1cb7eff45b
Reviewed-by: Richard Levitte <levitte@openssl.org> (Merged from https://github.com/openssl/openssl/pull/9847)
824 lines
17 KiB
Raku
Executable file
824 lines
17 KiB
Raku
Executable file
#! /usr/bin/env perl
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# Copyright 2018-2019 The OpenSSL Project Authors. All Rights Reserved.
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#
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# Licensed under the OpenSSL license (the "License"). You may not use
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# this file except in compliance with the License. You can obtain a copy
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# in the file LICENSE in the source distribution or at
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# https://www.openssl.org/source/license.html
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#
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# ====================================================================
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# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
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# project. The module is, however, dual licensed under OpenSSL and
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# CRYPTOGAMS licenses depending on where you obtain it. For further
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# details see http://www.openssl.org/~appro/cryptogams/.
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# ====================================================================
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#
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# X25519 lower-level primitives for PPC64.
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#
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# July 2018.
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#
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# Base 2^64 is faster than base 2^51 on pre-POWER8, most notably ~15%
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# faster on PPC970/G5. POWER8 on the other hand seems to trip on own
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# shoelaces when handling longer carry chains. As base 2^51 has just
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# single-carry pairs, it's 25% faster than base 2^64. Since PPC970 is
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# pretty old, base 2^64 implementation is not engaged. Comparison to
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# compiler-generated code is complicated by the fact that not all
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# compilers support 128-bit integers. When compiler doesn't, like xlc,
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# this module delivers more than 2x improvement, and when it does,
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# from 12% to 30% improvement was measured...
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$flavour = shift;
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while (($output=shift) && ($output!~/\w[\w\-]*\.\w+$/)) {}
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$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
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( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
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( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
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die "can't locate ppc-xlate.pl";
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open OUT,"| \"$^X\" $xlate $flavour $output";
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*STDOUT=*OUT;
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my $sp = "r1";
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my ($rp,$ap,$bp) = map("r$_",3..5);
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####################################################### base 2^64
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if (0) {
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my ($bi,$a0,$a1,$a2,$a3,$t0,$t1, $t2,$t3,
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$acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7) =
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map("r$_",(6..12,22..31));
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my $zero = "r0";
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my $FRAME = 16*8;
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$code.=<<___;
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.text
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.globl x25519_fe64_mul
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.type x25519_fe64_mul,\@function
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.align 5
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x25519_fe64_mul:
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stdu $sp,-$FRAME($sp)
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std r22,`$FRAME-8*10`($sp)
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std r23,`$FRAME-8*9`($sp)
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std r24,`$FRAME-8*8`($sp)
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std r25,`$FRAME-8*7`($sp)
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std r26,`$FRAME-8*6`($sp)
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std r27,`$FRAME-8*5`($sp)
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std r28,`$FRAME-8*4`($sp)
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std r29,`$FRAME-8*3`($sp)
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std r30,`$FRAME-8*2`($sp)
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std r31,`$FRAME-8*1`($sp)
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ld $bi,0($bp)
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ld $a0,0($ap)
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xor $zero,$zero,$zero
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ld $a1,8($ap)
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ld $a2,16($ap)
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ld $a3,24($ap)
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mulld $acc0,$a0,$bi # a[0]*b[0]
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mulhdu $t0,$a0,$bi
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mulld $acc1,$a1,$bi # a[1]*b[0]
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mulhdu $t1,$a1,$bi
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mulld $acc2,$a2,$bi # a[2]*b[0]
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mulhdu $t2,$a2,$bi
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mulld $acc3,$a3,$bi # a[3]*b[0]
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mulhdu $t3,$a3,$bi
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___
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for(my @acc=($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7),
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my $i=1; $i<4; shift(@acc), $i++) {
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my $acc4 = $i==1? $zero : @acc[4];
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$code.=<<___;
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ld $bi,`8*$i`($bp)
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addc @acc[1],@acc[1],$t0 # accumulate high parts
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mulld $t0,$a0,$bi
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adde @acc[2],@acc[2],$t1
