Convert YASM code into inline assembly
This commit is contained in:
Pieter Wuille
parent
f048615970
commit
67935050e1
24
Makefile.am
24
Makefile.am
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@ -1,12 +1,6 @@
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ACLOCAL_AMFLAGS = -I build-aux/m4
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lib_LTLIBRARIES = libsecp256k1.la
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if USE_ASM
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COMMON_LIB = libsecp256k1_common.la
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else
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COMMON_LIB =
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endif
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noinst_LTLIBRARIES = $(COMMON_LIB)
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include_HEADERS = include/secp256k1.h
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noinst_HEADERS =
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noinst_HEADERS += src/scalar.h
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@ -47,13 +41,9 @@ noinst_HEADERS += src/field_impl.h
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pkgconfigdir = $(libdir)/pkgconfig
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pkgconfig_DATA = libsecp256k1.pc
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if USE_ASM
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libsecp256k1_common_la_SOURCES = src/field_5x52_asm.asm
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endif
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libsecp256k1_la_SOURCES = src/secp256k1.c
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libsecp256k1_la_CPPFLAGS = -I$(top_srcdir)/include $(SECP_INCLUDES)
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libsecp256k1_la_LIBADD = $(COMMON_LIB) $(SECP_LIBS)
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libsecp256k1_la_LIBADD = $(SECP_LIBS)
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noinst_PROGRAMS =
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@ -66,7 +56,7 @@ bench_sign_SOURCES = src/bench_sign.c
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bench_sign_LDADD = libsecp256k1.la $(SECP_LIBS)
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bench_sign_LDFLAGS = -static
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bench_inv_SOURCES = src/bench_inv.c
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bench_inv_LDADD = $(COMMON_LIB) $(SECP_LIBS)
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bench_inv_LDADD = $(SECP_LIBS)
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bench_inv_LDFLAGS = -static
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bench_inv_CPPFLAGS = $(SECP_INCLUDES)
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endif
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@ -75,15 +65,9 @@ if USE_TESTS
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noinst_PROGRAMS += tests
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tests_SOURCES = src/tests.c
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tests_CPPFLAGS = -DVERIFY $(SECP_INCLUDES) $(SECP_TEST_INCLUDES)
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tests_LDADD = $(COMMON_LIB) $(SECP_LIBS) $(SECP_TEST_LIBS)
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tests_LDADD = $(SECP_LIBS) $(SECP_TEST_LIBS)
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tests_LDFLAGS = -static
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TESTS = tests
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endif
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EXTRA_DIST = autogen.sh nasm_lt.sh
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#x86_64 only
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if USE_ASM
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.asm.lo:
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$(LIBTOOL) --mode=compile --tag YASM $(srcdir)/nasm_lt.sh $(YASM) -f $(YASM_BINFMT) $(YAFLAGS) -I$(srcdir) -I. $< -o $@
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endif
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EXTRA_DIST = autogen.sh
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@ -11,38 +11,16 @@ fi
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dnl
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AC_DEFUN([SECP_64BIT_ASM_CHECK],[
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if test x"$host_cpu" == x"x86_64"; then
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AC_CHECK_PROG(YASM, yasm, yasm)
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else
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if test x"$set_field" = x"64bit_asm"; then
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AC_MSG_ERROR([$set_field field support explicitly requested but is not compatible with this host])
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fi
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fi
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if test x$YASM = x; then
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if test x"$set_field" = x"64bit_asm"; then
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AC_MSG_ERROR([$set_field field support explicitly requested but yasm was not found])
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fi
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has_64bit_asm=no
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else
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case x"$host_os" in
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xdarwin*)
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YASM_BINFMT=macho64
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;;
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x*-gnux32)
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YASM_BINFMT=elfx32
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;;
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*)
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YASM_BINFMT=elf64
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;;
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esac
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if $YASM -f help | grep -q $YASM_BINFMT; then
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has_64bit_asm=yes
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else
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if test x"$set_field" = x"64bit_asm"; then
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AC_MSG_ERROR([$set_field field support explicitly requested but yasm doesn't support $YASM_BINFMT format])
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fi
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AC_MSG_WARN([yasm too old for $YASM_BINFMT format])
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has_64bit_asm=no
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AC_MSG_CHECKING(for x86_64 assembly availability)
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AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
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#include <stdint.h>]],[[
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uint64_t a = 11, tmp;
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__asm__ __volatile__("movq $0x100000000,%1; mulq %%rsi" : "+a"(a) : "S"(tmp) : "cc", "%rdx");
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]])],[has_64bit_asm=yes],[has_64bit_asm=no])
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AC_MSG_RESULT([$has_64bit_asm])
