Created
January 25, 2018 00:47
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Powers of Tau attestation #45
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| The BLAKE2b hash of `./response` is: | |
| 7b55c0f5 68a8b4df 2ca14085 2e816df2 | |
| b9a2dafe 50b2c5e2 5e6c9b6a df239de0 | |
| 223a9866 aba481a8 436fbd42 04a2c48a | |
| 43725d94 2de47b23 c10c5e87 38fd6467 | |
| The main feature of this contribution is that it was computed with an | |
| independent implementation of Powers of Tau. | |
| My implementation, which I am open sourcing now at [1], was not public at the | |
| time of computation. It is written in Go, shares no code with the main Rust | |
| implementation, and uses the RELIC library for BLS12-381. The only detail that | |
| was copied verbatim from the Rust codebase is the value of the curve | |
| coefficient, but that's being resolved at [2]. The Zcash Company sponsored | |
| this effort, but it was proposed and conducted by me independently. | |
| The computation was simply performed on my main MacBook Pro, where the code | |
| was developed. The laptop was rebooted after the computation and before | |
| re-enabling Wi-Fi and reopening the browser. The git hash of the codebase was | |
| 26a0231c674ec6043ef77997d33d94787c55634a, the Go version 1.9.2, extra entropy | |
| was fed to /dev/random before starting. | |
| The full terminal transcript follows below. | |
| This attestation is signed with a minisign/signify key published at [3]. | |
| [1] https://github.com/FiloSottile/powersoftau | |
| [2] https://github.com/relic-toolkit/relic/issues/64 | |
| [3] https://twitter.com/FiloSottile/status/956325095013863425 | |
| --- | |
| ➜ powersoftau alias download | |
| download='aria2c --check-certificate=true --http-accept-gzip=true -s 16 -k 5M -x 4 -j 16' | |
| ➜ powersoftau download https://s3-us-west-2.amazonaws.com/powersoftau/UPK2HSUb3XsjWDcyXkiAALsCyCNmIpwl/challenge | |
| 01/24 16:04:29 [NOTICE] Downloading 1 item(s) | |
| [#430007 0B/0B CN:1 DL:0B] | |
| 01/24 16:04:31 [NOTICE] Allocating disk space. Use --file-allocation=none to disable it. See --file-allocation option in man page for more details. | |
| *** Download Progress Summary as of Wed Jan 24 16:05:30 2018 *** | |
| ================================================================================================================= | |
| [#430007 69MiB/1.1GiB(6%) CN:4 DL:1.1MiB ETA:15m7s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:06:31 2018 *** | |
| ================================================================================================================= | |
| [#430007 139MiB/1.1GiB(12%) CN:4 DL:1.2MiB ETA:13m46s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:07:31 2018 *** | |
| ================================================================================================================= | |
| [#430007 212MiB/1.1GiB(18%) CN:4 DL:1.2MiB ETA:12m9s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:08:32 2018 *** | |
| ================================================================================================================= | |
| [#430007 281MiB/1.1GiB(24%) CN:4 DL:1.1MiB ETA:12m8s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:09:32 2018 *** | |
| ================================================================================================================= | |
| [#430007 357MiB/1.1GiB(31%) CN:4 DL:1.3MiB ETA:9m37s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:10:33 2018 *** | |
| ================================================================================================================= | |
| [#430007 447MiB/1.1GiB(38%) CN:4 DL:1.4MiB ETA:7m54s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:11:33 2018 *** | |
| ================================================================================================================= | |
| [#430007 536MiB/1.1GiB(46%) CN:4 DL:1.4MiB ETA:6m57s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:12:34 2018 *** | |
| ================================================================================================================= | |
| [#430007 622MiB/1.1GiB(54%) CN:4 DL:1.4MiB ETA:5m56s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:13:35 2018 *** | |
| ================================================================================================================= | |
| [#430007 710MiB/1.1GiB(61%) CN:4 DL:1.3MiB ETA:5m16s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:14:35 2018 *** | |
| ================================================================================================================= | |
| [#430007 796MiB/1.1GiB(69%) CN:4 DL:1.4MiB ETA:4m7s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:15:36 2018 *** | |
| ================================================================================================================= | |
| [#430007 860MiB/1.1GiB(74%) CN:4 DL:592KiB ETA:8m23s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:16:37 2018 *** | |
| ================================================================================================================= | |
| [#430007 0.9GiB/1.1GiB(81%) CN:4 DL:1.3MiB ETA:2m43s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:17:37 2018 *** | |
| ================================================================================================================= | |
| [#430007 0.9GiB/1.1GiB(87%) CN:4 DL:1.1MiB ETA:2m9s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| *** Download Progress Summary as of Wed Jan 24 16:18:38 2018 *** | |
| ================================================================================================================= | |
| [#430007 1.0GiB/1.1GiB(94%) CN:4 DL:1.4MiB ETA:45s] | |
| FILE: /Users/filippo/tmp/powersoftau/challenge | |
| ----------------------------------------------------------------------------------------------------------------- | |
| [#430007 1.1GiB/1.1GiB(99%) CN:1 DL:588KiB] | |
