# from platform to platform, but in average it's ~5%/15%/25%/33%
# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
+# August 2011.
+#
+# Unroll and modulo-schedule inner loops in such manner that they
+# are "fallen through" for input lengths of 8, which is critical for
+# 1024-bit RSA *sign*. Average performance improvement in comparison
+# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
+# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
+
$flavour = shift;
$output = shift;
if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
.type bn_mul_mont,\@function,6
.align 16
bn_mul_mont:
- cmp $ap,$bp
- jne .Lmul_enter
- test \$1,${num}d
+ test \$3,${num}d
jnz .Lmul_enter
- cmp \$4,${num}d
+ cmp \$8,${num}d
jb .Lmul_enter
- jmp __bn_sqr_enter
+ cmp $ap,$bp
+ jne .Lmul4x_enter
+ jmp .Lsqr4x_enter
.align 16
.Lmul_enter:
and \$-1024,%rsp # minimize TLB usage
mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
-.Lprologue:
+.Lmul_body:
mov $bp,%r12 # reassign $bp
___
$bp="%r12";
$code.=<<___;
mov ($n0),$n0 # pull n0[0] value
+ mov ($bp),$m0 # m0=bp[0]
+ mov ($ap),%rax
xor $i,$i # i=0
xor $j,$j # j=0
- mov ($bp),$m0 # m0=bp[0]
- mov ($ap),%rax
+ mov $n0,$m1
mulq $m0 # ap[0]*bp[0]
mov %rax,$lo0
- mov %rdx,$hi0
+ mov ($np),%rax
- imulq $n0,%rax # "tp[0]"*n0
- mov %rax,$m1
+ imulq $lo0,$m1 # "tp[0]"*n0
+ mov %rdx,$hi0
- mulq ($np) # np[0]*m1
- add $lo0,%rax # discarded
+ 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
- mulq $m0 # ap[j]*bp[0]
- add $hi0,%rax
adc \$0,%rdx
- mov %rax,$lo0
+ 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
- mov %rdx,$hi0
+ adc \$0,%rdx
+ lea 1($j),$j # j++
+ mov %rdx,$lo0
mulq $m1 # np[j]*m1
- add $hi1,%rax
- lea 1($j),$j # j++
+ cmp $num,$j
+ jne .L1st
+
+ add %rax,$hi1
adc \$0,%rdx
- add $lo0,%rax # np[j]*m1+ap[j]*bp[0]
+ add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
adc \$0,%rdx
- mov %rax,-16(%rsp,$j,8) # tp[j-1]
- cmp $num,$j
+ mov $hi1,-16(%rsp,$j,8) # tp[j-1]
mov %rdx,$hi1
- jl .L1st
+ mov $lo0,$hi0
xor %rdx,%rdx
add $hi0,$hi1
mov %rdx,(%rsp,$num,8) # store upmost overflow bit
lea 1($i),$i # i++
-.align 4
+ jmp .Louter
+.align 16
.Louter:
- xor $j,$j # j=0
-
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 $m0 # ap[0]*bp[i]
- add (%rsp),%rax # ap[0]*bp[i]+tp[0]
+ add %rax,$lo0 # ap[0]*bp[i]+tp[0]
+ mov ($np),%rax
adc \$0,%rdx
- mov %rax,$lo0
- mov %rdx,$hi0
- imulq $n0,%rax # tp[0]*n0
- mov %rax,$m1
+ imulq $lo0,$m1 # tp[0]*n0
+ mov %rdx,$hi0
- mulq ($np,$j,8) # np[0]*m1
- add $lo0,%rax # discarded
- mov 8(%rsp),$lo0 # tp[1]
+ 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),$j # j++
- jmp .Linner
+ jmp .Linner_enter
+
.align 16
.Linner:
+ add %rax,$hi1
mov ($ap,$j,8),%rax
- mulq $m0 # ap[j]*bp[i]
- add $hi0,%rax
adc \$0,%rdx
- add %rax,$lo0 # ap[j]*bp[i]+tp[j]
+ 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
- add $hi1,%rax
- lea 1($j),$j # j++
- adc \$0,%rdx
- add $lo0,%rax # np[j]*m1+ap[j]*bp[i]+tp[j]
+ cmp $num,$j
+ jne .Linner
+
+ add %rax,$hi1
adc \$0,%rdx
+ add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
mov (%rsp,$j,8),$lo0
- cmp $num,$j
- mov %rax,-16(%rsp,$j,8) # tp[j-1]
+ adc \$0,%rdx
+ mov $hi1,-16(%rsp,$j,8) # tp[j-1]
mov %rdx,$hi1
- jl .Linner
xor %rdx,%rdx
add $hi0,$hi1
cmp $num,$i
jl .Louter
- lea (%rsp),$ap # borrow ap for tp
- lea -1($num),$j # j=num-1
-
- mov ($ap),%rax # tp[0]
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]
- dec $j # doesn't affect CF!
