#! /usr/bin/env perl # Copyright 2012-2016 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 David S. Miller and Andy Polyakov # . The module is licensed under 2-clause BSD # license. November 2012. All rights reserved. # ==================================================================== ###################################################################### # Montgomery squaring-n-multiplication module for SPARC T4. # # The module consists of three parts: # # 1) collection of "single-op" subroutines that perform single # operation, Montgomery squaring or multiplication, on 512-, # 1024-, 1536- and 2048-bit operands; # 2) collection of "multi-op" subroutines that perform 5 squaring and # 1 multiplication operations on operands of above lengths; # 3) fall-back and helper VIS3 subroutines. # # RSA sign is dominated by multi-op subroutine, while RSA verify and # DSA - by single-op. Special note about 4096-bit RSA verify result. # Operands are too long for dedicated hardware and it's handled by # VIS3 code, which is why you don't see any improvement. It's surely # possible to improve it [by deploying 'mpmul' instruction], maybe in # the future... # # Performance improvement. # # 64-bit process, VIS3: # sign verify sign/s verify/s # rsa 1024 bits 0.000628s 0.000028s 1592.4 35434.4 # rsa 2048 bits 0.003282s 0.000106s 304.7 9438.3 # rsa 4096 bits 0.025866s 0.000340s 38.7 2940.9 # dsa 1024 bits 0.000301s 0.000332s 3323.7 3013.9 # dsa 2048 bits 0.001056s 0.001233s 946.9 810.8 # # 64-bit process, this module: # sign verify sign/s verify/s # rsa 1024 bits 0.000256s 0.000016s 3904.4 61411.9 # rsa 2048 bits 0.000946s 0.000029s 1056.8 34292.7 # rsa 4096 bits 0.005061s 0.000340s 197.6 2940.5 # dsa 1024 bits 0.000176s 0.000195s 5674.7 5130.5 # dsa 2048 bits 0.000296s 0.000354s 3383.2 2827.6 # ###################################################################### # 32-bit process, VIS3: # sign verify sign/s verify/s # rsa 1024 bits 0.000665s 0.000028s 1504.8 35233.3 # rsa 2048 bits 0.003349s 0.000106s 298.6 9433.4 # rsa 4096 bits 0.025959s 0.000341s 38.5 2934.8 # dsa 1024 bits 0.000320s 0.000341s 3123.3 2929.6 # dsa 2048 bits 0.001101s 0.001260s 908.2 793.4 # # 32-bit process, this module: # sign verify sign/s verify/s # rsa 1024 bits 0.000301s 0.000017s 3317.1 60240.0 # rsa 2048 bits 0.001034s 0.000030s 966.9 33812.7 # rsa 4096 bits 0.005244s 0.000341s 190.7 2935.4 # dsa 1024 bits 0.000201s 0.000205s 4976.1 4879.2 # dsa 2048 bits 0.000328s 0.000360s 3051.1 2774.2 # # 32-bit code is prone to performance degradation as interrupt rate # dispatched to CPU executing the code grows. This is because in # standard process of handling interrupt in 32-bit process context # upper halves of most integer registers used as input or output are # zeroed. This renders result invalid, and operation has to be re-run. # If CPU is "bothered" with timer interrupts only, the penalty is # hardly measurable. But in order to mitigate this problem for higher # interrupt rates contemporary Linux kernel recognizes biased stack # even in 32-bit process context and preserves full register contents. # See http://git.kernel.org/cgit/linux/kernel/git/torvalds/linux.git/commit/?id=517ffce4e1a03aea979fe3a18a3dd1761a24fafb # for details. $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; push(@INC,"${dir}","${dir}../../perlasm"); require "sparcv9_modes.pl"; $output = pop; open STDOUT,">$output"; $code.