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batch: Generate graphs for batch verification speed up
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This commit generates two semi-log graphs that visualize the batch
verification speed up over single verification (y-axis) wrt the number
of signatures (or tweak checks) in the batch (x-axis). The input data
points are taken from the batch verify benchmark.

GNU plot was used to generate these graphs (plot.gp file). The instructions
to reproduce these graphs (on your local machine) are given in
doc/speedup-batch.md file.

The value of `STRAUSS_MAX_TERMS_PER_BATCH` was calculated (approx) from
the generated graphs.
Relevant discussion: #2 (comment)
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siv2r committed Aug 21, 2022
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15 changes: 15 additions & 0 deletions doc/speedup-batch.md
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# Schnorrsig Batch Verification Speedup

![Speedup over single verification](speedup-batch/schnorrsig-speedup-batch.png)

# Tweak Pubkey Check Batch Verification Speedup

![Speedup over single verification](speedup-batch/tweakcheck-speedup-batch.png)

Build steps
-----------
To generate the above graphs on your local machine:

$ cd doc/speedup-batch
$ make
$ make speedup-batch.png
1 change: 1 addition & 0 deletions doc/speedup-batch/.gitignore
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*.dat
23 changes: 23 additions & 0 deletions doc/speedup-batch/Makefile
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schnorrsig_data = schnorrsig_batch.dat schnorrsig_single.dat
tweak_data = tweak_batch.dat tweak_single.dat

bench_output.txt: bench.sh
SECP256K1_BENCH_ITERS=500000 ./bench.sh bench_output.txt

schnorrsig_batch.dat: bench_output.txt
cat bench_output.txt | grep -v "schnorrsig_batch_verify_1 " | awk '{ gsub(/ /,""); print }' | awk -F, 'match($$0, /schnorrsig_batch_verify_([0-9]+)/, arr) {print arr[1] " " $$3}' > schnorrsig_batch.dat

schnorrsig_single.dat: bench_output.txt
cat bench_output.txt | awk '{ gsub(/ /,""); print }' | awk -F, 'match($$0, /schnorrsig_verify/) {print $$3}' > schnorrsig_single.dat

tweak_batch.dat: bench_output.txt
cat bench_output.txt | grep -v "tweak_check_batch_verify_1 " | awk '{ gsub(/ /,""); print }' | awk -F, 'match($$0, /tweak_check_batch_verify_([0-9]+)/, arr) {print arr[1] " " $$3}' > tweak_batch.dat

tweak_single.dat: bench_output.txt
cat bench_output.txt | awk '{ gsub(/ /,""); print }' | awk -F, 'match($$0, /tweak_add_check/) {print $$3}' > tweak_single.dat

speedup-batch.png: $(schnorrsig_data) $(tweak_data) plot.gp
gnuplot plot.gp

clean:
rm *.log *.txt *.dat *.png
13 changes: 13 additions & 0 deletions doc/speedup-batch/bench.sh
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#!/bin/bash

output_file=$1
cur_dir=$(pwd)

cd ../../
echo "HEAD: $(git rev-parse --short HEAD)" > "$cur_dir/$output_file.log"
make clean
./autogen.sh
./configure --enable-experimental --enable-module-batch --enable-module-schnorrsig >> "$cur_dir/$output_file.log"
make -j
./bench schnorrsig > "$cur_dir/$output_file"
./bench extrakeys >> "$cur_dir/$output_file"
137 changes: 137 additions & 0 deletions doc/speedup-batch/bench_output.txt
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Benchmark , Min(us) , Avg(us) , Max(us)

