e4693b4e2a
The problem remained unnoticed so far, because it's never called by default. You have to craft OPENSSL_ppccap environment variable to trigger the problem. Reviewed-by: Richard Levitte <levitte@openssl.org>
1628 lines
39 KiB
Raku
1628 lines
39 KiB
Raku
#!/usr/bin/env perl
|
||
|
||
# ====================================================================
|
||
# 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/.
|
||
# ====================================================================
|
||
|
||
# December 2007
|
||
|
||
# The reason for undertaken effort is basically following. Even though
|
||
# Power 6 CPU operates at incredible 4.7GHz clock frequency, its PKI
|
||
# performance was observed to be less than impressive, essentially as
|
||
# fast as 1.8GHz PPC970, or 2.6 times(!) slower than one would hope.
|
||
# Well, it's not surprising that IBM had to make some sacrifices to
|
||
# boost the clock frequency that much, but no overall improvement?
|
||
# Having observed how much difference did switching to FPU make on
|
||
# UltraSPARC, playing same stunt on Power 6 appeared appropriate...
|
||
# Unfortunately the resulting performance improvement is not as
|
||
# impressive, ~30%, and in absolute terms is still very far from what
|
||
# one would expect from 4.7GHz CPU. There is a chance that I'm doing
|
||
# something wrong, but in the lack of assembler level micro-profiling
|
||
# data or at least decent platform guide I can't tell... Or better
|
||
# results might be achieved with VMX... Anyway, this module provides
|
||
# *worse* performance on other PowerPC implementations, ~40-15% slower
|
||
# on PPC970 depending on key length and ~40% slower on Power 5 for all
|
||
# key lengths. As it's obviously inappropriate as "best all-round"
|
||
# alternative, it has to be complemented with run-time CPU family
|
||
# detection. Oh! It should also be noted that unlike other PowerPC
|
||
# implementation IALU ppc-mont.pl module performs *suboptimaly* on
|
||
# >=1024-bit key lengths on Power 6. It should also be noted that
|
||
# *everything* said so far applies to 64-bit builds! As far as 32-bit
|
||
# application executed on 64-bit CPU goes, this module is likely to
|
||
# become preferred choice, because it's easy to adapt it for such
|
||
# case and *is* faster than 32-bit ppc-mont.pl on *all* processors.
|
||
|
||
# February 2008
|
||
|
||
# Micro-profiling assisted optimization results in ~15% improvement
|
||
# over original ppc64-mont.pl version, or overall ~50% improvement
|
||
# over ppc.pl module on Power 6. If compared to ppc-mont.pl on same
|
||
# Power 6 CPU, this module is 5-150% faster depending on key length,
|
||
# [hereafter] more for longer keys. But if compared to ppc-mont.pl
|
||
# on 1.8GHz PPC970, it's only 5-55% faster. Still far from impressive
|
||
# in absolute terms, but it's apparently the way Power 6 is...
|
||
|
||
# December 2009
|
||
|
||
# Adapted for 32-bit build this module delivers 25-120%, yes, more
|
||
# than *twice* for longer keys, performance improvement over 32-bit
|
||
# ppc-mont.pl on 1.8GHz PPC970. However! This implementation utilizes
|
||
# even 64-bit integer operations and the trouble is that most PPC
|
||
# operating systems don't preserve upper halves of general purpose
|
||