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if test x"$set_field" == x"64bit_asm"; then
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if test x"$has_64bit_asm" == x"no"; then
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AC_MSG_ERROR([$set_field field support explicitly requested but no x86_64 assembly available])
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fi
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fi
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])
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@ -283,7 +283,6 @@ AC_SUBST(SECP_INCLUDES)
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AC_SUBST(SECP_LIBS)
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AC_SUBST(SECP_TEST_LIBS)
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AC_SUBST(SECP_TEST_INCLUDES)
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AC_SUBST(YASM_BINFMT)
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AM_CONDITIONAL([USE_ASM], [test x"$set_field" == x"64bit_asm"])
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AM_CONDITIONAL([USE_TESTS], [test x"$use_tests" != x"no"])
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AM_CONDITIONAL([USE_BENCHMARK], [test x"$use_benchmark" != x"no"])
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57
nasm_lt.sh
57
nasm_lt.sh
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@ -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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@ -1,529 +0,0 @@
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;; Copyright (c) 2013-2014 Diederik Huys, 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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;; Changelog:
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;; * March 2013, Diederik Huys: Original version
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;; * November 2014, Pieter Wuille: Updated to use Peter Dettman's parallel
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;; multiplication algorithm
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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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BITS 64
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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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;; 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:r14 = a0-a4
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;; rcx:rbx = d
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;; rbp = R
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;; rdi = t?
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;; r15 = b->n
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;; rsi = r->n
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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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mov r10,[rdi+0*8]
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mov r11,[rdi+1*8]
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mov r12,[rdi+2*8]
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mov r13,[rdi+3*8]
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mov r14,[rdi+4*8]
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mov rbp,01000003D10h
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mov r15,rsi
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mov rsi,rdx
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;; d += a3 * b0
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mov rax,[r15+0*8]
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mul r13
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mov rbx,rax
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mov rcx,rdx
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;; d += a2 * b1
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mov rax,[r15+1*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; d += a1 * b2
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mov rax,[r15+2*8]
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mul r11
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add rbx,rax
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adc rcx,rdx
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;; d = a0 * b3
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mov rax,[r15+3*8]
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mul r10
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add rbx,rax
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adc rcx,rdx
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;; c = a4 * b4
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mov rax,[r15+4*8]
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mul r14
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mov r8,rax
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mov r9,rdx
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;; d += (c & M) * R
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mov rdx,0fffffffffffffh
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and rax,rdx
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mul rbp
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add rbx,rax
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adc rcx,rdx
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;; c >>= 52 (r8 only)
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shrd r8,r9,52
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;; t3 (stack) = d & M
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mov rdi,rbx
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mov rdx,0fffffffffffffh
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and rdi,rdx
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push rdi
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; d += a4 * b0
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mov rax,[r15+0*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b1
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mov rax,[r15+1*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; d += a2 * b2
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mov rax,[r15+2*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; d += a1 * b3
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mov rax,[r15+3*8]
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mul r11
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add rbx,rax
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adc rcx,rdx
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;; d += a0 * b4
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mov rax,[r15+4*8]
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mul r10
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add rbx,rax
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adc rcx,rdx
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;; d += c * R
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mov rax,r8
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mul rbp
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add rbx,rax
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adc rcx,rdx
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;; t4 = d & M (rdi)
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mov rdi,rbx
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mov rdx,0fffffffffffffh
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and rdi,rdx
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; tx = t4 >> 48 (rbp, overwrites R)
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mov rbp,rdi
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shr rbp,48
