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-rwxr-xr-xConfigure7
-rw-r--r--TABLE24
-rw-r--r--crypto/bn/Makefile2
-rwxr-xr-xcrypto/bn/asm/x86_64-mont.pl5
-rwxr-xr-xcrypto/bn/asm/x86_64-mont5.pl834
-rw-r--r--crypto/bn/bn_exp.c190
6 files changed, 1004 insertions, 58 deletions
diff --git a/Configure b/Configure
index 8b5efd6b1b..9d9bd72b8b 100755
--- a/Configure
+++ b/Configure
@@ -127,7 +127,7 @@ my $x86_asm="x86cpuid.o:bn-586.o co-586.o x86-mont.o x86-gf2m.o:des-586.o crypt5
my $x86_elf_asm="$x86_asm:elf";
-my $x86_64_asm="x86_64cpuid.o:x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o::aes-x86_64.o aesni-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o:ghash-x86_64.o";
+my $x86_64_asm="x86_64cpuid.o:x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o::aes-x86_64.o aesni-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o:ghash-x86_64.o";
my $ia64_asm="ia64cpuid.o:bn-ia64.o ia64-mont.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o::rc4-ia64.o rc4_skey.o:::::ghash-ia64.o:void";
my $sparcv9_asm="sparcv9cap.o sparccpuid.o:bn-sparcv9.o sparcv9-mont.o sparcv9a-mont.o:des_enc-sparc.o fcrypt_b.o:aes_core.o aes_cbc.o aes-sparcv9.o:::sha1-sparcv9.o sha256-sparcv9.o sha512-sparcv9.o:::::::ghash-sparcv9.o:void";
my $sparcv8_asm=":sparcv8.o:des_enc-sparc.o fcrypt_b.o::::::::::::void";
@@ -513,9 +513,9 @@ my %table=(
#
# Win64 targets, WIN64I denotes IA-64 and WIN64A - AMD64
"VC-WIN64I","cl:-W3 -Gs0 -Gy -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64I::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:ia64cpuid.o:ia64.o ia64-mont.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o:::::::ghash-ia64.o:ias:win32",
-"VC-WIN64A","cl:-W3 -Gs0 -Gy -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64A::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:x86_64cpuid.o:bn_asm.o x86_64-mont.o::aes-x86_64.o aesni-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o:ghash-x86_64.o:auto:win32",
+"VC-WIN64A","cl:-W3 -Gs0 -Gy -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64A::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:".eval{my $asm=$x86_64_asm;$asm=~s/x86_64-gcc\.o/bn_asm.o/;$asm}.":auto:win32",
"debug-VC-WIN64I","cl:-W3 -Gs0 -Gy -Zi -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64I::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:ia64cpuid.o:ia64.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o:::::::ghash-ia64.o:ias:win32",
-"debug-VC-WIN64A","cl:-W3 -Gs0 -Gy -Zi -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64A::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:x86_64cpuid.o:bn_asm.o x86_64-mont.o::aes-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o:ghash-x86_64.o:auto:win32",
+"debug-VC-WIN64A","cl:-W3 -Gs0 -Gy -Zi -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64A::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:".eval{my $asm=$x86_64_asm;$asm=~s/x86_64-gcc\.o/bn_asm.o/;$asm}.":auto:win32",
# x86 Win32 target defaults to ANSI API, if you want UNICODE, complement
# 'perl Configure VC-WIN32' with '-DUNICODE -D_UNICODE'
"VC-WIN32","cl:-W3 -Gs0 -GF -Gy -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -D_CRT_SECURE_NO_DEPRECATE:::WIN32::BN_LLONG RC4_INDEX EXPORT_VAR_AS_FN ${x86_gcc_opts}:${x86_asm}:win32n:win32",
@@ -1510,6 +1510,7 @@ $cflags.=" -DOPENSSL_BN_ASM_PART_WORDS" if ($bn_obj =~ /bn-586/);
$cflags.=" -DOPENSSL_IA32_SSE2" if (!$no_sse2 && $bn_obj =~ /86/);
$cflags.=" -DOPENSSL_BN_ASM_MONT" if ($bn_obj =~ /-mont/);
+$cflags.=" -DOPENSSL_BN_ASM_MONT5" if ($bn_obj =~ /-mont5/);
$cflags.=" -DOPENSSL_BN_ASM_GF2m" if ($bn_obj =~ /-gf2m/);
if ($fips)
diff --git a/TABLE b/TABLE
index f520d7116b..b5aea36d97 100644
--- a/TABLE
+++ b/TABLE
@@ -297,7 +297,7 @@ $sys_id =
$lflags =
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -777,7 +777,7 @@ $sys_id = WIN64A
$lflags =
$bn_ops = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN
$cpuid_obj = x86_64cpuid.o