=<<___; #include "sparc_arch.h" #ifdef __arch64__ .register %g2,#scratch .register %g3,#scratch #endif .section ".text",#alloc,#execinstr #ifdef __PIC__ SPARC_PIC_THUNK(%g1) #endif ___ ######################################################################## # Register layout for mont[mul|sqr] instructions. # For details see "Oracle SPARC Architecture 2011" manual at # http://www.oracle.com/technetwork/server-storage/sun-sparc-enterprise/documentation/. # my @R=map("%f".2*$_,(0..11,30,31,12..29)); my @N=(map("%l$_",(0..7)),map("%o$_",(0..5))); @N=(@N,@N,@N[0..3]); my @A=(@N[0..13],@R[14..31]); my @B=(map("%i$_",(0..5)),map("%l$_",(0..7))); @B=(@B,@B,map("%o$_",(0..3))); ######################################################################## # int bn_mul_mont_t4_$NUM(u64 *rp,const u64 *ap,const u64 *bp, # const u64 *np,const BN_ULONG *n0); # sub generate_bn_mul_mont_t4() { my $NUM=shift; my ($rp,$ap,$bp,$np,$sentinel)=map("%g$_",(1..5)); $code.=<<___; .globl bn_mul_mont_t4_$NUM .align 32 bn_mul_mont_t4_$NUM: #ifdef __arch64__ mov 0,$sentinel mov -128,%g4 #elif defined(SPARCV9_64BIT_STACK) SPARC_LOAD_ADDRESS_LEAF(OPENSSL_sparcv9cap_P,%g1,%g5) ld [%g1+0],%g1 ! OPENSSL_sparcv9_P[0] mov -2047,%g4 and %g1,SPARCV9_64BIT_STACK,%g1 movrz %g1,0,%g4 mov -1,$sentinel add %g4,-128,%g4 #else mov -1,$sentinel mov -128,%g4 #endif sllx $sentinel,32,$sentinel save %sp,%g4,%sp #ifndef __arch64__ save %sp,-128,%sp ! warm it up save %sp,-128,%sp save %sp,-128,%sp save %sp,-128,%sp save %sp,-128,%sp save %sp,-128,%sp restore restore restore restore restore restore #endif and %sp,1,%g4 or $sentinel,%fp,%fp or %g4,$sentinel,$sentinel ! copy arguments to global registers mov %i0,$rp mov %i1,$ap mov %i2,$bp mov %i3,$np ld [%i4+0],%f1 ! load *n0 ld [%i4+4],%f0 fsrc2 %f0,%f60 ___ # load ap[$NUM] ######################################################## $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for($i=0; $i<14 && $i<$NUM; $i++) { my $lo=$i<13?@A[$i+1]:"%o7"; $code.=<<___; ld [$ap+$i*8+0],$lo ld [$ap+$i*8+4],@A[$i] sllx @A[$i],32,@A[$i] or $lo,@A[$i],@A[$i] ___ } for(; $i<$NUM; $i++) { my ($hi,$lo)=("%f".2*($i%4),"%f".(2*($i%4)+1)); $code.=<<___; ld [$ap+$i*8+0],$lo ld [$ap+$i*8+4],$hi fsrc2 $hi,@A[$i] ___ } # load np[$NUM] ######################################################## $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for($i=0; $i<14 && $i<$NUM; $i++) { my $lo=$i<13?@N[$i+1]:"%o7"; $code.=<<___; ld [$np+$i*8+0],$lo ld [$np+$i*8+4],@N[$i] sllx @N[$i],32,@N[$i] or $lo,@N[$i],@N[$i] ___ } $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for(; $i<28 && $i<$NUM; $i++) { my $lo=$i<27?@N[$i+1]:"%o7"; $code.=<<___; ld [$np+$i*8+0],$lo ld [$np+$i*8+4],@N[$i] sllx @N[$i],32,@N[$i] or $lo,@N[$i],@N[$i] ___ } $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for(; $i<$NUM; $i++) { my $lo=($i<$NUM-1)?@N[$i+1]:"%o7"; $code.=<<___; ld [$np+$i*8+0],$lo ld [$np+$i*8+4],@N[$i] sllx @N[$i],32,@N[$i] or $lo,@N[$i],@N[$i] ___ } $code.=<<___; cmp $ap,$bp be SIZE_T_CC,.Lmsquare_$NUM nop ___ # load bp[$NUM] ######################################################## $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for($i=0; $i<14 && $i<$NUM; $i++) { my $lo=$i<13?