607 lines
13 KiB
Raku
607 lines
13 KiB
Raku
#!/usr/bin/env perl
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# ====================================================================
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# Written by Andy Polyakov <appro@fy.chalmers.se> 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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# December 2005
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#
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# Pure SPARCv9/8+ and IALU-only bn_mul_mont implementation. The reasons
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# for undertaken effort are multiple. First of all, UltraSPARC is not
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# the whole SPARCv9 universe and other VIS-free implementations deserve
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# optimized code as much. Secondly, newly introduced UltraSPARC T1,
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# a.k.a. Niagara, has shared FPU and concurrent FPU-intensive pathes,
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# such as sparcv9a-mont, will simply sink it. Yes, T1 is equipped with
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# several integrated RSA/DSA accelerator circuits accessible through
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# kernel driver [only(*)], but having decent user-land software
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# implementation is important too. Finally, reasons like desire to
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# experiment with dedicated squaring procedure. Yes, this module
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# implements one, because it was easiest to draft it in SPARCv9
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# instructions...
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# (*) Engine accessing the driver in question is on my TODO list.
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# For reference, acceleator is estimated to give 6 to 10 times
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# improvement on single-threaded RSA sign. It should be noted
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# that 6-10x improvement coefficient does not actually mean
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# something extraordinary in terms of absolute [single-threaded]
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# performance, as SPARCv9 instruction set is by all means least
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# suitable for high performance crypto among other 64 bit
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# platforms. 6-10x factor simply places T1 in same performance
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# domain as say AMD64 and IA-64. Improvement of RSA verify don't
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# appear impressive at all, but it's the sign operation which is
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# far more critical/interesting.
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# You might notice that inner loops are modulo-scheduled:-) This has
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# essentially negligible impact on UltraSPARC performance, it's
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# Fujitsu SPARC64 V users who should notice and hopefully appreciate
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# the advantage... Currently this module surpasses sparcv9a-mont.pl
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# by ~20% on UltraSPARC-III and later cores, but recall that sparcv9a
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# module still have hidden potential [see TODO list there], which is
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# estimated to be larger than 20%...
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# int bn_mul_mont(
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$rp="%i0"; # BN_ULONG *rp,
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$ap="%i1"; # const BN_ULONG *ap,
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$bp="%i2"; # const BN_ULONG *bp,
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$np="%i3"; # const BN_ULONG *np,
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$n0="%i4"; # const BN_ULONG *n0,
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$num="%i5"; # int num);
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$bits=32;
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for (@ARGV) { $bits=64 if (/\-m64/ || /\-xarch\=v9/); }
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if ($bits==64) { $bias=2047; $frame=192; }
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else { $bias=0; $frame=128; }
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$car0="%o0";
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$car1="%o1";
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$car2="%o2"; # 1 bit
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$acc0="%o3";
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$acc1="%o4";
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$mask="%g1"; # 32 bits, what a waste...
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$tmp0="%g4";
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$tmp1="%g5";
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$i="%l0";
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$j="%l1";
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$mul0="%l2";
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$mul1="%l3";
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$tp="%l4";
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$apj="%l5";
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$npj="%l6";
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$tpj="%l7";
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$fname="bn_mul_mont_int";
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$code=<<___;
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.section ".text",#alloc,#execinstr
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.global $fname
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.align 32
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$fname:
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cmp %o5,4 ! 128 bits minimum
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bge,pt %icc,.Lenter
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sethi %hi(0xffffffff),$mask
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retl
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clr %o0
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.align 32
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.Lenter:
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save %sp,-$frame,%sp
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sll $num,2,$num ! num*=4
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or $mask,%lo(0xffffffff),$mask
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ld [$n0],$n0
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cmp $ap,$bp
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and $num,$mask,$num
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ld [$bp],$mul0 ! bp[0]
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nop
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add %sp,$bias,%o7 ! real top of stack
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ld [$ap],$car0 ! ap[0] ! redundant in squaring context
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sub %o7,$num,%o7
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ld [$ap+4],$apj ! ap[1]
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and %o7,-1024,%o7
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ld [$np],$car1 ! np[0]
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sub %o7,$bias,%sp ! alloca
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ld [$np+4],$npj ! np[1]
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be,pt `$bits==32?"%icc":"%xcc"`,.Lbn_sqr_mont
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mov 12,$j
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mulx $car0,$mul0,$car0 ! ap[0]*bp[0]
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mulx $apj,$mul0,$tmp0 !prologue! ap[1]*bp[0]
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and $car0,$mask,$acc0
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add %sp,$bias+$frame,$tp
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ld [$ap+8],$apj !prologue!