-$bn_obj = bn_asm.o x86_64-mont.o
+$bn_obj = bn_asm.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -1385,7 +1385,7 @@ $sys_id = MACOSX
$lflags = -Wl,-search_paths_first%
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHAR RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -1545,9 +1545,9 @@ $sys_id = WIN64A
$lflags =
$bn_ops = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN
$cpuid_obj = x86_64cpuid.o
-$bn_obj = bn_asm.o x86_64-mont.o
+$bn_obj = bn_asm.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
-$aes_obj = aes-x86_64.o
+$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
$md5_obj = md5-x86_64.o
$sha1_obj = sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o
@@ -2313,7 +2313,7 @@ $sys_id =
$lflags = -ldl
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -2505,7 +2505,7 @@ $sys_id =
$lflags = -ldl
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -2569,7 +2569,7 @@ $sys_id =
$lflags = -ldl
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -4073,7 +4073,7 @@ $sys_id =
$lflags = -ldl
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -4233,7 +4233,7 @@ $sys_id = MINGW64
$lflags = -lws2_32 -lgdi32 -lcrypt32
$bn_ops = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -5193,7 +5193,7 @@ $sys_id =
$lflags = -lsocket -lnsl -ldl
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
@@ -5225,7 +5225,7 @@ $sys_id =
$lflags = -lsocket -lnsl -ldl
$bn_ops = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj = x86_64cpuid.o
-$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-gf2m.o modexp512-x86_64.o
+$bn_obj = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$des_obj =
$aes_obj = aes-x86_64.o aesni-x86_64.o
$bf_obj =
diff --git a/crypto/bn/Makefile b/crypto/bn/Makefile
index 4ae6af5060..1fd8e33371 100644
--- a/crypto/bn/Makefile
+++ b/crypto/bn/Makefile
@@ -98,6 +98,8 @@ x86_64-gcc.o: asm/x86_64-gcc.c
$(CC) $(CFLAGS) -c -o $@ asm/x86_64-gcc.c
x86_64-mont.s: asm/x86_64-mont.pl
$(PERL) asm/x86_64-mont.pl $(PERLASM_SCHEME) > $@
+x86_64-mont5.s: asm/x86_64-mont5.pl
+ $(PERL) asm/x86_64-mont5.pl $(PERLASM_SCHEME) > $@
x86_64-gf2m.s: asm/x86_64-gf2m.pl
$(PERL) asm/x86_64-gf2m.pl $(PERLASM_SCHEME) > $@
modexp512-x86_64.s: asm/modexp512-x86_64.pl
diff --git a/crypto/bn/asm/x86_64-mont.pl b/crypto/bn/asm/x86_64-mont.pl
index 4f330b81f3..c2a308ddfa 100755
--- a/crypto/bn/asm/x86_64-mont.pl
+++ b/crypto/bn/asm/x86_64-mont.pl
@@ -1,7 +1,7 @@
#!/usr/bin/env perl
# ====================================================================
-# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
# project. The module is, however, dual licensed under OpenSSL and
# CRYPTOGAMS licenses depending on where you obtain it. For further
# details see http://www.openssl.org/~appro/cryptogams/.
@@ -142,6 +142,7 @@ $code.=<<___;
jne .L1st
add %rax,$hi1
+ mov ($ap),%rax # ap[0]
adc \$0,%rdx
add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
adc \$0,%rdx
@@ -161,7 +162,6 @@ $code.=<<___;
.Louter:
mov ($bp,$i,8),$m0 # m0=bp[i]
xor $j,$j # j=0
- mov ($ap),%rax # ap[0]
mov $n0,$m1
mov (%rsp),$lo0
mulq $m0 # ap[0]*bp[i]
@@ -208,6 +208,7 @@ $code.=<<___;
jne .Linner
add %rax,$hi1
+ mov ($ap),%rax # ap[0]
adc \$0,%rdx
add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
mov (%rsp,$j,8),$lo0
diff --git a/crypto/bn/asm/x86_64-mont5.pl b/crypto/bn/asm/x86_64-mont5.pl
new file mode 100755
index 0000000000..b7b1ef6161
--- /dev/null
+++ b/crypto/bn/asm/x86_64-mont5.pl
@@ -0,0 +1,834 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# August 2011.
+#
+# Companion to x86_64-mont.pl that optimizes cache-timing attack
+# countermeasures. The subroutines are produced by replacing bp[i]
+# references in their x86_64-mont.pl counterparts with cache-neutral
+# references to powers table computed in BN_mod_exp_mont_consttime.
+# In addition subroutine that scatters elements of the powers table
+# is implemented, so that scatter-/gathering can be tuned without
+# bn_exp.c modifications.