# registers upon 32-bit signal delivery. They do preserve them upon
|
||
# context switch, but not signalling:-( This means that asynchronous
|
||
# signals have to be blocked upon entry to this subroutine. Signal
|
||
# masking (and of course complementary unmasking) has quite an impact
|
||
# on performance, naturally larger for shorter keys. It's so severe
|
||
# that 512-bit key performance can be as low as 1/3 of expected one.
|
||
# This is why this routine can be engaged for longer key operations
|
||
# only on these OSes, see crypto/ppccap.c for further details. MacOS X
|
||
# is an exception from this and doesn't require signal masking, and
|
||
# that's where above improvement coefficients were collected. For
|
||
# others alternative would be to break dependence on upper halves of
|
||
# GPRs by sticking to 32-bit integer operations...
|
||
|
||
# December 2012
|
||
|
||
# Remove above mentioned dependence on GPRs' upper halves in 32-bit
|
||
# build. No signal masking overhead, but integer instructions are
|
||
# *more* numerous... It's still "universally" faster than 32-bit
|
||
# ppc-mont.pl, but improvement coefficient is not as impressive
|
||
# for longer keys...
|
||
|
||
$flavour = shift;
|
||
|
||
if ($flavour =~ /32/) {
|
||
$SIZE_T=4;
|
||
$RZONE= 224;
|
||
$fname= "bn_mul_mont_fpu64";
|
||
|
||
$STUX= "stwux"; # store indexed and update
|
||
$PUSH= "stw";
|
||
$POP= "lwz";
|
||
} elsif ($flavour =~ /64/) {
|
||
$SIZE_T=8;
|
||
$RZONE= 288;
|
||
$fname= "bn_mul_mont_fpu64";
|
||
|
||
# same as above, but 64-bit mnemonics...
|
||
$STUX= "stdux"; # store indexed and update
|
||
$PUSH= "std";
|
||
$POP= "ld";
|
||
} else { die "nonsense $flavour"; }
|
||
|
||
$LITTLE_ENDIAN = ($flavour=~/le$/) ? 4 : 0;
|
||
|
||
$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
|
||
( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
|
||
( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
|
||
die "can't locate ppc-xlate.pl";
|
||
|
||
open STDOUT,"| $^X $xlate $flavour ".shift || die "can't call $xlate: $!";
|
||
|
||
$FRAME=64; # padded frame header
|
||
$TRANSFER=16*8;
|
||
|
||
$carry="r0";
|
||
$sp="r1";
|
||
$toc="r2";
|
||
$rp="r3"; $ovf="r3";
|
||
$ap="r4";
|
||
$bp="r5";
|
||
$np="r6";
|
||
$n0="r7";
|
||
$num="r8";
|
||
$rp="r9"; # $rp is reassigned
|
||
$tp="r10";
|
||
$j="r11";
|
||
$i="r12";
|
||
# non-volatile registers
|
||
$c1="r19";
|
||
$n1="r20";
|
||
$a1="r21";
|
||
$nap_d="r22"; # interleaved ap and np in double format
|
||
$a0="r23"; # ap[0]
|
||
$t0="r24"; # temporary registers
|
||
$t1="r25";
|
||
$t2="r26";
|
||
$t3="r27";
|
||
$t4="r28";
|
||
$t5="r29";
|
||
$t6="r30";
|
||
$t7="r31";
|
||
|
||
# PPC offers enough register bank capacity to unroll inner loops twice
|
||
#
|
||
# ..A3A2A1A0
|
||
# dcba
|
||
# -----------
|
||
# A0a
|
||
# A0b
|
||
# A0c
|
||
# A0d
|
||
# A1a
|
||
# A1b
|
||
# A1c
|
||
# A1d
|
||
# A2a
|
||
# A2b
|
||
# A2c
|
||
# A2d
|
||
# A3a
|
||
# A3b
|
||
# A3c
|
||
# A3d
|
||
# ..a
|
||
# ..b
|
||
#
|
||
$ba="f0"; $bb="f1"; $bc="f2"; $bd="f3";
|
||
$na="f4"; $nb="f5"; $nc="f6"; $nd="f7";
|
||
$dota="f8"; $dotb="f9";
|
||
$A0="f10"; $A1="f11"; $A2="f12"; $A3="f13";
|
||
$N0="f20"; $N1="f21"; $N2="f22"; $N3="f23";
|
||
$T0a="f24"; $T0b="f25";
|
||
$T1a="f26"; $T1b="f27";
|
||
$T2a="f28"; $T2b="f29";
|
||
$T3a="f30"; $T3b="f31";