schnorrsig_sign , 50.4 , 50.5 , 50.7
schnorrsig_verify , 89.1 , 89.2 , 89.3
schnorrsig_batch_verify_1 , 104.0 , 104.0 , 104.0
schnorrsig_batch_verify_2 , 89.0 , 89.1 , 89.1
schnorrsig_batch_verify_3 , 84.1 , 84.1 , 84.1
schnorrsig_batch_verify_4 , 81.5 , 81.5 , 81.5
schnorrsig_batch_verify_5 , 79.9 , 79.9 , 79.9
schnorrsig_batch_verify_7 , 78.0 , 78.1 , 78.3
schnorrsig_batch_verify_9 , 77.0 , 77.0 , 77.1
schnorrsig_batch_verify_11 , 76.2 , 76.3 , 76.3
schnorrsig_batch_verify_14 , 75.6 , 75.6 , 75.6
schnorrsig_batch_verify_17 , 75.2 , 75.2 , 75.2
schnorrsig_batch_verify_21 , 74.8 , 74.8 , 74.8
schnorrsig_batch_verify_26 , 74.5 , 74.6 , 74.9
schnorrsig_batch_verify_32 , 74.3 , 74.5 , 74.7
schnorrsig_batch_verify_39 , 74.1 , 74.1 , 74.1
schnorrsig_batch_verify_47 , 73.9 , 73.9 , 73.9
schnorrsig_batch_verify_57 , 74.5 , 74.5 , 74.5
schnorrsig_batch_verify_69 , 74.3 , 74.3 , 74.5
schnorrsig_batch_verify_83 , 74.1 , 74.1 , 74.2
schnorrsig_batch_verify_100 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_121 , 74.1 , 74.1 , 74.2
schnorrsig_batch_verify_146 , 73.9 , 73.9 , 74.0
schnorrsig_batch_verify_176 , 74.0 , 74.2 , 74.5
schnorrsig_batch_verify_212 , 73.9 , 74.1 , 74.1
schnorrsig_batch_verify_255 , 74.0 , 74.0 , 74.1
schnorrsig_batch_verify_307 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_369 , 73.9 , 73.9 , 73.9
schnorrsig_batch_verify_443 , 73.9 , 74.1 , 74.3
schnorrsig_batch_verify_532 , 74.0 , 74.0 , 74.1
schnorrsig_batch_verify_639 , 73.9 , 74.0 , 74.0
schnorrsig_batch_verify_767 , 73.9 , 73.9 , 73.9
schnorrsig_batch_verify_921 , 74.0 , 74.0 , 74.1
schnorrsig_batch_verify_1106 , 73.9 , 73.9 , 73.9
schnorrsig_batch_verify_1328 , 73.9 , 74.1 , 74.2
schnorrsig_batch_verify_1594 , 74.0 , 74.1 , 74.1
schnorrsig_batch_verify_1913 , 74.0 , 74.0 , 74.0
schnorrsig_batch_verify_2296 , 74.0 , 74.0 , 74.0
schnorrsig_batch_verify_2756 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_3308 , 74.1 , 74.1 , 74.2
schnorrsig_batch_verify_3970 , 74.1 , 74.2 , 74.4
schnorrsig_batch_verify_4765 , 74.0 , 74.1 , 74.2
schnorrsig_batch_verify_5719 , 74.0 , 74.1 , 74.1
schnorrsig_batch_verify_6863 , 74.0 , 74.1 , 74.1
schnorrsig_batch_verify_8236 , 74.0 , 74.1 , 74.1
schnorrsig_batch_verify_9884 , 74.0 , 74.1 , 74.3
schnorrsig_batch_verify_11861 , 74.0 , 74.0 , 74.1
schnorrsig_batch_verify_14234 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_17081 , 73.9 , 73.9 , 73.9
schnorrsig_batch_verify_20498 , 73.9 , 74.0 , 74.0
schnorrsig_batch_verify_24598 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_29518 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_35422 , 73.9 , 73.9 , 73.9
schnorrsig_batch_verify_42507 , 73.9 , 74.0 , 74.0
schnorrsig_batch_verify_51009 , 73.9 , 74.1 , 74.3
schnorrsig_batch_verify_61211 , 73.9 , 73.9 , 74.0
schnorrsig_batch_verify_73454 , 73.9 , 74.0 , 74.3
schnorrsig_batch_verify_88145 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_105775 , 74.0 , 74.1 , 74.1
schnorrsig_batch_verify_126931 , 73.9 , 74.0 , 74.1
schnorrsig_batch_verify_152318 , 73.9 , 73.9 , 74.0
schnorrsig_batch_verify_182782 , 73.9 , 73.9 , 74.0
schnorrsig_batch_verify_219339 , 73.9 , 73.9 , 74.0
schnorrsig_batch_verify_263207 , 74.0 , 74.1 , 74.3
schnorrsig_batch_verify_315849 , 73.9 , 74.0 , 74.0
schnorrsig_batch_verify_379019 , 73.9 , 73.9 , 73.9
schnorrsig_batch_verify_454823 , 74.0 , 74.0 , 74.0
Benchmark , Min(us) , Avg(us) , Max(us)

