul_2expmod_2expp1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c ifft_trunc_sqrt2.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c ifft_trunc.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c ifft_radix2.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c ifft_negacyclic.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c fft_trunc.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c fft_radix2.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c fft_negacylic.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c fft_mfa_trunc_sqrt2.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c fft_mfa_trunc_sqrt2_inner.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c fermat_to_mpz.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c div_2expmod_2expp1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c combine_bits.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c butterfly_rshB.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c butterfly_lshB.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c adjust_sqrt2.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c adjust.c
> echo "#define TUNE_PROGRAM_BUILD 1"                >divrem_1.c
> echo "#define __gmpn_divrem_1  mpn_divrem_1_tune" >>divrem_1.c
> echo "#include \"mpn/generic/divrem_1.c\""        >>divrem_1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c divrem_1.c
> echo "#define TUNE_PROGRAM_BUILD 1"          >mod_1.c
> echo "#define __gmpn_mod_1  mpn_mod_1_tune" >>mod_1.c
> echo "#include \"mpn/generic/mod_1.c\""     >>mod_1.c
> gcc -std=gnu99 -DHAVE_CONFIG_H -I. -I.. -I.. -I../tests    -m64 -O2
> -march=atom -mtune=atom -c mod_1.c
> /bin/bash ../libtool --tag=CC   --mode=link gcc -std=gnu99  -m64 -O2
> -march=atom -mtune=atom -static  -o tuneup tuneup.o sqr_basecase.o
> divrem_2.o gcd.o gcdext.o get_str.o mul_n.o mullow_n.o mulhigh_n.o mul.o
> tdiv_qr.o toom4_mul_n.o toom4_mul.o toom3_mul.o toom3_mul_n.o toom8h_mul.o
> toom8_sqr_n.o mulmod_2expm1.o rootrem.o divrem_euclidean_r_1.o
> divrem_hensel_qr_1.o rsh_divrem_hensel_qr_1.o dc_divappr_q.o dc_div_qr.o
> dc_div_qr_n.o inv_divappr_q.o inv_div_qr.o tdiv_q.o dc_bdiv_qr.o
> dc_bdiv_qr_n.o dc_bdiv_q.o split_bits.o revbin.o normmod_2expp1.o
> mulmod_2expp1.o mul_trunc_sqrt2.o mul_mfa_trunc_sqrt2.o mul_fft_main.o
> mul_2expmod_2expp1.o ifft_trunc_sqrt2.o ifft_trunc.o ifft_radix2.o
> ifft_negacyclic.o fft_trunc.o fft_radix2.o fft_negacylic.o
> fft_mfa_trunc_sqrt2.o fft_mfa_trunc_sqrt2_inner.o fermat_to_mpz.o
> div_2expmod_2expp1.o combine_bits.o butterfly_rshB.o butterfly_lshB.o
> adjust_sqrt2.o adjust.o divrem_1.o mod_1.o  libspeed.la
> libtool: link: gcc -std=gnu99 -m64 -O2 -march=atom -mtune=atom -o tuneup
> tuneup.o sqr_basecase.o divrem_2.o gcd.o gcdext.o get_str.o mul_n.o
> mullow_n.o mulhigh_n.o mul.o tdiv_qr.o toom4_mul_n.o toom4_mul.o
> toom3_mul.o toom3_mul_n.o toom8h_mul.o toom8_sqr_n.o mulmod_2expm1.o
> rootrem.o divrem_euclidean_r_1.o divrem_hensel_qr_1.o
> rsh_divrem_hensel_qr_1.o dc_divappr_q.o dc_div_qr.o dc_div_qr_n.o
> inv_divappr_q.o inv_div_qr.o tdiv_q.o dc_bdiv_qr.o dc_bdiv_qr_n.o
> dc_bdiv_q.o split_bits.o revbin.o normmod_2expp1.o mulmod_2expp1.o
> mul_trunc_sqrt2.o mul_mfa_trunc_sqrt2.o mul_fft_main.o mul_2expmod_2expp1.o
> ifft_trunc_sqrt2.o ifft_trunc.o ifft_radix2.o ifft_negacyclic.o fft_trunc.o
> fft_radix2.o fft_negacylic.o fft_mfa_trunc_sqrt2.o
> fft_mfa_trunc_sqrt2_inner.o fermat_to_mpz.o div_2expmod_2expp1.o
> combine_bits.o butterfly_rshB.o butterfly_lshB.o adjust_sqrt2.o adjust.o
> divrem_1.o mod_1.o  ./.libs/libspeed.a /home/choupi/mpir/.libs/libmpir.a -lm
> tuneup.o: file not recognized: File truncated