@B[$i+1]:"%o7"; $code.=<<___; ld [$bp+$i*8+0],$lo ld [$bp+$i*8+4],@B[$i] sllx @B[$i],32,@B[$i] or $lo,@B[$i],@B[$i] ___ } $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for(; $i<$NUM; $i++) { my $lo=($i<$NUM-1)?@B[$i+1]:"%o7"; $code.=<<___; ld [$bp+$i*8+0],$lo ld [$bp+$i*8+4],@B[$i] sllx @B[$i],32,@B[$i] or $lo,@B[$i],@B[$i] ___ } # magic ################################################################ $code.=<<___; .word 0x81b02920+$NUM-1 ! montmul $NUM-1 .Lmresume_$NUM: fbu,pn %fcc3,.Lmabort_$NUM #ifndef __arch64__ and %fp,$sentinel,$sentinel brz,pn $sentinel,.Lmabort_$NUM #endif nop #ifdef __arch64__ restore restore restore restore restore #else restore; and %fp,$sentinel,$sentinel restore; and %fp,$sentinel,$sentinel restore; and %fp,$sentinel,$sentinel restore; and %fp,$sentinel,$sentinel brz,pn $sentinel,.Lmabort1_$NUM restore #endif ___ # save tp[$NUM] ######################################################## for($i=0; $i<14 && $i<$NUM; $i++) { $code.=<<___; movxtod @A[$i],@R[$i] ___ } $code.=<<___; #ifdef __arch64__ restore #else and %fp,$sentinel,$sentinel restore and $sentinel,1,%o7 and %fp,$sentinel,$sentinel srl %fp,0,%fp ! just in case? or %o7,$sentinel,$sentinel brz,a,pn $sentinel,.Lmdone_$NUM mov 0,%i0 ! return failure #endif ___ for($i=0; $i<12 && $i<$NUM; $i++) { @R[$i] =~ /%f([0-9]+)/; my $lo = "%f".($1+1); $code.=<<___; st $lo,[$rp+$i*8+0] st @R[$i],[$rp+$i*8+4] ___ } for(; $i<$NUM; $i++) { my ($hi,$lo)=("%f".2*($i%4),"%f".(2*($i%4)+1)); $code.=<<___; fsrc2 @R[$i],$hi st $lo,[$rp+$i*8+0] st $hi,[$rp+$i*8+4] ___ } $code.=<<___; mov 1,%i0 ! return success .Lmdone_$NUM: ret restore .Lmabort_$NUM: restore restore restore restore restore .Lmabort1_$NUM: restore mov 0,%i0 ! return failure ret restore .align 32 .Lmsquare_$NUM: save %sp,-128,%sp; or $sentinel,%fp,%fp save %sp,-128,%sp; or $sentinel,%fp,%fp .word 0x81b02940+$NUM-1 ! montsqr $NUM-1 ba .Lmresume_$NUM nop .type bn_mul_mont_t4_$NUM, #function .size bn_mul_mont_t4_$NUM, .-bn_mul_mont_t4_$NUM ___ } for ($i=8;$i<=32;$i+=8) { &generate_bn_mul_mont_t4($i); } ######################################################################## # sub load_ccr { my ($ptbl,$pwr,$ccr,$skip_wr)=@_; $code.=<<___; srl $pwr, 2, %o4 and $pwr, 3, %o5 and %o4, 7, %o4 sll %o5, 3, %o5 ! offset within first cache line add %o5, $ptbl, $ptbl ! of the pwrtbl or %g0, 1, %o5 sll %o5, %o4, $ccr ___ $code.=<<___ if (!$skip_wr); wr $ccr, %g0, %ccr ___ } sub load_b_pair { my ($pwrtbl,$B0,$B1)=@_; $code.=<<___; ldx [$pwrtbl+0*32], $B0 ldx [$pwrtbl+8*32], $B1 ldx [$pwrtbl+1*32], %o4 ldx [$pwrtbl+9*32], %o5 movvs %icc, %o4, $B0 ldx [$pwrtbl+2*32], %o4 movvs %icc, %o5, $B1 ldx [$pwrtbl+10*32],%o5 move %icc, %o4, $B0 ldx [$pwrtbl+3*32], %o4 move %icc, %o5, $B1 ldx [$pwrtbl+11*32],%o5 movneg %icc, %o4, $B0 ldx [$pwrtbl+4*32], %o4 movneg %icc, %o5, $B1 ldx [$pwrtbl+12*32],%o5 movcs %xcc, %o4, $B0 ldx [$pwrtbl+5*32],%o4 movcs %xcc, %o5, $B1 ldx [$pwrtbl+13*32],%o5 movvs %xcc, %o4, $B0 ldx [$pwrtbl+6*32], %o4 movvs %xcc, %o5, $B1 ldx [$pwrtbl+14*32],%o5 move %xcc, %o4, $B0 ldx [$pwrtbl+7*32], %o4 move %xcc, %o5, $B1 ldx [$pwrtbl+15*32],%o5 movneg %xcc, %o4, $B0 add $pwrtbl,16*32, $pwrtbl movneg %xcc, %o5, $B1 ___ } sub load_b { my ($pwrtbl,$Bi)=@_; $code.