tweak_add_check , 64.7 , 64.7 , 65.0
tweak_check_batch_verify_1 , 69.7 , 69.8 , 69.8
tweak_check_batch_verify_2 , 57.2 , 57.2 , 57.3
tweak_check_batch_verify_3 , 52.0 , 52.1 , 52.2
tweak_check_batch_verify_4 , 49.4 , 49.5 , 49.5
tweak_check_batch_verify_5 , 47.9 , 47.9 , 47.9
tweak_check_batch_verify_7 , 46.1 , 46.1 , 46.2
tweak_check_batch_verify_9 , 45.2 , 45.2 , 45.4
tweak_check_batch_verify_11 , 44.5 , 44.6 , 44.6
tweak_check_batch_verify_14 , 43.9 , 43.9 , 43.9
tweak_check_batch_verify_17 , 43.5 , 43.5 , 43.5
tweak_check_batch_verify_21 , 43.1 , 43.1 , 43.1
tweak_check_batch_verify_26 , 42.8 , 42.8 , 42.8
tweak_check_batch_verify_32 , 42.5 , 42.6 , 42.6
tweak_check_batch_verify_39 , 42.3 , 42.4 , 42.4
tweak_check_batch_verify_47 , 42.2 , 42.2 , 42.2
tweak_check_batch_verify_57 , 42.1 , 42.2 , 42.3
tweak_check_batch_verify_69 , 42.0 , 42.1 , 42.1
tweak_check_batch_verify_83 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_100 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_121 , 42.1 , 42.1 , 42.1
tweak_check_batch_verify_146 , 42.0 , 42.0 , 42.0
tweak_check_batch_verify_176 , 41.9 , 41.9 , 42.0
tweak_check_batch_verify_212 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_255 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_307 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_369 , 41.9 , 42.0 , 42.1
tweak_check_batch_verify_443 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_532 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_639 , 41.9 , 41.9 , 42.0
tweak_check_batch_verify_767 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_921 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_1106 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_1328 , 41.9 , 41.9 , 42.0
tweak_check_batch_verify_1594 , 41.9 , 41.9 , 42.0
tweak_check_batch_verify_1913 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_2296 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_2756 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_3308 , 41.9 , 41.9 , 42.0
tweak_check_batch_verify_3970 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_4765 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_5719 , 41.9 , 42.0 , 42.1
tweak_check_batch_verify_6863 , 42.0 , 42.0 , 42.0
tweak_check_batch_verify_8236 , 42.0 , 42.0 , 42.0
tweak_check_batch_verify_9884 , 41.9 , 41.9 , 42.0
tweak_check_batch_verify_11861 , 41.9 , 42.0 , 42.1
tweak_check_batch_verify_14234 , 41.9 , 42.0 , 42.0
tweak_check_batch_verify_17081 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_20498 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_24598 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_29518 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_35422 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_42507 , 41.8 , 41.8 , 41.9
tweak_check_batch_verify_51009 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_61211 , 41.8 , 41.8 , 41.8
tweak_check_batch_verify_73454 , 41.8 , 42.0 , 42.2
tweak_check_batch_verify_88145 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_105775 , 41.8 , 41.8 , 41.8
tweak_check_batch_verify_126931 , 41.8 , 41.9 , 41.9
tweak_check_batch_verify_152318 , 41.8 , 41.9 , 42.0
tweak_check_batch_verify_182782 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_219339 , 41.9 , 42.0 , 42.0
tweak_check_batch_verify_263207 , 41.9 , 42.0 , 42.1
tweak_check_batch_verify_315849 , 41.9 , 41.9 , 41.9
tweak_check_batch_verify_379019 , 41.9 , 41.9 , 42.0
tweak_check_batch_verify_454823 , 41.9 , 41.9 , 41.9
127 changes: 127 additions & 0 deletions doc/speedup-batch/bench_output.txt.log
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HEAD: 6ddb0d0c
checking build system type... x86_64-pc-linux-gnu
checking host system type... x86_64-pc-linux-gnu
checking for a BSD-compatible install... /usr/bin/install -c
checking whether build environment is sane... yes
checking for a thread-safe mkdir -p... /usr/bin/mkdir -p
checking for gawk... gawk
checking whether make sets $(MAKE)... yes
checking whether make supports nested variables... yes
checking whether make supports nested variables... (cached) yes
checking for gcc... gcc
checking whether the C compiler works... yes
checking for C compiler default output file name... a.out
checking for suffix of executables...
checking whether we are cross compiling... no
checking for suffix of object files... o
checking whether we are using the GNU C compiler... yes
checking whether gcc accepts -g... yes
checking for gcc option to accept ISO C89... none needed
checking whether gcc understands -c and -o together... yes
checking whether make supports the include directive... yes (GNU style)
