Browse Source
bccaf86 Merge pull request #150 2a53a47 Merge pull request #151 5f5a31f Merge pull request #149 3907277 Merge pull request #142 a3e0611 Enable tests in x86 travis builds 45da235 x86 builder 8bb0e93 Merge pull request #155 971fe81 build: fix openssl detection for cross builds f22d73e Explicitly access %0..%2 as 64-bit so we use the right registers for x32 ABI e66d4d6 Avoid the stack in assembly and use explicit registers cf7b2b4 Fix ECDSA message hashes to 32 bytes 056ad31 Really compile with -O3 by default 74ad63a Merge pull request #146 9000458 Merge pull request #145 1f46b00 build: fix __builtin_expect detection for clang aaba2e0 Merge pull request #136 8a0775c Merge pull request #144 ee1eaa7 Merge pull request #141 c88e2b8 Compile with -O3 by default 6558a26 Make the benchmarks print out stats 000bdf6 Rename bench_verify to bench_recovery 7c6fed2 Add a few more additional tests. 992e03b travis: add clang to the test matrix b43b79a Merge pull request #143 e06a924 Include time.h header for time(). 8d11164 Add some additional tests. 3545627 Merge pull request #118 6a9901e Merge pull request #137 376b28b Merge pull request #128 1728806 Merge pull request #138 a5759c5 Check return value of malloc 39bd94d Variable time normalize ad86bdf Merge pull request #140 54b768c Another redundant secp256k1_fe_normalize 69dcaab Merge pull request #139 1c29f2e Remove redundant secp256k1_fe_normalize from secp256k1_gej_add_ge_var. 2b9388b Remove unused secp256k1_fe_inv_all f461b76 Allocate precomputation arrays on the heap b2c9681 Make {mul,sqr}_inner use the same argument order as {mul,sqr} 6793505 Convert YASM code into inline assembly f048615 Rewrite field assembly to match the C version 3ce74b1 Tweak precomputed table size for G git-subtree-dir: src/secp256k1 git-subtree-split: bccaf86caa9c44166e5a66600b742c516e03c3f00.14
Pieter Wuille
10 years ago
29 changed files with 1198 additions and 845 deletions
@ -1,57 +0,0 @@
@@ -1,57 +0,0 @@
|
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#! /bin/sh |
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command="" |
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infile="" |
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o_opt=no |
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pic=no |
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while [ $# -gt 0 ]; do |
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case "$1" in |
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-DPIC|-fPIC|-fpic|-Kpic|-KPIC) |
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if [ "$pic" != "yes" ] ; then |
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command="$command -DPIC" |
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pic=yes |
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fi |
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;; |
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-f|-fbin|-faout|-faoutb|-fcoff|-felf|-felf64|-fas86| \ |
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-fobj|-fwin32|-fwin64|-frdf|-fieee|-fmacho|-fmacho64) |
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# it's a file format specifier for nasm. |
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command="$command $1" |
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;; |
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-f*) |
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# maybe a code-generation flag for gcc. |
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;; |
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-[Ii]*) |
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incdir=`echo "$1" | sed 's/^-[Ii]//'` |
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if [ "x$incdir" = x -a "x$2" != x ] ; then |
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case "$2" in |
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-*) ;; |
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*) incdir="$2"; shift;; |
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esac |
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fi |
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if [ "x$incdir" != x ] ; then |
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# In the case of NASM, the trailing slash is necessary. |
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incdir=`echo "$incdir" | sed 's%/*$%/%'` |
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command="$command -I$incdir" |
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fi |
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;; |
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-o*) |
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o_opt=yes |
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command="$command $1" |
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;; |
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*.asm) |
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infile=$1 |
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command="$command $1" |
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;; |
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*) |
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command="$command $1" |
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;; |
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esac |
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shift |
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done |
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if [ "$o_opt" != yes ] ; then |
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# By default, NASM creates an output file |
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# in the same directory as the input file. |
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outfile="-o `echo $infile | sed -e 's%^.*/%%' -e 's%\.[^.]*$%%'`.o" |
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command="$command $outfile" |
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fi |
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echo $command |
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exec $command |