=<<___; ldx [$pwrtbl+0*32], $Bi ldx [$pwrtbl+1*32], %o4 ldx [$pwrtbl+2*32], %o5 movvs %icc, %o4, $Bi ldx [$pwrtbl+3*32], %o4 move %icc, %o5, $Bi ldx [$pwrtbl+4*32], %o5 movneg %icc, %o4, $Bi ldx [$pwrtbl+5*32], %o4 movcs %xcc, %o5, $Bi ldx [$pwrtbl+6*32], %o5 movvs %xcc, %o4, $Bi ldx [$pwrtbl+7*32], %o4 move %xcc, %o5, $Bi add $pwrtbl,8*32, $pwrtbl movneg %xcc, %o4, $Bi ___ } ######################################################################## # int bn_pwr5_mont_t4_$NUM(u64 *tp,const u64 *np,const BN_ULONG *n0, # const u64 *pwrtbl,int pwr,int stride); # sub generate_bn_pwr5_mont_t4() { my $NUM=shift; my ($tp,$np,$pwrtbl,$pwr,$sentinel)=map("%g$_",(1..5)); $code.=<<___; .globl bn_pwr5_mont_t4_$NUM .align 32 bn_pwr5_mont_t4_$NUM: #ifdef __arch64__ mov 0,$sentinel mov -128,%g4 #elif defined(SPARCV9_64BIT_STACK) SPARC_LOAD_ADDRESS_LEAF(OPENSSL_sparcv9cap_P,%g1,%g5) ld [%g1+0],%g1 ! OPENSSL_sparcv9_P[0] mov -2047,%g4 and %g1,SPARCV9_64BIT_STACK,%g1 movrz %g1,0,%g4 mov -1,$sentinel add %g4,-128,%g4 #else mov -1,$sentinel mov -128,%g4 #endif sllx $sentinel,32,$sentinel save %sp,%g4,%sp #ifndef __arch64__ save %sp,-128,%sp ! warm it up save %sp,-128,%sp save %sp,-128,%sp save %sp,-128,%sp save %sp,-128,%sp save %sp,-128,%sp restore restore restore restore restore restore #endif and %sp,1,%g4 or $sentinel,%fp,%fp or %g4,$sentinel,$sentinel ! copy arguments to global registers mov %i0,$tp mov %i1,$np ld [%i2+0],%f1 ! load *n0 ld [%i2+4],%f0 mov %i3,$pwrtbl srl %i4,%g0,%i4 ! pack last arguments sllx %i5,32,$pwr or %i4,$pwr,$pwr fsrc2 %f0,%f60 ___ # load tp[$NUM] ######################################################## $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for($i=0; $i<14 && $i<$NUM; $i++) { $code.=<<___; ldx [$tp+$i*8],@A[$i] ___ } for(; $i<$NUM; $i++) { $code.=<<___; ldd [$tp+$i*8],@A[$i] ___ } # load np[$NUM] ######################################################## $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for($i=0; $i<14 && $i<$NUM; $i++) { $code.=<<___; ldx [$np+$i*8],@N[$i] ___ } $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for(; $i<28 && $i<$NUM; $i++) { $code.=<<___; ldx [$np+$i*8],@N[$i] ___ } $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for(; $i<$NUM; $i++) { $code.=<<___; ldx [$np+$i*8],@N[$i] ___ } # load pwrtbl[pwr] ######################################################## $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp srlx $pwr, 32, %o4 ! unpack $pwr srl $pwr, %g0, %o5 sub %o4, 5, %o4 mov $pwrtbl, %o7 sllx %o4, 32, $pwr ! re-pack $pwr or %o5, $pwr, $pwr srl %o5, %o4, %o5 ___ &load_ccr("%o7","%o5","%o4"); $code.=<<___; b .Lstride_$NUM nop .align 16 .Lstride_$NUM: ___ for($i=0; $i<14 && $i<$NUM; $i+=2) { &load_b_pair("%o7",@B[$i],@B[$i+1]); } $code.=<<___; save %sp,-128,%sp; or $sentinel,%fp,%fp ___ for(; $i<$NUM; $i+=2) { &load_b_pair("%i7",@B[$i],@B[$i+1]); } $code.=<<___; srax $pwr, 32, %o4 ! unpack $pwr srl $pwr, %g0, %o5 sub %o4, 5, %o4 mov $pwrtbl, %i7 sllx %o4, 32, $pwr ! re-pack $pwr or %o5, $pwr, $pwr srl %o5, %o4, %o5 ___ &load_ccr("%i7","%o5","%o4",1); # magic ################################################################ for($i=0; $i<5; $i++) { $code.=<<___; .word 0x81b02940+$NUM-1 ! montsqr $NUM-1 fbu,pn %fcc3,.Labort_$NUM #ifndef __arch64__ and %fp,$sentinel,$sentinel brz,pn $sentinel,.Labort_$NUM #endif nop ___ } $code.