| 01/24 16:19:38 [NOTICE] Download complete: /Users/filippo/tmp/powersoftau/challenge | |
| Download Results: | |
| gid |stat|avg speed |path/URI | |
| ======+====+===========+======================================================= | |
| 430007|OK | 1.2MiB/s|/Users/filippo/tmp/powersoftau/challenge | |
| Status Legend: | |
| (OK):download completed. | |
| ➜ powersoftau b2sum challenge | |
| 16b675d33a1b26aaae65054bc9b6dbf977b41f3fc946f19ac0e669c0bb288a88a5baec4e808e78d7ce448d1225ba99ce9767c3885de50dd328417a11ccb6705b challenge | |
| ➜ powersoftau git clone /Users/filippo/src/github.com/FiloSottile/powersoftau ./src/github.com/FiloSottile/powersoftau | |
| Cloning into './src/github.com/FiloSottile/powersoftau'... | |
| done. | |
| ➜ powersoftau export GOPATH=$PWD | |
| ➜ powersoftau go build -work -x -v github.com/FiloSottile/powersoftau/cmd/taucompute | |
| WORK=/var/folders/cm/zzcl1fjx27sc8sf3s6sd_0vw0000gn/T/go-build678128314 | |
| github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b | |
| github.com/FiloSottile/powersoftau/internal/chacha20 | |
| github.com/FiloSottile/powersoftau/bls12 | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/internal/chacha20/_obj/ | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/compile -o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b.a -trimpath $WORK -goversion go1.9.2 -p github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b -buildid c3de0d4d3d45d7ac7634a4173e618bf8552fce8e -D _/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b -I $WORK -pack -asmhdr $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/go_asm.h ./blake2b.go ./blake2bAVX2_amd64.go ./blake2b_generic.go ./blake2x.go ./register.go | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/internal/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/internal/chacha20 | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/compile -o $WORK/github.com/FiloSottile/powersoftau/internal/chacha20.a -trimpath $WORK -goversion go1.9.2 -p github.com/FiloSottile/powersoftau/internal/chacha20 -complete -buildid 5b887c21c0c2f5f9331b22aaae0d980bc6b02dd2 -D _/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/internal/chacha20 -I $WORK -pack ./chacha_generic.go | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/ | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 | |
| CGO_LDFLAGS="-g" "-O2" "/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/lib/librelic_s.a" /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/cgo -objdir $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ -importpath github.com/FiloSottile/powersoftau/bls12 -- -I $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include g1.go g2.go relic.go | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/asm -trimpath $WORK -I $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/ -I /usr/local/Cellar/go/1.9.2/libexec/pkg/include -D GOOS_darwin -D GOARCH_amd64 -o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2bAVX2_amd64.o ./blake2bAVX2_amd64.s | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/asm -trimpath $WORK -I $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/ -I /usr/local/Cellar/go/1.9.2/libexec/pkg/include -D GOOS_darwin -D GOARCH_amd64 -o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2b_amd64.o ./blake2b_amd64.s | |
| pack r $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b.a $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2bAVX2_amd64.o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2b_amd64.o # internal | |
| # github.com/FiloSottile/powersoftau/bls12 | |
| src/github.com/FiloSottile/powersoftau/bls12/g1.go:3:11: fatal error: 'relic_core.h' file not found | |
| #include "relic_core.h" | |
| ^~~~~~~~~~~~~~ | |
| 1 error generated. | |
| ➜ powersoftau cd ./src/github.com/FiloSottile/powersoftau | |
| ➜ powersoftau git:(master) git submodule init | |
| Submodule 'relic' (https://github.com/relic-toolkit/relic) registered for path 'bls12/relic' | |
| ➜ powersoftau git:(master) git status | |
| On branch master | |
| Your branch is up to date with 'origin/master'. | |
| nothing to commit, working tree clean | |
| ➜ powersoftau git:(master) git show-ref HEAD | |
| 26a0231c674ec6043ef77997d33d94787c55634a refs/remotes/origin/HEAD | |
| ➜ powersoftau git:(master) make | |
| rm -rf bls12/build && mkdir bls12/build | |
| cd bls12/build && cmake -DALLOC=DYNAMIC -DFP_PRIME=381 \ | |
| -DSHLIB=off -DSTLIB=on -DRAND=UDEV -DTESTS=1 -DBENCH=0 \ | |
| -DCOMP="-O3 -funroll-loops -Wno-unused-function" ../relic | |
| CMake Error: The source directory "/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic" does not appear to contain CMakeLists.txt. | |
| Specify --help for usage, or press the help button on the CMake GUI. | |
| make: *** [relic] Error 1 | |
| ➜ powersoftau git:(master) git submodule update | |
| Cloning into '/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic'... | |
| Submodule path 'bls12/relic': checked out '5784facac01fc27fd9960cb8a9065b0a60b140ff' | |
| ➜ powersoftau git:(master) make | |
| rm -rf bls12/build && mkdir bls12/build | |
| cd bls12/build && cmake -DALLOC=DYNAMIC -DFP_PRIME=381 \ | |
| -DSHLIB=off -DSTLIB=on -DRAND=UDEV -DTESTS=1 -DBENCH=0 \ | |
| -DCOMP="-O3 -funroll-loops -Wno-unused-function" ../relic | |
| -- The C compiler identification is AppleClang 9.0.0.9000039 | |
| -- The CXX compiler identification is AppleClang 9.0.0.9000039 | |
| -- Check for working C compiler: /Library/Developer/CommandLineTools/usr/bin/cc | |
| -- Check for working C compiler: /Library/Developer/CommandLineTools/usr/bin/cc -- works | |
| -- Detecting C compiler ABI info | |
| -- Detecting C compiler ABI info - done | |
| -- Detecting C compile features | |
| -- Detecting C compile features - done | |
| -- Check for working CXX compiler: /Library/Developer/CommandLineTools/usr/bin/c++ | |