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@ -0,0 +1,37 @@
@@ -0,0 +1,37 @@
|
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/**********************************************************************
|
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* Copyright (c) 2014 Pieter Wuille * |
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* Distributed under the MIT software license, see the accompanying * |
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* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
|
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**********************************************************************/ |
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|
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#ifndef _SECP256K1_BENCH_H_ |
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#define _SECP256K1_BENCH_H_ |
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|
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#include <stdio.h> |
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#include <math.h> |
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#include "sys/time.h" |
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|
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static double gettimedouble(void) { |
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struct timeval tv; |
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gettimeofday(&tv, NULL); |
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return tv.tv_usec * 0.000001 + tv.tv_sec; |
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} |
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|
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void run_benchmark(void (*benchmark)(void*), void (*setup)(void*), void (*teardown)(void*), void* data, int count, int iter) { |
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double min = HUGE_VAL; |
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double sum = 0.0; |
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double max = 0.0; |
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for (int i = 0; i < count; i++) { |
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if (setup) setup(data); |
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double begin = gettimedouble(); |
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benchmark(data); |
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double total = gettimedouble() - begin; |
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if (teardown) teardown(data); |
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if (total < min) min = total; |
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if (total > max) max = total; |
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sum += total; |
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} |
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printf("min %.3fus / avg %.3fus / max %.3fus\n", min * 1000000.0 / iter, (sum / count) * 1000000.0 / iter, max * 1000000.0 / iter); |
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} |
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|
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#endif |
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@ -0,0 +1,46 @@
@@ -0,0 +1,46 @@
|
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/**********************************************************************
|
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* Copyright (c) 2014 Pieter Wuille * |
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* Distributed under the MIT software license, see the accompanying * |
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* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
|
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**********************************************************************/ |
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|
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#include "include/secp256k1.h" |
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#include "util.h" |
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#include "bench.h" |
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|
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typedef struct { |
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unsigned char msg[32]; |
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unsigned char sig[64]; |
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} bench_recover_t; |
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|
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void bench_recover(void* arg) { |
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bench_recover_t *data = (bench_recover_t*)arg; |
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|
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unsigned char pubkey[33]; |
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for (int i=0; i<20000; i++) { |
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int pubkeylen = 33; |
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CHECK(secp256k1_ecdsa_recover_compact(data->msg, data->sig, pubkey, &pubkeylen, 1, i % 2)); |
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for (int j = 0; j < 32; j++) { |
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data->sig[j + 32] = data->msg[j]; /* Move former message to S. */ |
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data->msg[j] = data->sig[j]; /* Move former R to message. */ |
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data->sig[j] = pubkey[j + 1]; /* Move recovered pubkey X coordinate to R (which must be a valid X coordinate). */ |
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} |
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} |
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} |
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|
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void bench_recover_setup(void* arg) { |
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bench_recover_t *data = (bench_recover_t*)arg; |