|
||
|
||
# sp----------->+-------------------------------+
|
||
# | saved sp |
|
||
# +-------------------------------+
|
||
# . .
|
||
# +64 +-------------------------------+
|
||
# | 16 gpr<->fpr transfer zone |
|
||
# . .
|
||
# . .
|
||
# +16*8 +-------------------------------+
|
||
# | __int64 tmp[-1] |
|
||
# +-------------------------------+
|
||
# | __int64 tmp[num] |
|
||
# . .
|
||
# . .
|
||
# . .
|
||
# +(num+1)*8 +-------------------------------+
|
||
# | padding to 64 byte boundary |
|
||
# . .
|
||
# +X +-------------------------------+
|
||
# | double nap_d[4*num] |
|
||
# . .
|
||
# . .
|
||
# . .
|
||
# +-------------------------------+
|
||
# . .
|
||
# -13*size_t +-------------------------------+
|
||
# | 13 saved gpr, r19-r31 |
|
||
# . .
|
||
# . .
|
||
# -12*8 +-------------------------------+
|
||
# | 12 saved fpr, f20-f31 |
|
||
# . .
|
||
# . .
|
||
# +-------------------------------+
|
||
|
||
$code=<<___;
|
||
.machine "any"
|
||
.text
|
||
|
||
.globl .$fname
|
||
.align 5
|
||
.$fname:
|
||
cmpwi $num,`3*8/$SIZE_T`
|
||
mr $rp,r3 ; $rp is reassigned
|
||
li r3,0 ; possible "not handled" return code
|
||
bltlr-
|
||
andi. r0,$num,`16/$SIZE_T-1` ; $num has to be "even"
|
||
bnelr-
|
||
|
||
slwi $num,$num,`log($SIZE_T)/log(2)` ; num*=sizeof(BN_LONG)
|
||
li $i,-4096
|
||
slwi $tp,$num,2 ; place for {an}p_{lh}[num], i.e. 4*num
|
||
add $tp,$tp,$num ; place for tp[num+1]
|
||
addi $tp,$tp,`$FRAME+$TRANSFER+8+64+$RZONE`
|
||
subf $tp,$tp,$sp ; $sp-$tp
|
||
and $tp,$tp,$i ; minimize TLB usage
|
||
subf $tp,$sp,$tp ; $tp-$sp
|
||
mr $i,$sp
|
||
$STUX $sp,$sp,$tp ; alloca
|
||
|
||
$PUSH r19,`-12*8-13*$SIZE_T`($i)
|
||
$PUSH r20,`-12*8-12*$SIZE_T`($i)
|
||
$PUSH r21,`-12*8-11*$SIZE_T`($i)
|
||
$PUSH r22,`-12*8-10*$SIZE_T`($i)
|
||
$PUSH r23,`-12*8-9*$SIZE_T`($i)
|
||
$PUSH r24,`-12*8-8*$SIZE_T`($i)
|
||
$PUSH r25,`-12*8-7*$SIZE_T`($i)
|
||
$PUSH r26,`-12*8-6*$SIZE_T`($i)
|
||
$PUSH r27,`-12*8-5*$SIZE_T`($i)
|
||
$PUSH r28,`-12*8-4*$SIZE_T`($i)
|
||
$PUSH r29,`-12*8-3*$SIZE_T`($i)
|
||
$PUSH r30,`-12*8-2*$SIZE_T`($i)
|
||
$PUSH r31,`-12*8-1*$SIZE_T`($i)
|
||
stfd f20,`-12*8`($i)
|
||
stfd f21,`-11*8`($i)
|
||
stfd f22,`-10*8`($i)
|
||
stfd f23,`-9*8`($i)
|
||
stfd f24,`-8*8`($i)
|
||
stfd f25,`-7*8`($i)
|
||
stfd f26,`-6*8`($i)
|
||
stfd f27,`-5*8`($i)
|
||
stfd f28,`-4*8`($i)
|
||
stfd f29,`-3*8`($i)
|
||
stfd f30,`-2*8`($i)
|
||
stfd f31,`-1*8`($i)
|
||
|
||
addi $tp,$sp,`$FRAME+$TRANSFER+8+64`
|
||
li $i,-64
|
||
add $nap_d,$tp,$num
|
||
and $nap_d,$nap_d,$i ; align to 64 bytes
|
||
; nap_d is off by 1, because it's used with stfdu/lfdu
|
||
addi $nap_d,$nap_d,-8
|
||