| -- Check for working CXX compiler: /Library/Developer/CommandLineTools/usr/bin/c++ -- works | |
| -- Detecting CXX compiler ABI info | |
| -- Detecting CXX compiler ABI info - done | |
| -- Detecting CXX compile features | |
| -- Detecting CXX compile features - done | |
| -- Configuring RELIC 0.4.1... | |
| -- Available switches (default = CHECK, VERBS, DOCUM): | |
| DEBUG=[off|on] Build with debugging support. | |
| PROFL=[off|on] Build with profiling support. | |
| CHECK=[off|on] Build with error-checking support. | |
| VERBS=[off|on] Build with detailed error messages. | |
| TRACE=[off|on] Build with tracing support. | |
| OVERH=[off|on] Build with overhead estimation. | |
| DOCUM=[off|on] Build documentation. | |
| STRIP=[off|on] Build only selected algorithms. | |
| QUIET=[off|on] Build with printing disabled. | |
| COLOR=[off|on] Build with colored output. | |
| BIGED=[off|on] Build with big-endian support. | |
| SHLIB=[off|on] Build shared library. | |
| STLIB=[off|on] Build static library. | |
| STBIN=[off|on] Build static binaries. | |
| AMALG=[off|on] Build amalgamation for better performance. | |
| -- Number of times each test or benchmark is ran (default = 50, 1000): | |
| TESTS=n If n > 0, build automated tests and run them n times. | |
| BENCH=n If n > 0, build automated benchmarks and run them n * n times. | |
| -- Number of available processor cores (default = 1): | |
| CORES=n If n > 1, please enable multithreading support. | |
| -- Available modules (default = ALL) | |
| WITH=BN Multiple precision arithmetic. | |
| WITH=DV Temporary double-precision digit vectors. | |
| WITH=FP Prime field arithmetic. | |
| WITH=FPX Prime extension field arithmetic. | |
| WITH=FB Binary field arithmetic. | |
| WITH=EP Elliptic curves over prime fields. | |
| WITH=EPX Elliptic curves over quadratic extensions of prime fields. | |
| WITH=EB Elliptic curves over binary fields. | |
| WITH=ED Elliptic Edwards curves over prime fields. | |
| WTTH=EC Elliptic curve cryptography. | |
| WITH=PB Pairings over binary elliptic curves. | |
| WITH=PP Pairings over prime elliptic curves. | |
| WTTH=PC Pairing-based cryptography. | |
| WITH=BC Block ciphers (symmetric encryption). | |
| WITH=MD Message digests (hash functions). | |
| WITH=CP Cryptographic protocols. | |
| WITH=ALL All of the above. | |
| Note: the programmer is responsible for not using unselected modules. | |
| -- Available arithmetic backends (default = easy): | |
| ARITH=easy Easy-to-understand implementation. | |
| ARITH=gmp GNU Multiple Precision library. | |
| -- Available memory-allocation policies (default = AUTO): | |
| ALLOC=AUTO All memory is automatically allocated. | |
| ALLOC=STATIC All memory is allocated statically once. | |
| ALLOC=DYNAMIC All memory is allocated dynamically on demand. | |
| ALLOC=STACK All memory is allocated from the stack. | |
| -- Supported operating systems (default = LINUX): | |
| OPSYS= Undefined/No specific operating system. | |
| OPSYS=LINUX GNU/Linux operating system. | |
| OPSYS=FREEBSD FreeBSD operating system. | |
| OPSYS=MACOSX Mac OS X operating system. | |
| OPSYS=WINDOWS Windows operating system. | |
| OPSYS=DROID Android operating system. | |
| OPSYS=DUINO Arduino platform. | |
| -- Supported multithreading APIs (default = UNDEF): | |
| MULTI= No multithreading support. | |
| MULTI=OPENMP Open Multi-Processing. | |
| MULTI=PTHREAD POSIX threads. | |
| -- Supported timers (default = HPROC): | |
| TIMER= No timer. | |
| TIMER=HREAL GNU/Linux realtime high-resolution timer. | |
| TIMER=HPROC GNU/Linux per-process high-resolution timer. | |
| TIMER=HTHRD GNU/Linux per-thread high-resolution timer. | |
| TIMER=ANSI ANSI-compatible timer. | |
| TIMER=POSIX POSIX-compatible timer. | |
| TIMER=CYCLE Cycle-counting timer. (architecture-dependant) | |
| -- Prefix to identify this build of the library (default = ""): | |
| LABEL=relic | |
| -- Available architectures (default = X64): | |
| ARCH= No specific architecture (disable some features). | |
| ARCH=AVR Atmel AVR ATMega128 8-bit architecture. | |
| ARCH=MSP TI MSP430 16-bit architecture. | |
| ARCH=ARM ARM 32-bit architecture. | |
| ARCH=X86 Intel x86-compatible 32-bit architecture. | |
| ARCH=X64 AMD x86_64-compatible 64-bit architecture. | |
| -- Available word sizes (default = 64): | |
| WORD=8 Build a 8-bit library. | |
| WORD=16 Build a 16-bit library. | |
| WORD=32 Build a 32-bit library. | |
| WORD=64 Build a 64-bit library. | |
| -- Byte boundary to align digit vectors (default = 1): | |
| ALIGN=1 Do not align digit vectors. | |
| ALIGN=2 Align digit vectors into 16-bit boundaries. | |
| ALIGN=8 Align digit vectors into 64-bit boundaries. | |
| ALIGN=16 Align digit vectors into 128-bit boundaries. | |
| -- Multiple precision arithmetic configuration (BN module): | |
| ** Options for the multiple precision module (default = 1024,DOUBLE,0): | |
| BN_PRECI=n The base precision in bits. Let w be n in words. | |
| BN_MAGNI=DOUBLE A multiple precision integer can store 2w words. | |
| BN_MAGNI=CARRY A multiple precision integer can store w+1 words. | |
| BN_MAGNI=SINGLE A multiple precision integer can store w words. | |
| BN_KARAT=n The number of Karatsuba steps. | |
| ** Available multiple precision arithmetic methods (default = COMBA;COMBA;MONTY;SLIDE;STEIN;BASIC): | |
| Integer multiplication: | |
| BN_METHD=BASIC Schoolbook multiplication. | |
| BN_METHD=COMBA Comba multiplication. | |
| Integer squaring: | |
| BN_METHD=BASIC Schoolbook squaring. | |
| BN_METHD=COMBA Comba squaring. | |
| BN_METHD=MULTP Reuse multiplication for squaring. | |
| Modular reduction: | |
| BN_METHD=BASIC Division-based modular reduction. | |
| BN_METHD=BARRT Barrett modular reduction. | |
| BN_METHD=MONTY Montgomery modular reduction. | |
| BN_METHD=RADIX Diminished radix modular reduction. | |
| Modular exponentiation: | |
| BN_METHD=BASIC Binary modular exponentiation. | |