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for (int i = 0; i < 32; i++) data->msg[i] = 1 + i; |
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for (int i = 0; i < 64; i++) data->sig[i] = 65 + i; |
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} |
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|
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int main(void) { |
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secp256k1_start(SECP256K1_START_VERIFY); |
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|
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bench_recover_t data; |
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run_benchmark(bench_recover, bench_recover_setup, NULL, &data, 10, 20000); |
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|
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secp256k1_stop(); |
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return 0; |
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} |
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@ -1,469 +0,0 @@
@@ -1,469 +0,0 @@
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;; Added by Diederik Huys, March 2013 |
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;; |
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;; Provided public procedures: |
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;; secp256k1_fe_mul_inner |
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;; secp256k1_fe_sqr_inner |
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;; |
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;; Needed tools: YASM (http://yasm.tortall.net) |
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;; |
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;; |
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|
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BITS 64 |
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|
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%ifidn __OUTPUT_FORMAT__,macho64 |
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%define SYM(x) _ %+ x |
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%else |
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%define SYM(x) x |
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%endif |
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|
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;; Procedure ExSetMult |
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;; Register Layout: |
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;; INPUT: rdi = a->n |
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;; rsi = b->n |
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;; rdx = r->a |
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;; |
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;; INTERNAL: rdx:rax = multiplication accumulator |
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;; r9:r8 = c |
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;; r10-r13 = t0-t3 |
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;; r14 = b.n[0] / t4 |
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;; r15 = b.n[1] / t5 |
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;; rbx = b.n[2] / t6 |
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;; rcx = b.n[3] / t7 |
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;; rbp = Constant 0FFFFFFFFFFFFFh / t8 |
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;; rsi = b.n / b.n[4] / t9 |
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|
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GLOBAL SYM(secp256k1_fe_mul_inner) |
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ALIGN 32 |
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SYM(secp256k1_fe_mul_inner): |
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push rbp |
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push rbx |
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push r12 |
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push r13 |
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push r14 |
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push r15 |
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push rdx |
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mov r14,[rsi+8*0] ; preload b.n[0]. This will be the case until |
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; b.n[0] is no longer needed, then we reassign |
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; r14 to t4 |
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;; c=a.n[0] * b.n[0] |
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mov rax,[rdi+0*8] ; load a.n[0] |
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mov rbp,0FFFFFFFFFFFFFh |
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mul r14 ; rdx:rax=a.n[0]*b.n[0] |
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mov r15,[rsi+1*8] |
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mov r10,rbp ; load modulus into target register for t0 |
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mov r8,rax |
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and r10,rax ; only need lower qword of c |
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shrd r8,rdx,52 |
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xor r9,r9 ; c < 2^64, so we ditch the HO part |
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|
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;; c+=a.n[0] * b.n[1] + a.n[1] * b.n[0] |
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mov rax,[rdi+0*8] |
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mul r15 |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+1*8] |
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mul r14 |
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mov r11,rbp |
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mov rbx,[rsi+2*8] |
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add r8,rax |
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adc r9,rdx |
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and r11,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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;; c+=a.n[0 1 2] * b.n[2 1 0] |