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mulx $n0,$acc0,$mul1 ! "t[0]"*n0
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and $mul1,$mask,$mul1
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mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
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mulx $npj,$mul1,$acc1 !prologue! np[1]*"t[0]"*n0
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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ld [$np+8],$npj !prologue!
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srlx $car1,32,$car1
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mov $tmp0,$acc0 !prologue!
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.L1st:
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mulx $apj,$mul0,$tmp0
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mulx $npj,$mul1,$tmp1
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add $acc0,$car0,$car0
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ld [$ap+$j],$apj ! ap[j]
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and $car0,$mask,$acc0
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add $acc1,$car1,$car1
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ld [$np+$j],$npj ! np[j]
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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add $j,4,$j ! j++
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mov $tmp0,$acc0
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st $car1,[$tp]
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cmp $j,$num
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mov $tmp1,$acc1
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srlx $car1,32,$car1
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bl %icc,.L1st
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add $tp,4,$tp ! tp++
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!.L1st
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mulx $apj,$mul0,$tmp0 !epilogue!
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mulx $npj,$mul1,$tmp1
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add $acc0,$car0,$car0
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and $car0,$mask,$acc0
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add $acc1,$car1,$car1
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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st $car1,[$tp]
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srlx $car1,32,$car1
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add $tmp0,$car0,$car0
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and $car0,$mask,$acc0
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add $tmp1,$car1,$car1
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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st $car1,[$tp+4]
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srlx $car1,32,$car1
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add $car0,$car1,$car1
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st $car1,[$tp+8]
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srlx $car1,32,$car2
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mov 4,$i ! i++
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ld [$bp+4],$mul0 ! bp[1]
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.Louter:
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add %sp,$bias+$frame,$tp
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ld [$ap],$car0 ! ap[0]
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ld [$ap+4],$apj ! ap[1]
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ld [$np],$car1 ! np[0]
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ld [$np+4],$npj ! np[1]
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ld [$tp],$tmp1 ! tp[0]
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ld [$tp+4],$tpj ! tp[1]
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mov 12,$j
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mulx $car0,$mul0,$car0
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mulx $apj,$mul0,$tmp0 !prologue!
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add $tmp1,$car0,$car0
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ld [$ap+8],$apj !prologue!
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and $car0,$mask,$acc0
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mulx $n0,$acc0,$mul1
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and $mul1,$mask,$mul1
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mulx $car1,$mul1,$car1
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mulx $npj,$mul1,$acc1 !prologue!
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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ld [$np+8],$npj !prologue!
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srlx $car1,32,$car1
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mov $tmp0,$acc0 !prologue!
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.Linner:
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mulx $apj,$mul0,$tmp0
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mulx $npj,$mul1,$tmp1
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add $tpj,$car0,$car0
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ld [$ap+$j],$apj ! ap[j]
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add $acc0,$car0,$car0
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add $acc1,$car1,$car1
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ld [$np+$j],$npj ! np[j]
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and $car0,$mask,$acc0
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ld [$tp+8],$tpj ! tp[j]
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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add $j,4,$j ! j++
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mov $tmp0,$acc0
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st $car1,[$tp] ! tp[j-1]
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srlx $car1,32,$car1
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mov $tmp1,$acc1
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cmp $j,$num
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bl %icc,.Linner
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add $tp,4,$tp ! tp++
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!.Linner
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mulx $apj,$mul0,$tmp0 !epilogue!
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mulx $npj,$mul1,$tmp1
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add $tpj,$car0,$car0
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add $acc0,$car0,$car0
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ld [$tp+8],$tpj ! tp[j]
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and $car0,$mask,$acc0
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add $acc1,$car1,$car1
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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st $car1,[$tp] ! tp[j-1]
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srlx $car1,32,$car1
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add $tpj,$car0,$car0
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add $tmp0,$car0,$car0
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and $car0,$mask,$acc0
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add $tmp1,$car1,$car1
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add $acc0,$car1,$car1
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st $car1,[$tp+4] ! tp[j-1]
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srlx $car0,32,$car0
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add $i,4,$i ! i++
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srlx $car1,32,$car1
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add $car0,$car1,$car1
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cmp $i,$num
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add $car2,$car1,$car1
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st $car1,[$tp+8]
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srlx $car1,32,$car2
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bl,a %icc,.Louter
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ld [$bp+$i],$mul0 ! bp[i]
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!.Louter
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add $tp,12,$tp
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.Ltail:
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add $np,$num,$np
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add $rp,$num,$rp
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mov $tp,$ap
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sub %g0,$num,%o7 ! k=-num
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ba .Lsub
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subcc %g0,%g0,%g0 ! clear %icc.c
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.align 16
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.Lsub:
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ld [$tp+%o7],%o0
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ld [$np+%o7],%o1
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subccc %o0,%o1,%o1 ! tp[j]-np[j]
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add $rp,%o7,$i
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add %o7,4,%o7
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brnz %o7,.Lsub
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st %o1,[$i]
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subc $car2,0,$car2 ! handle upmost overflow bit
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and $tp,$car2,$ap
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andn $rp,$car2,$np
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or $ap,$np,$ap
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sub %g0,$num,%o7
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.Lcopy:
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ld [$ap+%o7],%o0 ! copy or in-place refresh
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st %g0,[$tp+%o7] ! zap tp
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st %o0,[$rp+%o7]
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add %o7,4,%o7
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brnz %o7,.Lcopy
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nop
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mov 1,%i0
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ret
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restore
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___
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########
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######## .Lbn_sqr_mont gives up to 20% *overall* improvement over
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######## code without following dedicated squaring procedure.