| BN_METHD=MONTY Montgomery powering ladder. | |
| BN_METHD=SLIDE Sliding window modular exponentiation. | |
| Greatest Common Divisor: | |
| BN_METHD=BASIC Euclid's standard GCD algorithm. | |
| BN_METHD=LEHME Lehmer's fast GCD algorithm. | |
| BN_METHD=STEIN Stein's binary GCD algorithm. | |
| Prime generation: | |
| BN_METHD=BASIC Basic prime generation. | |
| BN_METHD=SAFEP Safe prime generation. | |
| BN_METHD=STRON Strong prime generation. | |
| -- Prime field arithmetic configuration (FP module): | |
| ** Arithmetic precision of the prime field module (default = 256,0,off,off): | |
| FP_PRIME=n The prime modulus size in bits. | |
| FP_KARAT=n The number of Karatsuba levels. | |
| FP_PMERS=[off|on] Prefer Pseudo-Mersenne primes over random primes. | |
| FP_QNRES=[off|on] Use -1 as quadratic non-residue (make sure that p = 3 mod 8). | |
| FP_WIDTH=w Width w in [2,6] of window processing for exponentiation methods. | |
| ** Available prime field arithmetic methods (default = BASIC;COMBA;COMBA;MONTY;MONTY;SLIDE): | |
| Field addition | |
| FP_METHD=BASIC Schoolbook addition. | |
| FP_METHD=INTEG Integrated modular addition. | |
| Field multiplication | |
| FP_METHD=BASIC Schoolbook multiplication. | |
| FP_METHD=INTEG Integrated modular multiplication. | |
| FP_METHD=COMBA Comba multiplication. | |
| Field squaring | |
| FP_METHD=BASIC Schoolbook squaring. | |
| FP_METHD=INTEG Integrated modular squaring. | |
| FP_METHD=COMBA Comba squaring. | |
| FP_METHD=MULTP Reuse multiplication for squaring. | |
| Modular reduction | |
| FP_METHD=BASIC Division-based reduction. | |
| FP_METHD=QUICK Fast reduction modulo special form prime (2^t - c, c > 0). | |
| FP_METHD=MONTY Montgomery modular reduction. | |
| Field inversion | |
| FP_METHD=BASIC Inversion by Fermat's Little Theorem. | |
| FP_METHD=BINAR Binary Inversion algorithm. | |
| FP_METHD=MONTY Montgomery inversion. | |
| FP_METHD=EXGCD Inversion by the Extended Euclidean algorithm. | |
| FP_METHD=LOWER Pass inversion to the lower level. | |
| Field exponentiation | |
| FP_METHD=BASIC Binary exponentiation. | |
| FP_METHD=SLIDE Sliding window exponentiation. | |
| FP_METHD=MONTY Constant-time Montgomery powering ladder. | |
| -- Prime extension field arithmetic configuration (FPX module): | |
| ** Available bilinear pairing methods (default = BASIC;BASIC;BASIC): | |
| Quadratic extension arithmetic: | |
| FPX_METHD=BASIC Basic quadratic extension field arithmetic. | |
| FPX_METHD=INTEG Quadratic extension field arithmetic with embedded modular reduction. | |
| Cubic extension arithmetic: | |
| FPX_METHD=BASIC Basic cubic extension field arithmetic. | |
| FPX_METHD=INTEG Cubic extension field arithmetic with embedded modular reduction. | |
| Extension field arithmetic: | |
| FPX_METHD=BASIC Basic extension field arithmetic. | |
| FPX_METHD=LAZYR Lazy-reduced extension field arithmetic. | |
| -- Binary field arithmetic configuration (FB module): | |
| ** Options for the binary elliptic curve module (default = 283,0,on,on,on): | |
| FB_POLYN=n The irreducible polynomial size in bits. | |
| FB_KARAT=n The number of Karatsuba levels. | |
| FB_TRINO=[off|on] Prefer trinomials. | |
| FB_SQRTF=[off|on] Prefer square-root friendly polynomials. | |
| FB_PRECO=[off|on] Precompute multiplication table for sqrt(z). | |
| FB_WIDTH=w Width w in [2,6] of window processing for exponentiation methods. | |
| ** Available binary field arithmetic methods (default = LODAH;LUTBL;QUICK;BASIC;QUICK;QUICK;EXGCD;SLIDE;QUICK): | |
| Field multiplication: | |
| FB_METHD=BASIC Right-to-left shift-and-add multiplication. | |
| FB_METHD=INTEG Integrated modular multiplication. | |
| FB_METHD=RCOMB Right-to-left comb multiplication. | |
| FB_METHD=LCOMB Left-to-right comb multiplication. | |
| FB_METHD=LODAH L�pez-Dahab comb multiplication with window of width 4. | |
| Field squaring: | |
| FB_METHD=BASIC Bit manipulation squaring. | |
| FB_METHD=INTEG Integrated modular squaring. | |
| FB_METHD=LUTBL Table-based squaring. | |
| Modular reduction: | |
| FB_METHD=BASIC Shift-and-add modular reduction. | |
| FB_METHD=QUICK Fast reduction modulo a trinomial or pentanomial. | |
| Field square root: | |
| FB_METHD=BASIC Square root by repeated squaring. | |
| FB_METHD=QUICK Fast square root extraction. | |
| Trace computation: | |
| FB_METHD=BASIC Trace computation by repeated squaring. | |
| FB_METHD=QUICK Fast trace computation. | |
| Quadratic equation solver: | |
| FB_METHD=BASIC Solve a quadratic equation by half-trace computation. | |
| FB_METHD=QUICK Fast solving with precomputed half-traces. | |
| Field inversion: | |
| FB_METHD=BASIC Inversion by Fermat's Little Theorem. | |
| FB_METHD=BINAR Binary Inversion algorithm. | |
| FB_METHD=ALMOS Inversion by the Amost inverse algorithm. | |
| FB_METHD=EXGCD Inversion by the Extended Euclidean algorithm. | |
| FB_METHD=ITOHT Inversion by Itoh-Tsuji. | |
| FB_METHD=BRUCH Hardware-friendly inversion by Brunner et al. | |
| FB_METHD=LOWER Pass inversion to the lower level. | |
| Field exponentiation: | |
| FB_METHD=BASIC Binary exponentiation. | |
| FB_METHD=SLIDE Sliding window exponentiation. | |
| FB_METHD=MONTY Constant-time Montgomery powering ladder. | |
| Iterated squaring/square-root: | |
| FB_METHD=BASIC Iterated squaring/square-root by consecutive squaring/square-root. | |
| FB_METHD=QUICK Iterated squaring/square-root by table-based method. | |
| -- Prime elliptic curve arithmetic configuration (EP module): | |
| ** Options for the prime elliptic curve module (default = all on): | |
| EP_PLAIN=[off|on] Support for ordinary curves without endomorphisms. | |
| EP_SUPER=[off|on] Support for supersingular curves. | |
| EP_ENDOM=[off|on] Support for ordinary curves with endomorphisms. | |
| EP_MIXED=[off|on] Use mixed coordinates. | |
| EP_PRECO=[off|on] Build precomputation table for generator. | |