+
+$flavour = shift;
+$output = shift;
+if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
+
+$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
+die "can't locate x86_64-xlate.pl";
+
+open STDOUT,"| $^X $xlate $flavour $output";
+
+# int bn_mul_mont_gather5(
+$rp="%rdi"; # BN_ULONG *rp,
+$ap="%rsi"; # const BN_ULONG *ap,
+$bp="%rdx"; # const BN_ULONG *bp,
+$np="%rcx"; # const BN_ULONG *np,
+$n0="%r8"; # const BN_ULONG *n0,
+$num="%r9"; # int num,
+ # int idx); # 0 to 2^5-1, "index" in $bp holding
+ # pre-computed powers of a', interlaced
+ # in such manner that b[0] is $bp[idx],
+ # b[1] is [2^5+idx], etc.
+$lo0="%r10";
+$hi0="%r11";
+$hi1="%r13";
+$i="%r14";
+$j="%r15";
+$m0="%rbx";
+$m1="%rbp";
+
+$code=<<___;
+.text
+
+.globl bn_mul_mont_gather5
+.type bn_mul_mont_gather5,\@function,6
+.align 64
+bn_mul_mont_gather5:
+ test \$3,${num}d
+ jnz .Lmul_enter
+ cmp \$8,${num}d
+ jb .Lmul_enter
+ jmp .Lmul4x_enter
+
+.align 16
+.Lmul_enter:
+ mov `($win64?56:8)`(%rsp),%r10d # load 7th argument
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ mov ${num}d,${num}d
+ lea 2($num),%r11
+ mov %rsp,%rax
+ neg %r11
+ lea (%rsp,%r11,8),%rsp # tp=alloca(8*(num+2))
+ and \$-1024,%rsp # minimize TLB usage
+
+ mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp
+.Lmul_body:
+ mov $bp,%r12 # reassign $bp
+___
+ $bp="%r12";
+ $STRIDE=2**5*8; # 5 is "window size"
+ $N=$STRIDE/4; # should match cache line size
+$code.=<<___;
+ mov %r10,%r11
+ shr \$`log($N/8)/log(2)`,%r10
+ and \$`$N/8-1`,%r11
+ not %r10
+ lea .Lmagic_masks(%rip),%rax
+ and \$`2**5/($N/8)-1`,%r10 # 5 is "window size"
+ lea 96($bp,%r11,8),$bp # pointer within 1st cache line
+ movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which
+ movq 8(%rax,%r10,8),%xmm5 # cache line contains element
+ movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument
+ movq 24(%rax,%r10,8),%xmm7
+
+ movq `0*$STRIDE/4-96`($bp),%xmm0
+ movq `1*$STRIDE/4-96`($bp),%xmm1
+ pand %xmm4,%xmm0
+ movq `2*$STRIDE/4-96`($bp),%xmm2
+ pand %xmm5,%xmm1
+ movq `3*$STRIDE/4-96`($bp),%xmm3
+ pand %xmm6,%xmm2
+ por %xmm1,%xmm0
+ pand %xmm7,%xmm3
+ por %xmm2,%xmm0
+ lea $STRIDE($bp),$bp
+ por %xmm3,%xmm0
+
+ movq %xmm0,$m0 # m0=bp[0]
+
+ mov ($n0),$n0 # pull n0[0] value
+ mov ($ap),%rax
+
+ xor $i,$i # i=0
+ xor $j,$j # j=0
+
+ movq `0*$STRIDE/4-96`($bp),%xmm0
+ movq `1*$STRIDE/4-96`($bp),%xmm1
+ pand %xmm4,%xmm0
+ movq `2*$STRIDE/4-96`($bp),%xmm2
+ pand %xmm5,%xmm1
+
+ mov $n0,$m1
+ mulq $m0 # ap[0]*bp[0]
+ mov %rax,$lo0
+ mov ($np),%rax
+
+ movq `3*$STRIDE/4-96`($bp),%xmm3
+ pand %xmm6,%xmm2
+ por %xmm1,%xmm0
+ pand %xmm7,%xmm3
+
+ imulq $lo0,$m1 # "tp[0]"*n0
+ mov %rdx,$hi0
+
+ por %xmm2,%xmm0
+ lea $STRIDE($bp),$bp
+ por %xmm3,%xmm0
+
+ mulq $m1 # np[0]*m1
+ add %rax,$lo0 # discarded
+ mov 8($ap),%rax
+ adc \$0,%rdx
+ mov %rdx,$hi1
+
+ lea 1($j),$j # j++
+ jmp .L1st_enter
+
+.align 16
+.L1st:
+ add %rax,$hi1
+ mov ($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
+ mov $lo0,$hi0
+ adc \$0,%rdx
+ mov $hi1,-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$hi1
+
+.L1st_enter:
+ mulq $m0 # ap[j]*bp[0]
+ add %rax,$hi0
+ mov ($np,$j,8),%rax
+ adc \$0,%rdx
+ lea 1($j),$j # j++
+ mov %rdx,$lo0
+
+ mulq $m1 # np[j]*m1
+ cmp $num,$j
+ jne .L1st
+
+ movq %xmm0,$m0 # bp[1]
+
