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#! /usr/bin/env perl
# Copyright 2018-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the Apache License 2.0 (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
# in the file LICENSE in the source distribution or at
# https://www.openssl.org/source/license.html
#
# ====================================================================
# 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/.
# ====================================================================
#
# X25519 lower-level primitives for PPC64.
#
# July 2018.
#
# Base 2^64 is faster than base 2^51 on pre-POWER8, most notably ~15%
# faster on PPC970/G5. POWER8 on the other hand seems to trip on own
# shoelaces when handling longer carry chains. As base 2^51 has just
# single-carry pairs, it's 25% faster than base 2^64. Since PPC970 is
# pretty old, base 2^64 implementation is not engaged. Comparison to
# compiler-generated code is complicated by the fact that not all
# compilers support 128-bit integers. When compiler doesn't, like xlc,
# this module delivers more than 2x improvement, and when it does,
# from 12% to 30% improvement was measured...
# $output is the last argument if it looks like a file (it has an extension)
# $flavour is the first argument if it doesn't look like a file
$output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef;
$flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef;
$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
die "can't locate ppc-xlate.pl";
open OUT,"| \"$^X\" $xlate $flavour \"$output\""
or die "can't call $xlate: $!";
*STDOUT=*OUT;
my $sp = "r1";
my ($rp,$ap,$bp) = map("r$_",3..5);
####################################################### base 2^64
if (0) {
my ($bi,$a0,$a1,$a2,$a3,$t0,$t1, $t2,$t3,
$acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7) =
map("r$_",(6..12,22..31));
my $zero = "r0";
my $FRAME = 16*8;
$code.=<<___;
.text
.globl x25519_fe64_mul
.type x25519_fe64_mul,\@function
.align 5
x25519_fe64_mul:
stdu $sp,-$FRAME($sp)
std r22,`$FRAME-8*10`($sp)
std r23,`$FRAME-8*9`($sp)
std r24,`$FRAME-8*8`($sp)
std r25,`$FRAME-8*7`($sp)
std r26,`$FRAME-8*6`($sp)
std r27,`$FRAME-8*5`($sp)
std r28,`$FRAME-8*4`($sp)
std r29,`$FRAME-8*3`($sp)
std r30,`$FRAME-8*2`($sp)
std r31,`$FRAME-8*1`($sp)
ld $bi,0($bp)
ld $a0,0($ap)
xor $zero,$zero,$zero