| EP_DEPTH=w Width w in [2,8] of precomputation table for fixed point methods. | |
| EP_WIDTH=w Width w in [2,6] of window processing for unknown point methods. | |
| ** Available prime elliptic curve methods (default = PROJC;LWNAF;COMBS;INTER): | |
| Point representation: | |
| EP_METHD=BASIC Affine coordinates. | |
| EP_METHD=PROJC Jacobian projective coordinates. | |
| Variable-base scalar multiplication: | |
| EP_METHD=BASIC Binary method. | |
| EP_METHD=LWNAF Left-to-right window NAF method (GLV for Koblitz curves). | |
| Fixed-base scalar multiplication: | |
| EP_METHD=BASIC Binary method for fixed point multiplication. | |
| EP_METHD=YAOWI Yao's windowing method for fixed point multiplication | |
| EP_METHD=NAFWI NAF windowing method for fixed point multiplication. | |
| EP_METHD=COMBS Single-table Comb method for fixed point multiplication. | |
| EP_METHD=COMBD Double-table Comb method for fixed point multiplication. | |
| EP_METHD=LWNAF Left-to-right window NAF method (GLV for Koblitz curves). | |
| Variable-base simultaneous scalar multiplication: | |
| EP_METHD=BASIC Multiplication-and-addition simultaneous multiplication. | |
| EP_METHD=TRICK Shamir's trick for simultaneous multiplication. | |
| EP_METHD=INTER Interleaving of window NAFs (GLV for Koblitz curves). | |
| EP_METHD=JOINT Joint sparse form. | |
| -- Binary elliptic curve arithmetic configuration (EB module): | |
| ** Options for the binary elliptic curve module (default = on, w = 4): | |
| EB_PLAIN=[off|on] Support for ordinary curves without endomorphisms. | |
| EB_KBLTZ=[off|on] Support for Koblitz anomalous binary curves. | |
| EB_MIXED=[off|on] Use mixed coordinates. | |
| EB_PRECO=[off|on] Build precomputation table for generator. | |
| EB_DEPTH=w Width w in [2,8] of precomputation table for fixed point methods. | |
| EB_WIDTH=w Width w in [2,6] of window processing for unknown point methods. | |
| ** Available binary elliptic curve methods (default = PROJC;LWNAF;COMBS;INTER): | |
| Point representation: | |
| EB_METHD=BASIC Affine coordinates. | |
| EB_METHD=PROJC Projective coordinates (L�pez-Dahab for ordinary curves). | |
| Variable-base scalar multiplication: | |
| EB_METHD=BASIC Binary double-and-add method. | |
| EB_METHD=LODAH Lopez-Dahab constant-time point multiplication. | |
| EB_METHD=LWNAF Left-to-right window (T)NAF method. | |
| EB_METHD=RWNAF Right-to-left window (T)NAF method. | |
| EB_METHD=HALVE Halving method. | |
| Fixed-base scalar multiplication: | |
| EB_METHD=BASIC Binary method for fixed point multiplication. | |
| EB_METHD=YAOWI Yao's windowing method for fixed point multiplication | |
| EB_METHD=NAFWI NAF windowing method for fixed point multiplication. | |
| EB_METHD=COMBS Single-table Comb method for fixed point multiplication. | |
| EB_METHD=COMBD Double-table Comb method for fixed point multiplication. | |
| EB_METHD=LWNAF Left-to-right window (T)NAF method. | |
| Variable-base simultaneous scalar multiplication: | |
| EB_METHD=BASIC Multiplication-and-addition simultaneous multiplication. | |
| EB_METHD=TRICK Shamir's trick for simultaneous multiplication. | |
| EB_METHD=INTER Interleaving of window (T)NAFs. | |
| EB_METHD=JOINT Joint sparse form. | |
| -- Elliptic Edwards curve over prime fields arithmetic configuration (ED module): | |
| ** Options for the prime elliptic Edwards curve module (default = all on): | |
| ED_PRECO=[off|on] Build precomputation table for generator. | |
| ED_DEPTH=w Width w in [2,6] of precomputation table for fixed point methods. | |
| ED_WIDTH=w Width w in [2,6] of window processing for unknown point methods. | |
| ** Available prime elliptic Edwards curve methods (default = PROJC;LWNAF;COMBS;INTER): | |
| EP_METHD=PROJC Simple projective twisted Edwards coordinates. | |
| EP_METHD=EXTND Extended projective twisted Edwards coordinates. | |
| *** variable-base multiplication method *** | |
| ED_METHD=BASIC Binary method. | |
| ED_METHD=SLIDE Sliding window method. | |
| ED_METHD=MONTY Montgomery ladder method. | |
| ED_METHD=FIXED 2-bit fixed window method. | |
| ED_METHD=LWNAF Left-to-right window NAF method (GLV for Koblitz curves). | |
| *** fixed-base multiplication method *** | |
| ED_METHD=BASIC Binary method for fixed point multiplication. | |
| ED_METHD=YAOWI Yao's windowing method for fixed point multiplication | |
| ED_METHD=NAFWI NAF windowing method for fixed point multiplication. | |
| ED_METHD=COMBS Single-table Comb method for fixed point multiplication. | |
| ED_METHD=COMBD Double-table Comb method for fixed point multiplication. | |
| ED_METHD=LWNAF Left-to-right window NAF method (GLV for Koblitz curves). | |
| ED_METHD=LWNAF_MIXED Left-to-right window NAF mixed method (GLV for Koblitz curves). | |
| *** variable-base simultaneous multiplication method *** | |
| ED_METHD=BASIC Multiplication-and-addition simultaneous multiplication. | |
| ED_METHD=TRICK Shamir's trick for simultaneous multiplication. | |
| ED_METHD=INTER Interleaving of window NAFs (GLV for Koblitz curves). | |
| ED_METHD=JOINT Joint sparse form. | |
| Note: these methods must be given in order. Ex: ED_METHD="EXTND;LWNAF;COMBD;TRICK" | |
| -- Elliptic curve cryptography configuration (EC module): | |
| ** Options for the binary elliptic curve module (default = on): | |
| EC_ENDOM=[off|on] Prefer (prime or binary) curves with endomorphisms. | |
| ** Available elliptic curve methods (default = PRIME): | |
| EC_METHD=PRIME Use prime curves. | |
| EC_METHD=CHAR2 Use binary curves. | |
| EC_METHD=EDWARD Use prime Edwards curves. | |
| -- Bilinear pairings arithmetic configuration (PP module): | |
| ** Available bilinear pairing methods (default = BASIC;OATEP): | |
| Extension field arithmetic: | |
| PP_METHD=BASIC Basic extension field arithmetic. | |
| PP_METHD=LAZYR Lazy reduced extension field arithmetic. | |
| Pairing computation: | |