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mov rax,[rdi+0*8] |
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mul rbx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+1*8] |
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mul r15 |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+2*8] |
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mul r14 |
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mov r12,rbp |
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mov rcx,[rsi+3*8] |
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add r8,rax |
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adc r9,rdx |
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and r12,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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;; c+=a.n[0 1 2 3] * b.n[3 2 1 0] |
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mov rax,[rdi+0*8] |
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mul rcx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+1*8] |
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mul rbx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+2*8] |
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mul r15 |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+3*8] |
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mul r14 |
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mov r13,rbp |
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mov rsi,[rsi+4*8] ; load b.n[4] and destroy pointer |
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add r8,rax |
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adc r9,rdx |
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and r13,r8 |
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|
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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|
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;; c+=a.n[0 1 2 3 4] * b.n[4 3 2 1 0] |
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mov rax,[rdi+0*8] |
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mul rsi |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+1*8] |
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mul rcx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+2*8] |
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mul rbx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+3*8] |
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mul r15 |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+4*8] |
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mul r14 |
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mov r14,rbp ; load modulus into t4 and destroy a.n[0] |
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add r8,rax |
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adc r9,rdx |
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and r14,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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;; c+=a.n[1 2 3 4] * b.n[4 3 2 1] |
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mov rax,[rdi+1*8] |
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mul rsi |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+2*8] |
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mul rcx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+3*8] |
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mul rbx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+4*8] |
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mul r15 |
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mov r15,rbp |
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add r8,rax |
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adc r9,rdx |
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|
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and r15,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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;; c+=a.n[2 3 4] * b.n[4 3 2] |
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mov rax,[rdi+2*8] |
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mul rsi |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+3*8] |
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mul rcx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+4*8] |
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mul rbx |
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mov rbx,rbp |
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add r8,rax |
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adc r9,rdx |
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|
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and rbx,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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;; c+=a.n[3 4] * b.n[4 3] |
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mov rax,[rdi+3*8] |
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mul rsi |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,[rdi+4*8] |
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mul rcx |
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mov rcx,rbp |
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add r8,rax |
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adc r9,rdx |
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and rcx,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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;; c+=a.n[4] * b.n[4] |
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mov rax,[rdi+4*8] |
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mul rsi |
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;; mov rbp,rbp ; modulus already there! |
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add r8,rax |
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adc r9,rdx |
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and rbp,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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mov rsi,r8 ; load c into t9 and destroy b.n[4] |
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|