ld $a1,8($ap)
ld $a2,16($ap)
ld $a3,24($ap)
mulld $acc0,$a0,$bi # a[0]*b[0]
mulhdu $t0,$a0,$bi
mulld $acc1,$a1,$bi # a[1]*b[0]
mulhdu $t1,$a1,$bi
mulld $acc2,$a2,$bi # a[2]*b[0]
mulhdu $t2,$a2,$bi
mulld $acc3,$a3,$bi # a[3]*b[0]
mulhdu $t3,$a3,$bi
___
for(my @acc=($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7),
my $i=1; $i<4; shift(@acc), $i++) {
my $acc4 = $i==1? $zero : @acc[4];
$code.=<<___;
ld $bi,`8*$i`($bp)
addc @acc[1],@acc[1],$t0 # accumulate high parts
mulld $t0,$a0,$bi
adde @acc[2],@acc[2],$t1
mulld $t1,$a1,$bi
adde @acc[3],@acc[3],$t2
mulld $t2,$a2,$bi
adde @acc[4],$acc4,$t3
mulld $t3,$a3,$bi
addc @acc[1],@acc[1],$t0 # accumulate low parts
mulhdu $t0,$a0,$bi
adde @acc[2],@acc[2],$t1
mulhdu $t1,$a1,$bi
adde @acc[3],@acc[3],$t2
mulhdu $t2,$a2,$bi
adde @acc[4],@acc[4],$t3
mulhdu $t3,$a3,$bi
adde @acc[5],$zero,$zero
___
}
$code.=<<___;
li $bi,38
addc $acc4,$acc4,$t0
mulld $t0,$acc4,$bi
adde $acc5,$acc5,$t1
mulld $t1,$acc5,$bi
adde $acc6,$acc6,$t2
mulld $t2,$acc6,$bi
adde $acc7,$acc7,$t3
mulld $t3,$acc7,$bi
addc $acc0,$acc0,$t0
mulhdu $t0,$acc4,$bi
adde $acc1,$acc1,$t1
mulhdu $t1,$acc5,$bi
adde $acc2,$acc2,$t2
mulhdu $t2,$acc6,$bi
adde $acc3,$acc3,$t3
mulhdu $t3,$acc7,$bi
adde $acc4,$zero,$zero
addc $acc1,$acc1,$t0
adde $acc2,$acc2,$t1
adde $acc3,$acc3,$t2
adde $acc4,$acc4,$t3
mulld $acc4,$acc4,$bi
addc $acc0,$acc0,$acc4
addze $acc1,$acc1
addze $acc2,$acc2
addze $acc3,$acc3
subfe $acc4,$acc4,$acc4 # carry -> ~mask
std $acc1,8($rp)
andc $acc4,$bi,$acc4
std $acc2,16($rp)
add $acc0,$acc0,$acc4
std $acc3,24($rp)
std $acc0,0($rp)
ld r22,`$FRAME-8*10`($sp)
ld r23,`$FRAME-8*9`($sp)
ld r24,`$FRAME-8*8`($sp)
ld r25,`$FRAME-8*7`($sp)
ld r26,`$FRAME-8*6`($sp)
ld r27,`$FRAME-8*5`($sp)
ld r28,`$FRAME-8*4`($sp)
ld r29,`$FRAME-8*3`($sp)
ld r30,`$FRAME-8*2`($sp)
ld r31,`$FRAME-8*1`($sp)
addi $sp,$sp,$FRAME
blr
.long 0
.byte 0,12,4,0,0x80,10,3,0
.long 0
.size x25519_fe64_mul,.-x25519_fe64_mul
.globl x25519_fe64_sqr
.type x25519_fe64_sqr,\@function
.align 5
x25519_fe64_sqr:
stdu $sp,-$FRAME($sp)
std r22,`$FRAME-8*10`($sp)
std r23,`$FRAME-8*9`($sp)
std r24,`$FRAME-8*8`($sp)
std r25,`$FRAME-8*7`($sp)
std r26,`$FRAME-8*6`($sp)
std r27,`$FRAME-8*5`($sp)
std r28,`$FRAME-8*4`($sp)
std r29,`$FRAME-8*3`($sp)
std r30,`$FRAME-8*2`($sp)
std r31,`$FRAME-8*1`($sp)
ld $a0,0($ap)
xor $zero,$zero,$zero
ld $a1,8($ap)
ld $a2,16($ap)
ld $a3,24($ap)