mov 8($ap,$i,8),%rax # tp[i+1]
lea 1($i),$i # i++
- jge .Lsub
+ 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,$np
- lea -1($num),$j
+ 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,.-bn_mul_mont
+___
+{{{
+my @A=("%r10","%r11");
+my @N=("%r13","%rdi");
+$code.=<<___;
+.type bn_mul4x_mont,\@function,6
+.align 16
+bn_mul4x_mont:
+.Lmul4x_enter:
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ mov ${num}d,${num}d
+ lea 4($num),%r10
+ mov %rsp,%r11
+ neg %r10
+ lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+4))
+ and \$-1024,%rsp # minimize TLB usage
+
+ mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
+.Lmul4x_body:
+ mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp
+ mov %rdx,%r12 # reassign $bp
+___
+ $bp="%r12";
+$code.=<<___;
+ mov ($n0),$n0 # pull n0[0] value
+ mov ($bp),$m0 # m0=bp[0]
+ mov ($ap),%rax
+
+ xor $i,$i # i=0
+ xor $j,$j # j=0
+
+ mov $n0,$m1
+ mulq $m0 # ap[0]*bp[0]
+ mov %rax,$A[0]
+ mov ($np),%rax
+
+ imulq $A[0],$m1 # "tp[0]"*n0
+ mov %rdx,$A[1]
+
+ 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
- mov %rax,($rp,$j,8) # rp[i]=tp[i]
- mov $i,(%rsp,$j,8) # zap temporary vector
+ 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]
+
+ 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:
+ mov ($bp,$i,8),$m0 # m0=bp[i]
+ xor $j,$j # j=0
+ 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
+
+ imulq $A[0],$m1 # tp[0]*n0
+ mov %rdx,$A[1]
+
+ 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]
+
+ 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 $j
- jge .Lcopy
+ jnz .Lcopy4x
+ shl \$2,$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 32(%rsi),%rbp
mov 40(%rsi),%rbx
lea 48(%rsi),%rsp
-.Lepilogue:
+.Lmul4x_epilogue:
ret
-.size bn_mul_mont,.-bn_mul_mont
+.size bn_mul4x_mont,.-bn_mul4x_mont
___
+}}}
\f{{{
######################################################################
-# void bn_sqr_mont(
+# void bn_sqr4x_mont(
my $rptr="%rdi"; # const BN_ULONG *rptr,
my $aptr="%rsi"; # const BN_ULONG *aptr,
my $bptr="%rdx"; # not used
my $nptr="%rcx"; # const BN_ULONG *nptr,
my $n0 ="%r8"; # const BN_ULONG *n0);
-my $num ="%r9"; # int num, has to be even and not less than 4
+my $num ="%r9"; # int num, has to be divisible by 4 and
+ # not less than 8
my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
my @A0=("%r10","%r11");
my ($a0,$a1,$ai)=("%r14","%r15","%rbx");
$code.=<<___;
-.type bn_sqr_mont,\@function,5
+.type bn_sqr4x_mont,\@function,6
.align 16
-bn_sqr_mont:
-__bn_sqr_enter:
+bn_sqr4x_mont:
+.Lsqr4x_enter:
push %rbx
push %rbp
push %r12
mov $nptr,40(%rsp)
mov $n0, 48(%rsp)
mov %r11, 56(%rsp) # save original %rsp
-.Lsqr_body:
+.Lsqr4x_body:
##############################################################
# Squaring part:
#
# b) shift result of a) by 1 to the left and accumulate
# a[i]*a[i] products;
#
- lea 16(%r10),$i # $i=-($num-16)
+ lea 32(%r10),$i # $i=-($num-32)
lea ($aptr,$num),$aptr # end of a[] buffer, ($aptr,$i)=&ap[2]
mov $num,$j # $j=$num
- pxor %xmm0,%xmm0
- lea 64(%rsp),$tptr
-.Lbzero: # clear t[$num]
- movdqa %xmm0,($tptr)
- lea 16($tptr),$tptr
- sub \$16,$j
- jnz .Lbzero
- jmp .Lsqr_outer
+
+ # comments apply to $num==8 case
+ mov -32($aptr,$i),$a0 # a[0]
+ lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
+ mov -24($aptr,$i),%rax # a[1]
+ lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