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;; t4 &= (M >> 4) (stack)
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mov rax,0ffffffffffffh
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and rdi,rax
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push rdi
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;; c = a0 * b0
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mov rax,[r15+0*8]
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mul r10
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mov r8,rax
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mov r9,rdx
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;; d += a4 * b1
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mov rax,[r15+1*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b2
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mov rax,[r15+2*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; d += a2 * b3
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mov rax,[r15+3*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; d += a1 * b4
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mov rax,[r15+4*8]
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mul r11
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add rbx,rax
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adc rcx,rdx
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;; u0 = d & M (rdi)
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mov rdi,rbx
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mov rdx,0fffffffffffffh
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and rdi,rdx
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; u0 = (u0 << 4) | tx (rdi)
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shl rdi,4
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or rdi,rbp
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;; c += u0 * (R >> 4)
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mov rax,01000003D1h
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mul rdi
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add r8,rax
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adc r9,rdx
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;; r[0] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+0*8],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += a1 * b0
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mov rax,[r15+0*8]
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mul r11
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add r8,rax
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adc r9,rdx
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;; c += a0 * b1
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mov rax,[r15+1*8]
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mul r10
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add r8,rax
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adc r9,rdx
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;; d += a4 * b2
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mov rax,[r15+2*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b3
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mov rax,[r15+3*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; d += a2 * b4
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mov rax,[r15+4*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; restore rdp = R
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mov rbp,01000003D10h
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;; c += (d & M) * R
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mov rax,rbx
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mov rdx,0fffffffffffffh
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and rax,rdx
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mul rbp
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add r8,rax
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adc r9,rdx
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; r[1] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+8*1],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += a2 * b0
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mov rax,[r15+0*8]
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mul r12
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add r8,rax
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adc r9,rdx
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;; c += a1 * b1
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mov rax,[r15+1*8]
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mul r11
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add r8,rax
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adc r9,rdx
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;; c += a0 * b2 (last use of r10 = a0)
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mov rax,[r15+2*8]
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mul r10
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add r8,rax
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adc r9,rdx
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;; fetch t3 (r10, overwrites a0),t4 (rdi)
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pop rdi
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pop r10
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;; d += a4 * b3
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mov rax,[r15+3*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b4
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mov rax,[r15+4*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; c += (d & M) * R
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mov rax,rbx
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mov rdx,0fffffffffffffh
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and rax,rdx
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mul rbp
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add r8,rax
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adc r9,rdx
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;; d >>= 52 (rbx only)
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shrd rbx,rcx,52
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;; r[2] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+2*8],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += t3
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add r8,r10
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;; c += d * R
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mov rax,rbx
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mul rbp
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add r8,rax
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adc r9,rdx
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;; r[3] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+3*8],rax
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;; c >>= 52 (r8 only)
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shrd r8,r9,52
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;; c += t4 (r8 only)
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add r8,rdi
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;; r[4] = c
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mov [rsi+4*8],r8
|
||||
|
||||
pop r15
|
||||
pop r14
|
||||
pop r13
|
||||
pop r12
|
||||
pop rbx
|
||||
pop rbp
|
||||
ret
|
||||
|
||||
|
||||
;; PROC ExSetSquare
|
||||
;; Register Layout:
|
||||
;; INPUT: rdi = a.n
|
||||
;; rsi = r.n
|
||||
;; INTERNAL: rdx:rax = multiplication accumulator
|
||||
;; r9:r8 = c
|
||||
;; r10:r14 = a0-a4
|
||||
;; rcx:rbx = d
|
||||
;; rbp = R
|
||||
;; rdi = t?