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mulld $t1,$a1,$bi
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adde @acc[3],@acc[3],$t2
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mulld $t2,$a2,$bi
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adde @acc[4],$acc4,$t3
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mulld $t3,$a3,$bi
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addc @acc[1],@acc[1],$t0 # accumulate low parts
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mulhdu $t0,$a0,$bi
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adde @acc[2],@acc[2],$t1
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mulhdu $t1,$a1,$bi
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adde @acc[3],@acc[3],$t2
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mulhdu $t2,$a2,$bi
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adde @acc[4],@acc[4],$t3
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mulhdu $t3,$a3,$bi
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adde @acc[5],$zero,$zero
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___
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}
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$code.=<<___;
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li $bi,38
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addc $acc4,$acc4,$t0
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mulld $t0,$acc4,$bi
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adde $acc5,$acc5,$t1
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mulld $t1,$acc5,$bi
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adde $acc6,$acc6,$t2
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mulld $t2,$acc6,$bi
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adde $acc7,$acc7,$t3
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mulld $t3,$acc7,$bi
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addc $acc0,$acc0,$t0
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mulhdu $t0,$acc4,$bi
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adde $acc1,$acc1,$t1
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mulhdu $t1,$acc5,$bi
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adde $acc2,$acc2,$t2
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mulhdu $t2,$acc6,$bi
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adde $acc3,$acc3,$t3
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mulhdu $t3,$acc7,$bi
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adde $acc4,$zero,$zero
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addc $acc1,$acc1,$t0
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adde $acc2,$acc2,$t1
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adde $acc3,$acc3,$t2
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adde $acc4,$acc4,$t3
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mulld $acc4,$acc4,$bi
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addc $acc0,$acc0,$acc4
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addze $acc1,$acc1
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addze $acc2,$acc2
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addze $acc3,$acc3
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subfe $acc4,$acc4,$acc4 # carry -> ~mask
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std $acc1,8($rp)
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andc $acc4,$bi,$acc4
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std $acc2,16($rp)
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add $acc0,$acc0,$acc4
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std $acc3,24($rp)
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std $acc0,0($rp)
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ld r22,`$FRAME-8*10`($sp)
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ld r23,`$FRAME-8*9`($sp)
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ld r24,`$FRAME-8*8`($sp)
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ld r25,`$FRAME-8*7`($sp)
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ld r26,`$FRAME-8*6`($sp)
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ld r27,`$FRAME-8*5`($sp)
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ld r28,`$FRAME-8*4`($sp)
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ld r29,`$FRAME-8*3`($sp)
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ld r30,`$FRAME-8*2`($sp)
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ld r31,`$FRAME-8*1`($sp)
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addi $sp,$sp,$FRAME
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blr
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.long 0
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.byte 0,12,4,0,0x80,10,3,0
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.long 0
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.size x25519_fe64_mul,.-x25519_fe64_mul
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.globl x25519_fe64_sqr
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.type x25519_fe64_sqr,\@function
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.align 5
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x25519_fe64_sqr:
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stdu $sp,-$FRAME($sp)
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std r22,`$FRAME-8*10`($sp)
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std r23,`$FRAME-8*9`($sp)
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std r24,`$FRAME-8*8`($sp)
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std r25,`$FRAME-8*7`($sp)
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std r26,`$FRAME-8*6`($sp)
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std r27,`$FRAME-8*5`($sp)
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std r28,`$FRAME-8*4`($sp)
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std r29,`$FRAME-8*3`($sp)
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std r30,`$FRAME-8*2`($sp)
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std r31,`$FRAME-8*1`($sp)
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ld $a0,0($ap)
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xor $zero,$zero,$zero
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ld $a1,8($ap)
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ld $a2,16($ap)
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ld $a3,24($ap)
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################################
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# | | | | | |a1*a0| |
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# | | | | |a2*a0| | |
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# | |a3*a2|a3*a0| | | |
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# | | | |a2*a1| | | |
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# | | |a3*a1| | | | |
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# *| | | | | | | | 2|
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# +|a3*a3|a2*a2|a1*a1|a0*a0|
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# |--+--+--+--+--+--+--+--|
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# |A7|A6|A5|A4|A3|A2|A1|A0|, where Ax is $accx, i.e. follow $accx
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#
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# "can't overflow" below mark carrying into high part of
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# multiplication result, which can't overflow, because it
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# can never be all ones.