> collect2: ld returned 1 exit status
> make[1]: *** [tuneup] Erreur 1
> make[1]: quittant le répertoire « /home/choupi/mpir/tune »
> make: *** [tune] Erreur 2
> overhead 0.000000007 secs, precision 1000000 units of 6.00e-10 secs, CPU
> freq 1667.00 MHz
>         mpn_sqr_basecase
> 1         0.000000033
> 2         0.000000064
> 3         0.000000112
> 4         0.000000177
> 5         0.000000284
> 6         0.000000393
> 7         0.000000512
> 8         0.000000645
> 9         0.000000782
> 10        0.000000936
> 11        0.000000893
> 12        0.000001045
> 13        0.000001211
> 14        0.000001384
> 15        0.000001574
> 16        0.000001774
> 17        0.000002184
> 18        0.000002492
> 19        0.000002830
> 20        0.000003123
> 21        0.000003278
> 22        0.000003647
> 23        0.000003506
> 24        0.000003808
> 25        0.000004109
> 26        0.000004432
> 27        0.000004772
> 28        0.000005406
> 29        0.000005979
> 30        0.000006342
> 31        0.000006793
> 32        0.000007469
> 33        0.000007715
> 34        0.000007496
> 35        0.000007880
> 36        0.000008317
> 37        0.000008775
> 38        0.000009243
> 39        0.000009716
> 40        0.000011395
> 41        0.000012117
> 42        0.000011332
> 43        0.000011761
> 44        0.000012274
> 45        0.000012836
> 46        0.000014248
> 47        0.000015515
> 48        0.000015599
> 49        0.000015158
> 50        0.000015758
> 51        0.000016389
> 52        0.000017025
> 53        0.000017758
> 54        0.000021210
> 55        0.000021674
> 56        0.000020952
> 57        0.000021985
> 58        0.000021063
> 59        0.000021775
> 60        0.000023977
> 61        0.000023240
> 62        0.000023989
> 63        0.000024749
> 64        0.000025527
> 65        0.000026310
> 66        0.000027106
> 67        0.000027913
> 68        0.000028738
> 69        0.000029568
> 70        0.000030413
> 71        0.000031267
> 72        0.000032139
> 73        0.000033018
> 74        0.000033909
> 75        0.000034812
> 76        0.000035730
> 77        0.000036656
> 78        0.000037595
> 79        0.000038544
> 80        0.000039512
> 81        0.000040674
> 82        0.000041803
> 83        0.000042467
> 84        0.000044026
> 85        0.000044502
> 86        0.000045816
> 87        0.000046580
> 88        0.000047936
> 89        0.000048709
> 90        0.000059347
> 91        0.000050885
> 92        0.000052231
> 93        0.000053105
> 94        0.000054451
> 95        0.000055382
> 96        0.000056924
> 97        0.000057692
> 98        0.000059067
> 99        0.000060058
> 100       0.000061432
>
> overhead 0.000000005 secs, precision 1000000 units of 6.00e-10 secs, CPU
> freq 1667.00 MHz
>         mpn_kara_sqr_n
> 1                 n/a
> 2                 n/a
> 3                 n/a
> 4                 n/a
> 5                 n/a
> 6                 n/a
> 7                 n/a
> 8         0.000000536
> 9         0.000000737
> 10        0.000000809
> 11        0.000000996
> 12        0.000001059
> 13        0.000001277
> 14        0.000001431
> 15        0.000001591
> 16        0.000001676
> 17        0.000001942
> 18        0.000002045
> 19        0.000002329
> 20        0.000002443
> 21        0.000002752
> 22        0.000002872
> 23        0.000003209
> 24        0.000003337
> 25        0.000004098
> 26        0.000004494
> 27        0.000004249
> 28        0.000004392
> 29        0.000004814
> 30        0.000004963
> 31        0.000005427
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> 100       0.000035127
>
>
>

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