################################
# | | | | | |a1*a0| |
# | | | | |a2*a0| | |
# | |a3*a2|a3*a0| | | |
# | | | |a2*a1| | | |
# | | |a3*a1| | | | |
# *| | | | | | | | 2|
# +|a3*a3|a2*a2|a1*a1|a0*a0|
# |--+--+--+--+--+--+--+--|
# |A7|A6|A5|A4|A3|A2|A1|A0|, where Ax is $accx, i.e. follow $accx
#
# "can't overflow" below mark carrying into high part of
# multiplication result, which can't overflow, because it
# can never be all ones.
mulld $acc1,$a1,$a0 # a[1]*a[0]
mulhdu $t1,$a1,$a0
mulld $acc2,$a2,$a0 # a[2]*a[0]
mulhdu $t2,$a2,$a0
mulld $acc3,$a3,$a0 # a[3]*a[0]
mulhdu $acc4,$a3,$a0
addc $acc2,$acc2,$t1 # accumulate high parts of multiplication
mulld $t0,$a2,$a1 # a[2]*a[1]
mulhdu $t1,$a2,$a1
adde $acc3,$acc3,$t2
mulld $t2,$a3,$a1 # a[3]*a[1]
mulhdu $t3,$a3,$a1
addze $acc4,$acc4 # can't overflow
mulld $acc5,$a3,$a2 # a[3]*a[2]
mulhdu $acc6,$a3,$a2
addc $t1,$t1,$t2 # accumulate high parts of multiplication
mulld $acc0,$a0,$a0 # a[0]*a[0]
addze $t2,$t3 # can't overflow
addc $acc3,$acc3,$t0 # accumulate low parts of multiplication
mulhdu $a0,$a0,$a0
adde $acc4,$acc4,$t1
mulld $t1,$a1,$a1 # a[1]*a[1]
adde $acc5,$acc5,$t2
mulhdu $a1,$a1,$a1
addze $acc6,$acc6 # can't overflow
addc $acc1,$acc1,$acc1 # acc[1-6]*=2
mulld $t2,$a2,$a2 # a[2]*a[2]
adde $acc2,$acc2,$acc2
mulhdu $a2,$a2,$a2
adde $acc3,$acc3,$acc3
mulld $t3,$a3,$a3 # a[3]*a[3]
adde $acc4,$acc4,$acc4
mulhdu $a3,$a3,$a3
adde $acc5,$acc5,$acc5
adde $acc6,$acc6,$acc6
addze $acc7,$zero
addc $acc1,$acc1,$a0 # +a[i]*a[i]
li $bi,38
adde $acc2,$acc2,$t1
adde $acc3,$acc3,$a1
adde $acc4,$acc4,$t2
adde $acc5,$acc5,$a2
adde $acc6,$acc6,$t3
adde $acc7,$acc7,$a3
mulld $t0,$acc4,$bi
mulld $t1,$acc5,$bi
mulld $t2,$acc6,$bi
mulld $t3,$acc7,$bi
addc $acc0,$acc0,$t0
mulhdu $t0,$acc4,$bi
adde $acc1,$acc1,$t1
mulhdu $t1,$acc5,$bi
adde $acc2,$acc2,$t2
mulhdu $t2,$acc6,$bi
adde $acc3,$acc3,$t3
mulhdu $t3,$acc7,$bi
addze $acc4,$zero
addc $acc1,$acc1,$t0
adde $acc2,$acc2,$t1
adde $acc3,$acc3,$t2
adde $acc4,$acc4,$t3
mulld $acc4,$acc4,$bi
addc $acc0,$acc0,$acc4
addze $acc1,$acc1
addze $acc2,$acc2
addze $acc3,$acc3
subfe $acc4,$acc4,$acc4 # carry -> ~mask
std $acc1,8($rp)
andc $acc4,$bi,$acc4
std $acc2,16($rp)
add $acc0,$acc0,$acc4
std $acc3,24($rp)
std $acc0,0($rp)
ld r22,`$FRAME-8*10`($sp)
ld r23,`$FRAME-8*9`($sp)
ld r24,`$FRAME-8*8`($sp)
ld r25,`$FRAME-8*7`($sp)
ld r26,`$FRAME-8*6`($sp)
ld r27,`$FRAME-8*5`($sp)