| PP_METHD=TATEP Tate pairing. | |
| PP_METHD=WEILP Weil pairing. | |
| PP_METHD=OATEP Optimal ate pairing. | |
| -- Message digest configuration (MD module): | |
| ** Available hash functions (default = SH256): | |
| MD_METHD=SHONE SHA-1 hash function. | |
| MD_METHD=SH224 SHA-224 hash function. | |
| MD_METHD=SH256 SHA-256 hash function. | |
| MD_METHD=SH384 SHA-384 hash function. | |
| MD_METHD=SH512 SHA-512 hash function. | |
| MD_METHD=B2S160 BLAKE2s-160 hash function. | |
| MD_METHD=B2S256 BLAKE2s-256 hash function. | |
| -- Cryptographic protocols configuration (CP module): | |
| ** Options for the cryptographic protocols module (default = PKCS1): | |
| CP_RSAPD=BASIC RSA with basic padding. | |
| CP_RSAPD=PKCS1 RSA with PKCS#1 v1.5 padding. | |
| CP_RSAPD=PKCS2 RSA with PKCS#1 v2.1 padding. | |
| ** Available cryptographic protocols methods (default = QUICK;BASIC): | |
| CP_METHD=BASIC Slow RSA decryption/signature. | |
| CP_METHD=QUICK Fast RSA decryption/signature using CRT. | |
| -- Available pseudo-random number generators (default = HASH): | |
| RAND=HASH Use the HASH-DRBG generator. (recommended) | |
| RAND=UDEV Use the operating system underlying generator. | |
| RAND=FIPS Use the FIPS 186-2 (CN1) SHA1-based generator. | |
| RAND=CALL Override the generator with a callback. | |
| -- Available random number generator seeders (default = UDEV): | |
| SEED=WCGR Use Windows' CryptGenRandom. (recommended) | |
| SEED=DEV Use blocking /dev/random. (recommended) | |
| SEED=UDEV Use non-blocking /dev/urandom. (recommended) | |
| SEED=LIBC Use the libc rand()/random() functions. (insecure!) | |
| SEED=ZERO Use a zero seed. (insecure!) | |
| -- Configured operating system: MACOSX | |
| -- Compiler flags: -pipe -std=c99 -m64 -Wall -O3 -funroll-loops -Wno-unused-function | |
| -- Linker flags: -L/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/src/low/easy/ | |
| -- Configured /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include/relic_conf.h.in | |
| -- Could NOT find Doxygen (missing: DOXYGEN_EXECUTABLE) | |
| -- Configuring done | |
| -- Generating done | |
| -- Build files have been written to: /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build | |
| make -C bls12/build | |
| Scanning dependencies of target arith_objs | |
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| /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/src/epx/relic_ep2_curve.c:448:11: warning: incompatible pointer types passing 'fp2_st' (aka 'fp_st [2]') | |
| to parameter of type 'fp_t *' (aka 'unsigned long long **') [-Wincompatible-pointer-types] | |
| fp2_copy(ctx->ep2_a, a); | |
| ^~~~~~~~~~ | |
| /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include/relic_fpx.h:610:21: note: passing argument to parameter 'c' here | |
| void fp2_copy(fp2_t c, fp2_t a); | |
| ^ | |
| /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/src/epx/relic_ep2_curve.c:449:11: warning: incompatible pointer types passing 'fp2_st' (aka 'fp_st [2]') | |
| to parameter of type 'fp_t *' (aka 'unsigned long long **') [-Wincompatible-pointer-types] | |
| fp2_copy(ctx->ep2_b, b); | |
| ^~~~~~~~~~ | |
| /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include/relic_fpx.h:610:21: note: passing argument to parameter 'c' here | |
| void fp2_copy(fp2_t c, fp2_t a); | |
| ^ | |
| 2 warnings generated. | |
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| make -C bls12/build test | |
| Running tests... | |
| Test project /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build | |
| Start 1: test_err | |
| 1/18 Test #1: test_err ......................... Passed 0.00 sec | |
| Start 2: test_bn | |
| 2/18 Test #2: test_bn .......................... Passed 86.08 sec | |
| Start 3: test_dv | |
| 3/18 Test #3: test_dv .......................... Passed 0.00 sec | |
| Start 4: test_fp | |
| 4/18 Test #4: test_fp .......................... Passed 0.06 sec | |
| Start 5: test_fpx | |
| 5/18 Test #5: test_fpx ......................... Passed 0.32 sec | |
| Start 6: test_fb | |
| 6/18 Test #6: test_fb .......................... Passed 1.97 sec | |
| Start 7: test_fbx | |
| 7/18 Test #7: test_fbx ......................... Passed 1.88 sec | |
| Start 8: test_ep | |
| 8/18 Test #8: test_ep .......................... Passed 1.21 sec | |
| Start 9: test_epx | |
| 9/18 Test #9: test_epx ......................... Passed 1.67 sec | |
| Start 10: test_eb | |
| 10/18 Test #10: test_eb .......................... Passed 5.70 sec | |
| Start 11: test_ed | |
| 11/18 Test #11: test_ed .......................... Passed 0.00 sec | |
| Start 12: test_ec | |
| 12/18 Test #12: test_ec .......................... Passed 0.26 sec | |
| Start 13: test_pc | |
| 13/18 Test #13: test_pc .......................... Passed 8.22 sec | |
| Start 14: test_pp | |
| 14/18 Test #14: test_pp .......................... Passed 3.03 sec | |
| Start 15: test_md | |
| 15/18 Test #15: test_md .......................... Passed 0.91 sec | |
| Start 16: test_cp | |
| 16/18 Test #16: test_cp .......................... Passed 4.46 sec | |
| Start 17: test_rand | |
| 17/18 Test #17: test_rand ........................ Passed 0.00 sec | |
| Start 18: test_core | |
| 18/18 Test #18: test_core ........................ Passed 0.00 sec | |
| 100% tests passed, 0 tests failed out of 18 | |
| Total Test time (real) = 115.80 sec | |
| ➜ powersoftau git:(master) popd | |
| ~/tmp/powersoftau ~/tmp ~ | |
| ➜ powersoftau go build -work -x -v github.com/FiloSottile/powersoftau/cmd/taucompute | |
| WORK=/var/folders/cm/zzcl1fjx27sc8sf3s6sd_0vw0000gn/T/go-build005436582 | |
| github.com/FiloSottile/powersoftau/bls12 | |
| github.com/FiloSottile/powersoftau/internal/chacha20 | |
| github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/internal/chacha20/_obj/ | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 | |