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;; ******************************************************* |
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common_exit_norm: |
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mov rdi,01000003D10h ; load constant |
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|
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mov rax,r15 ; get t5 |
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mul rdi |
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add rax,r10 ; +t0 |
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adc rdx,0 |
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mov r10,0FFFFFFFFFFFFFh ; modulus. Sadly, we ran out of registers! |
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mov r8,rax ; +c |
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and r10,rax |
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shrd r8,rdx,52 |
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xor r9,r9 |
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|
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mov rax,rbx ; get t6 |
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mul rdi |
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add rax,r11 ; +t1 |
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adc rdx,0 |
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mov r11,0FFFFFFFFFFFFFh ; modulus |
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add r8,rax ; +c |
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adc r9,rdx |
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and r11,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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mov rax,rcx ; get t7 |
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mul rdi |
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add rax,r12 ; +t2 |
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adc rdx,0 |
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pop rbx ; retrieve pointer to this.n |
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mov r12,0FFFFFFFFFFFFFh ; modulus |
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add r8,rax ; +c |
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adc r9,rdx |
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and r12,r8 |
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mov [rbx+2*8],r12 ; mov into this.n[2] |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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mov rax,rbp ; get t8 |
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mul rdi |
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add rax,r13 ; +t3 |
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adc rdx,0 |
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mov r13,0FFFFFFFFFFFFFh ; modulus |
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add r8,rax ; +c |
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adc r9,rdx |
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and r13,r8 |
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mov [rbx+3*8],r13 ; -> this.n[3] |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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mov rax,rsi ; get t9 |
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mul rdi |
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add rax,r14 ; +t4 |
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adc rdx,0 |
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mov r14,0FFFFFFFFFFFFh ; !!! |
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add r8,rax ; +c |
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adc r9,rdx |
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and r14,r8 |
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mov [rbx+4*8],r14 ; -> this.n[4] |
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shrd r8,r9,48 ; !!! |
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xor r9,r9 |
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|
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mov rax,01000003D1h |
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mul r8 |
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add rax,r10 |
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adc rdx,0 |
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mov r10,0FFFFFFFFFFFFFh ; modulus |
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mov r8,rax |
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and rax,r10 |
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shrd r8,rdx,52 |
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mov [rbx+0*8],rax ; -> this.n[0] |
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add r8,r11 |
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mov [rbx+1*8],r8 ; -> this.n[1] |
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|
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pop r15 |
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pop r14 |
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pop r13 |
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pop r12 |
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pop rbx |
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pop rbp |
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ret |
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|
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|
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;; PROC ExSetSquare |
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;; Register Layout: |
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;; INPUT: rdi = a.n |
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;; rsi = this.a |
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;; INTERNAL: rdx:rax = multiplication accumulator |
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;; r9:r8 = c |
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;; r10-r13 = t0-t3 |
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;; r14 = a.n[0] / t4 |
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;; r15 = a.n[1] / t5 |