+ mov -16($aptr,$i),$ai # a[2]
+ mov %rax,$a1
+
+ mul $a0 # a[1]*a[0]
+ mov %rax,$A0[0] # a[1]*a[0]
+ mov $ai,%rax # a[2]
+ mov %rdx,$A0[1]
+ mov $A0[0],-24($tptr,$i) # t[1]
+
+ xor $A0[0],$A0[0]
+ mul $a0 # a[2]*a[0]
+ add %rax,$A0[1]
+ mov $ai,%rax
+ adc %rdx,$A0[0]
+ mov $A0[1],-16($tptr,$i) # t[2]
+
+ lea -16($i),$j # j=-16
+
+
+ mov 8($aptr,$j),$ai # a[3]
+ mul $a1 # a[2]*a[1]
+ mov %rax,$A1[0] # a[2]*a[1]+t[3]
+ mov $ai,%rax
+ mov %rdx,$A1[1]
+
+ xor $A0[1],$A0[1]
+ add $A1[0],$A0[0]
+ lea 16($j),$j
+ adc \$0,$A0[1]
+ mul $a0 # a[3]*a[0]
+ add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
+ mov $ai,%rax
+ adc %rdx,$A0[1]
+ mov $A0[0],-8($tptr,$j) # t[3]
+ jmp .Lsqr4x_1st
.align 16
-.Lsqr_outer: # comments apply to $num==4 case
- mov -16($aptr,$i),$a0 # a[0]
+.Lsqr4x_1st:
+ mov ($aptr,$j),$ai # a[4]
+ xor $A1[0],$A1[0]
+ mul $a1 # a[3]*a[1]
+ add %rax,$A1[1] # a[3]*a[1]+t[4]
+ mov $ai,%rax
+ adc %rdx,$A1[0]
+
+ xor $A0[0],$A0[0]
+ add $A1[1],$A0[1]
+ adc \$0,$A0[0]
+ mul $a0 # a[4]*a[0]
+ add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4]
+ mov $ai,%rax # a[3]
+ adc %rdx,$A0[0]
+ mov $A0[1],($tptr,$j) # t[4]
+
+
+ mov 8($aptr,$j),$ai # a[5]
+ xor $A1[1],$A1[1]
+ mul $a1 # a[4]*a[3]
+ add %rax,$A1[0] # a[4]*a[3]+t[5]
+ mov $ai,%rax
+ adc %rdx,$A1[1]
+
+ xor $A0[1],$A0[1]
+ add $A1[0],$A0[0]
+ lea 16($j),$j
+ adc \$0,$A0[1]
+ mul $a0 # a[5]*a[2]
+ add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5]
+ mov $ai,%rax
+ adc %rdx,$A0[1]
+ mov $A0[0],-8($tptr,$j) # t[5]
+
+ mov ($aptr,$j),$ai # a[6]
+ xor $A1[0],$A1[0]
+ mul $a1 # a[5]*a[3]
+ add %rax,$A1[1] # a[5]*a[3]+t[6]
+ mov $ai,%rax
+ adc %rdx,$A1[0]
+
+ xor $A0[0],$A0[0]
+ add $A1[1],$A0[1]
+ adc \$0,$A0[0]
+ mul $a0 # a[6]*a[2]
+ add %rax,$A0[1] # a[6]*a[2]+a[5]*a[3]+t[6]
+ mov $ai,%rax # a[3]
+ adc %rdx,$A0[0]
+ mov $A0[1],($tptr,$j) # t[6]
+
+
+ mov 8($aptr,$j),$ai # a[7]
+ xor $A1[1],$A1[1]
+ mul $a1 # a[6]*a[5]
+ add %rax,$A1[0] # a[6]*a[5]+t[7]
+ mov $ai,%rax
+ adc %rdx,$A1[1]
+
+ xor $A0[1],$A0[1]
+ add $A1[0],$A0[0]
+ lea 16($j),$j
+ adc \$0,$A0[1]
+ mul $a0 # a[7]*a[4]
+ add %rax,$A0[0] # a[7]*a[4]+a[6]*a[5]+t[6]
+ mov $ai,%rax
+ adc %rdx,$A0[1]
+ mov $A0[0],-8($tptr,$j) # t[7]
+
+ cmp \$0,$j
+ jne .Lsqr4x_1st
+
+ xor $A1[0],$A1[0]
+ add $A0[1],$A1[1]
+ adc \$0,$A1[0]
+ mul $a1 # a[7]*a[5]
+ add %rax,$A1[1]
+ adc %rdx,$A1[0]
+
+ mov $A1[1],($tptr) # t[8]
+ lea 16($i),$i
+ mov $A1[0],8($tptr) # t[9]
+ jmp .Lsqr4x_outer
+
+.align 16
+.Lsqr4x_outer: # comments apply to $num==6 case
+ mov -32($aptr,$i),$a0 # a[0]
lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
- mov -8($aptr,$i),%rax # a[1]
- lea -16($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
- mov ($aptr,$i),$ai # a[2]
+ mov -24($aptr,$i),%rax # a[1]
+ lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
+ mov -16($aptr,$i),$ai # a[2]
mov %rax,$a1
- mov -8($tptr,$i),$A0[0] # t[1]
+ mov -24($tptr,$i),$A0[0] # t[1]
xor $A0[1],$A0[1]
mul $a0 # a[1]*a[0]
add %rax,$A0[0] # a[1]*a[0]+t[1]
mov $ai,%rax # a[2]
adc %rdx,$A0[1]
- mov $A0[0],-8($tptr,$i) # t[1]
+ mov $A0[0],-24($tptr,$i) # t[1]
xor $A0[0],$A0[0]
- add ($tptr,$i),$A0[1] # a[2]*a[0]+t[2]
+ add -16($tptr,$i),$A0[1] # a[2]*a[0]+t[2]
adc \$0,$A0[0]
mul $a0 # a[2]*a[0]
add %rax,$A0[1]
mov $ai,%rax
adc %rdx,$A0[0]
- mov $A0[1],($tptr,$i) # t[2]
+ mov $A0[1],-16($tptr,$i) # t[2]
- lea ($i),$j # j=-16
+ lea -16($i),$j # j=-16