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########
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$sbit="%i2"; # re-use $bp!
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$code.=<<___;
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.align 32
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.Lbn_sqr_mont:
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mulx $mul0,$mul0,$car0 ! ap[0]*ap[0]
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mulx $apj,$mul0,$tmp0 !prologue!
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and $car0,$mask,$acc0
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add %sp,$bias+$frame,$tp
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ld [$ap+8],$apj !prologue!
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mulx $n0,$acc0,$mul1 ! "t[0]"*n0
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srlx $car0,32,$car0
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and $mul1,$mask,$mul1
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mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
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mulx $npj,$mul1,$acc1 !prologue!
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and $car0,1,$sbit
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ld [$np+8],$npj !prologue!
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srlx $car0,1,$car0
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add $acc0,$car1,$car1
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srlx $car1,32,$car1
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mov $tmp0,$acc0 !prologue!
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.Lsqr_1st:
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mulx $apj,$mul0,$tmp0
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mulx $npj,$mul1,$tmp1
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add $acc0,$car0,$car0 ! ap[j]*a0+c0
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add $acc1,$car1,$car1
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ld [$ap+$j],$apj ! ap[j]
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and $car0,$mask,$acc0
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ld [$np+$j],$npj ! np[j]
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srlx $car0,32,$car0
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add $acc0,$acc0,$acc0
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or $sbit,$acc0,$acc0
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mov $tmp1,$acc1
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srlx $acc0,32,$sbit
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add $j,4,$j ! j++
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and $acc0,$mask,$acc0
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cmp $j,$num
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add $acc0,$car1,$car1
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st $car1,[$tp]
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mov $tmp0,$acc0
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srlx $car1,32,$car1
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bl %icc,.Lsqr_1st
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add $tp,4,$tp ! tp++
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!.Lsqr_1st
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mulx $apj,$mul0,$tmp0 ! epilogue
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mulx $npj,$mul1,$tmp1
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add $acc0,$car0,$car0 ! ap[j]*a0+c0
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add $acc1,$car1,$car1
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and $car0,$mask,$acc0
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srlx $car0,32,$car0
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add $acc0,$acc0,$acc0
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or $sbit,$acc0,$acc0
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srlx $acc0,32,$sbit
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and $acc0,$mask,$acc0
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add $acc0,$car1,$car1
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st $car1,[$tp]
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srlx $car1,32,$car1
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add $tmp0,$car0,$car0 ! ap[j]*a0+c0
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add $tmp1,$car1,$car1
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and $car0,$mask,$acc0
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srlx $car0,32,$car0
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add $acc0,$acc0,$acc0
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or $sbit,$acc0,$acc0
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srlx $acc0,32,$sbit
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and $acc0,$mask,$acc0
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add $acc0,$car1,$car1
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st $car1,[$tp+4]
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srlx $car1,32,$car1