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;; rbx = a.n[2] / t6 |
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;; rcx = a.n[3] / t7 |
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;; rbp = 0FFFFFFFFFFFFFh / t8 |
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;; rsi = a.n[4] / t9 |
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GLOBAL SYM(secp256k1_fe_sqr_inner) |
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ALIGN 32 |
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SYM(secp256k1_fe_sqr_inner): |
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push rbp |
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push rbx |
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push r12 |
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push r13 |
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push r14 |
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push r15 |
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push rsi |
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mov rbp,0FFFFFFFFFFFFFh |
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|
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;; c=a.n[0] * a.n[0] |
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mov r14,[rdi+0*8] ; r14=a.n[0] |
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mov r10,rbp ; modulus |
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mov rax,r14 |
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mul rax |
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mov r15,[rdi+1*8] ; a.n[1] |
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add r14,r14 ; r14=2*a.n[0] |
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mov r8,rax |
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and r10,rax ; only need lower qword |
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shrd r8,rdx,52 |
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xor r9,r9 |
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|
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;; c+=2*a.n[0] * a.n[1] |
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mov rax,r14 ; r14=2*a.n[0] |
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mul r15 |
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mov rbx,[rdi+2*8] ; rbx=a.n[2] |
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mov r11,rbp ; modulus |
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add r8,rax |
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adc r9,rdx |
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and r11,r8 |
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shrd r8,r9,52 |
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xor r9,r9 |
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|
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;; c+=2*a.n[0]*a.n[2]+a.n[1]*a.n[1] |
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mov rax,r14 |
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mul rbx |
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add r8,rax |
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adc r9,rdx |
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|
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mov rax,r15 |
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mov r12,rbp ; modulus |
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mul rax |
||||
mov rcx,[rdi+3*8] ; rcx=a.n[3] |
||||
add r15,r15 ; r15=a.n[1]*2 |
||||
add r8,rax |
||||
adc r9,rdx |
||||
and r12,r8 ; only need lower dword |
||||
shrd r8,r9,52 |
||||
xor r9,r9 |
||||
|
||||
;; c+=2*a.n[0]*a.n[3]+2*a.n[1]*a.n[2] |
||||
mov rax,r14 |
||||
mul rcx |
||||
add r8,rax |
||||
adc r9,rdx |
||||
|
||||
mov rax,r15 ; rax=2*a.n[1] |
||||
mov r13,rbp ; modulus |
||||
mul rbx |
||||
mov rsi,[rdi+4*8] ; rsi=a.n[4] |
||||
add r8,rax |
||||
adc r9,rdx |
||||
and r13,r8 |
||||
shrd r8,r9,52 |
||||
xor r9,r9 |
||||
|
||||
;; c+=2*a.n[0]*a.n[4]+2*a.n[1]*a.n[3]+a.n[2]*a.n[2] |
||||
mov rax,r14 ; last time we need 2*a.n[0] |
||||
mul rsi |
||||
add r8,rax |
||||
adc r9,rdx |
||||
|
||||
mov rax,r15 |
||||
mul rcx |
||||
mov r14,rbp ; modulus |
||||
add r8,rax |
||||
adc r9,rdx |
||||
|
||||
mov rax,rbx |
||||
mul rax |
||||
add rbx,rbx ; rcx=2*a.n[2] |
||||
add r8,rax |
||||
adc r9,rdx |
||||
and r14,r8 |
||||
shrd r8,r9,52 |
||||
xor r9,r9 |
||||
|
||||
;; c+=2*a.n[1]*a.n[4]+2*a.n[2]*a.n[3] |
||||
mov rax,r15 ; last time we need 2*a.n[1] |
||||
mul rsi |
||||
add r8,rax |
||||
adc r9,rdx |
||||
|
||||
mov rax,rbx |
||||
mul rcx |
||||
mov r15,rbp ; modulus |
||||
add r8,rax |
||||
adc r9,rdx |
||||
and r15,r8 |
||||
shrd r8,r9,52 |
||||
xor r9,r9 |
||||
|
||||
;; c+=2*a.n[2]*a.n[4]+a.n[3]*a.n[3] |
||||
mov rax,rbx ; last time we need 2*a.n[2] |
||||
mul rsi |
||||
add r8,rax |
||||
adc r9,rdx |
||||
|
||||
mov rax,rcx ; a.n[3] |
||||
mul rax |
||||
mov rbx,rbp ; modulus |
||||
add r8,rax |
||||
adc r9,rdx |
||||
and rbx,r8 ; only need lower dword |
||||
lea rax,[2*rcx] |
||||
shrd r8,r9,52 |
||||
xor r9,r9 |
||||
|
||||
;; c+=2*a.n[3]*a.n[4] |
||||
mul rsi |
||||
mov rcx,rbp ; modulus |
||||
add r8,rax |
||||
adc r9,rdx |
||||
and rcx,r8 ; only need lower dword |
||||
shrd r8,r9,52 |
||||
xor r9,r9 |
||||
|
||||
;; c+=a.n[4]*a.n[4] |
||||
mov rax,rsi |
||||
mul rax |
||||
;; mov rbp,rbp ; modulus is already there! |
||||
add r8,rax |
||||
adc r9,rdx |
||||
and rbp,r8 |
||||
shrd r8,r9,52 |
||||
xor r9,r9 |
||||
|
||||
mov rsi,r8 |
||||
|
||||
;; ******************************************************* |
||||
jmp common_exit_norm |
||||
end |
||||
|
||||
|
||||
@ -1,13 +1,502 @@
@@ -1,13 +1,502 @@
|
||||
/**********************************************************************
|
||||
* Copyright (c) 2013 Pieter Wuille * |
||||
* Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille * |
||||
* Distributed under the MIT software license, see the accompanying * |
||||
* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
|
||||
**********************************************************************/ |
||||
|
||||
/**
|
||||
* Changelog: |
||||
* - March 2013, Diederik Huys: original version |
||||
