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- #! /usr/bin/env perl
- # Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
- #
- # Licensed under the OpenSSL license (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/.
- # ====================================================================
- #
- # ECP_NISTZ256 module for ARMv4.
- #
- # October 2014.
- #
- # Original ECP_NISTZ256 submission targeting x86_64 is detailed in
- # http://eprint.iacr.org/2013/816. In the process of adaptation
- # original .c module was made 32-bit savvy in order to make this
- # implementation possible.
- #
- # with/without -DECP_NISTZ256_ASM
- # Cortex-A8 +53-170%
- # Cortex-A9 +76-205%
- # Cortex-A15 +100-316%
- # Snapdragon S4 +66-187%
- #
- # Ranges denote minimum and maximum improvement coefficients depending
- # on benchmark. Lower coefficients are for ECDSA sign, server-side
- # operation. Keep in mind that +200% means 3x improvement.
- $flavour = shift;
- if ($flavour=~/\w[\w\-]*\.\w+$/) { $output=$flavour; undef $flavour; }
- else { while (($output=shift) && ($output!~/\w[\w\-]*\.\w+$/)) {} }
- if ($flavour && $flavour ne "void") {
- $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
- ( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or
- ( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or
- die "can't locate arm-xlate.pl";
- open STDOUT,"| \"$^X\" $xlate $flavour $output";
- } else {
- open STDOUT,">$output";
- }
- $code.=<<___;
- #include "arm_arch.h"
- .text
- #if defined(__thumb2__)
- .syntax unified
- .thumb
- #else
- .code 32
- #endif
- ___
- ########################################################################
- # Convert ecp_nistz256_table.c to layout expected by ecp_nistz_gather_w7
- #
- $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
- open TABLE,"<ecp_nistz256_table.c" or
- open TABLE,"<${dir}../ecp_nistz256_table.c" or
- die "failed to open ecp_nistz256_table.c:",$!;
- use integer;
- foreach(<TABLE>) {
- s/TOBN\(\s*(0x[0-9a-f]+),\s*(0x[0-9a-f]+)\s*\)/push @arr,hex($2),hex($1)/geo;
- }
- close TABLE;
- # See ecp_nistz256_table.c for explanation for why it's 64*16*37.
- # 64*16*37-1 is because $#arr returns last valid index or @arr, not
- # amount of elements.
- die "insane number of elements" if ($#arr != 64*16*37-1);
- $code.=<<___;
- .globl ecp_nistz256_precomputed
- .type ecp_nistz256_precomputed,%object
- .align 12
- ecp_nistz256_precomputed:
- ___
- ########################################################################
- # this conversion smashes P256_POINT_AFFINE by individual bytes with
- # 64 byte interval, similar to
- # 1111222233334444
- # 1234123412341234
- for(1..37) {
- @tbl = splice(@arr,0,64*16);
- for($i=0;$i<64;$i++) {
- undef @line;
- for($j=0;$j<64;$j++) {
- push @line,(@tbl[$j*16+$i/4]>>(($i%4)*8))&0xff;
- }
- $code.=".byte\t";
- $code.=join(',',map { sprintf "0x%02x",$_} @line);
- $code.="\n";
- }
- }
- $code.=<<___;
- .size ecp_nistz256_precomputed,.-ecp_nistz256_precomputed
- .align 5
- .LRR: @ 2^512 mod P precomputed for NIST P256 polynomial
- .long 0x00000003, 0x00000000, 0xffffffff, 0xfffffffb
- .long 0xfffffffe, 0xffffffff, 0xfffffffd, 0x00000004
- .Lone:
- .long 1,0,0,0,0,0,0,0
- .asciz "ECP_NISTZ256 for ARMv4, CRYPTOGAMS by <appro\@openssl.org>"
- .align 6
- ___
- ########################################################################
- # common register layout, note that $t2 is link register, so that if
- # internal subroutine uses $t2, then it has to offload lr...
- ($r_ptr,$a_ptr,$b_ptr,$ff,$a0,$a1,$a2,$a3,$a4,$a5,$a6,$a7,$t1,$t2)=
- map("r$_",(0..12,14));
- ($t0,$t3)=($ff,$a_ptr);
- $code.=<<___;
- @ void ecp_nistz256_to_mont(BN_ULONG r0[8],const BN_ULONG r1[8]);
- .globl ecp_nistz256_to_mont
- .type ecp_nistz256_to_mont,%function
- ecp_nistz256_to_mont:
- adr $b_ptr,.LRR
- b .Lecp_nistz256_mul_mont
- .size ecp_nistz256_to_mont,.-ecp_nistz256_to_mont
- @ void ecp_nistz256_from_mont(BN_ULONG r0[8],const BN_ULONG r1[8]);
- .globl ecp_nistz256_from_mont
- .type ecp_nistz256_from_mont,%function
- ecp_nistz256_from_mont:
- adr $b_ptr,.Lone
- b .Lecp_nistz256_mul_mont
- .size ecp_nistz256_from_mont,.-ecp_nistz256_from_mont
- @ void ecp_nistz256_mul_by_2(BN_ULONG r0[8],const BN_ULONG r1[8]);
- .globl ecp_nistz256_mul_by_2
- .type ecp_nistz256_mul_by_2,%function
- .align 4
- ecp_nistz256_mul_by_2:
- stmdb sp!,{r4-r12,lr}
- bl __ecp_nistz256_mul_by_2
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_mul_by_2,.-ecp_nistz256_mul_by_2
- .type __ecp_nistz256_mul_by_2,%function
- .align 4
- __ecp_nistz256_mul_by_2:
- ldr $a0,[$a_ptr,#0]
- ldr $a1,[$a_ptr,#4]
- ldr $a2,[$a_ptr,#8]
- adds $a0,$a0,$a0 @ a[0:7]+=a[0:7], i.e. add with itself
- ldr $a3,[$a_ptr,#12]
- adcs $a1,$a1,$a1
- ldr $a4,[$a_ptr,#16]
- adcs $a2,$a2,$a2
- ldr $a5,[$a_ptr,#20]
- adcs $a3,$a3,$a3
- ldr $a6,[$a_ptr,#24]
- adcs $a4,$a4,$a4
- ldr $a7,[$a_ptr,#28]
- adcs $a5,$a5,$a5
- adcs $a6,$a6,$a6
- mov $ff,#0
- adcs $a7,$a7,$a7
- adc $ff,$ff,#0
- b .Lreduce_by_sub
- .size __ecp_nistz256_mul_by_2,.-__ecp_nistz256_mul_by_2
- @ void ecp_nistz256_add(BN_ULONG r0[8],const BN_ULONG r1[8],
- @ const BN_ULONG r2[8]);
- .globl ecp_nistz256_add
- .type ecp_nistz256_add,%function
- .align 4
- ecp_nistz256_add:
- stmdb sp!,{r4-r12,lr}
- bl __ecp_nistz256_add
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_add,.-ecp_nistz256_add
- .type __ecp_nistz256_add,%function
- .align 4
- __ecp_nistz256_add:
- str lr,[sp,#-4]! @ push lr
- ldr $a0,[$a_ptr,#0]
- ldr $a1,[$a_ptr,#4]
- ldr $a2,[$a_ptr,#8]
- ldr $a3,[$a_ptr,#12]
- ldr $a4,[$a_ptr,#16]
- ldr $t0,[$b_ptr,#0]
- ldr $a5,[$a_ptr,#20]
- ldr $t1,[$b_ptr,#4]
- ldr $a6,[$a_ptr,#24]
- ldr $t2,[$b_ptr,#8]
- ldr $a7,[$a_ptr,#28]
- ldr $t3,[$b_ptr,#12]
- adds $a0,$a0,$t0
- ldr $t0,[$b_ptr,#16]
- adcs $a1,$a1,$t1
- ldr $t1,[$b_ptr,#20]
- adcs $a2,$a2,$t2
- ldr $t2,[$b_ptr,#24]
- adcs $a3,$a3,$t3
- ldr $t3,[$b_ptr,#28]
- adcs $a4,$a4,$t0
- adcs $a5,$a5,$t1
- adcs $a6,$a6,$t2
- mov $ff,#0
- adcs $a7,$a7,$t3
- adc $ff,$ff,#0
- ldr lr,[sp],#4 @ pop lr
- .Lreduce_by_sub:
- @ if a+b >= modulus, subtract modulus.
- @
- @ But since comparison implies subtraction, we subtract
- @ modulus and then add it back if subtraction borrowed.
- subs $a0,$a0,#-1
- sbcs $a1,$a1,#-1
- sbcs $a2,$a2,#-1
- sbcs $a3,$a3,#0
- sbcs $a4,$a4,#0
- sbcs $a5,$a5,#0
- sbcs $a6,$a6,#1
- sbcs $a7,$a7,#-1
- sbc $ff,$ff,#0
- @ Note that because mod has special form, i.e. consists of
- @ 0xffffffff, 1 and 0s, we can conditionally synthesize it by
- @ using value of borrow as a whole or extracting single bit.
- @ Follow $ff register...