|
||||
;; r15 = M
|
||||
GLOBAL SYM(secp256k1_fe_sqr_inner)
|
||||
ALIGN 32
|
||||
SYM(secp256k1_fe_sqr_inner):
|
||||
push rbp
|
||||
push rbx
|
||||
push r12
|
||||
push r13
|
||||
push r14
|
||||
push r15
|
||||
mov r10,[rdi+0*8]
|
||||
mov r11,[rdi+1*8]
|
||||
mov r12,[rdi+2*8]
|
||||
mov r13,[rdi+3*8]
|
||||
mov r14,[rdi+4*8]
|
||||
mov rbp,01000003D10h
|
||||
mov r15,0fffffffffffffh
|
||||
|
||||
;; d = (a0*2) * a3
|
||||
lea rax,[r10*2]
|
||||
mul r13
|
||||
mov rbx,rax
|
||||
mov rcx,rdx
|
||||
;; d += (a1*2) * a2
|
||||
lea rax,[r11*2]
|
||||
mul r12
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; c = a4 * a4
|
||||
mov rax,r14
|
||||
mul r14
|
||||
mov r8,rax
|
||||
mov r9,rdx
|
||||
;; d += (c & M) * R
|
||||
and rax,r15
|
||||
mul rbp
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; c >>= 52 (r8 only)
|
||||
shrd r8,r9,52
|
||||
;; t3 (stack) = d & M
|
||||
mov rdi,rbx
|
||||
and rdi,r15
|
||||
push rdi
|
||||
;; d >>= 52
|
||||
shrd rbx,rcx,52
|
||||
mov rcx,0
|
||||
;; a4 *= 2
|
||||
add r14,r14
|
||||
;; d += a0 * a4
|
||||
mov rax,r10
|
||||
mul r14
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; d+= (a1*2) * a3
|
||||
lea rax,[r11*2]
|
||||
mul r13
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; d += a2 * a2
|
||||
mov rax,r12
|
||||
mul r12
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; d += c * R
|
||||
mov rax,r8
|
||||
mul rbp
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; t4 = d & M (rdi)
|
||||
mov rdi,rbx
|
||||
and rdi,r15
|
||||
;; d >>= 52
|
||||
shrd rbx,rcx,52
|
||||
mov rcx,0
|
||||
;; tx = t4 >> 48 (rbp, overwrites constant)
|
||||
mov rbp,rdi
|
||||
shr rbp,48
|
||||
;; t4 &= (M >> 4) (stack)
|
||||
mov rax,0ffffffffffffh
|
||||
and rdi,rax
|
||||
push rdi
|
||||
;; c = a0 * a0
|
||||
mov rax,r10
|
||||
mul r10
|
||||
mov r8,rax
|
||||
mov r9,rdx
|
||||
;; d += a1 * a4
|
||||
mov rax,r11
|
||||
mul r14
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; d += (a2*2) * a3
|
||||
lea rax,[r12*2]
|
||||
mul r13
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; u0 = d & M (rdi)
|
||||
mov rdi,rbx
|
||||
and rdi,r15
|
||||
;; d >>= 52
|
||||
shrd rbx,rcx,52
|
||||
mov rcx,0
|
||||
;; u0 = (u0 << 4) | tx (rdi)
|
||||
shl rdi,4
|
||||
or rdi,rbp
|
||||
;; c += u0 * (R >> 4)
|
||||
mov rax,01000003D1h
|
||||
mul rdi
|
||||
add r8,rax
|
||||
adc r9,rdx
|
||||
;; r[0] = c & M
|
||||
mov rax,r8
|
||||
and rax,r15
|
||||
mov [rsi+0*8],rax
|
||||
;; c >>= 52
|
||||
shrd r8,r9,52
|
||||
mov r9,0
|
||||
;; a0 *= 2
|
||||
add r10,r10
|
||||
;; c += a0 * a1
|
||||
mov rax,r10
|
||||
mul r11
|
||||
add r8,rax
|
||||
adc r9,rdx
|
||||
;; d += a2 * a4
|
||||
mov rax,r12
|
||||
mul r14
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; d += a3 * a3
|
||||
mov rax,r13
|
||||
mul r13
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; load R in rbp
|
||||
mov rbp,01000003D10h
|
||||
;; c += (d & M) * R
|
||||
mov rax,rbx
|
||||
and rax,r15
|
||||
mul rbp
|
||||
add r8,rax
|
||||
adc r9,rdx
|
||||
;; d >>= 52
|
||||
shrd rbx,rcx,52
|
||||
mov rcx,0
|
||||
;; r[1] = c & M
|
||||
mov rax,r8
|
||||
and rax,r15
|
||||
mov [rsi+8*1],rax
|
||||
;; c >>= 52
|
||||
shrd r8,r9,52
|
||||
mov r9,0
|
||||
;; c += a0 * a2 (last use of r10)
|
||||