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add $car0,$car0,$car0
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or $sbit,$car0,$car0
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add $car0,$car1,$car1
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st $car1,[$tp+8]
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srlx $car1,32,$car2
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ld [%sp+$bias+$frame],$tmp0 ! tp[0]
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ld [%sp+$bias+$frame+4],$tmp1 ! tp[1]
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ld [%sp+$bias+$frame+8],$tpj ! tp[2]
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ld [$ap+4],$mul0 ! ap[1]
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ld [$ap+8],$apj ! ap[2]
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ld [$np],$car1 ! np[0]
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ld [$np+4],$npj ! np[1]
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mulx $n0,$tmp0,$mul1
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mulx $mul0,$mul0,$car0
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and $mul1,$mask,$mul1
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mulx $car1,$mul1,$car1
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mulx $npj,$mul1,$acc1
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add $tmp0,$car1,$car1
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and $car0,$mask,$acc0
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ld [$np+8],$npj ! np[2]
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srlx $car1,32,$car1
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add $tmp1,$car1,$car1
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srlx $car0,32,$car0
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add $acc0,$car1,$car1
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and $car0,1,$sbit
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add $acc1,$car1,$car1
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srlx $car0,1,$car0
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mov 12,$j
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st $car1,[%sp+$bias+$frame] ! tp[0]=
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srlx $car1,32,$car1
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add %sp,$bias+$frame+4,$tp
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.Lsqr_2nd:
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mulx $apj,$mul0,$acc0
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mulx $npj,$mul1,$acc1
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add $acc0,$car0,$car0
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add $tpj,$car1,$car1
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ld [$ap+$j],$apj ! ap[j]
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and $car0,$mask,$acc0
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ld [$np+$j],$npj ! np[j]
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srlx $car0,32,$car0
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add $acc1,$car1,$car1
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ld [$tp+8],$tpj ! tp[j]
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add $acc0,$acc0,$acc0
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add $j,4,$j ! j++
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or $sbit,$acc0,$acc0
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srlx $acc0,32,$sbit
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and $acc0,$mask,$acc0
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cmp $j,$num
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add $acc0,$car1,$car1
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st $car1,[$tp] ! tp[j-1]
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srlx $car1,32,$car1
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bl %icc,.Lsqr_2nd
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add $tp,4,$tp ! tp++
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!.Lsqr_2nd
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mulx $apj,$mul0,$acc0
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mulx $npj,$mul1,$acc1
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add $acc0,$car0,$car0
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add $tpj,$car1,$car1
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and $car0,$mask,$acc0
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srlx $car0,32,$car0
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add $acc1,$car1,$car1
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add $acc0,$acc0,$acc0
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or $sbit,$acc0,$acc0
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srlx $acc0,32,$sbit
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and $acc0,$mask,$acc0
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add $acc0,$car1,$car1
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st $car1,[$tp] ! tp[j-1]