- adds $a0,$a0,$ff @ add synthesized modulus
- adcs $a1,$a1,$ff
- str $a0,[$r_ptr,#0]
- adcs $a2,$a2,$ff
- str $a1,[$r_ptr,#4]
- adcs $a3,$a3,#0
- str $a2,[$r_ptr,#8]
- adcs $a4,$a4,#0
- str $a3,[$r_ptr,#12]
- adcs $a5,$a5,#0
- str $a4,[$r_ptr,#16]
- adcs $a6,$a6,$ff,lsr#31
- str $a5,[$r_ptr,#20]
- adcs $a7,$a7,$ff
- str $a6,[$r_ptr,#24]
- str $a7,[$r_ptr,#28]
- mov pc,lr
- .size __ecp_nistz256_add,.-__ecp_nistz256_add
- @ void ecp_nistz256_mul_by_3(BN_ULONG r0[8],const BN_ULONG r1[8]);
- .globl ecp_nistz256_mul_by_3
- .type ecp_nistz256_mul_by_3,%function
- .align 4
- ecp_nistz256_mul_by_3:
- stmdb sp!,{r4-r12,lr}
- bl __ecp_nistz256_mul_by_3
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_mul_by_3,.-ecp_nistz256_mul_by_3
- .type __ecp_nistz256_mul_by_3,%function
- .align 4
- __ecp_nistz256_mul_by_3:
- str lr,[sp,#-4]! @ push lr
- @ As multiplication by 3 is performed as 2*n+n, below are inline
- @ copies of __ecp_nistz256_mul_by_2 and __ecp_nistz256_add, see
- @ corresponding subroutines for details.
- ldr $a0,[$a_ptr,#0]
- ldr $a1,[$a_ptr,#4]
- ldr $a2,[$a_ptr,#8]
- adds $a0,$a0,$a0 @ a[0:7]+=a[0:7]
- ldr $a3,[$a_ptr,#12]
- adcs $a1,$a1,$a1
- ldr $a4,[$a_ptr,#16]
- adcs $a2,$a2,$a2
- ldr $a5,[$a_ptr,#20]
- adcs $a3,$a3,$a3
- ldr $a6,[$a_ptr,#24]
- adcs $a4,$a4,$a4
- ldr $a7,[$a_ptr,#28]
- adcs $a5,$a5,$a5
- adcs $a6,$a6,$a6
- mov $ff,#0
- adcs $a7,$a7,$a7
- adc $ff,$ff,#0
- subs $a0,$a0,#-1 @ .Lreduce_by_sub but without stores
- sbcs $a1,$a1,#-1
- sbcs $a2,$a2,#-1
- sbcs $a3,$a3,#0
- sbcs $a4,$a4,#0
- sbcs $a5,$a5,#0
- sbcs $a6,$a6,#1
- sbcs $a7,$a7,#-1
- sbc $ff,$ff,#0
- adds $a0,$a0,$ff @ add synthesized modulus
- adcs $a1,$a1,$ff
- adcs $a2,$a2,$ff
- adcs $a3,$a3,#0
- adcs $a4,$a4,#0
- ldr $b_ptr,[$a_ptr,#0]
- adcs $a5,$a5,#0
- ldr $t1,[$a_ptr,#4]
- adcs $a6,$a6,$ff,lsr#31
- ldr $t2,[$a_ptr,#8]
- adc $a7,$a7,$ff
- ldr $t0,[$a_ptr,#12]
- adds $a0,$a0,$b_ptr @ 2*a[0:7]+=a[0:7]
- ldr $b_ptr,[$a_ptr,#16]
- adcs $a1,$a1,$t1
- ldr $t1,[$a_ptr,#20]
- adcs $a2,$a2,$t2
- ldr $t2,[$a_ptr,#24]
- adcs $a3,$a3,$t0
- ldr $t3,[$a_ptr,#28]
- adcs $a4,$a4,$b_ptr
- adcs $a5,$a5,$t1
- adcs $a6,$a6,$t2
- mov $ff,#0
- adcs $a7,$a7,$t3
- adc $ff,$ff,#0
- ldr lr,[sp],#4 @ pop lr
- b .Lreduce_by_sub
- .size ecp_nistz256_mul_by_3,.-ecp_nistz256_mul_by_3
- @ void ecp_nistz256_div_by_2(BN_ULONG r0[8],const BN_ULONG r1[8]);
- .globl ecp_nistz256_div_by_2
- .type ecp_nistz256_div_by_2,%function
- .align 4
- ecp_nistz256_div_by_2:
- stmdb sp!,{r4-r12,lr}
- bl __ecp_nistz256_div_by_2
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_div_by_2,.-ecp_nistz256_div_by_2
- .type __ecp_nistz256_div_by_2,%function
- .align 4
- __ecp_nistz256_div_by_2:
- @ ret = (a is odd ? a+mod : a) >> 1
- ldr $a0,[$a_ptr,#0]
- ldr $a1,[$a_ptr,#4]
- ldr $a2,[$a_ptr,#8]
- mov $ff,$a0,lsl#31 @ place least significant bit to most
- @ significant position, now arithmetic
- @ right shift by 31 will produce -1 or
- @ 0, while logical right shift 1 or 0,
- @ this is how modulus is conditionally
- @ synthesized in this case...
- ldr $a3,[$a_ptr,#12]
- adds $a0,$a0,$ff,asr#31
- ldr $a4,[$a_ptr,#16]
- adcs $a1,$a1,$ff,asr#31
- ldr $a5,[$a_ptr,#20]
- adcs $a2,$a2,$ff,asr#31
- ldr $a6,[$a_ptr,#24]
- adcs $a3,$a3,#0
- ldr $a7,[$a_ptr,#28]
- adcs $a4,$a4,#0
- mov $a0,$a0,lsr#1 @ a[0:7]>>=1, we can start early
- @ because it doesn't affect flags
- adcs $a5,$a5,#0
- orr $a0,$a0,$a1,lsl#31
- adcs $a6,$a6,$ff,lsr#31
- mov $b_ptr,#0
- adcs $a7,$a7,$ff,asr#31
- mov $a1,$a1,lsr#1
- adc $b_ptr,$b_ptr,#0 @ top-most carry bit from addition
- orr $a1,$a1,$a2,lsl#31
- mov $a2,$a2,lsr#1
- str $a0,[$r_ptr,#0]
- orr $a2,$a2,$a3,lsl#31
- mov $a3,$a3,lsr#1
- str $a1,[$r_ptr,#4]
- orr $a3,$a3,$a4,lsl#31
- mov $a4,$a4,lsr#1
- str $a2,[$r_ptr,#8]
- orr $a4,$a4,$a5,lsl#31
- mov $a5,$a5,lsr#1
- str $a3,[$r_ptr,#12]
- orr $a5,$a5,$a6,lsl#31
- mov $a6,$a6,lsr#1
- str $a4,[$r_ptr,#16]
- orr $a6,$a6,$a7,lsl#31
- mov $a7,$a7,lsr#1
- str $a5,[$r_ptr,#20]
- orr $a7,$a7,$b_ptr,lsl#31 @ don't forget the top-most carry bit
- str $a6,[$r_ptr,#24]
- str $a7,[$r_ptr,#28]
- mov pc,lr
- .size __ecp_nistz256_div_by_2,.-__ecp_nistz256_div_by_2
- @ void ecp_nistz256_sub(BN_ULONG r0[8],const BN_ULONG r1[8],
- @ const BN_ULONG r2[8]);
- .globl ecp_nistz256_sub
- .type ecp_nistz256_sub,%function
- .align 4
- ecp_nistz256_sub:
- stmdb sp!,{r4-r12,lr}
- bl __ecp_nistz256_sub
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_sub,.-ecp_nistz256_sub
- .type __ecp_nistz256_sub,%function
- .align 4
- __ecp_nistz256_sub:
- str lr,[sp,#-4]! @ push lr
- ldr $a0,[$a_ptr,#0]
- ldr $a1,[$a_ptr,#4]
- ldr $a2,[$a_ptr,#8]
- ldr $a3,[$a_ptr,#12]
- ldr $a4,[$a_ptr,#16]
- ldr $t0,[$b_ptr,#0]
- ldr $a5,[$a_ptr,#20]
- ldr $t1,[$b_ptr,#4]
- ldr $a6,[$a_ptr,#24]
- ldr $t2,[$b_ptr,#8]
- ldr $a7,[$a_ptr,#28]
- ldr $t3,[$b_ptr,#12]
- subs $a0,$a0,$t0
- ldr $t0,[$b_ptr,#16]
- sbcs $a1,$a1,$t1
- ldr $t1,[$b_ptr,#20]
- sbcs $a2,$a2,$t2
- ldr $t2,[$b_ptr,#24]
- sbcs $a3,$a3,$t3
- ldr $t3,[$b_ptr,#28]
- sbcs $a4,$a4,$t0
- sbcs $a5,$a5,$t1
- sbcs $a6,$a6,$t2
- sbcs $a7,$a7,$t3
- sbc $ff,$ff,$ff @ broadcast borrow bit
- ldr lr,[sp],#4 @ pop lr
- .Lreduce_by_add:
- @ if a-b borrows, add modulus.