mov rax,r10
|
||||
mul r12
|
||||
add r8,rax
|
||||
adc r9,rdx
|
||||
;; fetch t3 (r10, overwrites a0),t4 (rdi)
|
||||
pop rdi
|
||||
pop r10
|
||||
;; c += a1 * a1
|
||||
mov rax,r11
|
||||
mul r11
|
||||
add r8,rax
|
||||
adc r9,rdx
|
||||
;; d += a3 * a4
|
||||
mov rax,r13
|
||||
mul r14
|
||||
add rbx,rax
|
||||
adc rcx,rdx
|
||||
;; c += (d & M) * R
|
||||
mov rax,rbx
|
||||
and rax,r15
|
||||
mul rbp
|
||||
add r8,rax
|
||||
adc r9,rdx
|
||||
;; d >>= 52 (rbx only)
|
||||
shrd rbx,rcx,52
|
||||
;; r[2] = c & M
|
||||
mov rax,r8
|
||||
and rax,r15
|
||||
mov [rsi+2*8],rax
|
||||
;; c >>= 52
|
||||
shrd r8,r9,52
|
||||
mov r9,0
|
||||
;; c += t3
|
||||
add r8,r10
|
||||
;; c += d * R
|
||||
mov rax,rbx
|
||||
mul rbp
|
||||
add r8,rax
|
||||
adc r9,rdx
|
||||
;; r[3] = c & M
|
||||
mov rax,r8
|
||||
and rax,r15
|
||||
mov [rsi+3*8],rax
|
||||
;; c >>= 52 (r8 only)
|
||||
shrd r8,r9,52
|
||||
;; c += t4 (r8 only)
|
||||
add r8,rdi
|
||||
;; r[4] = c
|
||||
mov [rsi+4*8],r8
|
||||
|
||||
pop r15
|
||||
pop r14
|
||||
pop r13
|
||||
pop r12
|
||||
pop rbx
|
||||
pop rbp
|
||||
ret
|
||||
|
|
@ -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(const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b, uint64_t *r) {
|
||||
/**
|
||||
* Registers: rdx:rax = multiplication accumulator
|
||||
* r9:r8 = c
|
||||
* r15:rcx = d
|
||||
* r10-r14 = a0-a4
|
||||
* rbx = b
|
||||
* %2 = r
|
||||
* %0 = a / t?
|
||||
* rbp = R (0x1000003d10)
|
||||
*/
|
||||
__asm__ __volatile__(
|
||||
"pushq %%rbp\n"
|
||||
|
||||
"movq 0(%0),%%r10\n"
|
||||
"movq 8(%0),%%r11\n"
|
||||
"movq 16(%0),%%r12\n"
|
||||
"movq 24(%0),%%r13\n"
|
||||
"movq 32(%0),%%r14\n"
|
||||
"movq $0x1000003d10,%%rbp\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"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* t3 (stack) = d & M */
|
||||
"movq %%rcx,%0\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%0\n"
|
||||
"pushq %0\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"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* t4 = d & M (%0) */
|
||||
"movq %%rcx,%0\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%r15,%%rcx\n"
|
||||
"xorq %%r15,%%r15\n"
|
||||
/* tx = t4 >> 48 (%%rbp, overwrites R) */
|
||||
"movq %0,%%rbp\n"
|
||||
"shrq $48,%%rbp\n"
|
||||
/* t4 &= (M >> 4) (stack) */
|
||||
"movq $0xffffffffffff,%%rax\n"
|
||||
"andq %%rax,%0\n"
|
||||
"pushq %0\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 (%0) */
|
||||
"movq %%rcx,%0\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%r15,%%rcx\n"
|
||||
"xorq %%r15,%%r15\n"
|
||||
/* u0 = (u0 << 4) | tx (%0) */
|
||||
"shlq $4,%0\n"
|
||||
"orq %%rbp,%0\n"
|
||||
/* c += u0 * (R >> 4) */
|
||||
"movq $0x1000003d1,%%rax\n"
|
||||
"mulq %0\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(%2)\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"
|
||||
/* restore rdp = R */
|
||||
"movq $0x1000003d10,%%rbp\n"
|
||||
/* c += (d & M) * R */
|
||||
"movq %%rcx,%%rax\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"mulq %%rbp\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(%2)\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 (%0) */
|
||||
"popq %0\n"
|
||||
"popq %%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"
|