xor $A1[0],$A1[0]
- jmp .Lsqr_inner
-.align 16
-.Lsqr_inner:
+
mov 8($aptr,$j),$ai # a[3]
xor $A1[1],$A1[1]
add 8($tptr,$j),$A1[0]
adc %rdx,$A0[1]
mov $A0[0],8($tptr,$j) # t[3]
- add \$16,$j
- jz .Lsqr_inner_done
+ lea 16($j),$j
+ jmp .Lsqr4x_inner
+.align 16
+.Lsqr4x_inner:
mov ($aptr,$j),$ai # a[4]
xor $A1[0],$A1[0]
add ($tptr,$j),$A1[1]
mov $ai,%rax # a[3]
adc %rdx,$A0[0]
mov $A0[1],($tptr,$j) # t[4]
- jmp .Lsqr_inner
-.align 16
-.Lsqr_inner_done:
+ mov 8($aptr,$j),$ai # a[5]
+ xor $A1[1],$A1[1]
+ add 8($tptr,$j),$A1[0]
+ adc \$0,$A1[1]
+ mul $a1 # a[4]*a[3]
+ add %rax,$A1[0] # a[4]*a[3]+t[5]
+ mov $ai,%rax
+ adc %rdx,$A1[1]
+
+ xor $A0[1],$A0[1]
+ add $A1[0],$A0[0]
+ lea 16($j),$j # j++
+ adc \$0,$A0[1]
+ mul $a0 # a[5]*a[2]
+ add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5]
+ mov $ai,%rax
+ adc %rdx,$A0[1]
+ mov $A0[0],-8($tptr,$j) # t[5]
+
+ cmp \$0,$j
+ jne .Lsqr4x_inner
+
+ xor $A1[0],$A1[0]
+ add $A0[1],$A1[1]
+ adc \$0,$A1[0]
+ mul $a1 # a[5]*a[3]
+ add %rax,$A1[1]
+ adc %rdx,$A1[0]
+
+ mov $A1[1],($tptr) # t[6]
+ mov $A1[0],8($tptr) # t[7]
+
+ add \$16,$i
+ jnz .Lsqr4x_outer
+
+ # comments apply to $num==4 case
+ mov -32($aptr),$a0 # a[0]
+ lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
+ mov -24($aptr),%rax # a[1]
+ lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
+ mov -16($aptr),$ai # a[2]
+ mov %rax,$a1
+
+ mov -24($tptr),$A0[0] # t[1]
+ xor $A0[1],$A0[1]
+ mul $a0 # a[1]*a[0]
+ add %rax,$A0[0] # a[1]*a[0]+t[1]
+ mov $ai,%rax # a[2]
+ adc %rdx,$A0[1]
+ mov $A0[0],-24($tptr) # t[1]
+
+ xor $A0[0],$A0[0]
+ add -16($tptr),$A0[1] # a[2]*a[0]+t[2]
+ adc \$0,$A0[0]
+ mul $a0 # a[2]*a[0]
+ add %rax,$A0[1]
+ mov $ai,%rax
+ adc %rdx,$A0[0]
+ mov $A0[1],-16($tptr) # t[2]
+
+ xor $A1[0],$A1[0]
+ mov -8($aptr),$ai # a[3]
+ xor $A1[1],$A1[1]
+ add -8($tptr),$A1[0]
+ adc \$0,$A1[1]
+ mul $a1 # a[2]*a[1]
+ add %rax,$A1[0] # a[2]*a[1]+t[3]
+ mov $ai,%rax
+ adc %rdx,$A1[1]
+
+ xor $A0[1],$A0[1]
+ add $A1[0],$A0[0]
+ adc \$0,$A0[1]
+ mul $a0 # a[3]*a[0]
+ add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
+ mov $ai,%rax
+ adc %rdx,$A0[1]
+ mov $A0[0],-8($tptr) # t[3]
+
xor $A1[0],$A1[0]
add $A0[1],$A1[1]
adc \$0,$A1[0]
mov $A1[1],($tptr) # t[4]
mov $A1[0],8($tptr) # t[5]
- add \$16,$i
- jnz .Lsqr_outer
-
mul $ai # a[2]*a[3]
___
{
my ($shift,$carry)=($a0,$a1);
+my @S=(@A1,$ai,$n0);
$code.=<<___;
- add \$8,$i
+ add \$16,$i
xor $shift,$shift
- sub $num,$i # $i=8-$num
+ sub $num,$i # $i=16-$num
xor $carry,$carry
add $A1[0],%rax # t[5]
mov %rdx,16($tptr) # t[6]
mov $carry,24($tptr) # t[7]
- mov -8($aptr,$i),%rax # a[0]
+ mov -16($aptr,$i),%rax # a[0]
lea 64(%rsp,$num,2),$tptr
- mov -16($tptr,$i,2),$A0[0] # t[0]
- mov -8($tptr,$i,2),$A0[1] # t[1]
- jmp .Lsqr_shift_n_add
+ xor $A0[0],$A0[0] # t[0]
+ mov -24($tptr,$i,2),$A0[1] # t[1]
-.align 16
-.Lsqr_shift_n_add:
- lea ($shift,$A0[0],2),$A1[0]# t[2*i]<<1 | shift
+ lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
+ shr \$63,$A0[0]
+ lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
+ shr \$63,$A0[1]
+ or $A0[0],$S[1] # | t[2*i]>>63
+ mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
+ mov $A0[1],$shift # shift=t[2*i+1]>>63
+ mul %rax # a[i]*a[i]
+ neg $carry # mov $carry,cf
+ mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
+ adc %rax,$S[0]
+ mov -8($aptr,$i),%rax # a[i+1] # prefetch
+ mov $S[0],-32($tptr,$i,2)