- @
- @ Note that because mod has special form, i.e. consists of
- @ 0xffffffff, 1 and 0s, we can conditionally synthesize it by
- @ broadcasting borrow bit to a register, $ff, and using it as
- @ a whole or extracting single bit.
- adds $a0,$a0,$ff @ add synthesized modulus
- adcs $a1,$a1,$ff
- str $a0,[$r_ptr,#0]
- adcs $a2,$a2,$ff
- str $a1,[$r_ptr,#4]
- adcs $a3,$a3,#0
- str $a2,[$r_ptr,#8]
- adcs $a4,$a4,#0
- str $a3,[$r_ptr,#12]
- adcs $a5,$a5,#0
- str $a4,[$r_ptr,#16]
- adcs $a6,$a6,$ff,lsr#31
- str $a5,[$r_ptr,#20]
- adcs $a7,$a7,$ff
- str $a6,[$r_ptr,#24]
- str $a7,[$r_ptr,#28]
- mov pc,lr
- .size __ecp_nistz256_sub,.-__ecp_nistz256_sub
- @ void ecp_nistz256_neg(BN_ULONG r0[8],const BN_ULONG r1[8]);
- .globl ecp_nistz256_neg
- .type ecp_nistz256_neg,%function
- .align 4
- ecp_nistz256_neg:
- stmdb sp!,{r4-r12,lr}
- bl __ecp_nistz256_neg
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_neg,.-ecp_nistz256_neg
- .type __ecp_nistz256_neg,%function
- .align 4
- __ecp_nistz256_neg:
- ldr $a0,[$a_ptr,#0]
- eor $ff,$ff,$ff
- ldr $a1,[$a_ptr,#4]
- ldr $a2,[$a_ptr,#8]
- subs $a0,$ff,$a0
- ldr $a3,[$a_ptr,#12]
- sbcs $a1,$ff,$a1
- ldr $a4,[$a_ptr,#16]
- sbcs $a2,$ff,$a2
- ldr $a5,[$a_ptr,#20]
- sbcs $a3,$ff,$a3
- ldr $a6,[$a_ptr,#24]
- sbcs $a4,$ff,$a4
- ldr $a7,[$a_ptr,#28]
- sbcs $a5,$ff,$a5
- sbcs $a6,$ff,$a6
- sbcs $a7,$ff,$a7
- sbc $ff,$ff,$ff
- b .Lreduce_by_add
- .size __ecp_nistz256_neg,.-__ecp_nistz256_neg
- ___
- {
- my @acc=map("r$_",(3..11));
- my ($t0,$t1,$bj,$t2,$t3)=map("r$_",(0,1,2,12,14));
- $code.=<<___;
- @ void ecp_nistz256_sqr_mont(BN_ULONG r0[8],const BN_ULONG r1[8]);
- .globl ecp_nistz256_sqr_mont
- .type ecp_nistz256_sqr_mont,%function
- .align 4
- ecp_nistz256_sqr_mont:
- mov $b_ptr,$a_ptr
- b .Lecp_nistz256_mul_mont
- .size ecp_nistz256_sqr_mont,.-ecp_nistz256_sqr_mont
- @ void ecp_nistz256_mul_mont(BN_ULONG r0[8],const BN_ULONG r1[8],
- @ const BN_ULONG r2[8]);
- .globl ecp_nistz256_mul_mont
- .type ecp_nistz256_mul_mont,%function
- .align 4
- ecp_nistz256_mul_mont:
- .Lecp_nistz256_mul_mont:
- stmdb sp!,{r4-r12,lr}
- bl __ecp_nistz256_mul_mont
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_mul_mont,.-ecp_nistz256_mul_mont
- .type __ecp_nistz256_mul_mont,%function
- .align 4
- __ecp_nistz256_mul_mont:
- stmdb sp!,{r0-r2,lr} @ make a copy of arguments too
- ldr $bj,[$b_ptr,#0] @ b[0]
- ldmia $a_ptr,{@acc[1]-@acc[8]}
- umull @acc[0],$t3,@acc[1],$bj @ r[0]=a[0]*b[0]
- stmdb sp!,{$acc[1]-@acc[8]} @ copy a[0-7] to stack, so
- @ that it can be addressed
- @ without spending register
- @ on address
- umull @acc[1],$t0,@acc[2],$bj @ r[1]=a[1]*b[0]
- umull @acc[2],$t1,@acc[3],$bj
- adds @acc[1],@acc[1],$t3 @ accumulate high part of mult
- umull @acc[3],$t2,@acc[4],$bj
- adcs @acc[2],@acc[2],$t0
- umull @acc[4],$t3,@acc[5],$bj
- adcs @acc[3],@acc[3],$t1
- umull @acc[5],$t0,@acc[6],$bj
- adcs @acc[4],@acc[4],$t2
- umull @acc[6],$t1,@acc[7],$bj
- adcs @acc[5],@acc[5],$t3
- umull @acc[7],$t2,@acc[8],$bj
- adcs @acc[6],@acc[6],$t0
- adcs @acc[7],@acc[7],$t1
- eor $t3,$t3,$t3 @ first overflow bit is zero
- adc @acc[8],$t2,#0
- ___
- for(my $i=1;$i<8;$i++) {
- my $t4=@acc[0];
- # Reduction iteration is normally performed by accumulating
- # result of multiplication of modulus by "magic" digit [and
- # omitting least significant word, which is guaranteed to
- # be 0], but thanks to special form of modulus and "magic"
- # digit being equal to least significant word, it can be
- # performed with additions and subtractions alone. Indeed:
- #
- # ffff.0001.0000.0000.0000.ffff.ffff.ffff
- # * abcd
- # + xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.abcd
- #
- # Now observing that ff..ff*x = (2^n-1)*x = 2^n*x-x, we
- # rewrite above as:
- #
- # xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.abcd
- # + abcd.0000.abcd.0000.0000.abcd.0000.0000.0000
- # - abcd.0000.0000.0000.0000.0000.0000.abcd
- #
- # or marking redundant operations:
- #
- # xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.----
- # + abcd.0000.abcd.0000.0000.abcd.----.----.----
- # - abcd.----.----.----.----.----.----.----
- $code.=<<___;
- @ multiplication-less reduction $i
- adds @acc[3],@acc[3],@acc[0] @ r[3]+=r[0]
- ldr $bj,[sp,#40] @ restore b_ptr
- adcs @acc[4],@acc[4],#0 @ r[4]+=0
- adcs @acc[5],@acc[5],#0 @ r[5]+=0
- adcs @acc[6],@acc[6],@acc[0] @ r[6]+=r[0]
- ldr $t1,[sp,#0] @ load a[0]
- adcs @acc[7],@acc[7],#0 @ r[7]+=0
- ldr $bj,[$bj,#4*$i] @ load b[i]
- adcs @acc[8],@acc[8],@acc[0] @ r[8]+=r[0]
- eor $t0,$t0,$t0
- adc $t3,$t3,#0 @ overflow bit
- subs @acc[7],@acc[7],@acc[0] @ r[7]-=r[0]
- ldr $t2,[sp,#4] @ a[1]
- sbcs @acc[8],@acc[8],#0 @ r[8]-=0
- umlal @acc[1],$t0,$t1,$bj @ "r[0]"+=a[0]*b[i]
- eor $t1,$t1,$t1
- sbc @acc[0],$t3,#0 @ overflow bit, keep in mind
- @ that netto result is
- @ addition of a value which
- @ makes underflow impossible
- ldr $t3,[sp,#8] @ a[2]
- umlal @acc[2],$t1,$t2,$bj @ "r[1]"+=a[1]*b[i]
- str @acc[0],[sp,#36] @ temporarily offload overflow
- eor $t2,$t2,$t2
- ldr $t4,[sp,#12] @ a[3], $t4 is alias @acc[0]
- umlal @acc[3],$t2,$t3,$bj @ "r[2]"+=a[2]*b[i]
- eor $t3,$t3,$t3
- adds @acc[2],@acc[2],$t0 @ accumulate high part of mult
- ldr $t0,[sp,#16] @ a[4]
- umlal @acc[4],$t3,$t4,$bj @ "r[3]"+=a[3]*b[i]
- eor $t4,$t4,$t4
- adcs @acc[3],@acc[3],$t1
- ldr $t1,[sp,#20] @ a[5]
- umlal @acc[5],$t4,$t0,$bj @ "r[4]"+=a[4]*b[i]
- eor $t0,$t0,$t0
- adcs @acc[4],@acc[4],$t2
- ldr $t2,[sp,#24] @ a[6]
- umlal @acc[6],$t0,$t1,$bj @ "r[5]"+=a[5]*b[i]
- eor $t1,$t1,$t1
- adcs @acc[5],@acc[5],$t3
- ldr $t3,[sp,#28] @ a[7]
- umlal @acc[7],$t1,$t2,$bj @ "r[6]"+=a[6]*b[i]
- eor $t2,$t2,$t2
- adcs @acc[6],@acc[6],$t4
- ldr @acc[0],[sp,#36] @ restore overflow bit
- umlal @acc[8],$t2,$t3,$bj @ "r[7]"+=a[7]*b[i]
- eor $t3,$t3,$t3
- adcs @acc[7],@acc[7],$t0
- adcs @acc[8],@acc[8],$t1
- adcs @acc[0],$acc[0],$t2
- adc $t3,$t3,#0 @ new overflow bit
- ___
- push(@acc,shift(@acc)); # rotate registers, so that
- # "r[i]" becomes r[i]
- }
- $code.=<<___;
- @ last multiplication-less reduction
- adds @acc[3],@acc[3],@acc[0]
- ldr $r_ptr,[sp,#32] @ restore r_ptr
- adcs @acc[4],@acc[4],#0
- adcs @acc[5],@acc[5],#0
- adcs @acc[6],@acc[6],@acc[0]
- adcs @acc[7],@acc[7],#0
- adcs @acc[8],@acc[8],@acc[0]
- adc $t3,$t3,#0
- subs @acc[7],@acc[7],@acc[0]
- sbcs @acc[8],@acc[8],#0
- sbc @acc[0],$t3,#0 @ overflow bit
- @ Final step is "if result > mod, subtract mod", but we do it
- @ "other way around", namely subtract modulus from result
- @ and if it borrowed, add modulus back.