+ add %rax,$hi1
+ mov ($ap),%rax # ap[0]
+ adc \$0,%rdx
+ add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov $hi1,-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$hi1
+ mov $lo0,$hi0
+
+ xor %rdx,%rdx
+ add $hi0,$hi1
+ adc \$0,%rdx
+ mov $hi1,-8(%rsp,$num,8)
+ mov %rdx,(%rsp,$num,8) # store upmost overflow bit
+
+ lea 1($i),$i # i++
+ jmp .Louter
+.align 16
+.Louter:
+ xor $j,$j # j=0
+ mov $n0,$m1
+ mov (%rsp),$lo0
+
+ movq `0*$STRIDE/4-96`($bp),%xmm0
+ movq `1*$STRIDE/4-96`($bp),%xmm1
+ pand %xmm4,%xmm0
+ movq `2*$STRIDE/4-96`($bp),%xmm2
+ pand %xmm5,%xmm1
+
+ mulq $m0 # ap[0]*bp[i]
+ add %rax,$lo0 # ap[0]*bp[i]+tp[0]
+ mov ($np),%rax
+ adc \$0,%rdx
+
+ movq `3*$STRIDE/4-96`($bp),%xmm3
+ pand %xmm6,%xmm2
+ por %xmm1,%xmm0
+ pand %xmm7,%xmm3
+
+ imulq $lo0,$m1 # tp[0]*n0
+ mov %rdx,$hi0
+
+ por %xmm2,%xmm0
+ lea $STRIDE($bp),$bp
+ por %xmm3,%xmm0
+
+ mulq $m1 # np[0]*m1
+ add %rax,$lo0 # discarded
+ mov 8($ap),%rax
+ adc \$0,%rdx
+ mov 8(%rsp),$lo0 # tp[1]
+ mov %rdx,$hi1
+
+ lea 1($j),$j # j++
+ jmp .Linner_enter
+
+.align 16
+.Linner:
+ add %rax,$hi1
+ mov ($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
+ mov (%rsp,$j,8),$lo0
+ adc \$0,%rdx
+ mov $hi1,-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$hi1
+
+.Linner_enter:
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$hi0
+ mov ($np,$j,8),%rax
+ adc \$0,%rdx
+ add $hi0,$lo0 # ap[j]*bp[i]+tp[j]
+ mov %rdx,$hi0
+ adc \$0,$hi0
+ lea 1($j),$j # j++
+
+ mulq $m1 # np[j]*m1
+ cmp $num,$j
+ jne .Linner
+
+ movq %xmm0,$m0 # bp[i+1]
+
+ add %rax,$hi1
+ mov ($ap),%rax # ap[0]
+ adc \$0,%rdx
+ add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
+ mov (%rsp,$j,8),$lo0
+ adc \$0,%rdx
+ mov $hi1,-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$hi1
+
+ xor %rdx,%rdx
+ add $hi0,$hi1
+ adc \$0,%rdx
+ add $lo0,$hi1 # pull upmost overflow bit
+ adc \$0,%rdx
+ mov $hi1,-8(%rsp,$num,8)
+ mov %rdx,(%rsp,$num,8) # store upmost overflow bit
+
+ lea 1($i),$i # i++
+ cmp $num,$i
+ jl .Louter
+
+ xor $i,$i # i=0 and clear CF!
+ mov (%rsp),%rax # tp[0]
+ lea (%rsp),$ap # borrow ap for tp
+ mov $num,$j # j=num
+ jmp .Lsub
+.align 16
+.Lsub: sbb ($np,$i,8),%rax
+ mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i]
+ mov 8($ap,$i,8),%rax # tp[i+1]
+ lea 1($i),$i # i++
+ dec $j # doesnn't affect CF!
+ jnz .Lsub
+
+ sbb \$0,%rax # handle upmost overflow bit
+ xor $i,$i
+ and %rax,$ap
+ not %rax
+ mov $rp,$np
+ and %rax,$np
+ mov $num,$j # j=num
+ or $np,$ap # ap=borrow?tp:rp
+.align 16
+.Lcopy: # copy or in-place refresh
+ mov ($ap,$i,8),%rax
+ mov $i,(%rsp,$i,8) # zap temporary vector
+ mov %rax,($rp,$i,8) # rp[i]=tp[i]
+ lea 1($i),$i
+ sub \$1,$j
+ jnz .Lcopy
+
+ mov 8(%rsp,$num,8),%rsi # restore %rsp
+ mov \$1,%rax
+ mov (%rsi),%r15
+ mov 8(%rsi),%r14
+ mov 16(%rsi),%r13
+ mov 24(%rsi),%r12
+ mov 32(%rsi),%rbp
+ mov 40(%rsi),%rbx
+ lea 48(%rsi),%rsp
+.Lmul_epilogue:
+ ret
+.size bn_mul_mont_gather5,.-bn_mul_mont_gather5
+___
+{{{
+my @A=("%r10","%r11");
+my @N=("%r13","%rdi");
+$code.=<<___;
+.type bn_mul4x_mont_gather5,\@function,6
+.align 16
+bn_mul4x_mont_gather5:
+.Lmul4x_enter:
+ mov `($win64?56:8)`(%rsp),%r10d # load 7th argument
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ mov ${num}d,${num}d
+ lea 4($num),%r11
+ mov %rsp,%rax # !!!!