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srlx $car1,32,$car1
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add $car0,$car0,$car0
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or $sbit,$car0,$car0
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add $car0,$car1,$car1
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add $car2,$car1,$car1
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st $car1,[$tp+4]
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srlx $car1,32,$car2
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ld [%sp+$bias+$frame],$tmp1 ! tp[0]
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ld [%sp+$bias+$frame+4],$tpj ! tp[1]
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ld [$ap+8],$mul0 ! ap[2]
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ld [$np],$car1 ! np[0]
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ld [$np+4],$npj ! np[1]
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mulx $n0,$tmp1,$mul1
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and $mul1,$mask,$mul1
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mov 8,$i
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mulx $mul0,$mul0,$car0
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mulx $car1,$mul1,$car1
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and $car0,$mask,$acc0
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add $tmp1,$car1,$car1
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srlx $car0,32,$car0
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add %sp,$bias+$frame,$tp
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srlx $car1,32,$car1
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and $car0,1,$sbit
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srlx $car0,1,$car0
|
||
mov 4,$j
|
||
|
||
.Lsqr_outer:
|
||
.Lsqr_inner1:
|
||
mulx $npj,$mul1,$acc1
|
||
add $tpj,$car1,$car1
|
||
add $j,4,$j
|
||
ld [$tp+8],$tpj
|
||
cmp $j,$i
|
||
add $acc1,$car1,$car1
|
||
ld [$np+$j],$npj
|
||
st $car1,[$tp]
|
||
srlx $car1,32,$car1
|
||
bl %icc,.Lsqr_inner1
|
||
add $tp,4,$tp
|
||
!.Lsqr_inner1
|
||
|
||
add $j,4,$j
|
||
ld [$ap+$j],$apj ! ap[j]
|
||
mulx $npj,$mul1,$acc1
|
||
add $tpj,$car1,$car1
|
||
ld [$np+$j],$npj ! np[j]
|
||
add $acc0,$car1,$car1
|
||
ld [$tp+8],$tpj ! tp[j]
|
||
add $acc1,$car1,$car1
|
||
st $car1,[$tp]
|
||
srlx $car1,32,$car1
|
||
|
||
add $j,4,$j
|
||
cmp $j,$num
|
||
be,pn %icc,.Lsqr_no_inner2
|
||
add $tp,4,$tp
|
||
|
||
.Lsqr_inner2:
|
||
mulx $apj,$mul0,$acc0
|
||
mulx $npj,$mul1,$acc1
|
||
add $tpj,$car1,$car1
|
||
add $acc0,$car0,$car0
|
||
ld [$ap+$j],$apj ! ap[j]
|
||
and $car0,$mask,$acc0
|
||
ld [$np+$j],$npj ! np[j]
|
||
srlx $car0,32,$car0
|
||
add $acc0,$acc0,$acc0
|
||
ld [$tp+8],$tpj ! tp[j]
|
||
or $sbit,$acc0,$acc0
|
||
add $j,4,$j ! j++
|
||
srlx $acc0,32,$sbit
|
||
and $acc0,$mask,$acc0
|
||
cmp $j,$num
|
||
add $acc0,$car1,$car1
|
||
add $acc1,$car1,$car1
|
||
st $car1,[$tp] ! tp[j-1]
|
||
srlx $car1,32,$car1
|
||
bl %icc,.Lsqr_inner2
|
||
add $tp,4,$tp ! tp++
|
||
|
||
.Lsqr_no_inner2:
|
||
mulx $apj,$mul0,$acc0
|
||
mulx $npj,$mul1,$acc1
|
||
add $tpj,$car1,$car1
|
||
add $acc0,$car0,$car0
|
||
and $car0,$mask,$acc0
|
||
srlx $car0,32,$car0
|
||
add $acc0,$acc0,$acc0
|
||
or $sbit,$acc0,$acc0
|
||
srlx $acc0,32,$sbit
|
||
and $acc0,$mask,$acc0
|
||
add $acc0,$car1,$car1
|
||
add $acc1,$car1,$car1
|
||
st $car1,[$tp] ! tp[j-1]
|
||
srlx $car1,32,$car1
|
||
|
||
add $car0,$car0,$car0
|
||
or $sbit,$car0,$car0
|
||
add $car0,$car1,$car1
|
||
add $car2,$car1,$car1
|
||
st $car1,[$tp+4]
|
||
srlx $car1,32,$car2
|
||
|
||
add $i,4,$i ! i++
|
||
ld [%sp+$bias+$frame],$tmp1 ! tp[0]
|
||
ld [%sp+$bias+$frame+4],$tpj ! tp[1]
|
||
ld [$ap+$i],$mul0 ! ap[j]
|
||
ld [$np],$car1 ! np[0]
|
||
ld [$np+4],$npj ! np[1]
|
||
mulx $n0,$tmp1,$mul1
|
||
and $mul1,$mask,$mul1
|
||
add $i,4,$tmp0
|
||
|
||
mulx $mul0,$mul0,$car0
|
||
mulx $car1,$mul1,$car1
|
||
and $car0,$mask,$acc0
|
||
add $tmp1,$car1,$car1
|
||
srlx $car0,32,$car0
|
||
add %sp,$bias+$frame,$tp
|
||
srlx $car1,32,$car1
|
||
and $car0,1,$sbit
|
||
srlx $car0,1,$car0
|
||
|
||
cmp $tmp0,$num ! i<num-1
|
||
bl %icc,.Lsqr_outer
|
||
mov 4,$j
|
||
|
||
.Lsqr_last:
|
||
mulx $npj,$mul1,$acc1
|
||
add $tpj,$car1,$car1
|
||
add $j,4,$j
|
||
ld [$tp+8],$tpj
|
||
cmp $j,$i
|
||
add $acc1,$car1,$car1
|
||
ld [$np+$j],$npj
|
||
st $car1,[$tp]
|
||
srlx $car1,32,$car1
|
||
bl %icc,.Lsqr_last
|
||
add $tp,4,$tp
|
||
!.Lsqr_last
|
||
|
||
mulx $npj,$mul1,$acc1
|
||
add $tpj,$car1,$car1
|
||
add $acc0,$car1,$car1
|
||
add $acc1,$car1,$car1
|
||
st $car1,[$tp]
|
||
srlx $car1,32,$car1
|
||
|
||
add $car0,$car0,$car0 ! recover $car0
|
||
or $sbit,$car0,$car0
|
||
add $car0,$car1,$car1
|
||
add $car2,$car1,$car1
|
||
st $car1,[$tp+4]
|
||
srlx $car1,32,$car2
|
||
|
||
ba .Ltail
|
||
add $tp,8,$tp
|
||
.type $fname,#function
|
||
.size $fname,(.-$fname)
|
||
.asciz "Montgomery Multipltication for SPARCv9, CRYPTOGAMS by <appro\@openssl.org>"
|
||
.align 32
|
||
___
|
||
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
|
||
print $code;
|
||
close STDOUT;
|