- adds @acc[1],@acc[1],#1 @ subs @acc[1],@acc[1],#-1
- adcs @acc[2],@acc[2],#0 @ sbcs @acc[2],@acc[2],#-1
- adcs @acc[3],@acc[3],#0 @ sbcs @acc[3],@acc[3],#-1
- sbcs @acc[4],@acc[4],#0
- sbcs @acc[5],@acc[5],#0
- sbcs @acc[6],@acc[6],#0
- sbcs @acc[7],@acc[7],#1
- adcs @acc[8],@acc[8],#0 @ sbcs @acc[8],@acc[8],#-1
- ldr lr,[sp,#44] @ restore lr
- sbc @acc[0],@acc[0],#0 @ broadcast borrow bit
- add sp,sp,#48
- @ Note that because mod has special form, i.e. consists of
- @ 0xffffffff, 1 and 0s, we can conditionally synthesize it by
- @ broadcasting borrow bit to a register, @acc[0], and using it as
- @ a whole or extracting single bit.
- adds @acc[1],@acc[1],@acc[0] @ add modulus or zero
- adcs @acc[2],@acc[2],@acc[0]
- str @acc[1],[$r_ptr,#0]
- adcs @acc[3],@acc[3],@acc[0]
- str @acc[2],[$r_ptr,#4]
- adcs @acc[4],@acc[4],#0
- str @acc[3],[$r_ptr,#8]
- adcs @acc[5],@acc[5],#0
- str @acc[4],[$r_ptr,#12]
- adcs @acc[6],@acc[6],#0
- str @acc[5],[$r_ptr,#16]
- adcs @acc[7],@acc[7],@acc[0],lsr#31
- str @acc[6],[$r_ptr,#20]
- adc @acc[8],@acc[8],@acc[0]
- str @acc[7],[$r_ptr,#24]
- str @acc[8],[$r_ptr,#28]
- mov pc,lr
- .size __ecp_nistz256_mul_mont,.-__ecp_nistz256_mul_mont
- ___
- }
- {
- my ($out,$inp,$index,$mask)=map("r$_",(0..3));
- $code.=<<___;
- @ void ecp_nistz256_scatter_w5(void *r0,const P256_POINT *r1,
- @ int r2);
- .globl ecp_nistz256_scatter_w5
- .type ecp_nistz256_scatter_w5,%function
- .align 5
- ecp_nistz256_scatter_w5:
- stmdb sp!,{r4-r11}
- add $out,$out,$index,lsl#2
- ldmia $inp!,{r4-r11} @ X
- str r4,[$out,#64*0-4]
- str r5,[$out,#64*1-4]
- str r6,[$out,#64*2-4]
- str r7,[$out,#64*3-4]
- str r8,[$out,#64*4-4]
- str r9,[$out,#64*5-4]
- str r10,[$out,#64*6-4]
- str r11,[$out,#64*7-4]
- add $out,$out,#64*8
- ldmia $inp!,{r4-r11} @ Y
- str r4,[$out,#64*0-4]
- str r5,[$out,#64*1-4]
- str r6,[$out,#64*2-4]
- str r7,[$out,#64*3-4]
- str r8,[$out,#64*4-4]
- str r9,[$out,#64*5-4]
- str r10,[$out,#64*6-4]
- str r11,[$out,#64*7-4]
- add $out,$out,#64*8
- ldmia $inp,{r4-r11} @ Z
- str r4,[$out,#64*0-4]
- str r5,[$out,#64*1-4]
- str r6,[$out,#64*2-4]
- str r7,[$out,#64*3-4]
- str r8,[$out,#64*4-4]
- str r9,[$out,#64*5-4]
- str r10,[$out,#64*6-4]
- str r11,[$out,#64*7-4]
- ldmia sp!,{r4-r11}
- #if __ARM_ARCH__>=5 || defined(__thumb__)
- bx lr
- #else
- mov pc,lr
- #endif
- .size ecp_nistz256_scatter_w5,.-ecp_nistz256_scatter_w5
- @ void ecp_nistz256_gather_w5(P256_POINT *r0,const void *r1,
- @ int r2);
- .globl ecp_nistz256_gather_w5
- .type ecp_nistz256_gather_w5,%function
- .align 5
- ecp_nistz256_gather_w5:
- stmdb sp!,{r4-r11}
- cmp $index,#0
- mov $mask,#0
- #ifdef __thumb2__
- itt ne
- #endif
- subne $index,$index,#1
- movne $mask,#-1
- add $inp,$inp,$index,lsl#2
- ldr r4,[$inp,#64*0]
- ldr r5,[$inp,#64*1]
- ldr r6,[$inp,#64*2]
- and r4,r4,$mask
- ldr r7,[$inp,#64*3]
- and r5,r5,$mask
- ldr r8,[$inp,#64*4]
- and r6,r6,$mask
- ldr r9,[$inp,#64*5]
- and r7,r7,$mask
- ldr r10,[$inp,#64*6]
- and r8,r8,$mask
- ldr r11,[$inp,#64*7]
- add $inp,$inp,#64*8
- and r9,r9,$mask
- and r10,r10,$mask
- and r11,r11,$mask
- stmia $out!,{r4-r11} @ X
- ldr r4,[$inp,#64*0]
- ldr r5,[$inp,#64*1]
- ldr r6,[$inp,#64*2]
- and r4,r4,$mask
- ldr r7,[$inp,#64*3]
- and r5,r5,$mask
- ldr r8,[$inp,#64*4]
- and r6,r6,$mask
- ldr r9,[$inp,#64*5]
- and r7,r7,$mask
- ldr r10,[$inp,#64*6]
- and r8,r8,$mask
- ldr r11,[$inp,#64*7]
- add $inp,$inp,#64*8
- and r9,r9,$mask
- and r10,r10,$mask
- and r11,r11,$mask
- stmia $out!,{r4-r11} @ Y
- ldr r4,[$inp,#64*0]
- ldr r5,[$inp,#64*1]
- ldr r6,[$inp,#64*2]
- and r4,r4,$mask
- ldr r7,[$inp,#64*3]
- and r5,r5,$mask
- ldr r8,[$inp,#64*4]
- and r6,r6,$mask
- ldr r9,[$inp,#64*5]
- and r7,r7,$mask
- ldr r10,[$inp,#64*6]
- and r8,r8,$mask
- ldr r11,[$inp,#64*7]
- and r9,r9,$mask
- and r10,r10,$mask
- and r11,r11,$mask
- stmia $out,{r4-r11} @ Z
- ldmia sp!,{r4-r11}
- #if __ARM_ARCH__>=5 || defined(__thumb__)
- bx lr
- #else
- mov pc,lr
- #endif
- .size ecp_nistz256_gather_w5,.-ecp_nistz256_gather_w5
- @ void ecp_nistz256_scatter_w7(void *r0,const P256_POINT_AFFINE *r1,
- @ int r2);
- .globl ecp_nistz256_scatter_w7
- .type ecp_nistz256_scatter_w7,%function
- .align 5
- ecp_nistz256_scatter_w7:
- add $out,$out,$index
- mov $index,#64/4
- .Loop_scatter_w7:
- ldr $mask,[$inp],#4
- subs $index,$index,#1
- strb $mask,[$out,#64*0]
- mov $mask,$mask,lsr#8
- strb $mask,[$out,#64*1]
- mov $mask,$mask,lsr#8
- strb $mask,[$out,#64*2]
- mov $mask,$mask,lsr#8
- strb $mask,[$out,#64*3]
- add $out,$out,#64*4
- bne .Loop_scatter_w7
- #if __ARM_ARCH__>=5 || defined(__thumb__)
- bx lr
- #else
- mov pc,lr
- #endif
- .size ecp_nistz256_scatter_w7,.-ecp_nistz256_scatter_w7
- @ void ecp_nistz256_gather_w7(P256_POINT_AFFINE *r0,const void *r1,
- @ int r2);
- .globl ecp_nistz256_gather_w7
- .type ecp_nistz256_gather_w7,%function
- .align 5
- ecp_nistz256_gather_w7:
- stmdb sp!,{r4-r7}
- cmp $index,#0
- mov $mask,#0
- #ifdef __thumb2__
- itt ne
- #endif
- subne $index,$index,#1
- movne $mask,#-1
- add $inp,$inp,$index
- mov $index,#64/4
- nop
- .Loop_gather_w7:
- ldrb r4,[$inp,#64*0]
- subs $index,$index,#1
- ldrb r5,[$inp,#64*1]
- ldrb r6,[$inp,#64*2]
- ldrb r7,[$inp,#64*3]
- add $inp,$inp,#64*4
- orr r4,r4,r5,lsl#8
- orr r4,r4,r6,lsl#16
- orr r4,r4,r7,lsl#24
- and r4,r4,$mask
- str r4,[$out],#4
- bne .Loop_gather_w7
- ldmia sp!,{r4-r7}
- #if __ARM_ARCH__>=5 || defined(__thumb__)
- bx lr
- #else
- mov pc,lr
- #endif
- .size ecp_nistz256_gather_w7,.-ecp_nistz256_gather_w7
- ___
- }
- if (0) {
- # In comparison to integer-only equivalent of below subroutine:
- #
- # Cortex-A8 +10%
- # Cortex-A9 -10%
- # Snapdragon S4 +5%
- #
- # As not all time is spent in multiplication, overall impact is deemed
- # too low to care about.