srwi $j,$num,`3+1` ; counter register, num/2
|
||
addi $j,$j,-1
|
||
addi $tp,$sp,`$FRAME+$TRANSFER-8`
|
||
li $carry,0
|
||
mtctr $j
|
||
___
|
||
|
||
$code.=<<___ if ($SIZE_T==8);
|
||
ld $a0,0($ap) ; pull ap[0] value
|
||
ld $t3,0($bp) ; bp[0]
|
||
ld $n0,0($n0) ; pull n0[0] value
|
||
|
||
mulld $t7,$a0,$t3 ; ap[0]*bp[0]
|
||
; transfer bp[0] to FPU as 4x16-bit values
|
||
extrdi $t0,$t3,16,48
|
||
extrdi $t1,$t3,16,32
|
||
extrdi $t2,$t3,16,16
|
||
extrdi $t3,$t3,16,0
|
||
std $t0,`$FRAME+0`($sp)
|
||
std $t1,`$FRAME+8`($sp)
|
||
std $t2,`$FRAME+16`($sp)
|
||
std $t3,`$FRAME+24`($sp)
|
||
|
||
mulld $t7,$t7,$n0 ; tp[0]*n0
|
||
; transfer (ap[0]*bp[0])*n0 to FPU as 4x16-bit values
|
||
extrdi $t4,$t7,16,48
|
||
extrdi $t5,$t7,16,32
|
||
extrdi $t6,$t7,16,16
|
||
extrdi $t7,$t7,16,0
|
||
std $t4,`$FRAME+32`($sp)
|
||
std $t5,`$FRAME+40`($sp)
|
||
std $t6,`$FRAME+48`($sp)
|
||
std $t7,`$FRAME+56`($sp)
|
||
|
||
extrdi $t0,$a0,32,32 ; lwz $t0,4($ap)
|
||
extrdi $t1,$a0,32,0 ; lwz $t1,0($ap)
|
||
lwz $t2,`12^$LITTLE_ENDIAN`($ap) ; load a[1] as 32-bit word pair
|
||
lwz $t3,`8^$LITTLE_ENDIAN`($ap)
|
||
lwz $t4,`4^$LITTLE_ENDIAN`($np) ; load n[0] as 32-bit word pair
|
||
lwz $t5,`0^$LITTLE_ENDIAN`($np)
|
||
lwz $t6,`12^$LITTLE_ENDIAN`($np) ; load n[1] as 32-bit word pair
|
||
lwz $t7,`8^$LITTLE_ENDIAN`($np)
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4);
|
||
lwz $a0,0($ap) ; pull ap[0,1] value
|
||
mr $n1,$n0
|
||
lwz $a1,4($ap)
|
||
li $c1,0
|
||
lwz $t1,0($bp) ; bp[0,1]
|
||
lwz $t3,4($bp)
|
||
lwz $n0,0($n1) ; pull n0[0,1] value
|
||
lwz $n1,4($n1)
|
||
|
||
mullw $t4,$a0,$t1 ; mulld ap[0]*bp[0]
|
||
mulhwu $t5,$a0,$t1
|
||
mullw $t6,$a1,$t1
|
||
mullw $t7,$a0,$t3
|
||
add $t5,$t5,$t6
|
||
add $t5,$t5,$t7
|
||
; transfer bp[0] to FPU as 4x16-bit values
|
||
extrwi $t0,$t1,16,16
|
||
extrwi $t1,$t1,16,0
|
||
extrwi $t2,$t3,16,16
|
||
extrwi $t3,$t3,16,0
|
||
std $t0,`$FRAME+0`($sp) ; yes, std in 32-bit build
|
||
std $t1,`$FRAME+8`($sp)
|
||
std $t2,`$FRAME+16`($sp)
|
||
std $t3,`$FRAME+24`($sp)
|
||
|
||
mullw $t0,$t4,$n0 ; mulld tp[0]*n0
|
||
mulhwu $t1,$t4,$n0
|
||
mullw $t2,$t5,$n0
|
||
mullw $t3,$t4,$n1
|
||
add $t1,$t1,$t2
|
||
add $t1,$t1,$t3
|
||
; transfer (ap[0]*bp[0])*n0 to FPU as 4x16-bit values
|
||
extrwi $t4,$t0,16,16
|
||
extrwi $t5,$t0,16,0
|
||
extrwi $t6,$t1,16,16
|
||
extrwi $t7,$t1,16,0
|
||
std $t4,`$FRAME+32`($sp) ; yes, std in 32-bit build
|
||
std $t5,`$FRAME+40`($sp)
|
||
std $t6,`$FRAME+48`($sp)
|
||
std $t7,`$FRAME+56`($sp)
|
||
|
||
mr $t0,$a0 ; lwz $t0,0($ap)
|
||
mr $t1,$a1 ; lwz $t1,4($ap)
|
||
lwz $t2,8($ap) ; load a[j..j+3] as 32-bit word pairs
|
||
lwz $t3,12($ap)