+ adc %rdx,$S[1]
+
+ lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
+ mov $S[1],-24($tptr,$i,2)
+ sbb $carry,$carry # mov cf,$carry
shr \$63,$A0[0]
- lea (,$A0[1],2),$A1[1] # t[2*i+1]<<1 |
+ lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
shr \$63,$A0[1]
- or $A0[0],$A1[1] # | t[2*i]>>63
+ or $A0[0],$S[3] # | t[2*i]>>63
mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
mov $A0[1],$shift # shift=t[2*i+1]>>63
mul %rax # a[i]*a[i]
+ neg $carry # mov $carry,cf
mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
+ adc %rax,$S[2]
+ mov 0($aptr,$i),%rax # a[i+1] # prefetch
+ mov $S[2],-16($tptr,$i,2)
+ adc %rdx,$S[3]
+ lea 16($i),$i
+ mov $S[3],-40($tptr,$i,2)
+ sbb $carry,$carry # mov cf,$carry
+ jmp .Lsqr4x_shift_n_add
+
+.align 16
+.Lsqr4x_shift_n_add:
+ lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
+ shr \$63,$A0[0]
+ lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
+ shr \$63,$A0[1]
+ or $A0[0],$S[1] # | t[2*i]>>63
+ mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
+ mov $A0[1],$shift # shift=t[2*i+1]>>63
+ mul %rax # a[i]*a[i]
+ neg $carry # mov $carry,cf
+ mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
+ adc %rax,$S[0]
+ mov -8($aptr,$i),%rax # a[i+1] # prefetch
+ mov $S[0],-32($tptr,$i,2)
+ adc %rdx,$S[1]
+
+ lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
+ mov $S[1],-24($tptr,$i,2)
+ sbb $carry,$carry # mov cf,$carry
+ shr \$63,$A0[0]
+ lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
+ shr \$63,$A0[1]
+ or $A0[0],$S[3] # | t[2*i]>>63
+ mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
+ mov $A0[1],$shift # shift=t[2*i+1]>>63
+ mul %rax # a[i]*a[i]
neg $carry # mov $carry,cf
- adc %rax,$A1[0]
+ mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
+ adc %rax,$S[2]
mov 0($aptr,$i),%rax # a[i+1] # prefetch
- adc %rdx,$A1[1]
- mov $A1[0],-16($tptr,$i,2)
+ mov $S[2],-16($tptr,$i,2)
+ adc %rdx,$S[3]
+
+ lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
+ mov $S[3],-8($tptr,$i,2)
+ sbb $carry,$carry # mov cf,$carry
+ shr \$63,$A0[0]
+ lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
+ shr \$63,$A0[1]
+ or $A0[0],$S[1] # | t[2*i]>>63
+ mov 16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
+ mov $A0[1],$shift # shift=t[2*i+1]>>63
+ mul %rax # a[i]*a[i]
+ neg $carry # mov $carry,cf
+ mov 24($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
+ adc %rax,$S[0]
+ mov 8($aptr,$i),%rax # a[i+1] # prefetch
+ mov $S[0],0($tptr,$i,2)
+ adc %rdx,$S[1]
+
+ lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
+ mov $S[1],8($tptr,$i,2)
+ sbb $carry,$carry # mov cf,$carry
+ shr \$63,$A0[0]
+ lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
+ shr \$63,$A0[1]
+ or $A0[0],$S[3] # | t[2*i]>>63
+ mov 32($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
+ mov $A0[1],$shift # shift=t[2*i+1]>>63
+ mul %rax # a[i]*a[i]
+ neg $carry # mov $carry,cf
+ mov 40($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
+ adc %rax,$S[2]
+ mov 16($aptr,$i),%rax # a[i+1] # prefetch
+ mov $S[2],16($tptr,$i,2)
+ adc %rdx,$S[3]
+ mov $S[3],24($tptr,$i,2)
sbb $carry,$carry # mov cf,$carry
- mov $A1[1],-8($tptr,$i,2)
- add \$8,$i
- jnz .Lsqr_shift_n_add
+ add \$32,$i
+ jnz .Lsqr4x_shift_n_add
- lea ($shift,$A0[0],2),$A1[0]# t[2*i]<<1|shift
+ lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
shr \$63,$A0[0]