||||
"mulq %%rbp\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(%2)\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"
|
||||
"mulq %%rbp\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(%2)\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* c += t4 (%%r8 only) */
|
||||
"addq %0,%%r8\n"
|
||||
/* r[4] = c */
|
||||
"movq %%r8,32(%2)\n"
|
||||
|
||||
"popq %%rbp\n"
|
||||
: "+S"(a)
|
||||
: "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(const uint64_t *a, uint64_t *r) {
|
||||
/**
|
||||
* Registers: rdx:rax = multiplication accumulator
|
||||
* r9:r8 = c
|
||||
* rcx:rbx = d
|
||||
* r10-r14 = a0-a4
|
||||
* r15 = M (0xfffffffffffff)
|
||||
* %1 = r
|
||||
* %0 = a / t?
|
||||
* rbp = R (0x1000003d10)
|
||||
*/
|
||||
__asm__ __volatile__(
|
||||
"pushq %%rbp\n"
|
||||
|
||||
"movq 0(%0),%%r10\n"
|
||||
"movq 8(%0),%%r11\n"
|
||||
"movq 16(%0),%%r12\n"
|
||||
"movq 24(%0),%%r13\n"
|
||||
"movq 32(%0),%%r14\n"
|
||||
"movq $0x1000003d10,%%rbp\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"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* t3 (stack) = d & M */
|
||||
"movq %%rbx,%0\n"
|
||||
"andq %%r15,%0\n"
|
||||
"pushq %0\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"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* t4 = d & M (%0) */
|
||||
"movq %%rbx,%0\n"
|
||||
"andq %%r15,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%rcx,%%rbx\n"
|
||||
"xorq %%rcx,%%rcx\n"
|
||||
/* tx = t4 >> 48 (%%rbp, overwrites constant) */
|
||||
"movq %0,%%rbp\n"
|
||||
"shrq $48,%%rbp\n"
|
||||
/* t4 &= (M >> 4) (stack) */
|
||||
"movq $0xffffffffffff,%%rax\n"
|
||||
"andq %%rax,%0\n"
|
||||
"pushq %0\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 (%0) */
|
||||
"movq %%rbx,%0\n"
|
||||
"andq %%r15,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%rcx,%%rbx\n"
|
||||
"xorq %%rcx,%%rcx\n"
|
||||
/* u0 = (u0 << 4) | tx (%0) */
|
||||
"shlq $4,%0\n"
|
||||
"orq %%rbp,%0\n"
|
||||
/* c += u0 * (R >> 4) */
|
||||
"movq $0x1000003d1,%%rax\n"
|
||||
"mulq %0\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* r[0] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"movq %%rax,0(%1)\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"
|
||||
/* load R in %%rbp */
|
||||
"movq $0x1000003d10,%%rbp\n"
|
||||
/* c += (d & M) * R */
|
||||
"movq %%rbx,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"mulq %%rbp\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(%1)\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 (%0) */
|
||||
"popq %0\n"
|
||||
"popq %%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"
|
||||
"mulq %%rbp\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(%1)\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"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* r[3] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"movq %%rax,24(%1)\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* c += t4 (%%r8 only) */
|
||||
"addq %0,%%r8\n"
|
||||
/* r[4] = c */
|
||||
"movq %%r8,32(%1)\n"
|
||||
|
||||
"popq %%rbp\n"
|
||||
: "+S"(a)
|
||||
: "D"(r)
|
||||
: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory"
|
||||
);
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
|
|||
Loading…
Reference in New Issue