ld r28,`$FRAME-8*4`($sp)
ld r29,`$FRAME-8*3`($sp)
ld r30,`$FRAME-8*2`($sp)
ld r31,`$FRAME-8*1`($sp)
addi $sp,$sp,$FRAME
blr
.long 0
.byte 0,12,4,0,0x80,10,2,0
.long 0
.size x25519_fe64_sqr,.-x25519_fe64_sqr
.globl x25519_fe64_mul121666
.type x25519_fe64_mul121666,\@function
.align 5
x25519_fe64_mul121666:
lis $bi,`65536>>16`
ori $bi,$bi,`121666-65536`
ld $t0,0($ap)
ld $t1,8($ap)
ld $bp,16($ap)
ld $ap,24($ap)
mulld $a0,$t0,$bi
mulhdu $t0,$t0,$bi
mulld $a1,$t1,$bi
mulhdu $t1,$t1,$bi
mulld $a2,$bp,$bi
mulhdu $bp,$bp,$bi
mulld $a3,$ap,$bi
mulhdu $ap,$ap,$bi
addc $a1,$a1,$t0
adde $a2,$a2,$t1
adde $a3,$a3,$bp
addze $ap, $ap
mulli $ap,$ap,38
addc $a0,$a0,$ap
addze $a1,$a1
addze $a2,$a2
addze $a3,$a3
subfe $t1,$t1,$t1 # carry -> ~mask
std $a1,8($rp)
andc $t0,$t0,$t1
std $a2,16($rp)
add $a0,$a0,$t0
std $a3,24($rp)
std $a0,0($rp)
blr
.long 0
.byte 0,12,0x14,0,0,0,2,0
.long 0
.size x25519_fe64_mul121666,.-x25519_fe64_mul121666
.globl x25519_fe64_add
.type x25519_fe64_add,\@function
.align 5
x25519_fe64_add:
ld $a0,0($ap)
ld $t0,0($bp)
ld $a1,8($ap)
ld $t1,8($bp)
ld $a2,16($ap)
ld $bi,16($bp)
ld $a3,24($ap)
ld $bp,24($bp)
addc $a0,$a0,$t0
adde $a1,$a1,$t1
adde $a2,$a2,$bi
adde $a3,$a3,$bp
li $t0,38
subfe $t1,$t1,$t1 # carry -> ~mask
andc $t1,$t0,$t1
addc $a0,$a0,$t1
addze $a1,$a1
addze $a2,$a2
addze $a3,$a3
subfe $t1,$t1,$t1 # carry -> ~mask
std $a1,8($rp)
andc $t0,$t0,$t1
std $a2,16($rp)
add $a0,$a0,$t0
std $a3,24($rp)
std $a0,0($rp)
blr
.long 0
.byte 0,12,0x14,0,0,0,3,0
.long 0
.size x25519_fe64_add,.-x25519_fe64_add
.globl x25519_fe64_sub
.type x25519_fe64_sub,\@function
.align 5
x25519_fe64_sub:
ld $a0,0($ap)
ld $t0,0($bp)
ld $a1,8($ap)
ld $t1,8($bp)
ld $a2,16($ap)
ld $bi,16($bp)
ld $a3,24($ap)
ld $bp,24($bp)
subfc $a0,$t0,$a0
subfe $a1,$t1,$a1
subfe $a2,$bi,$a2
subfe $a3,$bp,$a3
li $t0,38
subfe $t1,$t1,$t1 # borrow -> mask
xor $zero,$zero,$zero
and $t1,$t0,$t1
subfc $a0,$t1,$a0
subfe $a1,$zero,$a1
subfe $a2,$zero,$a2
subfe $a3,$zero,$a3
subfe $t1,$t1,$t1 # borrow -> mask
std $a1,8($rp)
and $t0,$t0,$t1
std $a2,16($rp)
subf $a0,$t0,$a0
std $a3,24($rp)
std $a0,0($rp)
blr
.long 0
.byte 0,12,0x14,0,0,0,3,0
.long 0
.size x25519_fe64_sub,.-x25519_fe64_sub
.globl x25519_fe64_tobytes
.type x25519_fe64_tobytes,\@function
.align 5
x25519_fe64_tobytes:
ld $a3,24($ap)
ld $a0,0($ap)
ld $a1,8($ap)
ld $a2,16($ap)