- lea (,$A0[1],2),$A1[1] # t[2*i+1]<<1 |
+ lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
shr \$63,$A0[1]
- or $A0[0],$A1[1] # | t[2*i]>>63
+ or $A0[0],$S[1] # | t[2*i]>>63
+ mov -16($tptr),$A0[0] # t[2*i+2] # prefetch
+ mov $A0[1],$shift # shift=t[2*i+1]>>63
mul %rax # a[i]*a[i]
neg $carry # mov $carry,cf
- adc %rax,$A1[0]
- adc %rdx,$A1[1]
- mov $A1[0],-16($tptr)
- mov $A1[1],-8($tptr)
+ mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch
+ adc %rax,$S[0]
+ mov -8($aptr),%rax # a[i+1] # prefetch
+ mov $S[0],-32($tptr)
+ adc %rdx,$S[1]
+
+ lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1|shift
+ mov $S[1],-24($tptr)
+ sbb $carry,$carry # mov cf,$carry
+ shr \$63,$A0[0]
+ lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
+ shr \$63,$A0[1]
+ or $A0[0],$S[3] # | t[2*i]>>63
+ mul %rax # a[i]*a[i]
+ neg $carry # mov $carry,cf
+ adc %rax,$S[2]
+ adc %rdx,$S[3]
+ mov $S[2],-16($tptr)
+ mov $S[3],-8($tptr)
___
}\f
##############################################################
my @Ni=("%rbx","%r9");
$code.=<<___;
mov 40(%rsp),$nptr # restore $nptr
+ mov 48(%rsp),$n0 # restore *n0
xor $j,$j
mov $num,0(%rsp) # save $num
sub $num,$j # $j=-$num
mov 8($nptr,$j),$Ni[1] # n[1] # modsched #
imulq $A0[0],$m0 # m0=t[0]*n0 # modsched #
mov %rax,$Ni[0] # # modsched #
- jmp .Lmont_outer
+ jmp .Lsqr4x_mont_outer
.align 16
-.Lmont_outer:
+.Lsqr4x_mont_outer:
xor $A0[1],$A0[1]
mul $m0 # n[0]*m0
add %rax,$A0[0] # n[0]*m0+t[0]
adc %rdx,$A0[0]
imulq $A0[1],$m1
- lea 16($j),$j
- jmp .Lmont_inner
-.align 16
-.Lmont_inner:
- mov ($nptr,$j),$Ni[0] # n[2]
+ mov 16($nptr,$j),$Ni[0] # n[2]
xor $A1[1],$A1[1]
add $A0[1],$A1[0]
adc \$0,$A1[1]
add %rax,$A1[0] # n[0]*m1+"t[1]"
mov $Ni[0],%rax
adc %rdx,$A1[1]
- mov $A1[0],-8($tptr,$j) # "t[1]"
+ mov $A1[0],8($tptr,$j) # "t[1]"
xor $A0[1],$A0[1]
- add ($tptr,$j),$A0[0]
+ add 16($tptr,$j),$A0[0]
adc \$0,$A0[1]
mul $m0 # n[2]*m0
add %rax,$A0[0] # n[2]*m0+t[2]
mov $Ni[1],%rax
adc %rdx,$A0[1]
- mov 8($nptr,$j),$Ni[1] # n[3]
+ mov 24($nptr,$j),$Ni[1] # n[3]
xor $A1[0],$A1[0]
add $A0[0],$A1[1]
adc \$0,$A1[0]
add %rax,$A1[1] # n[1]*m1+"t[2]"
mov $Ni[1],%rax
adc %rdx,$A1[0]
- mov $A1[1],($tptr,$j) # "t[2]"
+ mov $A1[1],16($tptr,$j) # "t[2]"
xor $A0[0],$A0[0]
- add 8($tptr,$j),$A0[1]
- lea 16($j),$j
+ add 24($tptr,$j),$A0[1]
+ lea 32($j),$j
adc \$0,$A0[0]
mul $m0 # n[3]*m0
add %rax,$A0[1] # n[3]*m0+t[3]
mov $Ni[0],%rax
adc %rdx,$A0[0]
+ jmp .Lsqr4x_mont_inner
+
+.align 16
+.Lsqr4x_mont_inner:
+ mov ($nptr,$j),$Ni[0] # n[4]
+ xor $A1[1],$A1[1]
+ add $A0[1],$A1[0]
+ adc \$0,$A1[1]
+ mul $m1 # n[2]*m1
+ add %rax,$A1[0] # n[2]*m1+"t[3]"
+ mov $Ni[0],%rax
+ adc %rdx,$A1[1]
+ mov $A1[0],-8($tptr,$j) # "t[3]"
+
+ xor $A0[1],$A0[1]
+ add ($tptr,$j),$A0[0]
+ adc \$0,$A0[1]
+ mul $m0 # n[4]*m0
+ add %rax,$A0[0] # n[4]*m0+t[4]
+ mov $Ni[1],%rax
+ adc %rdx,$A0[1]
+
+ mov 8($nptr,$j),$Ni[1] # n[5]
+ xor $A1[0],$A1[0]
+ add $A0[0],$A1[1]
+ adc \$0,$A1[0]
+ mul $m1 # n[3]*m1
+ add %rax,$A1[1] # n[3]*m1+"t[4]"
+ mov $Ni[1],%rax
+ adc %rdx,$A1[0]
+ mov $A1[1],($tptr,$j) # "t[4]"
+
+ xor $A0[0],$A0[0]
+ add 8($tptr,$j),$A0[1]
+ adc \$0,$A0[0]
+ mul $m0 # n[5]*m0
+ add %rax,$A0[1] # n[5]*m0+t[5]
+ mov $Ni[0],%rax
+ adc %rdx,$A0[0]
+
+
+ mov 16($nptr,$j),$Ni[0] # n[6]
+ xor $A1[1],$A1[1]
+ add $A0[1],$A1[0]
+ adc \$0,$A1[1]
+ mul $m1 # n[4]*m1
+ add %rax,$A1[0] # n[4]*m1+"t[5]"
+ mov $Ni[0],%rax
+ adc %rdx,$A1[1]