|
||
lwz $t4,0($np) ; load n[j..j+3] as 32-bit word pairs
|
||
lwz $t5,4($np)
|
||
lwz $t6,8($np)
|
||
lwz $t7,12($np)
|
||
___
|
||
$code.=<<___;
|
||
lfd $ba,`$FRAME+0`($sp)
|
||
lfd $bb,`$FRAME+8`($sp)
|
||
lfd $bc,`$FRAME+16`($sp)
|
||
lfd $bd,`$FRAME+24`($sp)
|
||
lfd $na,`$FRAME+32`($sp)
|
||
lfd $nb,`$FRAME+40`($sp)
|
||
lfd $nc,`$FRAME+48`($sp)
|
||
lfd $nd,`$FRAME+56`($sp)
|
||
std $t0,`$FRAME+64`($sp) ; yes, std even in 32-bit build
|
||
std $t1,`$FRAME+72`($sp)
|
||
std $t2,`$FRAME+80`($sp)
|
||
std $t3,`$FRAME+88`($sp)
|
||
std $t4,`$FRAME+96`($sp)
|
||
std $t5,`$FRAME+104`($sp)
|
||
std $t6,`$FRAME+112`($sp)
|
||
std $t7,`$FRAME+120`($sp)
|
||
fcfid $ba,$ba
|
||
fcfid $bb,$bb
|
||
fcfid $bc,$bc
|
||
fcfid $bd,$bd
|
||
fcfid $na,$na
|
||
fcfid $nb,$nb
|
||
fcfid $nc,$nc
|
||
fcfid $nd,$nd
|
||
|
||
lfd $A0,`$FRAME+64`($sp)
|
||
lfd $A1,`$FRAME+72`($sp)
|
||
lfd $A2,`$FRAME+80`($sp)
|
||
lfd $A3,`$FRAME+88`($sp)
|
||
lfd $N0,`$FRAME+96`($sp)
|
||
lfd $N1,`$FRAME+104`($sp)
|
||
lfd $N2,`$FRAME+112`($sp)
|
||
lfd $N3,`$FRAME+120`($sp)
|
||
fcfid $A0,$A0
|
||
fcfid $A1,$A1
|
||
fcfid $A2,$A2
|
||
fcfid $A3,$A3
|
||
fcfid $N0,$N0
|
||
fcfid $N1,$N1
|
||
fcfid $N2,$N2
|
||
fcfid $N3,$N3
|
||
addi $ap,$ap,16
|
||
addi $np,$np,16
|
||
|
||
fmul $T1a,$A1,$ba
|
||
fmul $T1b,$A1,$bb
|
||
stfd $A0,8($nap_d) ; save a[j] in double format
|
||
stfd $A1,16($nap_d)
|
||
fmul $T2a,$A2,$ba
|
||
fmul $T2b,$A2,$bb
|
||
stfd $A2,24($nap_d) ; save a[j+1] in double format
|
||
stfd $A3,32($nap_d)
|
||
fmul $T3a,$A3,$ba
|
||
fmul $T3b,$A3,$bb
|
||
stfd $N0,40($nap_d) ; save n[j] in double format
|
||
stfd $N1,48($nap_d)
|
||
fmul $T0a,$A0,$ba
|
||
fmul $T0b,$A0,$bb
|
||
stfd $N2,56($nap_d) ; save n[j+1] in double format
|
||
stfdu $N3,64($nap_d)
|
||
|
||
fmadd $T1a,$A0,$bc,$T1a
|
||
fmadd $T1b,$A0,$bd,$T1b
|
||
fmadd $T2a,$A1,$bc,$T2a
|
||
fmadd $T2b,$A1,$bd,$T2b
|
||
fmadd $T3a,$A2,$bc,$T3a
|
||
fmadd $T3b,$A2,$bd,$T3b
|
||
fmul $dota,$A3,$bc
|
||
fmul $dotb,$A3,$bd
|
||
|
||
fmadd $T1a,$N1,$na,$T1a
|
||
fmadd $T1b,$N1,$nb,$T1b
|
||
fmadd $T2a,$N2,$na,$T2a
|
||
fmadd $T2b,$N2,$nb,$T2b
|
||
fmadd $T3a,$N3,$na,$T3a
|
||
fmadd $T3b,$N3,$nb,$T3b
|
||
fmadd $T0a,$N0,$na,$T0a
|
||
fmadd $T0b,$N0,$nb,$T0b
|
||
|
||
fmadd $T1a,$N0,$nc,$T1a
|
||
fmadd $T1b,$N0,$nd,$T1b
|
||
fmadd $T2a,$N1,$nc,$T2a
|
||
fmadd $T2b,$N1,$nd,$T2b
|
||
fmadd $T3a,$N2,$nc,$T3a
|
||
fmadd $T3b,$N2,$nd,$T3b
|
||
fmadd $dota,$N3,$nc,$dota
|
||
fmadd $dotb,$N3,$nd,$dotb
|
||
|
||
fctid $T0a,$T0a
|
||
fctid $T0b,$T0b
|
||
fctid $T1a,$T1a
|
||
fctid $T1b,$T1b
|
||
fctid $T2a,$T2a
|
||
fctid $T2b,$T2b
|
||
fctid $T3a,$T3a
|
||
fctid $T3b,$T3b