sradi $t0,$a3,63 # most significant bit -> mask
li $t1,19
and $t0,$t0,$t1
sldi $a3,$a3,1
add $t0,$t0,$t1 # compare to modulus in the same go
srdi $a3,$a3,1 # most significant bit cleared
addc $a0,$a0,$t0
addze $a1,$a1
addze $a2,$a2
addze $a3,$a3
xor $zero,$zero,$zero
sradi $t0,$a3,63 # most significant bit -> mask
sldi $a3,$a3,1
andc $t0,$t1,$t0
srdi $a3,$a3,1 # most significant bit cleared
subi $rp,$rp,1
subfc $a0,$t0,$a0
subfe $a1,$zero,$a1
subfe $a2,$zero,$a2
subfe $a3,$zero,$a3
___
for (my @a=($a0,$a1,$a2,$a3), my $i=0; $i<4; shift(@a), $i++) {
$code.=<<___;
srdi $t0,@a[0],8
stbu @a[0],1($rp)
srdi @a[0],@a[0],16
stbu $t0,1($rp)
srdi $t0,@a[0],8
stbu @a[0],1($rp)
srdi @a[0],@a[0],16
stbu $t0,1($rp)
srdi $t0,@a[0],8
stbu @a[0],1($rp)
srdi @a[0],@a[0],16
stbu $t0,1($rp)
srdi $t0,@a[0],8
stbu @a[0],1($rp)
stbu $t0,1($rp)
___
}
$code.=<<___;
blr
.long 0
.byte 0,12,0x14,0,0,0,2,0
.long 0
.size x25519_fe64_tobytes,.-x25519_fe64_tobytes
___
}
####################################################### base 2^51
{
my ($bi,$a0,$a1,$a2,$a3,$a4,$t0, $t1,
$h0lo,$h0hi,$h1lo,$h1hi,$h2lo,$h2hi,$h3lo,$h3hi,$h4lo,$h4hi) =
map("r$_",(6..12,21..31));
my $mask = "r0";
my $FRAME = 18*8;
$code.=<<___;
.text
.globl x25519_fe51_mul
.type x25519_fe51_mul,\@function
.align 5
x25519_fe51_mul:
stdu $sp,-$FRAME($sp)
std r21,`$FRAME-8*11`($sp)
std r22,`$FRAME-8*10`($sp)
std r23,`$FRAME-8*9`($sp)
std r24,`$FRAME-8*8`($sp)
std r25,`$FRAME-8*7`($sp)
std r26,`$FRAME-8*6`($sp)
std r27,`$FRAME-8*5`($sp)
std r28,`$FRAME-8*4`($sp)
std r29,`$FRAME-8*3`($sp)
std r30,`$FRAME-8*2`($sp)
std r31,`$FRAME-8*1`($sp)
ld $bi,0($bp)
ld $a0,0($ap)
ld $a1,8($ap)
ld $a2,16($ap)
ld $a3,24($ap)
ld $a4,32($ap)
mulld $h0lo,$a0,$bi # a[0]*b[0]
mulhdu $h0hi,$a0,$bi
mulld $h1lo,$a1,$bi # a[1]*b[0]
mulhdu $h1hi,$a1,$bi
mulld $h4lo,$a4,$bi # a[4]*b[0]
mulhdu $h4hi,$a4,$bi
ld $ap,8($bp)
mulli $a4,$a4,19
mulld $h2lo,$a2,$bi # a[2]*b[0]
mulhdu $h2hi,$a2,$bi
mulld $h3lo,$a3,$bi # a[3]*b[0]
mulhdu $h3hi,$a3,$bi
___
for(my @a=($a0,$a1,$a2,$a3,$a4),
my $i=1; $i<4; $i++) {
($ap,$bi) = ($bi,$ap);
$code.=<<___;
mulld $t0,@a[4],$bi
mulhdu $t1,@a[4],$bi
addc $h0lo,$h0lo,$t0
adde $h0hi,$h0hi,$t1
mulld $t0,@a[0],$bi
mulhdu $t1,@a[0],$bi
addc $h1lo,$h1lo,$t0
adde $h1hi,$h1hi,$t1
mulld $t0,@a[3],$bi
mulhdu $t1,@a[3],$bi
ld $ap,`8*($i+1)`($bp)
mulli @a[3],@a[3],19
addc $h4lo,$h4lo,$t0
adde $h4hi,$h4hi,$t1
mulld $t0,@a[1],$bi