* - November 2014, Pieter Wuille: updated to use Peter Dettman's parallel multiplication algorithm |
||||
* - December 2014, Pieter Wuille: converted from YASM to GCC inline assembly |
||||
*/ |
||||
|
||||
#ifndef _SECP256K1_FIELD_INNER5X52_IMPL_H_ |
||||
#define _SECP256K1_FIELD_INNER5X52_IMPL_H_ |
||||
|
||||
void __attribute__ ((sysv_abi)) secp256k1_fe_mul_inner(const uint64_t *a, const uint64_t *b, uint64_t *r); |
||||
void __attribute__ ((sysv_abi)) secp256k1_fe_sqr_inner(const uint64_t *a, uint64_t *r); |
||||
SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { |
||||
/**
|
||||
* Registers: rdx:rax = multiplication accumulator |
||||
* r9:r8 = c |
||||
* r15:rcx = d |
||||
* r10-r14 = a0-a4 |
||||
* rbx = b |
||||
* rdi = r |
||||
* rsi = a / t? |
||||
*/ |
||||
uint64_t tmp1, tmp2, tmp3; |
||||
__asm__ __volatile__( |
||||
"movq 0(%%rsi),%%r10\n" |
||||
"movq 8(%%rsi),%%r11\n" |
||||
"movq 16(%%rsi),%%r12\n" |
||||
"movq 24(%%rsi),%%r13\n" |
||||
"movq 32(%%rsi),%%r14\n" |
||||
|
||||
/* d += a3 * b0 */ |
||||
"movq 0(%%rbx),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"movq %%rax,%%rcx\n" |
||||
"movq %%rdx,%%r15\n" |
||||
/* d += a2 * b1 */ |
||||
"movq 8(%%rbx),%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a1 * b2 */ |
||||
"movq 16(%%rbx),%%rax\n" |
||||
"mulq %%r11\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d = a0 * b3 */ |
||||
"movq 24(%%rbx),%%rax\n" |
||||
"mulq %%r10\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* c = a4 * b4 */ |
||||
"movq 32(%%rbx),%%rax\n" |
||||
"mulq %%r14\n" |
||||
"movq %%rax,%%r8\n" |
||||
"movq %%rdx,%%r9\n" |
||||
/* d += (c & M) * R */ |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* c >>= 52 (%%r8 only) */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
/* t3 (tmp1) = d & M */ |
||||
"movq %%rcx,%%rsi\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rsi\n" |
||||
"movq %%rsi,%q1\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%r15,%%rcx\n" |
||||
"xorq %%r15,%%r15\n" |
||||
/* d += a4 * b0 */ |
||||
"movq 0(%%rbx),%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a3 * b1 */ |
||||
"movq 8(%%rbx),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a2 * b2 */ |
||||
"movq 16(%%rbx),%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a1 * b3 */ |
||||
"movq 24(%%rbx),%%rax\n" |
||||
"mulq %%r11\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a0 * b4 */ |
||||
"movq 32(%%rbx),%%rax\n" |
||||
"mulq %%r10\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += c * R */ |
||||
"movq %%r8,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* t4 = d & M (%%rsi) */ |
||||
"movq %%rcx,%%rsi\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rsi\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%r15,%%rcx\n" |
||||
"xorq %%r15,%%r15\n" |
||||
/* tx = t4 >> 48 (tmp3) */ |
||||
"movq %%rsi,%%rax\n" |
||||
"shrq $48,%%rax\n" |
||||
"movq %%rax,%q3\n" |
||||
/* t4 &= (M >> 4) (tmp2) */ |
||||
"movq $0xffffffffffff,%%rax\n" |
||||
"andq %%rax,%%rsi\n" |
||||
"movq %%rsi,%q2\n" |
||||
/* c = a0 * b0 */ |
||||
"movq 0(%%rbx),%%rax\n" |
||||
"mulq %%r10\n" |
||||
"movq %%rax,%%r8\n" |
||||
"movq %%rdx,%%r9\n" |
||||
/* d += a4 * b1 */ |
||||
"movq 8(%%rbx),%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a3 * b2 */ |
||||
"movq 16(%%rbx),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a2 * b3 */ |
||||
"movq 24(%%rbx),%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a1 * b4 */ |
||||
"movq 32(%%rbx),%%rax\n" |
||||
"mulq %%r11\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* u0 = d & M (%%rsi) */ |
||||
"movq %%rcx,%%rsi\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rsi\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%r15,%%rcx\n" |
||||
"xorq %%r15,%%r15\n" |
||||
/* u0 = (u0 << 4) | tx (%%rsi) */ |
||||
"shlq $4,%%rsi\n" |
||||
"movq %q3,%%rax\n" |
||||
"orq %%rax,%%rsi\n" |
||||
/* c += u0 * (R >> 4) */ |
||||
"movq $0x1000003d1,%%rax\n" |
||||
"mulq %%rsi\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* r[0] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rax\n" |
||||
"movq %%rax,0(%%rdi)\n" |
||||
/* c >>= 52 */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
"xorq %%r9,%%r9\n" |
||||
/* c += a1 * b0 */ |
||||
"movq 0(%%rbx),%%rax\n" |
||||
"mulq %%r11\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* c += a0 * b1 */ |
||||
"movq 8(%%rbx),%%rax\n" |
||||
"mulq %%r10\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* d += a4 * b2 */ |
||||
"movq 16(%%rbx),%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a3 * b3 */ |
||||
"movq 24(%%rbx),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a2 * b4 */ |
||||
"movq 32(%%rbx),%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* c += (d & M) * R */ |
||||
"movq %%rcx,%%rax\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%r15,%%rcx\n" |
||||
"xorq %%r15,%%r15\n" |
||||
/* r[1] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rax\n" |
||||
"movq %%rax,8(%%rdi)\n" |
||||
/* c >>= 52 */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
"xorq %%r9,%%r9\n" |
||||
/* c += a2 * b0 */ |
||||
"movq 0(%%rbx),%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* c += a1 * b1 */ |
||||
"movq 8(%%rbx),%%rax\n" |
||||
"mulq %%r11\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* c += a0 * b2 (last use of %%r10 = a0) */ |
||||
"movq 16(%%rbx),%%rax\n" |
||||
"mulq %%r10\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* fetch t3 (%%r10, overwrites a0), t4 (%%rsi) */ |
||||
"movq %q2,%%rsi\n" |
||||
"movq %q1,%%r10\n" |
||||
/* d += a4 * b3 */ |
||||
"movq 24(%%rbx),%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* d += a3 * b4 */ |
||||
"movq 32(%%rbx),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"addq %%rax,%%rcx\n" |
||||
"adcq %%rdx,%%r15\n" |
||||
/* c += (d & M) * R */ |
||||
"movq %%rcx,%%rax\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* d >>= 52 (%%rcx only) */ |
||||
"shrdq $52,%%r15,%%rcx\n" |
||||
/* r[2] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rax\n" |
||||
"movq %%rax,16(%%rdi)\n" |
||||
/* c >>= 52 */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
"xorq %%r9,%%r9\n" |
||||
/* c += t3 */ |
||||
"addq %%r10,%%r8\n" |
||||
/* c += d * R */ |