|
||
|
||
stfd $T0a,`$FRAME+0`($sp)
|
||
stfd $T0b,`$FRAME+8`($sp)
|
||
stfd $T1a,`$FRAME+16`($sp)
|
||
stfd $T1b,`$FRAME+24`($sp)
|
||
stfd $T2a,`$FRAME+32`($sp)
|
||
stfd $T2b,`$FRAME+40`($sp)
|
||
stfd $T3a,`$FRAME+48`($sp)
|
||
stfd $T3b,`$FRAME+56`($sp)
|
||
|
||
.align 5
|
||
L1st:
|
||
___
|
||
$code.=<<___ if ($SIZE_T==8);
|
||
lwz $t0,`4^$LITTLE_ENDIAN`($ap) ; load a[j] as 32-bit word pair
|
||
lwz $t1,`0^$LITTLE_ENDIAN`($ap)
|
||
lwz $t2,`12^$LITTLE_ENDIAN`($ap) ; load a[j+1] as 32-bit word pair
|
||
lwz $t3,`8^$LITTLE_ENDIAN`($ap)
|
||
lwz $t4,`4^$LITTLE_ENDIAN`($np) ; load n[j] as 32-bit word pair
|
||
lwz $t5,`0^$LITTLE_ENDIAN`($np)
|
||
lwz $t6,`12^$LITTLE_ENDIAN`($np) ; load n[j+1] as 32-bit word pair
|
||
lwz $t7,`8^$LITTLE_ENDIAN`($np)
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4);
|
||
lwz $t0,0($ap) ; load a[j..j+3] as 32-bit word pairs
|
||
lwz $t1,4($ap)
|
||
lwz $t2,8($ap)
|
||
lwz $t3,12($ap)
|
||
lwz $t4,0($np) ; load n[j..j+3] as 32-bit word pairs
|
||
lwz $t5,4($np)
|
||
lwz $t6,8($np)
|
||
lwz $t7,12($np)
|
||
___
|
||
$code.=<<___;
|
||
std $t0,`$FRAME+64`($sp) ; yes, std even in 32-bit build
|
||
std $t1,`$FRAME+72`($sp)
|
||
std $t2,`$FRAME+80`($sp)
|
||
std $t3,`$FRAME+88`($sp)
|
||
std $t4,`$FRAME+96`($sp)
|
||
std $t5,`$FRAME+104`($sp)
|
||
std $t6,`$FRAME+112`($sp)
|
||
std $t7,`$FRAME+120`($sp)
|
||
___
|
||
if ($SIZE_T==8 or $flavour =~ /osx/) {
|
||
$code.=<<___;
|
||
ld $t0,`$FRAME+0`($sp)
|
||
ld $t1,`$FRAME+8`($sp)
|
||
ld $t2,`$FRAME+16`($sp)
|
||
ld $t3,`$FRAME+24`($sp)
|
||
ld $t4,`$FRAME+32`($sp)
|
||
ld $t5,`$FRAME+40`($sp)
|
||
ld $t6,`$FRAME+48`($sp)
|
||
ld $t7,`$FRAME+56`($sp)
|
||
___
|
||
} else {
|
||
$code.=<<___;
|
||
lwz $t1,`$FRAME+0^$LITTLE_ENDIAN`($sp)
|
||
lwz $t0,`$FRAME+4^$LITTLE_ENDIAN`($sp)
|
||
lwz $t3,`$FRAME+8^$LITTLE_ENDIAN`($sp)
|
||
lwz $t2,`$FRAME+12^$LITTLE_ENDIAN`($sp)
|
||
lwz $t5,`$FRAME+16^$LITTLE_ENDIAN`($sp)
|
||
lwz $t4,`$FRAME+20^$LITTLE_ENDIAN`($sp)
|
||
lwz $t7,`$FRAME+24^$LITTLE_ENDIAN`($sp)
|
||
lwz $t6,`$FRAME+28^$LITTLE_ENDIAN`($sp)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
lfd $A0,`$FRAME+64`($sp)
|
||
lfd $A1,`$FRAME+72`($sp)
|
||
lfd $A2,`$FRAME+80`($sp)
|
||
lfd $A3,`$FRAME+88`($sp)
|
||
lfd $N0,`$FRAME+96`($sp)
|
||
lfd $N1,`$FRAME+104`($sp)
|
||
lfd $N2,`$FRAME+112`($sp)
|
||
lfd $N3,`$FRAME+120`($sp)
|
||
fcfid $A0,$A0
|
||
fcfid $A1,$A1
|
||
fcfid $A2,$A2
|
||
fcfid $A3,$A3
|
||
fcfid $N0,$N0
|
||
fcfid $N1,$N1
|
||
fcfid $N2,$N2
|
||
fcfid $N3,$N3
|
||
addi $ap,$ap,16
|
||
addi $np,$np,16
|
||
|
||
fmul $T1a,$A1,$ba
|
||
fmul $T1b,$A1,$bb
|
||
fmul $T2a,$A2,$ba
|
||
fmul $T2b,$A2,$bb
|