| CGO_LDFLAGS="-g" "-O2" "/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/lib/librelic_s.a" /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/cgo -objdir $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ -importpath github.com/FiloSottile/powersoftau/bls12 -- -I $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include g1.go g2.go relic.go | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/internal/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/ | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/internal/chacha20 | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/compile -o $WORK/github.com/FiloSottile/powersoftau/internal/chacha20.a -trimpath $WORK -goversion go1.9.2 -p github.com/FiloSottile/powersoftau/internal/chacha20 -complete -buildid 5b887c21c0c2f5f9331b22aaae0d980bc6b02dd2 -D _/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/internal/chacha20 -I $WORK -pack ./chacha_generic.go | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/compile -o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b.a -trimpath $WORK -goversion go1.9.2 -p github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b -buildid c3de0d4d3d45d7ac7634a4173e618bf8552fce8e -D _/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b -I $WORK -pack -asmhdr $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/go_asm.h ./blake2b.go ./blake2bAVX2_amd64.go ./blake2b_generic.go ./blake2x.go ./register.go | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/asm -trimpath $WORK -I $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/ -I /usr/local/Cellar/go/1.9.2/libexec/pkg/include -D GOOS_darwin -D GOARCH_amd64 -o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2bAVX2_amd64.o ./blake2bAVX2_amd64.s | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/asm -trimpath $WORK -I $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/ -I /usr/local/Cellar/go/1.9.2/libexec/pkg/include -D GOOS_darwin -D GOARCH_amd64 -o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2b_amd64.o ./blake2b_amd64.s | |
| pack r $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b.a $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2bAVX2_amd64.o $WORK/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b/_obj/blake2b_amd64.o # internal | |
| cd $WORK | |
| clang -fdebug-prefix-map=a=b -c trivial.c | |
| clang -gno-record-gcc-switches -c trivial.c | |
| cd $WORK/github.com/FiloSottile/powersoftau/bls12/_obj | |
| clang -I /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -I ./ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include -o ./_cgo_export.o -c _cgo_export.c | |
| clang -I /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -I ./ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include -o ./g1.cgo2.o -c g1.cgo2.c | |
| clang -I /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -I ./ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include -o ./g2.cgo2.o -c g2.cgo2.c | |
| clang -I /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -I ./ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include -o ./relic.cgo2.o -c relic.cgo2.c | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 | |
| clang -I . -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -I $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include -o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g1.o -c g1.c | |
| clang -I . -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -I $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include -o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g2.o -c g2.c | |
| cd $WORK/github.com/FiloSottile/powersoftau/bls12/_obj | |
| clang -I /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -I ./ -g -O2 -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/relic/include -I/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12/build/include -o ./_cgo_main.o -c _cgo_main.c | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 | |
| clang -I . -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_main.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_export.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g1.cgo2.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g2.cgo2.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/relic.cgo2.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g1.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g2.o -g -O2 ./build/lib/librelic_s.a | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/cgo -dynpackage bls12 -dynimport $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_.o -dynout $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_import.go | |
| cd $WORK | |
| clang -no-pie -c trivial.c | |
| clang -nopie -c trivial.c | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 | |
| clang -I . -fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=$WORK=/tmp/go-build -gno-record-gcc-switches -fno-common -o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_all.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_export.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g1.cgo2.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g2.cgo2.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/relic.cgo2.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g1.o $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g2.o -g -O2 -Wl,-r -nostdlib -nopie | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/compile -o $WORK/github.com/FiloSottile/powersoftau/bls12.a -trimpath $WORK -goversion go1.9.2 -p github.com/FiloSottile/powersoftau/bls12 -buildid 795bb89520b3d585c3c8cde87559539fc9d838f8 -D _/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/bls12 -I $WORK -pack $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_gotypes.go $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g1.cgo1.go $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/g2.cgo1.go $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/relic.cgo1.go $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_cgo_import.go | |