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mulld $acc1,$a1,$a0 # a[1]*a[0]
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mulhdu $t1,$a1,$a0
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mulld $acc2,$a2,$a0 # a[2]*a[0]
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mulhdu $t2,$a2,$a0
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mulld $acc3,$a3,$a0 # a[3]*a[0]
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mulhdu $acc4,$a3,$a0
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addc $acc2,$acc2,$t1 # accumulate high parts of multiplication
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mulld $t0,$a2,$a1 # a[2]*a[1]
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mulhdu $t1,$a2,$a1
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adde $acc3,$acc3,$t2
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mulld $t2,$a3,$a1 # a[3]*a[1]
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mulhdu $t3,$a3,$a1
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addze $acc4,$acc4 # can't overflow
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mulld $acc5,$a3,$a2 # a[3]*a[2]
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mulhdu $acc6,$a3,$a2
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addc $t1,$t1,$t2 # accumulate high parts of multiplication
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mulld $acc0,$a0,$a0 # a[0]*a[0]
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addze $t2,$t3 # can't overflow
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addc $acc3,$acc3,$t0 # accumulate low parts of multiplication
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mulhdu $a0,$a0,$a0
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adde $acc4,$acc4,$t1
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mulld $t1,$a1,$a1 # a[1]*a[1]
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adde $acc5,$acc5,$t2
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mulhdu $a1,$a1,$a1
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addze $acc6,$acc6 # can't overflow
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addc $acc1,$acc1,$acc1 # acc[1-6]*=2
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mulld $t2,$a2,$a2 # a[2]*a[2]
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adde $acc2,$acc2,$acc2
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mulhdu $a2,$a2,$a2
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adde $acc3,$acc3,$acc3
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mulld $t3,$a3,$a3 # a[3]*a[3]
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adde $acc4,$acc4,$acc4
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mulhdu $a3,$a3,$a3
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adde $acc5,$acc5,$acc5
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adde $acc6,$acc6,$acc6
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addze $acc7,$zero
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addc $acc1,$acc1,$a0 # +a[i]*a[i]
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li $bi,38
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adde $acc2,$acc2,$t1
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adde $acc3,$acc3,$a1
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adde $acc4,$acc4,$t2
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adde $acc5,$acc5,$a2
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adde $acc6,$acc6,$t3
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adde $acc7,$acc7,$a3
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mulld $t0,$acc4,$bi
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mulld $t1,$acc5,$bi
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mulld $t2,$acc6,$bi
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mulld $t3,$acc7,$bi
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addc $acc0,$acc0,$t0
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mulhdu $t0,$acc4,$bi
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adde $acc1,$acc1,$t1
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mulhdu $t1,$acc5,$bi
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adde $acc2,$acc2,$t2
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mulhdu $t2,$acc6,$bi
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adde $acc3,$acc3,$t3
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mulhdu $t3,$acc7,$bi
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addze $acc4,$zero
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addc $acc1,$acc1,$t0
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adde $acc2,$acc2,$t1
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adde $acc3,$acc3,$t2
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adde $acc4,$acc4,$t3
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mulld $acc4,$acc4,$bi
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addc $acc0,$acc0,$acc4
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addze $acc1,$acc1
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addze $acc2,$acc2
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addze $acc3,$acc3
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subfe $acc4,$acc4,$acc4 # carry -> ~mask
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std $acc1,8($rp)
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andc $acc4,$bi,$acc4
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std $acc2,16($rp)
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add $acc0,$acc0,$acc4
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std $acc3,24($rp)
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std $acc0,0($rp)
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ld r22,`$FRAME-8*10`($sp)
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ld r23,`$FRAME-8*9`($sp)
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ld r24,`$FRAME-8*8`($sp)
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ld r25,`$FRAME-8*7`($sp)
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ld r26,`$FRAME-8*6`($sp)
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ld r27,`$FRAME-8*5`($sp)
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ld r28,`$FRAME-8*4`($sp)
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ld r29,`$FRAME-8*3`($sp)
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ld r30,`$FRAME-8*2`($sp)
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ld r31,`$FRAME-8*1`($sp)
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addi $sp,$sp,$FRAME
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blr
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.long 0
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.byte 0,12,4,0,0x80,10,2,0
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.long 0
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.size x25519_fe64_sqr,.-x25519_fe64_sqr
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.globl x25519_fe64_mul121666
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.type x25519_fe64_mul121666,\@function
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.align 5
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x25519_fe64_mul121666:
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lis $bi,`65536>>16`
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ori $bi,$bi,`121666-65536`
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ld $t0,0($ap)
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ld $t1,8($ap)
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ld $bp,16($ap)
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ld $ap,24($ap)
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mulld $a0,$t0,$bi
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mulhdu $t0,$t0,$bi
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mulld $a1,$t1,$bi