checking dependency style of gcc... gcc3
checking dependency style of gcc... gcc3
checking for ar... ar
checking the archiver (ar) interface... ar
checking how to print strings... printf
checking for a sed that does not truncate output... /usr/bin/sed
checking for grep that handles long lines and -e... /usr/bin/grep
checking for egrep... /usr/bin/grep -E
checking for fgrep... /usr/bin/grep -F
checking for ld used by gcc... /usr/bin/ld
checking if the linker (/usr/bin/ld) is GNU ld... yes
checking for BSD- or MS-compatible name lister (nm)... /usr/bin/nm -B
checking the name lister (/usr/bin/nm -B) interface... BSD nm
checking whether ln -s works... yes
checking the maximum length of command line arguments... 1572864
checking how to convert x86_64-pc-linux-gnu file names to x86_64-pc-linux-gnu format... func_convert_file_noop
checking how to convert x86_64-pc-linux-gnu file names to toolchain format... func_convert_file_noop
checking for /usr/bin/ld option to reload object files... -r
checking for objdump... objdump
checking how to recognize dependent libraries... pass_all
checking for dlltool... no
checking how to associate runtime and link libraries... printf %s\n
checking for archiver @FILE support... @
checking for strip... strip
checking for ranlib... ranlib
checking command to parse /usr/bin/nm -B output from gcc object... ok
checking for sysroot... no
checking for a working dd... /usr/bin/dd
checking how to truncate binary pipes... /usr/bin/dd bs=4096 count=1
checking for mt... mt
checking if mt is a manifest tool... no
checking how to run the C preprocessor... gcc -E
checking for ANSI C header files... yes
checking for sys/types.h... yes
checking for sys/stat.h... yes
checking for stdlib.h... yes
checking for string.h... yes
checking for memory.h... yes
checking for strings.h... yes
checking for inttypes.h... yes
checking for stdint.h... yes
checking for unistd.h... yes
checking for dlfcn.h... yes
checking for objdir... .libs
checking if gcc supports -fno-rtti -fno-exceptions... no
checking for gcc option to produce PIC... -fPIC -DPIC
checking if gcc PIC flag -fPIC -DPIC works... yes
checking if gcc static flag -static works... yes
checking if gcc supports -c -o file.o... yes
checking if gcc supports -c -o file.o... (cached) yes
checking whether the gcc linker (/usr/bin/ld -m elf_x86_64) supports shared libraries... yes
checking whether -lc should be explicitly linked in... no
checking dynamic linker characteristics... GNU/Linux ld.so
checking how to hardcode library paths into programs... immediate
checking whether stripping libraries is possible... yes
checking if libtool supports shared libraries... yes
checking whether to build shared libraries... yes
checking whether to build static libraries... yes
checking if gcc supports -Werror=unknown-warning-option... no
checking if gcc supports -std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef... yes
checking if gcc supports -Wno-overlength-strings... yes
checking if gcc supports -Wall... yes
checking if gcc supports -Wno-unused-function... yes
checking if gcc supports -Wextra... yes
checking if gcc supports -Wcast-align... yes
checking if gcc supports -Wcast-align=strict... yes
checking if gcc supports -Wconditional-uninitialized... no
checking if gcc supports -fvisibility=hidden... yes
checking for valgrind support... yes
checking for x86_64 assembly availability... yes
configure: ******
configure: WARNING: experimental build
configure: Experimental features do not have stable APIs or properties, and may not be safe for production use.
configure: Building batch verification module: yes
configure: ******
checking that generated files are newer than configure... done
configure: creating ./config.status
config.status: creating Makefile
config.status: creating libsecp256k1.pc
config.status: creating src/libsecp256k1-config.h
config.status: src/libsecp256k1-config.h is unchanged
config.status: executing depfiles commands
config.status: executing libtool commands

Build Options:
with external callbacks = no
with benchmarks = yes
with tests = yes
with coverage = no
with examples = no
module ecdh = no
module recovery = no
module extrakeys = yes
module schnorrsig = yes
module batch = yes

asm = x86_64
ecmult window size = 15
ecmult gen prec. bits = 4

valgrind = yes
CC = gcc
CPPFLAGS =
SECP_CFLAGS = -O2 -std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef -Wno-overlength-strings -Wall -Wno-unused-function -Wextra -Wcast-align -Wcast-align=strict -fvisibility=hidden
CFLAGS = -g -O2
LDFLAGS =
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