- my ($A0,$A1,$A2,$A3,$Bi,$zero,$temp)=map("d$_",(0..7));
- my $mask="q4";
- my $mult="q5";
- my @AxB=map("q$_",(8..15));
- my ($rptr,$aptr,$bptr,$toutptr)=map("r$_",(0..3));
- $code.=<<___;
- #if __ARM_ARCH__>=7
- .fpu neon
- .globl ecp_nistz256_mul_mont_neon
- .type ecp_nistz256_mul_mont_neon,%function
- .align 5
- ecp_nistz256_mul_mont_neon:
- mov ip,sp
- stmdb sp!,{r4-r9}
- vstmdb sp!,{q4-q5} @ ABI specification says so
- sub $toutptr,sp,#40
- vld1.32 {${Bi}[0]},[$bptr,:32]!
- veor $zero,$zero,$zero
- vld1.32 {$A0-$A3}, [$aptr] @ can't specify :32 :-(
- vzip.16 $Bi,$zero
- mov sp,$toutptr @ alloca
- vmov.i64 $mask,#0xffff
- vmull.u32 @AxB[0],$Bi,${A0}[0]
- vmull.u32 @AxB[1],$Bi,${A0}[1]
- vmull.u32 @AxB[2],$Bi,${A1}[0]
- vmull.u32 @AxB[3],$Bi,${A1}[1]
- vshr.u64 $temp,@AxB[0]#lo,#16
- vmull.u32 @AxB[4],$Bi,${A2}[0]
- vadd.u64 @AxB[0]#hi,@AxB[0]#hi,$temp
- vmull.u32 @AxB[5],$Bi,${A2}[1]
- vshr.u64 $temp,@AxB[0]#hi,#16 @ upper 32 bits of a[0]*b[0]
- vmull.u32 @AxB[6],$Bi,${A3}[0]
- vand.u64 @AxB[0],@AxB[0],$mask @ lower 32 bits of a[0]*b[0]
- vmull.u32 @AxB[7],$Bi,${A3}[1]
- ___
- for($i=1;$i<8;$i++) {
- $code.=<<___;
- vld1.32 {${Bi}[0]},[$bptr,:32]!
- veor $zero,$zero,$zero
- vadd.u64 @AxB[1]#lo,@AxB[1]#lo,$temp @ reduction
- vshl.u64 $mult,@AxB[0],#32
- vadd.u64 @AxB[3],@AxB[3],@AxB[0]
- vsub.u64 $mult,$mult,@AxB[0]
- vzip.16 $Bi,$zero
- vadd.u64 @AxB[6],@AxB[6],@AxB[0]
- vadd.u64 @AxB[7],@AxB[7],$mult
- ___
- push(@AxB,shift(@AxB));
- $code.=<<___;
- vmlal.u32 @AxB[0],$Bi,${A0}[0]
- vmlal.u32 @AxB[1],$Bi,${A0}[1]
- vmlal.u32 @AxB[2],$Bi,${A1}[0]
- vmlal.u32 @AxB[3],$Bi,${A1}[1]
- vshr.u64 $temp,@AxB[0]#lo,#16
- vmlal.u32 @AxB[4],$Bi,${A2}[0]
- vadd.u64 @AxB[0]#hi,@AxB[0]#hi,$temp
- vmlal.u32 @AxB[5],$Bi,${A2}[1]
- vshr.u64 $temp,@AxB[0]#hi,#16 @ upper 33 bits of a[0]*b[i]+t[0]
- vmlal.u32 @AxB[6],$Bi,${A3}[0]
- vand.u64 @AxB[0],@AxB[0],$mask @ lower 32 bits of a[0]*b[0]
- vmull.u32 @AxB[7],$Bi,${A3}[1]
- ___
- }
- $code.=<<___;
- vadd.u64 @AxB[1]#lo,@AxB[1]#lo,$temp @ last reduction
- vshl.u64 $mult,@AxB[0],#32
- vadd.u64 @AxB[3],@AxB[3],@AxB[0]
- vsub.u64 $mult,$mult,@AxB[0]
- vadd.u64 @AxB[6],@AxB[6],@AxB[0]
- vadd.u64 @AxB[7],@AxB[7],$mult
- vshr.u64 $temp,@AxB[1]#lo,#16 @ convert
- vadd.u64 @AxB[1]#hi,@AxB[1]#hi,$temp
- vshr.u64 $temp,@AxB[1]#hi,#16
- vzip.16 @AxB[1]#lo,@AxB[1]#hi
- ___
- foreach (2..7) {
- $code.=<<___;
- vadd.u64 @AxB[$_]#lo,@AxB[$_]#lo,$temp
- vst1.32 {@AxB[$_-1]#lo[0]},[$toutptr,:32]!
- vshr.u64 $temp,@AxB[$_]#lo,#16
- vadd.u64 @AxB[$_]#hi,@AxB[$_]#hi,$temp
- vshr.u64 $temp,@AxB[$_]#hi,#16
- vzip.16 @AxB[$_]#lo,@AxB[$_]#hi
- ___
- }
- $code.=<<___;
- vst1.32 {@AxB[7]#lo[0]},[$toutptr,:32]!
- vst1.32 {$temp},[$toutptr] @ upper 33 bits
- ldr r1,[sp,#0]
- ldr r2,[sp,#4]
- ldr r3,[sp,#8]
- subs r1,r1,#-1
- ldr r4,[sp,#12]
- sbcs r2,r2,#-1
- ldr r5,[sp,#16]
- sbcs r3,r3,#-1
- ldr r6,[sp,#20]
- sbcs r4,r4,#0
- ldr r7,[sp,#24]
- sbcs r5,r5,#0
- ldr r8,[sp,#28]
- sbcs r6,r6,#0
- ldr r9,[sp,#32] @ top-most bit
- sbcs r7,r7,#1
- sub sp,ip,#40+16
- sbcs r8,r8,#-1
- sbc r9,r9,#0
- vldmia sp!,{q4-q5}
- adds r1,r1,r9
- adcs r2,r2,r9
- str r1,[$rptr,#0]
- adcs r3,r3,r9
- str r2,[$rptr,#4]
- adcs r4,r4,#0
- str r3,[$rptr,#8]
- adcs r5,r5,#0
- str r4,[$rptr,#12]
- adcs r6,r6,#0
- str r5,[$rptr,#16]
- adcs r7,r7,r9,lsr#31
- str r6,[$rptr,#20]
- adcs r8,r8,r9
- str r7,[$rptr,#24]
- str r8,[$rptr,#28]
- ldmia sp!,{r4-r9}
- bx lr
- .size ecp_nistz256_mul_mont_neon,.-ecp_nistz256_mul_mont_neon
- #endif
- ___
- }
- {{{
- ########################################################################
- # Below $aN assignment matches order in which 256-bit result appears in
- # register bank at return from __ecp_nistz256_mul_mont, so that we can
- # skip over reloading it from memory. This means that below functions
- # use custom calling sequence accepting 256-bit input in registers,
- # output pointer in r0, $r_ptr, and optional pointer in r2, $b_ptr.
- #
- # See their "normal" counterparts for insights on calculations.