||||
"movq %%rcx,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* r[3] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"movq $0xfffffffffffff,%%rdx\n" |
||||
"andq %%rdx,%%rax\n" |
||||
"movq %%rax,24(%%rdi)\n" |
||||
/* c >>= 52 (%%r8 only) */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
/* c += t4 (%%r8 only) */ |
||||
"addq %%rsi,%%r8\n" |
||||
/* r[4] = c */ |
||||
"movq %%r8,32(%%rdi)\n" |
||||
: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) |
||||
: "b"(b), "D"(r) |
||||
: "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" |
||||
); |
||||
} |
||||
|
||||
SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { |
||||
/**
|
||||
* Registers: rdx:rax = multiplication accumulator |
||||
* r9:r8 = c |
||||
* rcx:rbx = d |
||||
* r10-r14 = a0-a4 |
||||
* r15 = M (0xfffffffffffff) |
||||
* rdi = r |
||||
* rsi = a / t? |
||||
*/ |
||||
uint64_t tmp1, tmp2, tmp3; |
||||
__asm__ __volatile__( |
||||
"movq 0(%%rsi),%%r10\n" |
||||
"movq 8(%%rsi),%%r11\n" |
||||
"movq 16(%%rsi),%%r12\n" |
||||
"movq 24(%%rsi),%%r13\n" |
||||
"movq 32(%%rsi),%%r14\n" |
||||
"movq $0xfffffffffffff,%%r15\n" |
||||
|
||||
/* d = (a0*2) * a3 */ |
||||
"leaq (%%r10,%%r10,1),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"movq %%rax,%%rbx\n" |
||||
"movq %%rdx,%%rcx\n" |
||||
/* d += (a1*2) * a2 */ |
||||
"leaq (%%r11,%%r11,1),%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* c = a4 * a4 */ |
||||
"movq %%r14,%%rax\n" |
||||
"mulq %%r14\n" |
||||
"movq %%rax,%%r8\n" |
||||
"movq %%rdx,%%r9\n" |
||||
/* d += (c & M) * R */ |
||||
"andq %%r15,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* c >>= 52 (%%r8 only) */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
/* t3 (tmp1) = d & M */ |
||||
"movq %%rbx,%%rsi\n" |
||||
"andq %%r15,%%rsi\n" |
||||
"movq %%rsi,%q1\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%rcx,%%rbx\n" |
||||
"xorq %%rcx,%%rcx\n" |
||||
/* a4 *= 2 */ |
||||
"addq %%r14,%%r14\n" |
||||
/* d += a0 * a4 */ |
||||
"movq %%r10,%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* d+= (a1*2) * a3 */ |
||||
"leaq (%%r11,%%r11,1),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* d += a2 * a2 */ |
||||
"movq %%r12,%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* d += c * R */ |
||||
"movq %%r8,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* t4 = d & M (%%rsi) */ |
||||
"movq %%rbx,%%rsi\n" |
||||
"andq %%r15,%%rsi\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%rcx,%%rbx\n" |
||||
"xorq %%rcx,%%rcx\n" |
||||
/* tx = t4 >> 48 (tmp3) */ |
||||
"movq %%rsi,%%rax\n" |
||||
"shrq $48,%%rax\n" |
||||
"movq %%rax,%q3\n" |
||||
/* t4 &= (M >> 4) (tmp2) */ |
||||
"movq $0xffffffffffff,%%rax\n" |
||||
"andq %%rax,%%rsi\n" |
||||
"movq %%rsi,%q2\n" |
||||
/* c = a0 * a0 */ |
||||
"movq %%r10,%%rax\n" |
||||
"mulq %%r10\n" |
||||
"movq %%rax,%%r8\n" |
||||
"movq %%rdx,%%r9\n" |
||||
/* d += a1 * a4 */ |
||||
"movq %%r11,%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* d += (a2*2) * a3 */ |
||||
"leaq (%%r12,%%r12,1),%%rax\n" |
||||
"mulq %%r13\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* u0 = d & M (%%rsi) */ |
||||
"movq %%rbx,%%rsi\n" |
||||
"andq %%r15,%%rsi\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%rcx,%%rbx\n" |
||||
"xorq %%rcx,%%rcx\n" |
||||
/* u0 = (u0 << 4) | tx (%%rsi) */ |
||||
"shlq $4,%%rsi\n" |
||||
"movq %q3,%%rax\n" |
||||
"orq %%rax,%%rsi\n" |
||||
/* c += u0 * (R >> 4) */ |
||||
"movq $0x1000003d1,%%rax\n" |
||||
"mulq %%rsi\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* r[0] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"andq %%r15,%%rax\n" |
||||
"movq %%rax,0(%%rdi)\n" |
||||
/* c >>= 52 */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
"xorq %%r9,%%r9\n" |
||||
/* a0 *= 2 */ |
||||
"addq %%r10,%%r10\n" |
||||
/* c += a0 * a1 */ |
||||
"movq %%r10,%%rax\n" |
||||
"mulq %%r11\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* d += a2 * a4 */ |
||||
"movq %%r12,%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* d += a3 * a3 */ |
||||
"movq %%r13,%%rax\n" |
||||
"mulq %%r13\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* c += (d & M) * R */ |
||||
"movq %%rbx,%%rax\n" |
||||
"andq %%r15,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* d >>= 52 */ |
||||
"shrdq $52,%%rcx,%%rbx\n" |
||||
"xorq %%rcx,%%rcx\n" |
||||
/* r[1] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"andq %%r15,%%rax\n" |
||||
"movq %%rax,8(%%rdi)\n" |
||||
/* c >>= 52 */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
"xorq %%r9,%%r9\n" |
||||
/* c += a0 * a2 (last use of %%r10) */ |
||||
"movq %%r10,%%rax\n" |
||||
"mulq %%r12\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* fetch t3 (%%r10, overwrites a0),t4 (%%rsi) */ |
||||
"movq %q2,%%rsi\n" |
||||
"movq %q1,%%r10\n" |
||||
/* c += a1 * a1 */ |
||||
"movq %%r11,%%rax\n" |
||||
"mulq %%r11\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* d += a3 * a4 */ |
||||
"movq %%r13,%%rax\n" |
||||
"mulq %%r14\n" |
||||
"addq %%rax,%%rbx\n" |
||||
"adcq %%rdx,%%rcx\n" |
||||
/* c += (d & M) * R */ |
||||
"movq %%rbx,%%rax\n" |
||||
"andq %%r15,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* d >>= 52 (%%rbx only) */ |
||||
"shrdq $52,%%rcx,%%rbx\n" |
||||
/* r[2] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"andq %%r15,%%rax\n" |
||||
"movq %%rax,16(%%rdi)\n" |
||||
/* c >>= 52 */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
"xorq %%r9,%%r9\n" |
||||
/* c += t3 */ |
||||
"addq %%r10,%%r8\n" |
||||
/* c += d * R */ |
||||
"movq %%rbx,%%rax\n" |
||||
"movq $0x1000003d10,%%rdx\n" |
||||
"mulq %%rdx\n" |
||||
"addq %%rax,%%r8\n" |
||||
"adcq %%rdx,%%r9\n" |
||||
/* r[3] = c & M */ |
||||
"movq %%r8,%%rax\n" |
||||
"andq %%r15,%%rax\n" |
||||
"movq %%rax,24(%%rdi)\n" |
||||
/* c >>= 52 (%%r8 only) */ |
||||
"shrdq $52,%%r9,%%r8\n" |
||||
/* c += t4 (%%r8 only) */ |
||||
"addq %%rsi,%%r8\n" |
||||
/* r[4] = c */ |
||||
"movq %%r8,32(%%rdi)\n" |
||||
: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) |
||||
: "D"(r) |
||||
: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" |
||||
); |
||||
} |
||||
|
||||
#endif |
||||
|
||||
Loading…
Reference in new issue