=<<___; wr %o4, %g0, %ccr .word 0x81b02920+$NUM-1 ! montmul $NUM-1 fbu,pn %fcc3,.Labort_$NUM #ifndef __arch64__ and %fp,$sentinel,$sentinel brz,pn $sentinel,.Labort_$NUM #endif srax $pwr, 32, %o4 #ifdef __arch64__ brgez %o4,.Lstride_$NUM restore restore restore restore restore #else brgez %o4,.Lstride_$NUM restore; and %fp,$sentinel,$sentinel restore; and %fp,$sentinel,$sentinel restore; and %fp,$sentinel,$sentinel restore; and %fp,$sentinel,$sentinel brz,pn $sentinel,.Labort1_$NUM restore #endif ___ # save tp[$NUM] ######################################################## for($i=0; $i<14 && $i<$NUM; $i++) { $code.=<<___; movxtod @A[$i],@R[$i] ___ } $code.=<<___; #ifdef __arch64__ restore #else and %fp,$sentinel,$sentinel restore and $sentinel,1,%o7 and %fp,$sentinel,$sentinel srl %fp,0,%fp ! just in case? or %o7,$sentinel,$sentinel brz,a,pn $sentinel,.Ldone_$NUM mov 0,%i0 ! return failure #endif ___ for($i=0; $i<$NUM; $i++) { $code.=<<___; std @R[$i],[$tp+$i*8] ___ } $code.=<<___; mov 1,%i0 ! return success .Ldone_$NUM: ret restore .Labort_$NUM: restore restore restore restore restore .Labort1_$NUM: restore mov 0,%i0 ! return failure ret restore .type bn_pwr5_mont_t4_$NUM, #function .size bn_pwr5_mont_t4_$NUM, .-bn_pwr5_mont_t4_$NUM ___ } for ($i=8;$i<=32;$i+=8) { &generate_bn_pwr5_mont_t4($i); } { ######################################################################## # Fall-back subroutines # # copy of bn_mul_mont_vis3 adjusted for vectors of 64-bit values # ($n0,$m0,$m1,$lo0,$hi0, $lo1,$hi1,$aj,$alo,$nj,$nlo,$tj)= (map("%g$_",(1..5)),map("%o$_",(0..5,7))); # int bn_mul_mont( $rp="%o0"; # u64 *rp, $ap="%o1"; # const u64 *ap, $bp="%o2"; # const u64 *bp, $np="%o3"; # const u64 *np, $n0p="%o4"; # const BN_ULONG *n0, $num="%o5"; # int num); # caller ensures that num is >=3 $code.=<<___; .globl bn_mul_mont_t4 .align 32 bn_mul_mont_t4: add %sp, STACK_BIAS, %g4 ! real top of stack sll $num, 3, $num ! size in bytes add $num, 63, %g1 andn %g1, 63, %g1 ! buffer size rounded up to 64 bytes sub %g4, %g1, %g1 andn %g1, 63, %g1 ! align at 64 byte sub %g1, STACK_FRAME, %g1 ! new top of stack sub %g1, %g4, %g1 save %sp, %g1, %sp ___ # +-------------------------------+<----- %sp # . . # +-------------------------------+<----- aligned at 64 bytes # | __int64 tmp[0] | # +-------------------------------+ # . . # . . # +-------------------------------+<----- aligned at 64 bytes # . . ($rp,$ap,$bp,$np,$n0p,$num)=map("%i$_",(0..5)); ($t0,$t1,$t2,$t3,$cnt,$tp,$bufsz)=map("%l$_",(0..7)); ($ovf,$i)=($t0,$t1); $code.=<<___; ld [$n0p+0], $t0 ! pull n0[0..1] value ld [$n0p+4], $t1 add %sp, STACK_BIAS+STACK_FRAME, $tp ldx [$bp+0], $m0 ! m0=bp[0] sllx $t1, 32, $n0 add $bp, 8, $bp or $t0, $n0, $n0 ldx [$ap+0], $aj ! ap[0] mulx $aj, $m0, $lo0 ! ap[0]*bp[0] umulxhi $aj, $m0, $hi0 ldx [$ap+8], $aj ! ap[1] add $ap, 16, $ap ldx [$np+0], $nj ! np[0] mulx $lo0, $n0, $m1 ! "tp[0]"*n0 mulx $aj, $m0, $alo ! ap[1]*bp[0] umulxhi $aj, $m0, $aj ! ahi=aj mulx $nj, $m1, $lo1 ! np[0]*m1 umulxhi $nj, $m1, $hi1 ldx [$np+8], $nj ! np[1] addcc $lo0, $lo1, $lo1 add $np, 16, $np addxc %g0, $hi1, $hi1 mulx $nj, $m1, $nlo ! np[1]*m1 umulxhi $nj, $m1, $nj ! nhi=nj ba .L1st sub $num, 24, $cnt ! cnt=num-3 .align 16 .L1st: addcc $alo, $hi0, $lo0 addxc $aj, %g0, $hi0 ldx [$ap+0], $aj ! ap[j] addcc $nlo, $hi1, $lo1 add $ap, 8, $ap addxc $nj, %g0, $hi1 ! nhi=nj ldx [$np+0], $nj ! np[j] mulx $aj, $m0, $alo ! ap[j]*bp[0] add $np, 8, $np umulxhi $aj, $m0, $aj ! ahi=aj mulx $nj, $m1, $nlo ! np[j]*m1 addcc $lo0, $lo1, $lo1 ! np[j]*m1+ap[j]*bp[0] umulxhi $nj, $m1, $nj ! nhi=nj addxc %g0, $hi1, $hi1 stxa $lo1, [$tp]0xe2 ! tp[j-1] add $tp, 8, $tp ! tp++ brnz,pt $cnt, .L1st sub $cnt, 8, $cnt ! j-- !.L1st addcc $alo, $hi0, $lo0 addxc $aj, %g0, $hi0 ! ahi=aj addcc $nlo, $hi1, $lo1 addxc $nj, %g0, $hi1 addcc $lo0, $lo1, $lo1 ! np[j]*m1+ap[j]*bp[0] addxc %g0, $hi1, $hi1 stxa $lo1, [$tp]0xe2 ! tp[j-1] add $tp, 8, $tp addcc $hi0, $hi1, $hi1 addxc %g0, %g0, $ovf ! upmost overflow bit stxa $hi1, [$tp]0xe2 add $tp, 8, $tp ba .Louter sub $num, 16, $i ! i=num-2 .align 16 .Louter: ldx [$bp+0], $m0 ! m0=bp[i] add $bp, 8, $bp sub $ap, $num, $ap ! rewind sub $np, $num, $np sub $tp, $num, $tp ldx [$ap+0], $aj ! ap[0] ldx [$np+0], $nj ! np[0] mulx $aj, $m0, $lo0 ! ap[0]*bp[i] ldx [$tp], $tj ! tp[0] umulxhi $aj, $m0, $hi0 ldx [$ap+8], $aj ! ap[1] addcc $lo0, $tj, $lo0 ! ap[0]*bp[i]+tp[0] mulx $aj, $m0, $alo ! ap[1]*bp[i] addxc %g0, $hi0, $hi0 mulx $lo0, $n0, $m1 ! tp[0]*n0 umulxhi $aj, $m0, $aj ! ahi=aj mulx $nj, $m1, $lo1 ! np[0]*m1 add $ap, 16, $ap umulxhi $nj, $m1, $hi1 ldx [$np+8], $nj ! np[1] add $np, 16, $np addcc $lo1, $lo0, $lo1 mulx $nj, $m1, $nlo ! np[1]*m1 addxc %g0, $hi1, $hi1 umulxhi $nj, $m1, $nj ! nhi=nj ba .Linner sub $num, 24, $cnt ! cnt=num-3 .align 16 .Linner: addcc $alo, $hi0, $lo0 ldx [$tp+8], $tj ! tp[j] addxc $aj, %g0, $hi0 ! ahi=aj ldx [$ap+0], $aj ! ap[j] add $ap, 8, $ap addcc $nlo, $hi1, $lo1 mulx $aj, $m0, $alo ! ap[j]*bp[i] addxc $nj, %g0, $hi1 ! nhi=nj ldx [$np+0], $nj ! np[j] add $np, 8, $np umulxhi $aj, $m0, $aj ! ahi=aj addcc $lo0, $tj, $lo0 ! ap[j]*bp[i]+tp[j] mulx $nj, $m1, $nlo ! np[j]*m1 addxc %g0, $hi0, $hi0 umulxhi $nj, $m1, $nj ! nhi=nj addcc $lo1, $lo0, $lo1 ! np[j]*m1+ap[j]*bp[i]+tp[j] addxc %g0, $hi1, $hi1 stx $lo1, [$tp] ! tp[j-1] add $tp, 8, $tp brnz,pt $cnt, .Linner sub $cnt, 8, $cnt !.Linner ldx [$tp+8], $tj ! tp[j] addcc $alo, $hi0, $lo0 addxc $aj, %g0, $hi0 ! ahi=aj addcc $lo0, $tj, $lo0 ! ap[j]*bp[i]+tp[j] addxc %g0, $hi0, $hi0 addcc $nlo, $hi1, $lo1 addxc $nj, %g0, $hi1 ! nhi=nj addcc $lo1, $lo0, $lo1 ! np[j]*m1+ap[j]*bp[i]+tp[j] addxc %g0, $hi1, $hi1 stx $lo1, [$tp] ! tp[j-1] subcc %g0, $ovf, %g0 ! move upmost overflow to CCR.xcc addxccc $hi1, $hi0, $hi1 addxc %g0, %g0, $ovf stx $hi1, [$tp+8] add $tp, 16, $tp brnz,pt $i, .Louter sub $i, 8, $i sub $ap, $num, $ap ! rewind sub $np, $num, $np sub $tp, $num, $tp ba .Lsub subcc $num, 8, $cnt ! cnt=num-1 and clear CCR.xcc .align 16 .Lsub: ldx [$tp], $tj add $tp, 8, $tp ldx [$np+0], $nj add $np, 8, $np subccc $tj, $nj, $t2 ! tp[j]-np[j] srlx $tj, 32, $tj srlx $nj, 32, $nj subccc $tj, $nj, $t3 add $rp, 8, $rp st $t2, [$rp-4] ! reverse order st $t3, [$rp-8] brnz,pt $cnt, .Lsub sub $cnt, 8, $cnt sub $np, $num, $np ! rewind sub $tp, $num, $tp sub $rp, $num, $rp subc $ovf, %g0, $ovf ! handle upmost overflow bit and $tp, $ovf, $ap andn $rp, $ovf, $np or $np, $ap, $ap ! ap=borrow?tp:rp ba .Lcopy sub $num, 8, $cnt .align 16 .Lcopy: ! copy or in-place refresh ldx [$ap+0], $t2 add $ap, 8, $ap stx %g0, [$tp] ! zap add $tp, 8, $tp stx $t2, [$rp+0] add $rp, 8, $rp brnz $cnt, .Lcopy sub $cnt, 8, $cnt mov 1, %o0 ret restore .type bn_mul_mont_t4, #function .size bn_mul_mont_t4, .