||
stfd $A0,8($nap_d) ; save a[j] in double format
|
||
stfd $A1,16($nap_d)
|
||
fmul $T3a,$A3,$ba
|
||
fmul $T3b,$A3,$bb
|
||
fmadd $T0a,$A0,$ba,$dota
|
||
fmadd $T0b,$A0,$bb,$dotb
|
||
stfd $A2,24($nap_d) ; save a[j+1] in double format
|
||
stfd $A3,32($nap_d)
|
||
___
|
||
if ($SIZE_T==8 or $flavour =~ /osx/) {
|
||
$code.=<<___;
|
||
fmadd $T1a,$A0,$bc,$T1a
|
||
fmadd $T1b,$A0,$bd,$T1b
|
||
fmadd $T2a,$A1,$bc,$T2a
|
||
fmadd $T2b,$A1,$bd,$T2b
|
||
stfd $N0,40($nap_d) ; save n[j] in double format
|
||
stfd $N1,48($nap_d)
|
||
fmadd $T3a,$A2,$bc,$T3a
|
||
fmadd $T3b,$A2,$bd,$T3b
|
||
add $t0,$t0,$carry ; can not overflow
|
||
fmul $dota,$A3,$bc
|
||
fmul $dotb,$A3,$bd
|
||
stfd $N2,56($nap_d) ; save n[j+1] in double format
|
||
stfdu $N3,64($nap_d)
|
||
srdi $carry,$t0,16
|
||
add $t1,$t1,$carry
|
||
srdi $carry,$t1,16
|
||
|
||
fmadd $T1a,$N1,$na,$T1a
|
||
fmadd $T1b,$N1,$nb,$T1b
|
||
insrdi $t0,$t1,16,32
|
||
fmadd $T2a,$N2,$na,$T2a
|
||
fmadd $T2b,$N2,$nb,$T2b
|
||
add $t2,$t2,$carry
|
||
fmadd $T3a,$N3,$na,$T3a
|
||
fmadd $T3b,$N3,$nb,$T3b
|
||
srdi $carry,$t2,16
|
||
fmadd $T0a,$N0,$na,$T0a
|
||
fmadd $T0b,$N0,$nb,$T0b
|
||
insrdi $t0,$t2,16,16
|
||
add $t3,$t3,$carry
|
||
srdi $carry,$t3,16
|
||
|
||
fmadd $T1a,$N0,$nc,$T1a
|
||
fmadd $T1b,$N0,$nd,$T1b
|
||
insrdi $t0,$t3,16,0 ; 0..63 bits
|
||
fmadd $T2a,$N1,$nc,$T2a
|
||
fmadd $T2b,$N1,$nd,$T2b
|
||
add $t4,$t4,$carry
|
||
fmadd $T3a,$N2,$nc,$T3a
|
||
fmadd $T3b,$N2,$nd,$T3b
|
||
srdi $carry,$t4,16
|
||
fmadd $dota,$N3,$nc,$dota
|
||
fmadd $dotb,$N3,$nd,$dotb
|
||
add $t5,$t5,$carry
|
||
srdi $carry,$t5,16
|
||
insrdi $t4,$t5,16,32
|
||
|
||
fctid $T0a,$T0a
|
||
fctid $T0b,$T0b
|
||
add $t6,$t6,$carry
|
||
fctid $T1a,$T1a
|
||
fctid $T1b,$T1b
|
||
srdi $carry,$t6,16
|
||
fctid $T2a,$T2a
|
||
fctid $T2b,$T2b
|
||
insrdi $t4,$t6,16,16
|
||
fctid $T3a,$T3a
|
||
fctid $T3b,$T3b
|
||
add $t7,$t7,$carry
|
||
insrdi $t4,$t7,16,0 ; 64..127 bits
|
||
srdi $carry,$t7,16 ; upper 33 bits
|
||
|
||
stfd $T0a,`$FRAME+0`($sp)
|
||
stfd $T0b,`$FRAME+8`($sp)
|
||
stfd $T1a,`$FRAME+16`($sp)
|
||
stfd $T1b,`$FRAME+24`($sp)
|
||
stfd $T2a,`$FRAME+32`($sp)
|
||
stfd $T2b,`$FRAME+40`($sp)
|
||
stfd $T3a,`$FRAME+48`($sp)
|
||
stfd $T3b,`$FRAME+56`($sp)
|
||
std $t0,8($tp) ; tp[j-1]
|
||
stdu $t4,16($tp) ; tp[j]
|
||
___
|
||
} else {
|
||
$code.=<<___;
|
||
fmadd $T1a,$A0,$bc,$T1a
|
||
fmadd $T1b,$A0,$bd,$T1b
|
||
addc $t0,$t0,$carry
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
fmadd $T2a,$A1,$bc,$T2a
|
||
fmadd $T2b,$A1,$bd,$T2b
|
||
stfd $N0,40($nap_d) ; save n[j] in double format
|
||
stfd $N1,48($nap_d)
|
||
srwi $c1,$t1,16
|
||
insrwi $carry,$t1,16,0