mulhdu $t1,@a[1],$bi
addc $h2lo,$h2lo,$t0
adde $h2hi,$h2hi,$t1
mulld $t0,@a[2],$bi
mulhdu $t1,@a[2],$bi
addc $h3lo,$h3lo,$t0
adde $h3hi,$h3hi,$t1
___
unshift(@a,pop(@a));
}
($ap,$bi) = ($bi,$ap);
$code.=<<___;
mulld $t0,$a1,$bi
mulhdu $t1,$a1,$bi
addc $h0lo,$h0lo,$t0
adde $h0hi,$h0hi,$t1
mulld $t0,$a2,$bi
mulhdu $t1,$a2,$bi
addc $h1lo,$h1lo,$t0
adde $h1hi,$h1hi,$t1
mulld $t0,$a3,$bi
mulhdu $t1,$a3,$bi
addc $h2lo,$h2lo,$t0
adde $h2hi,$h2hi,$t1
mulld $t0,$a4,$bi
mulhdu $t1,$a4,$bi
addc $h3lo,$h3lo,$t0
adde $h3hi,$h3hi,$t1
mulld $t0,$a0,$bi
mulhdu $t1,$a0,$bi
addc $h4lo,$h4lo,$t0
adde $h4hi,$h4hi,$t1
.Lfe51_reduce:
li $mask,-1
srdi $mask,$mask,13 # 0x7ffffffffffff
srdi $t0,$h2lo,51
and $a2,$h2lo,$mask
insrdi $t0,$h2hi,51,0 # h2>>51
srdi $t1,$h0lo,51
and $a0,$h0lo,$mask
insrdi $t1,$h0hi,51,0 # h0>>51
addc $h3lo,$h3lo,$t0
addze $h3hi,$h3hi
addc $h1lo,$h1lo,$t1
addze $h1hi,$h1hi
srdi $t0,$h3lo,51
and $a3,$h3lo,$mask
insrdi $t0,$h3hi,51,0 # h3>>51
srdi $t1,$h1lo,51
and $a1,$h1lo,$mask
insrdi $t1,$h1hi,51,0 # h1>>51
addc $h4lo,$h4lo,$t0
addze $h4hi,$h4hi
add $a2,$a2,$t1
srdi $t0,$h4lo,51
and $a4,$h4lo,$mask
insrdi $t0,$h4hi,51,0
mulli $t0,$t0,19 # (h4 >> 51) * 19
add $a0,$a0,$t0
srdi $t1,$a2,51
and $a2,$a2,$mask
add $a3,$a3,$t1
srdi $t0,$a0,51
and $a0,$a0,$mask
add $a1,$a1,$t0
std $a2,16($rp)
std $a3,24($rp)
std $a4,32($rp)
std $a0,0($rp)
std $a1,8($rp)
ld r21,`$FRAME-8*11`($sp)
ld r22,`$FRAME-8*10`($sp)
ld r23,`$FRAME-8*9`($sp)
ld r24,`$FRAME-8*8`($sp)
ld r25,`$FRAME-8*7`($sp)
ld r26,`$FRAME-8*6`($sp)
ld r27,`$FRAME-8*5`($sp)
ld r28,`$FRAME-8*4`($sp)
ld r29,`$FRAME-8*3`($sp)
ld r30,`$FRAME-8*2`($sp)
ld r31,`$FRAME-8*1`($sp)
addi $sp,$sp,$FRAME
blr
.long 0
.byte 0,12,4,0,0x80,11,3,0
.long 0
.size x25519_fe51_mul,.-x25519_fe51_mul
___
{
my ($a0,$a1,$a2,$a3,$a4,$t0,$t1) = ($a0,$a1,$a2,$a3,$a4,$t0,$t1);
$code.=<<___;
.globl x25519_fe51_sqr
.type x25519_fe51_sqr,\@function
.align 5
x25519_fe51_sqr:
stdu $sp,-$FRAME($sp)
std r21,`$FRAME-8*11`($sp)
std r22,`$FRAME-8*10`($sp)
std r23,`$FRAME-8*9`($sp)
std r24,`$FRAME-8*8`($sp)
std r25,`$FRAME-8*7`($sp)
std r26,`$FRAME-8*6`($sp)
std r27,`$FRAME-8*5`($sp)
std r28,`$FRAME-8*4`($sp)
std r29,`$FRAME-8*3`($sp)
std r30,`$FRAME-8*2`($sp)
std r31,`$FRAME-8*1`($sp)
ld $a0,0($ap)
ld $a1,8($ap)
ld $a2,16($ap)
ld $a3,24($ap)
ld $a4,32($ap)
add $bi,$a0,$a0 # a[0]*2
mulli $t1,$a4,19 # a[4]*19