- my ($a0,$a1,$a2,$a3,$a4,$a5,$a6,$a7,
- $t0,$t1,$t2,$t3)=map("r$_",(11,3..10,12,14,1));
- my $ff=$b_ptr;
- $code.=<<___;
- .type __ecp_nistz256_sub_from,%function
- .align 5
- __ecp_nistz256_sub_from:
- str lr,[sp,#-4]! @ push lr
- ldr $t0,[$b_ptr,#0]
- ldr $t1,[$b_ptr,#4]
- ldr $t2,[$b_ptr,#8]
- ldr $t3,[$b_ptr,#12]
- subs $a0,$a0,$t0
- ldr $t0,[$b_ptr,#16]
- sbcs $a1,$a1,$t1
- ldr $t1,[$b_ptr,#20]
- sbcs $a2,$a2,$t2
- ldr $t2,[$b_ptr,#24]
- sbcs $a3,$a3,$t3
- ldr $t3,[$b_ptr,#28]
- sbcs $a4,$a4,$t0
- sbcs $a5,$a5,$t1
- sbcs $a6,$a6,$t2
- sbcs $a7,$a7,$t3
- sbc $ff,$ff,$ff @ broadcast borrow bit
- ldr lr,[sp],#4 @ pop lr
- adds $a0,$a0,$ff @ add synthesized modulus
- adcs $a1,$a1,$ff
- str $a0,[$r_ptr,#0]
- adcs $a2,$a2,$ff
- str $a1,[$r_ptr,#4]
- adcs $a3,$a3,#0
- str $a2,[$r_ptr,#8]
- adcs $a4,$a4,#0
- str $a3,[$r_ptr,#12]
- adcs $a5,$a5,#0
- str $a4,[$r_ptr,#16]
- adcs $a6,$a6,$ff,lsr#31
- str $a5,[$r_ptr,#20]
- adcs $a7,$a7,$ff
- str $a6,[$r_ptr,#24]
- str $a7,[$r_ptr,#28]
- mov pc,lr
- .size __ecp_nistz256_sub_from,.-__ecp_nistz256_sub_from
- .type __ecp_nistz256_sub_morf,%function
- .align 5
- __ecp_nistz256_sub_morf:
- str lr,[sp,#-4]! @ push lr
- ldr $t0,[$b_ptr,#0]
- ldr $t1,[$b_ptr,#4]
- ldr $t2,[$b_ptr,#8]
- ldr $t3,[$b_ptr,#12]
- subs $a0,$t0,$a0
- ldr $t0,[$b_ptr,#16]
- sbcs $a1,$t1,$a1
- ldr $t1,[$b_ptr,#20]
- sbcs $a2,$t2,$a2
- ldr $t2,[$b_ptr,#24]
- sbcs $a3,$t3,$a3
- ldr $t3,[$b_ptr,#28]
- sbcs $a4,$t0,$a4
- sbcs $a5,$t1,$a5
- sbcs $a6,$t2,$a6
- sbcs $a7,$t3,$a7
- sbc $ff,$ff,$ff @ broadcast borrow bit
- ldr lr,[sp],#4 @ pop lr
- adds $a0,$a0,$ff @ add synthesized modulus
- adcs $a1,$a1,$ff
- str $a0,[$r_ptr,#0]
- adcs $a2,$a2,$ff
- str $a1,[$r_ptr,#4]
- adcs $a3,$a3,#0
- str $a2,[$r_ptr,#8]
- adcs $a4,$a4,#0
- str $a3,[$r_ptr,#12]
- adcs $a5,$a5,#0
- str $a4,[$r_ptr,#16]
- adcs $a6,$a6,$ff,lsr#31
- str $a5,[$r_ptr,#20]
- adcs $a7,$a7,$ff
- str $a6,[$r_ptr,#24]
- str $a7,[$r_ptr,#28]
- mov pc,lr
- .size __ecp_nistz256_sub_morf,.-__ecp_nistz256_sub_morf
- .type __ecp_nistz256_add_self,%function
- .align 4
- __ecp_nistz256_add_self:
- adds $a0,$a0,$a0 @ a[0:7]+=a[0:7]
- adcs $a1,$a1,$a1
- adcs $a2,$a2,$a2
- adcs $a3,$a3,$a3
- adcs $a4,$a4,$a4
- adcs $a5,$a5,$a5
- adcs $a6,$a6,$a6
- mov $ff,#0
- adcs $a7,$a7,$a7
- adc $ff,$ff,#0
- @ if a+b >= modulus, subtract modulus.
- @
- @ But since comparison implies subtraction, we subtract
- @ modulus and then add it back if subtraction borrowed.
- subs $a0,$a0,#-1
- sbcs $a1,$a1,#-1
- sbcs $a2,$a2,#-1
- sbcs $a3,$a3,#0
- sbcs $a4,$a4,#0
- sbcs $a5,$a5,#0
- sbcs $a6,$a6,#1
- sbcs $a7,$a7,#-1
- sbc $ff,$ff,#0
- @ Note that because mod has special form, i.e. consists of
- @ 0xffffffff, 1 and 0s, we can conditionally synthesize it by
- @ using value of borrow as a whole or extracting single bit.
- @ Follow $ff register...
- adds $a0,$a0,$ff @ add synthesized modulus
- adcs $a1,$a1,$ff
- str $a0,[$r_ptr,#0]
- adcs $a2,$a2,$ff
- str $a1,[$r_ptr,#4]
- adcs $a3,$a3,#0
- str $a2,[$r_ptr,#8]
- adcs $a4,$a4,#0
- str $a3,[$r_ptr,#12]
- adcs $a5,$a5,#0
- str $a4,[$r_ptr,#16]
- adcs $a6,$a6,$ff,lsr#31
- str $a5,[$r_ptr,#20]
- adcs $a7,$a7,$ff
- str $a6,[$r_ptr,#24]
- str $a7,[$r_ptr,#28]
- mov pc,lr
- .size __ecp_nistz256_add_self,.-__ecp_nistz256_add_self
- ___
- ########################################################################
- # following subroutines are "literal" implementation of those found in
- # ecp_nistz256.c
- #
- ########################################################################
- # void ecp_nistz256_point_double(P256_POINT *out,const P256_POINT *inp);
- #
- {
- my ($S,$M,$Zsqr,$in_x,$tmp0)=map(32*$_,(0..4));
- # above map() describes stack layout with 5 temporary
- # 256-bit vectors on top. Then note that we push
- # starting from r0, which means that we have copy of
- # input arguments just below these temporary vectors.
- $code.=<<___;
- .globl ecp_nistz256_point_double
- .type ecp_nistz256_point_double,%function
- .align 5
- ecp_nistz256_point_double:
- stmdb sp!,{r0-r12,lr} @ push from r0, unusual, but intentional
- sub sp,sp,#32*5
- .Lpoint_double_shortcut:
- add r3,sp,#$in_x
- ldmia $a_ptr!,{r4-r11} @ copy in_x
- stmia r3,{r4-r11}
- add $r_ptr,sp,#$S
- bl __ecp_nistz256_mul_by_2 @ p256_mul_by_2(S, in_y);
- add $b_ptr,$a_ptr,#32
- add $a_ptr,$a_ptr,#32
- add $r_ptr,sp,#$Zsqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Zsqr, in_z);
- add $a_ptr,sp,#$S
- add $b_ptr,sp,#$S
- add $r_ptr,sp,#$S
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(S, S);
- ldr $b_ptr,[sp,#32*5+4]
- add $a_ptr,$b_ptr,#32
- add $b_ptr,$b_ptr,#64
- add $r_ptr,sp,#$tmp0
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(tmp0, in_z, in_y);
- ldr $r_ptr,[sp,#32*5]
- add $r_ptr,$r_ptr,#64
- bl __ecp_nistz256_add_self @ p256_mul_by_2(res_z, tmp0);
- add $a_ptr,sp,#$in_x
- add $b_ptr,sp,#$Zsqr
- add $r_ptr,sp,#$M
- bl __ecp_nistz256_add @ p256_add(M, in_x, Zsqr);
- add $a_ptr,sp,#$in_x
- add $b_ptr,sp,#$Zsqr
- add $r_ptr,sp,#$Zsqr
- bl __ecp_nistz256_sub @ p256_sub(Zsqr, in_x, Zsqr);
- add $a_ptr,sp,#$S
- add $b_ptr,sp,#$S
- add $r_ptr,sp,#$tmp0
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(tmp0, S);
- add $a_ptr,sp,#$Zsqr
- add $b_ptr,sp,#$M
- add $r_ptr,sp,#$M
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(M, M, Zsqr);
- ldr $r_ptr,[sp,#32*5]
- add $a_ptr,sp,#$tmp0
- add $r_ptr,$r_ptr,#32
- bl __ecp_nistz256_div_by_2 @ p256_div_by_2(res_y, tmp0);
- add $a_ptr,sp,#$M
- add $r_ptr,sp,#$M
- bl __ecp_nistz256_mul_by_3 @ p256_mul_by_3(M, M);
- add $a_ptr,sp,#$in_x
- add $b_ptr,sp,#$S
- add $r_ptr,sp,#$S
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S, S, in_x);
- add $r_ptr,sp,#$tmp0
- bl __ecp_nistz256_add_self @ p256_mul_by_2(tmp0, S);
- ldr $r_ptr,[sp,#32*5]
- add $a_ptr,sp,#$M
- add $b_ptr,sp,#$M
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(res_x, M);
- add $b_ptr,sp,#$tmp0
- bl __ecp_nistz256_sub_from @ p256_sub(res_x, res_x, tmp0);
- add $b_ptr,sp,#$S
- add $r_ptr,sp,#$S
- bl __ecp_nistz256_sub_morf @ p256_sub(S, S, res_x);
- add $a_ptr,sp,#$M
- add $b_ptr,sp,#$S
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S, S, M);
- ldr $r_ptr,[sp,#32*5]
- add $b_ptr,$r_ptr,#32
- add $r_ptr,$r_ptr,#32
- bl __ecp_nistz256_sub_from @ p256_sub(res_y, S, res_y);
- add sp,sp,#32*5+16 @ +16 means "skip even over saved r0-r3"
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_point_double,.-ecp_nistz256_point_double
- ___
- }
- ########################################################################
- # void ecp_nistz256_point_add(P256_POINT *out,const P256_POINT *in1,
- # const P256_POINT *in2);
- {
- my ($res_x,$res_y,$res_z,
- $in1_x,$in1_y,$in1_z,
- $in2_x,$in2_y,$in2_z,
- $H,$Hsqr,$R,$Rsqr,$Hcub,
- $U1,$U2,$S1,$S2)=map(32*$_,(0..17));
- my ($Z1sqr, $Z2sqr) = ($Hsqr, $Rsqr);
- # above map() describes stack layout with 18 temporary
- # 256-bit vectors on top. Then note that we push
- # starting from r0, which means that we have copy of
- # input arguments just below these temporary vectors.