-bn_mul_mont_t4 ___ # int bn_mul_mont_gather5( $rp="%o0"; # u64 *rp, $ap="%o1"; # const u64 *ap, $bp="%o2"; # const u64 *pwrtbl, $np="%o3"; # const u64 *np, $n0p="%o4"; # const BN_ULONG *n0, $num="%o5"; # int num, # caller ensures that num is >=3 # int power); $code.=<<___; .globl bn_mul_mont_gather5_t4 .align 32 bn_mul_mont_gather5_t4: add %sp, STACK_BIAS, %g4 ! real top of stack sll $num, 3, $num ! size in bytes add $num, 63, %g1 andn %g1, 63, %g1 ! buffer size rounded up to 64 bytes sub %g4, %g1, %g1 andn %g1, 63, %g1 ! align at 64 byte sub %g1, STACK_FRAME, %g1 ! new top of stack sub %g1, %g4, %g1 LDPTR [%sp+STACK_7thARG], %g4 ! load power, 7th argument save %sp, %g1, %sp ___ # +-------------------------------+<----- %sp # . . # +-------------------------------+<----- aligned at 64 bytes # | __int64 tmp[0] | # +-------------------------------+ # . . # . . # +-------------------------------+<----- aligned at 64 bytes # . . ($rp,$ap,$bp,$np,$n0p,$num)=map("%i$_",(0..5)); ($t0,$t1,$t2,$t3,$cnt,$tp,$bufsz,$ccr)=map("%l$_",(0..7)); ($ovf,$i)=($t0,$t1); &load_ccr($bp,"%g4",$ccr); &load_b($bp,$m0,"%o7"); # m0=bp[0] $code.=<<___; ld [$n0p+0], $t0 ! pull n0[0..1] value ld [$n0p+4], $t1 add %sp, STACK_BIAS+STACK_FRAME, $tp sllx $t1, 32, $n0 or $t0, $n0, $n0 ldx [$ap+0], $aj ! ap[0] mulx $aj, $m0, $lo0 ! ap[0]*bp[0] umulxhi $aj, $m0, $hi0 ldx [$ap+8], $aj ! ap[1] add $ap, 16, $ap ldx [$np+0], $nj ! np[0] mulx $lo0, $n0, $m1 ! "tp[0]"*n0 mulx $aj, $m0, $alo ! ap[1]*bp[0] umulxhi $aj, $m0, $aj ! ahi=aj mulx $nj, $m1, $lo1 ! np[0]*m1 umulxhi $nj, $m1, $hi1 ldx [$np+8], $nj ! np[1] addcc $lo0, $lo1, $lo1 add $np, 16, $np addxc %g0, $hi1, $hi1 mulx $nj, $m1, $nlo ! np[1]*m1 umulxhi $nj, $m1, $nj ! nhi=nj ba .L1st_g5 sub $num, 24, $cnt ! cnt=num-3 .align 16 .L1st_g5: addcc $alo, $hi0, $lo0 addxc $aj, %g0, $hi0 ldx [$ap+0], $aj ! ap[j] addcc $nlo, $hi1, $lo1 add $ap, 8, $ap addxc $nj, %g0, $hi1 ! nhi=nj ldx [$np+0], $nj ! np[j] mulx $aj, $m0, $alo ! ap[j]*bp[0] add $np, 8, $np umulxhi $aj, $m0, $aj ! ahi=aj mulx $nj, $m1, $nlo ! np[j]*m1 addcc $lo0, $lo1, $lo1 ! np[j]*m1+ap[j]*bp[0] umulxhi $nj, $m1, $nj ! nhi=nj addxc %g0, $hi1, $hi1 stxa $lo1, [$tp]0xe2 ! tp[j-1] add $tp, 8, $tp ! tp++ brnz,pt $cnt, .L1st_g5 sub $cnt, 8, $cnt ! j-- !.L1st_g5 addcc $alo, $hi0, $lo0 addxc $aj, %g0, $hi0 ! ahi=aj addcc $nlo, $hi1, $lo1 addxc $nj, %g0, $hi1 addcc $lo0, $lo1, $lo1 ! np[j]*m1+ap[j]*bp[0] addxc %g0, $hi1, $hi1 stxa $lo1, [$tp]0xe2 ! tp[j-1] add $tp, 8, $tp addcc $hi0, $hi1, $hi1 addxc %g0, %g0, $ovf ! upmost overflow bit stxa $hi1, [$tp]0xe2 add $tp, 8, $tp ba .Louter_g5 sub $num, 16, $i ! i=num-2 .align 16 .Louter_g5: wr $ccr, %g0, %ccr ___ &load_b($bp,$m0); # m0=bp[i] $code.=<<___; sub $ap, $num, $ap ! rewind sub $np, $num, $np sub $tp, $num, $tp ldx [$ap+0], $aj ! ap[0] ldx [$np+0], $nj ! np[0] mulx $aj, $m0, $lo0 ! ap[0]*bp[i] ldx [$tp], $tj ! tp[0] umulxhi $aj, $m0, $hi0 ldx [$ap+8], $aj ! ap[1] addcc $lo0, $tj, $lo0 ! ap[0]*bp[i]+tp[0] mulx $aj, $m0, $alo ! ap[1]*bp[i] addxc %g0, $hi0, $hi0 mulx $lo0, $n0, $m1 ! tp[0]*n0 umulxhi $aj, $m0, $aj ! ahi=aj mulx $nj, $m1, $lo1 ! np[0]*m1 add $ap, 16, $ap umulxhi $nj, $m1, $hi1 ldx [$np+8], $nj ! np[1] add $np, 16, $np