| pack r $WORK/github.com/FiloSottile/powersoftau/bls12.a $WORK/github.com/FiloSottile/powersoftau/bls12/_obj/_all.o # internal | |
| github.com/FiloSottile/powersoftau/powersoftau | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/powersoftau/_obj/ | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/powersoftau | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/compile -o $WORK/github.com/FiloSottile/powersoftau/powersoftau.a -trimpath $WORK -goversion go1.9.2 -p github.com/FiloSottile/powersoftau/powersoftau -complete -buildid a9b395216ec6fe202d8c186afa0491ae73b23831 -importmap golang.org/x/crypto/blake2b=github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b -D _/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/powersoftau -I $WORK -I /Users/filippo/tmp/powersoftau/pkg/darwin_amd64 -pack ./compute.go ./encoding.go ./hash_to_g2.go ./publickey.go | |
| github.com/FiloSottile/powersoftau/cmd/taucompute | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/cmd/taucompute/_obj/ | |
| mkdir -p $WORK/github.com/FiloSottile/powersoftau/cmd/taucompute/_obj/exe/ | |
| cd /Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/cmd/taucompute | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/compile -o $WORK/github.com/FiloSottile/powersoftau/cmd/taucompute.a -trimpath $WORK -goversion go1.9.2 -p main -complete -buildid 1b02555f803cf474e73eebff2edf0a026f2565a5 -D _/Users/filippo/tmp/powersoftau/src/github.com/FiloSottile/powersoftau/cmd/taucompute -I $WORK -I /Users/filippo/tmp/powersoftau/pkg/darwin_amd64 -pack ./main.go | |
| cd . | |
| /usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64/link -o $WORK/github.com/FiloSottile/powersoftau/cmd/taucompute/_obj/exe/a.out -L $WORK -L /Users/filippo/tmp/powersoftau/pkg/darwin_amd64 -extld=clang -buildmode=exe -buildid=1b02555f803cf474e73eebff2edf0a026f2565a5 $WORK/github.com/FiloSottile/powersoftau/cmd/taucompute.a | |
| mv $WORK/github.com/FiloSottile/powersoftau/cmd/taucompute/_obj/exe/a.out taucompute | |
| ➜ powersoftau mv /var/folders/cm/zzcl1fjx27sc8sf3s6sd_0vw0000gn/T/go-build005436582 . | |
| ➜ powersoftau ls -l | |
| total 2379944 | |
| -rw-r--r-- 1 filippo staff 1207959712 24 Jan 16:19 challenge | |
| drwx------ 5 filippo staff 160 24 Jan 16:27 go-build005436582 | |
| drwxr-xr-x 3 filippo staff 96 24 Jan 16:21 src | |
| -rwxr-xr-x 1 filippo staff 10567000 24 Jan 16:27 taucompute | |
| ➜ powersoftau b2sum taucompute go-build005436582/**/*.a | |
| 8e018640f69e81f844985f6aa4df70df7f291faad3a7f03b3401410daf6389a274c52648d24ae94595727cddaaae10de893022edcf15c51473b9c7e4ab51236f taucompute | |
| 44d6fec75fc9739fdc28d8f3d9eb9f1429c5537ac109ca341e0f5d2c036546b30864d54bd6c749f73f7e0081f98fff02f9d55e3b010c9ddf8fc79db12aa1e210 go-build005436582/github.com/FiloSottile/powersoftau/bls12.a | |
| c241649f8d76c24476d180f8087f8c2b1b2cea0bd70b0d41d1f78e886303b3213377107786345fc88bab8b574fc222162786f4b95a75ba204b9afa14c9c1e20a go-build005436582/github.com/FiloSottile/powersoftau/cmd/taucompute.a | |
| e68261086dc3d7d22470d32351103da8cb52b67d84e54f11da9f58c8618f9e68208bff4a6c4df389e49edcc21fa528c5a8c094c7676fea14a1c6f19ffb436734 go-build005436582/github.com/FiloSottile/powersoftau/internal/chacha20.a | |
| 15101004a5624459a5188add5172e380b85e65dbe9f93e430186f4bd2656a2dc583b499bc206f9f62bd0160c6eb912dd71e17633ce7c8810cb4af10b3a4f5c39 go-build005436582/github.com/FiloSottile/powersoftau/powersoftau.a | |
| cbe5f621c29fea6f3577abacabdc04f60d59c79eb2737f2ca258fa0dbfb018771af0c58548c3c9011fa476b967db61546ff77fd0198263b485bad099443e694f go-build005436582/github.com/FiloSottile/powersoftau/vendor/golang.org/x/crypto/blake2b.a | |
| ➜ powersoftau go version | |
| go version go1.9.2 darwin/amd64 | |
| ➜ powersoftau go env | |
| GOARCH="amd64" | |
| GOBIN="" | |
| GOEXE="" | |
| GOHOSTARCH="amd64" | |
| GOHOSTOS="darwin" | |
| GOOS="darwin" | |
| GOPATH="/Users/filippo/tmp/powersoftau" | |
| GORACE="" | |
| GOROOT="/usr/local/Cellar/go/1.9.2/libexec" | |
| GOTOOLDIR="/usr/local/Cellar/go/1.9.2/libexec/pkg/tool/darwin_amd64" | |
| GCCGO="gccgo" | |
| CC="clang" | |
| GOGCCFLAGS="-fPIC -m64 -pthread -fno-caret-diagnostics -Qunused-arguments -fmessage-length=0 -fdebug-prefix-map=/var/folders/cm/zzcl1fjx27sc8sf3s6sd_0vw0000gn/T/go-build806951846=/tmp/go-build -gno-record-gcc-switches -fno-common" | |
| CXX="clang++" | |
| CGO_ENABLED="1" | |
| CGO_CFLAGS="-g -O2" | |
| CGO_CPPFLAGS="" | |
| CGO_CXXFLAGS="-g -O2" | |
| CGO_FFLAGS="-g -O2" | |
| CGO_LDFLAGS="-g -O2" | |
| PKG_CONFIG="pkg-config" | |
| ➜ powersoftau sudo -s | |
| Password: | |
| bash-3.2# cat > /dev/random | |
| [REDACTED] | |
| bash-3.2# exit | |
| ➜ powersoftau ./taucompute | |
| 2018/01/24 16:37:01 Reading challenge... | |
| 2018/01/24 16:40:43 Starting computation... | |
| 2018/01/24 20:14:54 Writing response... | |
| 2018/01/24 20:18:49 Done! | |
| Your contribution has been written to `./response` | |
| The BLAKE2b hash of `./response` is: | |
| 7b55c0f5 68a8b4df 2ca14085 2e816df2 | |
| b9a2dafe 50b2c5e2 5e6c9b6a df239de0 | |
| 223a9866 aba481a8 436fbd42 04a2c48a | |
| 43725d94 2de47b23 c10c5e87 38fd6467 | |
| ➜ powersoftau cc --version | |
| Apple LLVM version 9.0.0 (clang-900.0.39.2) | |
| Target: x86_64-apple-darwin17.3.0 | |
| Thread model: posix | |
| InstalledDir: /Library/Developer/CommandLineTools/usr/bin | |
| ➜ powersoftau pbpaste > log.txt |
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| untrusted comment: signature from minisign secret key | |
| RWQ2Ckf/dP6HcQgvBGD33fPa9tvOq04PKY56L7vcWx+BpGSSzYucy+11xTy6j5T9svogOzvzfFJCv0Q87yPer+Aynx080ciHuQU= | |
| trusted comment: timestamp:1516841172 file:attestation.txt | |
| mX9WF896i8tl9gJsvqOBWrAqf4ScBLKpHrfsD/IUcHIbP/z0QEE6eyROVSqAE/fURzR9y0PS7Ax9J+1cUU1WDA== |
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