- # We use three of them for ~in1infty, ~in2infty and
- # result of check for zero.
- $code.=<<___;
- .globl ecp_nistz256_point_add
- .type ecp_nistz256_point_add,%function
- .align 5
- ecp_nistz256_point_add:
- stmdb sp!,{r0-r12,lr} @ push from r0, unusual, but intentional
- sub sp,sp,#32*18+16
- ldmia $b_ptr!,{r4-r11} @ copy in2_x
- add r3,sp,#$in2_x
- stmia r3!,{r4-r11}
- ldmia $b_ptr!,{r4-r11} @ copy in2_y
- stmia r3!,{r4-r11}
- ldmia $b_ptr,{r4-r11} @ copy in2_z
- orr r12,r4,r5
- orr r12,r12,r6
- orr r12,r12,r7
- orr r12,r12,r8
- orr r12,r12,r9
- orr r12,r12,r10
- orr r12,r12,r11
- cmp r12,#0
- #ifdef __thumb2__
- it ne
- #endif
- movne r12,#-1
- stmia r3,{r4-r11}
- str r12,[sp,#32*18+8] @ ~in2infty
- ldmia $a_ptr!,{r4-r11} @ copy in1_x
- add r3,sp,#$in1_x
- stmia r3!,{r4-r11}
- ldmia $a_ptr!,{r4-r11} @ copy in1_y
- stmia r3!,{r4-r11}
- ldmia $a_ptr,{r4-r11} @ copy in1_z
- orr r12,r4,r5
- orr r12,r12,r6
- orr r12,r12,r7
- orr r12,r12,r8
- orr r12,r12,r9
- orr r12,r12,r10
- orr r12,r12,r11
- cmp r12,#0
- #ifdef __thumb2__
- it ne
- #endif
- movne r12,#-1
- stmia r3,{r4-r11}
- str r12,[sp,#32*18+4] @ ~in1infty
- add $a_ptr,sp,#$in2_z
- add $b_ptr,sp,#$in2_z
- add $r_ptr,sp,#$Z2sqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Z2sqr, in2_z);
- add $a_ptr,sp,#$in1_z
- add $b_ptr,sp,#$in1_z
- add $r_ptr,sp,#$Z1sqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Z1sqr, in1_z);
- add $a_ptr,sp,#$in2_z
- add $b_ptr,sp,#$Z2sqr
- add $r_ptr,sp,#$S1
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S1, Z2sqr, in2_z);
- add $a_ptr,sp,#$in1_z
- add $b_ptr,sp,#$Z1sqr
- add $r_ptr,sp,#$S2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S2, Z1sqr, in1_z);
- add $a_ptr,sp,#$in1_y
- add $b_ptr,sp,#$S1
- add $r_ptr,sp,#$S1
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S1, S1, in1_y);
- add $a_ptr,sp,#$in2_y
- add $b_ptr,sp,#$S2
- add $r_ptr,sp,#$S2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S2, S2, in2_y);
- add $b_ptr,sp,#$S1
- add $r_ptr,sp,#$R
- bl __ecp_nistz256_sub_from @ p256_sub(R, S2, S1);
- orr $a0,$a0,$a1 @ see if result is zero
- orr $a2,$a2,$a3
- orr $a4,$a4,$a5
- orr $a0,$a0,$a2
- orr $a4,$a4,$a6
- orr $a0,$a0,$a7
- add $a_ptr,sp,#$in1_x
- orr $a0,$a0,$a4
- add $b_ptr,sp,#$Z2sqr
- str $a0,[sp,#32*18+12]
- add $r_ptr,sp,#$U1
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(U1, in1_x, Z2sqr);
- add $a_ptr,sp,#$in2_x
- add $b_ptr,sp,#$Z1sqr
- add $r_ptr,sp,#$U2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(U2, in2_x, Z1sqr);
- add $b_ptr,sp,#$U1
- add $r_ptr,sp,#$H
- bl __ecp_nistz256_sub_from @ p256_sub(H, U2, U1);
- orr $a0,$a0,$a1 @ see if result is zero
- orr $a2,$a2,$a3
- orr $a4,$a4,$a5
- orr $a0,$a0,$a2
- orr $a4,$a4,$a6
- orr $a0,$a0,$a7
- orr $a0,$a0,$a4 @ ~is_equal(U1,U2)
- ldr $t0,[sp,#32*18+4] @ ~in1infty
- ldr $t1,[sp,#32*18+8] @ ~in2infty
- ldr $t2,[sp,#32*18+12] @ ~is_equal(S1,S2)
- mvn $t0,$t0 @ -1/0 -> 0/-1
- mvn $t1,$t1 @ -1/0 -> 0/-1
- orr $a0,$a0,$t0
- orr $a0,$a0,$t1
- orrs $a0,$a0,$t2 @ set flags
- @ if(~is_equal(U1,U2) | in1infty | in2infty | ~is_equal(S1,S2))
- bne .Ladd_proceed
- .Ladd_double:
- ldr $a_ptr,[sp,#32*18+20]
- add sp,sp,#32*(18-5)+16 @ difference in frame sizes
- b .Lpoint_double_shortcut
- .align 4
- .Ladd_proceed:
- add $a_ptr,sp,#$R
- add $b_ptr,sp,#$R
- add $r_ptr,sp,#$Rsqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Rsqr, R);
- add $a_ptr,sp,#$H
- add $b_ptr,sp,#$in1_z
- add $r_ptr,sp,#$res_z
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(res_z, H, in1_z);
- add $a_ptr,sp,#$H
- add $b_ptr,sp,#$H
- add $r_ptr,sp,#$Hsqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Hsqr, H);
- add $a_ptr,sp,#$in2_z
- add $b_ptr,sp,#$res_z
- add $r_ptr,sp,#$res_z
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(res_z, res_z, in2_z);
- add $a_ptr,sp,#$H
- add $b_ptr,sp,#$Hsqr
- add $r_ptr,sp,#$Hcub
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(Hcub, Hsqr, H);
- add $a_ptr,sp,#$Hsqr
- add $b_ptr,sp,#$U1
- add $r_ptr,sp,#$U2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(U2, U1, Hsqr);
- add $r_ptr,sp,#$Hsqr
- bl __ecp_nistz256_add_self @ p256_mul_by_2(Hsqr, U2);
- add $b_ptr,sp,#$Rsqr
- add $r_ptr,sp,#$res_x
- bl __ecp_nistz256_sub_morf @ p256_sub(res_x, Rsqr, Hsqr);
- add $b_ptr,sp,#$Hcub
- bl __ecp_nistz256_sub_from @ p256_sub(res_x, res_x, Hcub);
- add $b_ptr,sp,#$U2
- add $r_ptr,sp,#$res_y
- bl __ecp_nistz256_sub_morf @ p256_sub(res_y, U2, res_x);
- add $a_ptr,sp,#$Hcub
- add $b_ptr,sp,#$S1
- add $r_ptr,sp,#$S2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S2, S1, Hcub);
- add $a_ptr,sp,#$R
- add $b_ptr,sp,#$res_y
- add $r_ptr,sp,#$res_y
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(res_y, res_y, R);
- add $b_ptr,sp,#$S2
- bl __ecp_nistz256_sub_from @ p256_sub(res_y, res_y, S2);
- ldr r11,[sp,#32*18+4] @ ~in1infty
- ldr r12,[sp,#32*18+8] @ ~in2infty
- add r1,sp,#$res_x
- add r2,sp,#$in2_x
- and r10,r11,r12 @ ~in1infty & ~in2infty
- mvn r11,r11
- add r3,sp,#$in1_x
- and r11,r11,r12 @ in1infty & ~in2infty
- mvn r12,r12 @ in2infty
- ldr $r_ptr,[sp,#32*18+16]
- ___
- for($i=0;$i<96;$i+=8) { # conditional moves
- $code.=<<___;
- ldmia r1!,{r4-r5} @ res_x
- ldmia r2!,{r6-r7} @ in2_x
- ldmia r3!,{r8-r9} @ in1_x
- and r4,r4,r10 @ ~in1infty & ~in2infty
- and r5,r5,r10
- and r6,r6,r11 @ in1infty & ~in2infty
- and r7,r7,r11
- and r8,r8,r12 @ in2infty
- and r9,r9,r12
- orr r4,r4,r6
- orr r5,r5,r7
- orr r4,r4,r8
- orr r5,r5,r9
- stmia $r_ptr!,{r4-r5}
- ___
- }
- $code.=<<___;
- .Ladd_done:
- add sp,sp,#32*18+16+16 @ +16 means "skip even over saved r0-r3"
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_point_add,.-ecp_nistz256_point_add
- ___
- }
- ########################################################################
- # void ecp_nistz256_point_add_affine(P256_POINT *out,const P256_POINT *in1,
- # const P256_POINT_AFFINE *in2);
- {
- my ($res_x,$res_y,$res_z,
- $in1_x,$in1_y,$in1_z,
- $in2_x,$in2_y,
- $U2,$S2,$H,$R,$Hsqr,$Hcub,$Rsqr)=map(32*$_,(0..14));
- my $Z1sqr = $S2;
- # above map() describes stack layout with 18 temporary
- # 256-bit vectors on top. Then note that we push
- # starting from r0, which means that we have copy of
- # input arguments just below these temporary vectors.