addcc $lo1, $lo0, $lo1 mulx $nj, $m1, $nlo ! np[1]*m1 addxc %g0, $hi1, $hi1 umulxhi $nj, $m1, $nj ! nhi=nj ba .Linner_g5 sub $num, 24, $cnt ! cnt=num-3 .align 16 .Linner_g5: addcc $alo, $hi0, $lo0 ldx [$tp+8], $tj ! tp[j] addxc $aj, %g0, $hi0 ! ahi=aj ldx [$ap+0], $aj ! ap[j] add $ap, 8, $ap addcc $nlo, $hi1, $lo1 mulx $aj, $m0, $alo ! ap[j]*bp[i] addxc $nj, %g0, $hi1 ! nhi=nj ldx [$np+0], $nj ! np[j] add $np, 8, $np umulxhi $aj, $m0, $aj ! ahi=aj addcc $lo0, $tj, $lo0 ! ap[j]*bp[i]+tp[j] mulx $nj, $m1, $nlo ! np[j]*m1 addxc %g0, $hi0, $hi0 umulxhi $nj, $m1, $nj ! nhi=nj addcc $lo1, $lo0, $lo1 ! np[j]*m1+ap[j]*bp[i]+tp[j] addxc %g0, $hi1, $hi1 stx $lo1, [$tp] ! tp[j-1] add $tp, 8, $tp brnz,pt $cnt, .Linner_g5 sub $cnt, 8, $cnt !.Linner_g5 ldx [$tp+8], $tj ! tp[j] addcc $alo, $hi0, $lo0 addxc $aj, %g0, $hi0 ! ahi=aj addcc $lo0, $tj, $lo0 ! ap[j]*bp[i]+tp[j] addxc %g0, $hi0, $hi0 addcc $nlo, $hi1, $lo1 addxc $nj, %g0, $hi1 ! nhi=nj addcc $lo1, $lo0, $lo1 ! np[j]*m1+ap[j]*bp[i]+tp[j] addxc %g0, $hi1, $hi1 stx $lo1, [$tp] ! tp[j-1] subcc %g0, $ovf, %g0 ! move upmost overflow to CCR.xcc addxccc $hi1, $hi0, $hi1 addxc %g0, %g0, $ovf stx $hi1, [$tp+8] add $tp, 16, $tp brnz,pt $i, .Louter_g5 sub $i, 8, $i sub $ap, $num, $ap ! rewind sub $np, $num, $np sub $tp, $num, $tp ba .Lsub_g5 subcc $num, 8, $cnt ! cnt=num-1 and clear CCR.xcc .align 16 .Lsub_g5: ldx [$tp], $tj add $tp, 8, $tp ldx [$np+0], $nj add $np, 8, $np subccc $tj, $nj, $t2 ! tp[j]-np[j] srlx $tj, 32, $tj srlx $nj, 32, $nj subccc $tj, $nj, $t3 add $rp, 8, $rp st $t2, [$rp-4] ! reverse order st $t3, [$rp-8] brnz,pt $cnt, .Lsub_g5 sub $cnt, 8, $cnt sub $np, $num, $np ! rewind sub $tp, $num, $tp sub $rp, $num, $rp subc $ovf, %g0, $ovf ! handle upmost overflow bit and $tp, $ovf, $ap andn $rp, $ovf, $np or $np, $ap, $ap ! ap=borrow?tp:rp ba .Lcopy_g5 sub $num, 8, $cnt .align 16 .Lcopy_g5: ! copy or in-place refresh ldx [$ap+0], $t2 add $ap, 8, $ap stx %g0, [$tp] ! zap add $tp, 8, $tp stx $t2, [$rp+0] add $rp, 8, $rp brnz $cnt, .Lcopy_g5 sub $cnt, 8, $cnt mov 1, %o0 ret restore .type bn_mul_mont_gather5_t4, #function .size bn_mul_mont_gather5_t4, .-bn_mul_mont_gather5_t4 ___ } $code.=<<___; .globl bn_flip_t4 .align 32 bn_flip_t4: .Loop_flip: ld [%o1+0], %o4 sub %o2, 1, %o2 ld [%o1+4], %o5 add %o1, 8, %o1 st %o5, [%o0+0] st %o4, [%o0+4] brnz %o2, .Loop_flip add %o0, 8, %o0 retl nop .type bn_flip_t4, #function .size bn_flip_t4, .-bn_flip_t4 .globl bn_flip_n_scatter5_t4 .align 32 bn_flip_n_scatter5_t4: sll %o3, 3, %o3 srl %o1, 1, %o1 add %o3, %o2, %o2 ! &pwrtbl[pwr] sub %o1, 1, %o1 .Loop_flip_n_scatter5: ld [%o0+0], %o4 ! inp[i] ld [%o0+4], %o5 add %o0, 8, %o0 sllx %o5, 32, %o5 or %o4, %o5, %o5 stx %o5, [%o2] add %o2, 32*8, %o2 brnz %o1, .Loop_flip_n_scatter5 sub %o1, 1, %o1 retl nop .type bn_flip_n_scatter5_t4, #function .size bn_flip_n_scatter5_t4, .-bn_flip_n_scatter5_t4 .globl bn_gather5_t4 .align 32 bn_gather5_t4: ___ &load_ccr("%o2","%o3","%g1"); $code.=<<___; sub %o1, 1, %o1 .Loop_gather5: ___ &load_b("%o2","%g1"); $code.=<<___; stx %g1, [%o0] add %o0, 8, %o0 brnz %o1, .Loop_gather5 sub %o1, 1, %o1 retl nop .type bn_gather5_t4, #function .size bn_gather5_t4, .-bn_gather5_t4 .asciz "Montgomery Multiplication for SPARC T4, David S. Miller, Andy Polyakov" .align 4 ___ &emit_assembler(); close STDOUT;