+ mov $A1[0],8($tptr,$j) # "t[5]"
+
+ xor $A0[1],$A0[1]
+ add 16($tptr,$j),$A0[0]
+ adc \$0,$A0[1]
+ mul $m0 # n[6]*m0
+ add %rax,$A0[0] # n[6]*m0+t[6]
+ mov $Ni[1],%rax
+ adc %rdx,$A0[1]
+
+ mov 24($nptr,$j),$Ni[1] # n[7]
+ xor $A1[0],$A1[0]
+ add $A0[0],$A1[1]
+ adc \$0,$A1[0]
+ mul $m1 # n[5]*m1
+ add %rax,$A1[1] # n[5]*m1+"t[6]"
+ mov $Ni[1],%rax
+ adc %rdx,$A1[0]
+ mov $A1[1],16($tptr,$j) # "t[6]"
+
+ xor $A0[0],$A0[0]
+ add 24($tptr,$j),$A0[1]
+ lea 32($j),$j
+ adc \$0,$A0[0]
+ mul $m0 # n[7]*m0
+ add %rax,$A0[1] # n[7]*m0+t[7]
+ mov $Ni[0],%rax
+ adc %rdx,$A0[0]
cmp \$0,$j
- jne .Lmont_inner
+ jne .Lsqr4x_mont_inner
sub 0(%rsp),$j # $j=-$num # modsched #
mov $n0,$m0 # # modsched #
xor $A1[1],$A1[1]
add $A0[1],$A1[0]
adc \$0,$A1[1]
- mul $m1 # n[2]*m1
- add %rax,$A1[0] # n[2]*m1+"t[3]"
+ mul $m1 # n[6]*m1
+ add %rax,$A1[0] # n[6]*m1+"t[7]"
mov $Ni[1],%rax
adc %rdx,$A1[1]
- mov $A1[0],-8($tptr) # "t[3]"
+ mov $A1[0],-8($tptr) # "t[7]"
xor $A0[1],$A0[1]
- add ($tptr),$A0[0] # +t[4]
+ add ($tptr),$A0[0] # +t[8]
adc \$0,$A0[1]
mov 0($nptr,$j),$Ni[0] # n[0] # modsched #
add $topbit,$A0[0]
add $A0[0],$A1[1]
mov 16($tptr,$j),$A0[0] # t[0] # modsched #
adc \$0,$A1[0]
- mul $m1 # n[3]*m1
- add %rax,$A1[1] # n[3]*m1+"t[4]"
+ mul $m1 # n[7]*m1
+ add %rax,$A1[1] # n[7]*m1+"t[8]"
mov $Ni[0],%rax # # modsched #
adc %rdx,$A1[0]
- mov $A1[1],($tptr) # "t[4]"
+ mov $A1[1],($tptr) # "t[8]"
xor $topbit,$topbit
- add 8($tptr),$A1[0] # +t[5]
+ add 8($tptr),$A1[0] # +t[9]
adc $topbit,$topbit
add $A0[1],$A1[0]
lea 16($tptr),$tptr # "t[$num]>>128"
adc \$0,$topbit
- mov $A1[0],-8($tptr) # "t[5]"
+ mov $A1[0],-8($tptr) # "t[9]"
cmp 8(%rsp),$tptr # are we done?
- jb .Lmont_outer
+ jb .Lsqr4x_mont_outer
mov 0(%rsp),$num # restore $num
mov $topbit,($tptr) # save $topbit
___
}\f
##############################################################
-# Post-condition, 2x unrolled copy from bn_mul_mont
+# Post-condition, 4x unrolled copy from bn_mul_mont
#
{
my ($tptr,$nptr)=("%rbx",$aptr);
+my @ri=("%rax","%rdx","%r10","%r11");
$code.=<<___;
+ mov 64(%rsp,$num),@ri[0] # tp[0]
lea 64(%rsp,$num),$tptr # upper half of t[2*$num] holds result
- shr \$4,$num # num/2
- mov 32(%rsp),$rptr # restore $rptr
mov 40(%rsp),$nptr # restore $nptr
- lea -1($num),$j # j=num/2-1
-
- mov ($tptr),%rax # tp[0]
+ shr \$5,$num # num/4
+ mov 8($tptr),@ri[1] # t[1]
xor $i,$i # i=0 and clear CF!
- jmp .Lsqr_sub
+
+ mov 32(%rsp),$rptr # restore $rptr
+ sub 0($nptr),@ri[0]
+ mov 16($tptr),@ri[2] # t[2]
+ mov 24($tptr),@ri[3] # t[3]
+ sbb 8($nptr),@ri[1]
+ lea -1($num),$j # j=num/4-1
+ jmp .Lsqr4x_sub
.align 16
-.Lsqr_sub:
- mov 8($tptr,$i,8),%rdx
- sbb 0($nptr,$i,8),%rax
- sbb 8($nptr,$i,8),%rdx
- mov %rax,0($rptr,$i,8) # rp[i]=tp[i]-np[i]
- mov %rdx,8($rptr,$i,8) # rp[i]=tp[i]-np[i]
- mov 16($tptr,$i,8),%rax # tp[i+1]
- lea 2($i),$i # i++
+.Lsqr4x_sub:
+ mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i]
+ mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i]
+ sbb 16($nptr,$i,8),@ri[2]
+ mov 32($tptr,$i,8),@ri[0] # tp[i+1]
+ mov 40($tptr,$i,8),@ri[1]
+ sbb 24($nptr,$i,8),@ri[3]
+ mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i]
+ mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i]
+ sbb 32($nptr,$i,8),@ri[0]
+ mov 48($tptr,$i,8),@ri[2]
+ mov 56($tptr,$i,8),@ri[3]
+ sbb 40($nptr,$i,8),@ri[1]
+ lea 4($i),$i # i++
dec $j # doesn't affect CF!