mulld $h0lo,$a0,$a0
mulhdu $h0hi,$a0,$a0
mulld $h1lo,$a1,$bi
mulhdu $h1hi,$a1,$bi
mulld $h2lo,$a2,$bi
mulhdu $h2hi,$a2,$bi
mulld $h3lo,$a3,$bi
mulhdu $h3hi,$a3,$bi
mulld $h4lo,$a4,$bi
mulhdu $h4hi,$a4,$bi
add $bi,$a1,$a1 # a[1]*2
___
($a4,$t1) = ($t1,$a4);
$code.=<<___;
mulld $t0,$t1,$a4
mulhdu $t1,$t1,$a4
addc $h3lo,$h3lo,$t0
adde $h3hi,$h3hi,$t1
mulli $bp,$a3,19 # a[3]*19
mulld $t0,$a1,$a1
mulhdu $t1,$a1,$a1
addc $h2lo,$h2lo,$t0
adde $h2hi,$h2hi,$t1
mulld $t0,$a2,$bi
mulhdu $t1,$a2,$bi
addc $h3lo,$h3lo,$t0
adde $h3hi,$h3hi,$t1
mulld $t0,$a3,$bi
mulhdu $t1,$a3,$bi
addc $h4lo,$h4lo,$t0
adde $h4hi,$h4hi,$t1
mulld $t0,$a4,$bi
mulhdu $t1,$a4,$bi
add $bi,$a3,$a3 # a[3]*2
addc $h0lo,$h0lo,$t0
adde $h0hi,$h0hi,$t1
___
($a3,$t1) = ($bp,$a3);
$code.=<<___;
mulld $t0,$t1,$a3
mulhdu $t1,$t1,$a3
addc $h1lo,$h1lo,$t0
adde $h1hi,$h1hi,$t1
mulld $t0,$bi,$a4
mulhdu $t1,$bi,$a4
add $bi,$a2,$a2 # a[2]*2
addc $h2lo,$h2lo,$t0
adde $h2hi,$h2hi,$t1
mulld $t0,$a2,$a2
mulhdu $t1,$a2,$a2
addc $h4lo,$h4lo,$t0
adde $h4hi,$h4hi,$t1
mulld $t0,$a3,$bi
mulhdu $t1,$a3,$bi
addc $h0lo,$h0lo,$t0
adde $h0hi,$h0hi,$t1
mulld $t0,$a4,$bi
mulhdu $t1,$a4,$bi
addc $h1lo,$h1lo,$t0
adde $h1hi,$h1hi,$t1
b .Lfe51_reduce
.long 0
.byte 0,12,4,0,0x80,11,2,0
.long 0
.size x25519_fe51_sqr,.-x25519_fe51_sqr
___
}
$code.=<<___;
.globl x25519_fe51_mul121666
.type x25519_fe51_mul121666,\@function
.align 5
x25519_fe51_mul121666:
stdu $sp,-$FRAME($sp)
std r21,`$FRAME-8*11`($sp)
std r22,`$FRAME-8*10`($sp)
std r23,`$FRAME-8*9`($sp)
std r24,`$FRAME-8*8`($sp)
std r25,`$FRAME-8*7`($sp)
std r26,`$FRAME-8*6`($sp)
std r27,`$FRAME-8*5`($sp)
std r28,`$FRAME-8*4`($sp)
std r29,`$FRAME-8*3`($sp)
std r30,`$FRAME-8*2`($sp)
std r31,`$FRAME-8*1`($sp)
lis $bi,`65536>>16`
ori $bi,$bi,`121666-65536`
ld $a0,0($ap)
ld $a1,8($ap)
ld $a2,16($ap)
ld $a3,24($ap)
ld $a4,32($ap)
mulld $h0lo,$a0,$bi # a[0]*121666
mulhdu $h0hi,$a0,$bi
mulld $h1lo,$a1,$bi # a[1]*121666
mulhdu $h1hi,$a1,$bi
mulld $h2lo,$a2,$bi # a[2]*121666
mulhdu $h2hi,$a2,$bi
mulld $h3lo,$a3,$bi # a[3]*121666
mulhdu $h3hi,$a3,$bi
mulld $h4lo,$a4,$bi # a[4]*121666
mulhdu $h4hi,$a4,$bi
b .Lfe51_reduce
.long 0
.byte 0,12,4,0,0x80,11,2,0
.long 0
.size x25519_fe51_mul121666,.-x25519_fe51_mul121666
___
}
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
close STDOUT or die "error closing STDOUT: $!";
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