+ neg %r11
+ lea (%rsp,%r11,8),%rsp # tp=alloca(8*(num+4))
+ and \$-1024,%rsp # minimize TLB usage
+
+ mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp
+.Lmul4x_body:
+ mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp
+ mov %rdx,%r12 # reassign $bp
+___
+ $bp="%r12";
+ $STRIDE=2**5*8; # 5 is "window size"
+ $N=$STRIDE/4; # should match cache line size
+$code.=<<___;
+ mov %r10,%r11
+ shr \$`log($N/8)/log(2)`,%r10
+ and \$`$N/8-1`,%r11
+ not %r10
+ lea .Lmagic_masks(%rip),%rax
+ and \$`2**5/($N/8)-1`,%r10 # 5 is "window size"
+ lea 96($bp,%r11,8),$bp # pointer within 1st cache line
+ movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which
+ movq 8(%rax,%r10,8),%xmm5 # cache line contains element
+ movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument
+ movq 24(%rax,%r10,8),%xmm7
+
+ movq `0*$STRIDE/4-96`($bp),%xmm0
+ movq `1*$STRIDE/4-96`($bp),%xmm1
+ pand %xmm4,%xmm0
+ movq `2*$STRIDE/4-96`($bp),%xmm2
+ pand %xmm5,%xmm1
+ movq `3*$STRIDE/4-96`($bp),%xmm3
+ pand %xmm6,%xmm2
+ por %xmm1,%xmm0
+ pand %xmm7,%xmm3
+ por %xmm2,%xmm0
+ lea $STRIDE($bp),$bp
+ por %xmm3,%xmm0
+
+ movq %xmm0,$m0 # m0=bp[0]
+ mov ($n0),$n0 # pull n0[0] value
+ mov ($ap),%rax
+
+ xor $i,$i # i=0
+ xor $j,$j # j=0
+
+ movq `0*$STRIDE/4-96`($bp),%xmm0
+ movq `1*$STRIDE/4-96`($bp),%xmm1
+ pand %xmm4,%xmm0
+ movq `2*$STRIDE/4-96`($bp),%xmm2
+ pand %xmm5,%xmm1
+
+ mov $n0,$m1
+ mulq $m0 # ap[0]*bp[0]
+ mov %rax,$A[0]
+ mov ($np),%rax
+
+ movq `3*$STRIDE/4-96`($bp),%xmm3
+ pand %xmm6,%xmm2
+ por %xmm1,%xmm0
+ pand %xmm7,%xmm3
+
+ imulq $A[0],$m1 # "tp[0]"*n0
+ mov %rdx,$A[1]
+
+ por %xmm2,%xmm0
+ lea $STRIDE($bp),$bp
+ por %xmm3,%xmm0
+
+ mulq $m1 # np[0]*m1
+ add %rax,$A[0] # discarded
+ mov 8($ap),%rax
+ adc \$0,%rdx
+ mov %rdx,$N[1]
+
+ mulq $m0
+ add %rax,$A[1]
+ mov 8($np),%rax
+ adc \$0,%rdx
+ mov %rdx,$A[0]
+
+ mulq $m1
+ add %rax,$N[1]
+ mov 16($ap),%rax
+ adc \$0,%rdx
+ add $A[1],$N[1]
+ lea 4($j),$j # j++
+ adc \$0,%rdx
+ mov $N[1],(%rsp)
+ mov %rdx,$N[0]
+ jmp .L1st4x
+.align 16
+.L1st4x:
+ mulq $m0 # ap[j]*bp[0]
+ add %rax,$A[0]
+ mov -16($np,$j,8),%rax
+ adc \$0,%rdx
+ mov %rdx,$A[1]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[0]
+ mov -8($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov $N[0],-24(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[1]
+
+ mulq $m0 # ap[j]*bp[0]
+ add %rax,$A[1]
+ mov -8($np,$j,8),%rax
+ adc \$0,%rdx
+ mov %rdx,$A[0]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[1]
+ mov ($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov $N[1],-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[0]
+
+ mulq $m0 # ap[j]*bp[0]
+ add %rax,$A[0]
+ mov ($np,$j,8),%rax
+ adc \$0,%rdx
+ mov %rdx,$A[1]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[0]
+ mov 8($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov $N[0],-8(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[1]
+
+ mulq $m0 # ap[j]*bp[0]
+ add %rax,$A[1]
+ mov 8($np,$j,8),%rax
+ adc \$0,%rdx
+ lea 4($j),$j # j++
+ mov %rdx,$A[0]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[1]
+ mov -16($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov $N[1],-32(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[0]
+ cmp $num,$j
+ jl .L1st4x
+
+ mulq $m0 # ap[j]*bp[0]
+ add %rax,$A[0]
+ mov -16($np,$j,8),%rax
+ adc \$0,%rdx
+ mov %rdx,$A[1]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[0]