- jge .Lsqr_sub
+ jnz .Lsqr4x_sub
- sbb \$0,%rax # handle upmost overflow bit
+ mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i]
+ mov 32($tptr,$i,8),@ri[0] # load overflow bit
+ sbb 16($nptr,$i,8),@ri[2]
+ mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i]
+ sbb 24($nptr,$i,8),@ri[3]
+ mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i]
+
+ sbb \$0,@ri[0] # handle upmost overflow bit
+ mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i]
xor $i,$i # i=0
- and %rax,$tptr
- not %rax
+ and @ri[0],$tptr
+ not @ri[0]
mov $rptr,$nptr
- and %rax,$nptr
+ and @ri[0],$nptr
lea -1($num),$j
or $nptr,$tptr # tp=borrow?tp:rp
+ pxor %xmm0,%xmm0
lea 64(%rsp,$num,8),$nptr
+ movdqu ($tptr),%xmm1
lea ($nptr,$num,8),$nptr
- jmp .Lsqr_copy
+ movdqa %xmm0,64(%rsp) # zap lower half of temporary vector
+ movdqa %xmm0,($nptr) # zap upper half of temporary vector
+ movdqu %xmm1,($rptr)
+ jmp .Lsqr4x_copy
.align 16
-.Lsqr_copy: # copy or in-place refresh
- movdqu ($tptr,$i),%xmm1
- movdqa %xmm0,64(%rsp,$i) # zap lower half of temporary vector
- movdqa %xmm0,($nptr,$i) # zap upper half of temporary vector
- movdqu %xmm1,($rptr,$i)
- lea 16($i),$i
+.Lsqr4x_copy: # copy or in-place refresh
+ movdqu 16($tptr,$i),%xmm2
+ movdqu 32($tptr,$i),%xmm1
+ movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector
+ movdqa %xmm0,96(%rsp,$i) # zap lower half of temporary vector
+ movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector
+ movdqa %xmm0,32($nptr,$i) # zap upper half of temporary vector
+ movdqu %xmm2,16($rptr,$i)
+ movdqu %xmm1,32($rptr,$i)
+ lea 32($i),$i
dec $j
- jge .Lsqr_copy
+ jnz .Lsqr4x_copy
+
+ movdqu 16($tptr,$i),%xmm2
+ movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector
+ movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector
+ movdqu %xmm2,16($rptr,$i)
___
}
$code.=<<___;
mov 32(%rsi),%rbp
mov 40(%rsi),%rbx
lea 48(%rsi),%rsp
-.Lsqr_epilogue:
+.Lsqr4x_epilogue:
ret
-.size bn_sqr_mont,.-bn_sqr_mont
+.size bn_sqr4x_mont,.-bn_sqr4x_mont
___
}}}
$code.=<<___;
mov 120($context),%rax # pull context->Rax
mov 248($context),%rbx # pull context->Rip
- lea .Lprologue(%rip),%r10
- cmp %r10,%rbx # context->Rip<.Lprologue
+ mov 8($disp),%rsi # disp->ImageBase
+ mov 56($disp),%r11 # disp->HandlerData
+
+ mov 0(%r11),%r10d # HandlerData[0]
+ lea (%rsi,%r10),%r10 # end of prologue label
+ cmp %r10,%rbx # context->Rip<end of prologue label
jb .Lcommon_seh_tail
mov 152($context),%rax # pull context->Rsp
- lea .Lepilogue(%rip),%r10
- cmp %r10,%rbx # context->Rip>=.Lepilogue
+ mov 4(%r11),%r10d # HandlerData[1]
+ lea (%rsi,%r10),%r10 # epilogue label
+ cmp %r10,%rbx # context->Rip>=epilogue label
jae .Lcommon_seh_tail
mov 192($context),%r10 # pull $num
mov 120($context),%rax # pull context->Rax
mov 248($context),%rbx # pull context->Rip
- lea .Lsqr_body(%rip),%r10
+ lea .Lsqr4x_body(%rip),%r10
cmp %r10,%rbx # context->Rip<.Lsqr_body
jb .Lcommon_seh_tail
mov 152($context),%rax # pull context->Rsp
- lea .Lsqr_epilogue(%rip),%r10
+ lea .Lsqr4x_epilogue(%rip),%r10
cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue
jae .Lcommon_seh_tail
.rva .LSEH_end_bn_mul_mont
.rva .LSEH_info_bn_mul_mont
- .rva .LSEH_begin_bn_sqr_mont
- .rva .LSEH_end_bn_sqr_mont
- .rva .LSEH_info_bn_sqr_mont
+ .rva .LSEH_begin_bn_mul4x_mont
+ .rva .LSEH_end_bn_mul4x_mont
+ .rva .LSEH_info_bn_mul4x_mont
+
+ .rva .LSEH_begin_bn_sqr4x_mont
+ .rva .LSEH_end_bn_sqr4x_mont
+ .rva .LSEH_info_bn_sqr4x_mont
.section .xdata
.align 8
.LSEH_info_bn_mul_mont:
.byte 9,0,0,0
.rva mul_handler
-.LSEH_info_bn_sqr_mont:
+ .rva .Lmul_body,.Lmul_epilogue # HandlerData[]
+.LSEH_info_bn_mul4x_mont:
+ .byte 9,0,0,0
+ .rva mul_handler
+ .rva .Lmul4x_body,.Lmul4x_epilogue # HandlerData[]
+.LSEH_info_bn_sqr4x_mont:
.byte 9,0,0,0
.rva sqr_handler
___
projects / oweals / openssl.git / commitdiff