- # We use two of them for ~in1infty, ~in2infty.
- my @ONE_mont=(1,0,0,-1,-1,-1,-2,0);
- $code.=<<___;
- .globl ecp_nistz256_point_add_affine
- .type ecp_nistz256_point_add_affine,%function
- .align 5
- ecp_nistz256_point_add_affine:
- stmdb sp!,{r0-r12,lr} @ push from r0, unusual, but intentional
- sub sp,sp,#32*15
- ldmia $a_ptr!,{r4-r11} @ copy in1_x
- add r3,sp,#$in1_x
- stmia r3!,{r4-r11}
- ldmia $a_ptr!,{r4-r11} @ copy in1_y
- stmia r3!,{r4-r11}
- ldmia $a_ptr,{r4-r11} @ copy in1_z
- orr r12,r4,r5
- orr r12,r12,r6
- orr r12,r12,r7
- orr r12,r12,r8
- orr r12,r12,r9
- orr r12,r12,r10
- orr r12,r12,r11
- cmp r12,#0
- #ifdef __thumb2__
- it ne
- #endif
- movne r12,#-1
- stmia r3,{r4-r11}
- str r12,[sp,#32*15+4] @ ~in1infty
- ldmia $b_ptr!,{r4-r11} @ copy in2_x
- add r3,sp,#$in2_x
- orr r12,r4,r5
- orr r12,r12,r6
- orr r12,r12,r7
- orr r12,r12,r8
- orr r12,r12,r9
- orr r12,r12,r10
- orr r12,r12,r11
- stmia r3!,{r4-r11}
- ldmia $b_ptr!,{r4-r11} @ copy in2_y
- orr r12,r12,r4
- orr r12,r12,r5
- orr r12,r12,r6
- orr r12,r12,r7
- orr r12,r12,r8
- orr r12,r12,r9
- orr r12,r12,r10
- orr r12,r12,r11
- stmia r3!,{r4-r11}
- cmp r12,#0
- #ifdef __thumb2__
- it ne
- #endif
- movne r12,#-1
- str r12,[sp,#32*15+8] @ ~in2infty
- add $a_ptr,sp,#$in1_z
- add $b_ptr,sp,#$in1_z
- add $r_ptr,sp,#$Z1sqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Z1sqr, in1_z);
- add $a_ptr,sp,#$Z1sqr
- add $b_ptr,sp,#$in2_x
- add $r_ptr,sp,#$U2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(U2, Z1sqr, in2_x);
- add $b_ptr,sp,#$in1_x
- add $r_ptr,sp,#$H
- bl __ecp_nistz256_sub_from @ p256_sub(H, U2, in1_x);
- add $a_ptr,sp,#$Z1sqr
- add $b_ptr,sp,#$in1_z
- add $r_ptr,sp,#$S2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S2, Z1sqr, in1_z);
- add $a_ptr,sp,#$H
- add $b_ptr,sp,#$in1_z
- add $r_ptr,sp,#$res_z
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(res_z, H, in1_z);
- add $a_ptr,sp,#$in2_y
- add $b_ptr,sp,#$S2
- add $r_ptr,sp,#$S2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S2, S2, in2_y);
- add $b_ptr,sp,#$in1_y
- add $r_ptr,sp,#$R
- bl __ecp_nistz256_sub_from @ p256_sub(R, S2, in1_y);
- add $a_ptr,sp,#$H
- add $b_ptr,sp,#$H
- add $r_ptr,sp,#$Hsqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Hsqr, H);
- add $a_ptr,sp,#$R
- add $b_ptr,sp,#$R
- add $r_ptr,sp,#$Rsqr
- bl __ecp_nistz256_mul_mont @ p256_sqr_mont(Rsqr, R);
- add $a_ptr,sp,#$H
- add $b_ptr,sp,#$Hsqr
- add $r_ptr,sp,#$Hcub
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(Hcub, Hsqr, H);
- add $a_ptr,sp,#$Hsqr
- add $b_ptr,sp,#$in1_x
- add $r_ptr,sp,#$U2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(U2, in1_x, Hsqr);
- add $r_ptr,sp,#$Hsqr
- bl __ecp_nistz256_add_self @ p256_mul_by_2(Hsqr, U2);
- add $b_ptr,sp,#$Rsqr
- add $r_ptr,sp,#$res_x
- bl __ecp_nistz256_sub_morf @ p256_sub(res_x, Rsqr, Hsqr);
- add $b_ptr,sp,#$Hcub
- bl __ecp_nistz256_sub_from @ p256_sub(res_x, res_x, Hcub);
- add $b_ptr,sp,#$U2
- add $r_ptr,sp,#$res_y
- bl __ecp_nistz256_sub_morf @ p256_sub(res_y, U2, res_x);
- add $a_ptr,sp,#$Hcub
- add $b_ptr,sp,#$in1_y
- add $r_ptr,sp,#$S2
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(S2, in1_y, Hcub);
- add $a_ptr,sp,#$R
- add $b_ptr,sp,#$res_y
- add $r_ptr,sp,#$res_y
- bl __ecp_nistz256_mul_mont @ p256_mul_mont(res_y, res_y, R);
- add $b_ptr,sp,#$S2
- bl __ecp_nistz256_sub_from @ p256_sub(res_y, res_y, S2);
- ldr r11,[sp,#32*15+4] @ ~in1infty
- ldr r12,[sp,#32*15+8] @ ~in2infty
- add r1,sp,#$res_x
- add r2,sp,#$in2_x
- and r10,r11,r12 @ ~in1infty & ~in2infty
- mvn r11,r11
- add r3,sp,#$in1_x
- and r11,r11,r12 @ in1infty & ~in2infty
- mvn r12,r12 @ in2infty
- ldr $r_ptr,[sp,#32*15]
- ___
- for($i=0;$i<64;$i+=8) { # conditional moves
- $code.=<<___;
- ldmia r1!,{r4-r5} @ res_x
- ldmia r2!,{r6-r7} @ in2_x
- ldmia r3!,{r8-r9} @ in1_x
- and r4,r4,r10 @ ~in1infty & ~in2infty
- and r5,r5,r10
- and r6,r6,r11 @ in1infty & ~in2infty
- and r7,r7,r11
- and r8,r8,r12 @ in2infty
- and r9,r9,r12
- orr r4,r4,r6
- orr r5,r5,r7
- orr r4,r4,r8
- orr r5,r5,r9
- stmia $r_ptr!,{r4-r5}
- ___
- }
- for(;$i<96;$i+=8) {
- my $j=($i-64)/4;
- $code.=<<___;
- ldmia r1!,{r4-r5} @ res_z
- ldmia r3!,{r8-r9} @ in1_z
- and r4,r4,r10
- and r5,r5,r10
- and r6,r11,#@ONE_mont[$j]
- and r7,r11,#@ONE_mont[$j+1]
- and r8,r8,r12
- and r9,r9,r12
- orr r4,r4,r6
- orr r5,r5,r7
- orr r4,r4,r8
- orr r5,r5,r9
- stmia $r_ptr!,{r4-r5}
- ___
- }
- $code.=<<___;
- add sp,sp,#32*15+16 @ +16 means "skip even over saved r0-r3"
- #if __ARM_ARCH__>=5 || !defined(__thumb__)
- ldmia sp!,{r4-r12,pc}
- #else
- ldmia sp!,{r4-r12,lr}
- bx lr @ interoperable with Thumb ISA:-)
- #endif
- .size ecp_nistz256_point_add_affine,.-ecp_nistz256_point_add_affine
- ___
- } }}}
- foreach (split("\n",$code)) {
- s/\`([^\`]*)\`/eval $1/geo;
- s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/geo;
- print $_,"\n";
- }
- close STDOUT or die "error closing STDOUT: $!"; # enforce flush
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