+ mov -8($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov $N[0],-24(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[1]
+
+ mulq $m0 # ap[j]*bp[0]
+ add %rax,$A[1]
+ mov -8($np,$j,8),%rax
+ adc \$0,%rdx
+ mov %rdx,$A[0]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[1]
+ mov ($ap),%rax # ap[0]
+ adc \$0,%rdx
+ add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov $N[1],-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[0]
+
+ movq %xmm0,$m0 # bp[1]
+
+ xor $N[1],$N[1]
+ add $A[0],$N[0]
+ adc \$0,$N[1]
+ mov $N[0],-8(%rsp,$j,8)
+ mov $N[1],(%rsp,$j,8) # store upmost overflow bit
+
+ lea 1($i),$i # i++
+.align 4
+.Louter4x:
+ xor $j,$j # j=0
+ movq `0*$STRIDE/4-96`($bp),%xmm0
+ movq `1*$STRIDE/4-96`($bp),%xmm1
+ pand %xmm4,%xmm0
+ movq `2*$STRIDE/4-96`($bp),%xmm2
+ pand %xmm5,%xmm1
+
+ mov (%rsp),$A[0]
+ mov $n0,$m1
+ mulq $m0 # ap[0]*bp[i]
+ add %rax,$A[0] # ap[0]*bp[i]+tp[0]
+ mov ($np),%rax
+ adc \$0,%rdx
+
+ movq `3*$STRIDE/4-96`($bp),%xmm3
+ pand %xmm6,%xmm2
+ por %xmm1,%xmm0
+ pand %xmm7,%xmm3
+
+ imulq $A[0],$m1 # tp[0]*n0
+ mov %rdx,$A[1]
+
+ por %xmm2,%xmm0
+ lea $STRIDE($bp),$bp
+ por %xmm3,%xmm0
+
+ mulq $m1 # np[0]*m1
+ add %rax,$A[0] # "$N[0]", discarded
+ mov 8($ap),%rax
+ adc \$0,%rdx
+ mov %rdx,$N[1]
+
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$A[1]
+ mov 8($np),%rax
+ adc \$0,%rdx
+ add 8(%rsp),$A[1] # +tp[1]
+ adc \$0,%rdx
+ mov %rdx,$A[0]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[1]
+ mov 16($ap),%rax
+ adc \$0,%rdx
+ add $A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j]
+ lea 4($j),$j # j+=2
+ adc \$0,%rdx
+ mov $N[1],(%rsp) # tp[j-1]
+ mov %rdx,$N[0]
+ jmp .Linner4x
+.align 16
+.Linner4x:
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$A[0]
+ mov -16($np,$j,8),%rax
+ adc \$0,%rdx
+ add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
+ adc \$0,%rdx
+ mov %rdx,$A[1]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[0]
+ mov -8($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[0],$N[0]
+ adc \$0,%rdx
+ mov $N[0],-24(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[1]
+
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$A[1]
+ mov -8($np,$j,8),%rax
+ adc \$0,%rdx
+ add -8(%rsp,$j,8),$A[1]
+ adc \$0,%rdx
+ mov %rdx,$A[0]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[1]
+ mov ($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[1],$N[1]
+ adc \$0,%rdx
+ mov $N[1],-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[0]
+
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$A[0]
+ mov ($np,$j,8),%rax
+ adc \$0,%rdx
+ add (%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
+ adc \$0,%rdx
+ mov %rdx,$A[1]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[0]
+ mov 8($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[0],$N[0]
+ adc \$0,%rdx
+ mov $N[0],-8(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[1]
+
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$A[1]
+ mov 8($np,$j,8),%rax
+ adc \$0,%rdx
+ add 8(%rsp,$j,8),$A[1]
+ adc \$0,%rdx
+ lea 4($j),$j # j++
+ mov %rdx,$A[0]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[1]
+ mov -16($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[1],$N[1]
+ adc \$0,%rdx
+ mov $N[1],-32(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[0]
+ cmp $num,$j
+ jl .Linner4x
+