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mulhdu $t1,$t1,$bi
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mulld $a2,$bp,$bi
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mulhdu $bp,$bp,$bi
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mulld $a3,$ap,$bi
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mulhdu $ap,$ap,$bi
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addc $a1,$a1,$t0
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adde $a2,$a2,$t1
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adde $a3,$a3,$bp
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addze $ap, $ap
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mulli $ap,$ap,38
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addc $a0,$a0,$ap
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addze $a1,$a1
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addze $a2,$a2
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addze $a3,$a3
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subfe $t1,$t1,$t1 # carry -> ~mask
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std $a1,8($rp)
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andc $t0,$t0,$t1
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std $a2,16($rp)
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add $a0,$a0,$t0
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std $a3,24($rp)
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std $a0,0($rp)
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blr
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.long 0
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.byte 0,12,0x14,0,0,0,2,0
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.long 0
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.size x25519_fe64_mul121666,.-x25519_fe64_mul121666
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.globl x25519_fe64_add
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.type x25519_fe64_add,\@function
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.align 5
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x25519_fe64_add:
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ld $a0,0($ap)
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ld $t0,0($bp)
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ld $a1,8($ap)
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ld $t1,8($bp)
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ld $a2,16($ap)
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ld $bi,16($bp)
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ld $a3,24($ap)
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ld $bp,24($bp)
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addc $a0,$a0,$t0
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adde $a1,$a1,$t1
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adde $a2,$a2,$bi
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adde $a3,$a3,$bp
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li $t0,38
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subfe $t1,$t1,$t1 # carry -> ~mask
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andc $t1,$t0,$t1
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addc $a0,$a0,$t1
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addze $a1,$a1
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addze $a2,$a2
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addze $a3,$a3
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subfe $t1,$t1,$t1 # carry -> ~mask
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std $a1,8($rp)
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andc $t0,$t0,$t1
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std $a2,16($rp)
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add $a0,$a0,$t0
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std $a3,24($rp)
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std $a0,0($rp)
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blr
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.long 0
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.byte 0,12,0x14,0,0,0,3,0
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.long 0
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.size x25519_fe64_add,.-x25519_fe64_add
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.globl x25519_fe64_sub
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.type x25519_fe64_sub,\@function
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.align 5
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x25519_fe64_sub:
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ld $a0,0($ap)
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ld $t0,0($bp)
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ld $a1,8($ap)
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ld $t1,8($bp)
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ld $a2,16($ap)
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ld $bi,16($bp)
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ld $a3,24($ap)
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ld $bp,24($bp)
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subfc $a0,$t0,$a0
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subfe $a1,$t1,$a1
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subfe $a2,$bi,$a2
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subfe $a3,$bp,$a3
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li $t0,38
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subfe $t1,$t1,$t1 # borrow -> mask
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xor $zero,$zero,$zero
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and $t1,$t0,$t1
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subfc $a0,$t1,$a0
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subfe $a1,$zero,$a1
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subfe $a2,$zero,$a2
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subfe $a3,$zero,$a3
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subfe $t1,$t1,$t1 # borrow -> mask
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std $a1,8($rp)
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and $t0,$t0,$t1
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std $a2,16($rp)
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subf $a0,$t0,$a0
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std $a3,24($rp)
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std $a0,0($rp)
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blr
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.long 0
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.byte 0,12,0x14,0,0,0,3,0
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.long 0
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.size x25519_fe64_sub,.-x25519_fe64_sub
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.globl x25519_fe64_tobytes
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.type x25519_fe64_tobytes,\@function
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.align 5
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x25519_fe64_tobytes:
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ld $a3,24($ap)
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ld $a0,0($ap)
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ld $a1,8($ap)
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ld $a2,16($ap)
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sradi $t0,$a3,63 # most significant bit -> mask
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li $t1,19
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and $t0,$t0,$t1
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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;
|