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$A[0]
+ mov -16($np,$j,8),%rax
+ adc \$0,%rdx
+ add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
+ adc \$0,%rdx
+ mov %rdx,$A[1]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[0]
+ mov -8($ap,$j,8),%rax
+ adc \$0,%rdx
+ add $A[0],$N[0]
+ adc \$0,%rdx
+ mov $N[0],-24(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[1]
+
+ mulq $m0 # ap[j]*bp[i]
+ add %rax,$A[1]
+ mov -8($np,$j,8),%rax
+ adc \$0,%rdx
+ add -8(%rsp,$j,8),$A[1]
+ adc \$0,%rdx
+ lea 1($i),$i # i++
+ mov %rdx,$A[0]
+
+ mulq $m1 # np[j]*m1
+ add %rax,$N[1]
+ mov ($ap),%rax # ap[0]
+ adc \$0,%rdx
+ add $A[1],$N[1]
+ adc \$0,%rdx
+ mov $N[1],-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$N[0]
+
+ movq %xmm0,$m0 # bp[i+1]
+
+ xor $N[1],$N[1]
+ add $A[0],$N[0]
+ adc \$0,$N[1]
+ add (%rsp,$num,8),$N[0] # pull upmost overflow bit
+ adc \$0,$N[1]
+ mov $N[0],-8(%rsp,$j,8)
+ mov $N[1],(%rsp,$j,8) # store upmost overflow bit
+
+ cmp $num,$i
+ jl .Louter4x
+___
+{
+my @ri=("%rax","%rdx",$m0,$m1);
+$code.=<<___;
+ mov 16(%rsp,$num,8),$rp # restore $rp
+ mov 0(%rsp),@ri[0] # tp[0]
+ pxor %xmm0,%xmm0
+ mov 8(%rsp),@ri[1] # tp[1]
+ shr \$2,$num # num/=4
+ lea (%rsp),$ap # borrow ap for tp
+ xor $i,$i # i=0 and clear CF!
+
+ sub 0($np),@ri[0]
+ mov 16($ap),@ri[2] # tp[2]
+ mov 24($ap),@ri[3] # tp[3]
+ sbb 8($np),@ri[1]
+ lea -1($num),$j # j=num/4-1
+ jmp .Lsub4x
+.align 16
+.Lsub4x:
+ mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
+ mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
+ sbb 16($np,$i,8),@ri[2]
+ mov 32($ap,$i,8),@ri[0] # tp[i+1]
+ mov 40($ap,$i,8),@ri[1]
+ sbb 24($np,$i,8),@ri[3]
+ mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
+ mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
+ sbb 32($np,$i,8),@ri[0]
+ mov 48($ap,$i,8),@ri[2]
+ mov 56($ap,$i,8),@ri[3]
+ sbb 40($np,$i,8),@ri[1]
+ lea 4($i),$i # i++
+ dec $j # doesnn't affect CF!
+ jnz .Lsub4x
+
+ mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
+ mov 32($ap,$i,8),@ri[0] # load overflow bit
+ sbb 16($np,$i,8),@ri[2]
+ mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
+ sbb 24($np,$i,8),@ri[3]
+ mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
+
+ sbb \$0,@ri[0] # handle upmost overflow bit
+ mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
+ xor $i,$i # i=0
+ and @ri[0],$ap
+ not @ri[0]
+ mov $rp,$np
+ and @ri[0],$np
+ lea -1($num),$j
+ or $np,$ap # ap=borrow?tp:rp
+
+ movdqu ($ap),%xmm1
+ movdqa %xmm0,(%rsp)
+ movdqu %xmm1,($rp)
+ jmp .Lcopy4x
+.align 16
+.Lcopy4x: # copy or in-place refresh
+ movdqu 16($ap,$i),%xmm2
+ movdqu 32($ap,$i),%xmm1
+ movdqa %xmm0,16(%rsp,$i)
+ movdqu %xmm2,16($rp,$i)
+ movdqa %xmm0,32(%rsp,$i)
+ movdqu %xmm1,32($rp,$i)
+ lea 32($i),$i
+ dec $j
+ jnz .Lcopy4x
+
+ shl \$2,$num
+ movdqu 16($ap,$i),%xmm2
+ movdqa %xmm0,16(%rsp,$i)
+ movdqu %xmm2,16($rp,$i)
+___
+}
+$code.=<<___;
+ mov 8(%rsp,$num,8),%rsi # restore %rsp
+ mov \$1,%rax
+ mov (%rsi),%r15
+ mov 8(%rsi),%r14
+ mov 16(%rsi),%r13
+ mov 24(%rsi),%r12
+ mov 32(%rsi),%rbp
+ mov 40(%rsi),%rbx
+ lea 48(%rsi),%rsp
+.Lmul4x_epilogue:
+ ret
+.size bn_mul4x_mont_gather5,.-bn_mul4x_mont_gather5
+___
+}}}
+
+{
+my ($inp,$num,$tbl,$idx)=$win64?("%rcx","%rdx","%r8", "%r9") : # Win64 order
+ ("%rdi","%rsi","%rdx","%rcx"); # Unix order
+$code.=<<___;
+.globl bn_scatter5
+.type bn_scatter5,\@abi-omnipotent
+.align 16
+bn_scatter5:
+ lea ($tbl,$idx,8),$tbl
+.Lscatter:
+ mov ($inp),%rax
+ lea 8($inp),$inp
+ mov %rax,($tbl)
+ lea 32*8($tbl),$tbl
+ sub \$1,$num
+ jnz .Lscatter
+ ret
+.size bn_scatter5,.-bn_scatter5
+___
+}
+$code.=<<___;
+.align 64
+.Lmagic_masks:
+ .long 0,0, 0,0, 0,0, -1,-1
+ .long 0,0, 0,0, 0,0, 0,0
+.asciz "Montgomery Multiplication with scatter/gather for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
+___
+
+$code =~ s/\`([^\`]*)\`/eval($1)/gem;
+
+print $code;
+close STDOUT;
diff --git a/crypto/bn/bn_exp.c b/crypto/bn/bn_exp.c
index ce31ad0a58..5b00aa1e3c 100644
--- a/crypto/bn/bn_exp.c
+++ b/crypto/bn/bn_exp.c
@@ -114,6 +114,18 @@
#include "cryptlib.h"
#include "bn_lcl.h"
+#include <stdlib.h>
+#ifdef _WIN32
+# include <malloc.h>
+# ifndef alloca
+# define alloca _alloca
+# endif
+#elif defined(__GNUC__)
+# ifndef alloca
+# define alloca(s) __builtin_alloca((s))
+# endif
+#endif
+
/* maximum precomputation table size for *variable* sliding windows */
#define TABLE_SIZE 32
@@ -562,7 +574,7 @@ static int MOD_EXP_CTIME_COPY_FROM_PREBUF(BIGNUM *b, int top, unsigned char *buf
/* Given a pointer value, compute the next address that is a cache line multiple. */
#define MOD_EXP_CTIME_ALIGN(x_) \
- ((unsigned char*)(x_) + (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - (((BN_ULONG)(x_)) & (MOD_EXP_CTIME_MIN_CACHE_LINE_MASK))))
+ ((unsigned char*)(x_) + (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - (((size_t)(x_)) & (MOD_EXP_CTIME_MIN_CACHE_LINE_MASK))))
/* This variant of BN_mod_exp_mont() uses fixed windows and the special
* precomputation memory layout to limit data-dependency to a minimum
@@ -573,17 +585,16 @@ static int MOD_EXP_CTIME_COPY_FROM_PREBUF(BIGNUM *b, int top, unsigned char *buf
int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
{
- int i,bits,ret=0,idx,window,wvalue;
+ int i,bits,ret=0,window,wvalue;
int top;
BIGNUM *r;
- const BIGNUM *aa;
BN_MONT_CTX *mont=NULL;
int numPowers;
unsigned char *powerbufFree=NULL;
int powerbufLen = 0;
unsigned char *powerbuf=NULL;
- BIGNUM *computeTemp=NULL, *am=NULL;
+ BIGNUM computeTemp, *am=NULL;
bn_check_top(a);
bn_check_top(p);
@@ -621,39 +632,149 @@ int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
/* Get the window size to use with size of p. */
window = BN_window_bits_for_ctime_exponent_size(bits);
+#if defined(OPENSSL_BN_ASM_MONT5)
+ if (window==6 && bits<=1024) window=5; /* ~5% improvement of 2048-bit RSA sign */
+#endif
+ /* Adjust the number of bits up to a multiple of the window size.
+ * If the exponent length is not a multiple of the window size, then
+ * this pads the most significant bits with zeros to normalize the
+ * scanning loop to there's no special cases.
+ *
+ * * NOTE: Making the window size a power of two less than the native
+ * * word size ensures that the padded bits won't go past the last
+ * * word in the internal BIGNUM structure. Going past the end will
+ * * still produce the correct result, but causes a different branch
+ * * to be taken in the BN_is_bit_set function.
+ */
+ bits = ((bits+window-1)/window)*window;
/* Allocate a buffer large enough to hold all of the pre-computed
- * powers of a.
+ * powers of a, plus computeTemp.
*/
numPowers = 1 << window;
- powerbufLen = sizeof(m->d[0])*top*numPowers;
- if ((powerbufFree=(unsigned char*)OPENSSL_malloc(powerbufLen+MOD_EXP_