|
||
fmadd $T3a,$A2,$bc,$T3a
|
||
fmadd $T3b,$A2,$bd,$T3b
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
fmul $dota,$A3,$bc
|
||
fmul $dotb,$A3,$bd
|
||
stfd $N2,56($nap_d) ; save n[j+1] in double format
|
||
stfdu $N3,64($nap_d)
|
||
insrwi $t0,$t2,16,0 ; 0..31 bits
|
||
srwi $c1,$t3,16
|
||
insrwi $carry,$t3,16,0
|
||
|
||
fmadd $T1a,$N1,$na,$T1a
|
||
fmadd $T1b,$N1,$nb,$T1b
|
||
lwz $t3,`$FRAME+32^$LITTLE_ENDIAN`($sp) ; permuted $t1
|
||
lwz $t2,`$FRAME+36^$LITTLE_ENDIAN`($sp) ; permuted $t0
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
fmadd $T2a,$N2,$na,$T2a
|
||
fmadd $T2b,$N2,$nb,$T2b
|
||
srwi $c1,$t5,16
|
||
insrwi $carry,$t5,16,0
|
||
fmadd $T3a,$N3,$na,$T3a
|
||
fmadd $T3b,$N3,$nb,$T3b
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
fmadd $T0a,$N0,$na,$T0a
|
||
fmadd $T0b,$N0,$nb,$T0b
|
||
insrwi $t4,$t6,16,0 ; 32..63 bits
|
||
srwi $c1,$t7,16
|
||
insrwi $carry,$t7,16,0
|
||
|
||
fmadd $T1a,$N0,$nc,$T1a
|
||
fmadd $T1b,$N0,$nd,$T1b
|
||
lwz $t7,`$FRAME+40^$LITTLE_ENDIAN`($sp) ; permuted $t3
|
||
lwz $t6,`$FRAME+44^$LITTLE_ENDIAN`($sp) ; permuted $t2
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
fmadd $T2a,$N1,$nc,$T2a
|
||
fmadd $T2b,$N1,$nd,$T2b
|
||
stw $t0,12($tp) ; tp[j-1]
|
||
stw $t4,8($tp)
|
||
srwi $c1,$t3,16
|
||
insrwi $carry,$t3,16,0
|
||
fmadd $T3a,$N2,$nc,$T3a
|
||
fmadd $T3b,$N2,$nd,$T3b
|
||
lwz $t1,`$FRAME+48^$LITTLE_ENDIAN`($sp) ; permuted $t5
|
||
lwz $t0,`$FRAME+52^$LITTLE_ENDIAN`($sp) ; permuted $t4
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
fmadd $dota,$N3,$nc,$dota
|
||
fmadd $dotb,$N3,$nd,$dotb
|
||
insrwi $t2,$t6,16,0 ; 64..95 bits
|
||
srwi $c1,$t7,16
|
||
insrwi $carry,$t7,16,0
|
||
|
||
fctid $T0a,$T0a
|
||
fctid $T0b,$T0b
|
||
lwz $t5,`$FRAME+56^$LITTLE_ENDIAN`($sp) ; permuted $t7
|
||
lwz $t4,`$FRAME+60^$LITTLE_ENDIAN`($sp) ; permuted $t6
|
||
addc $t0,$t0,$carry
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
fctid $T1a,$T1a
|
||
fctid $T1b,$T1b
|
||
srwi $c1,$t1,16
|
||
insrwi $carry,$t1,16,0
|
||
fctid $T2a,$T2a
|
||
fctid $T2b,$T2b
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
fctid $T3a,$T3a
|
||
fctid $T3b,$T3b
|
||
insrwi $t0,$t4,16,0 ; 96..127 bits
|
||
srwi $c1,$t5,16
|
||
insrwi $carry,$t5,16,0
|
||
|
||
stfd $T0a,`$FRAME+0`($sp)
|
||
stfd $T0b,`$FRAME+8`($sp)
|
||
stfd $T1a,`$FRAME+16`($sp)
|
||
stfd $T1b,`$FRAME+24`($sp)
|
||
stfd $T2a,`$FRAME+32`($sp)
|
||
stfd $T2b,`$FRAME+40`($sp)
|
||
stfd $T3a,`$FRAME+48`($sp)
|
||
stfd $T3b,`$FRAME+56`($sp)
|
||
stw $t2,20($tp) ; tp[j]
|
||
stwu $t0,16($tp)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
bdnz- L1st
|
||
|
||
fctid $dota,$dota
|
||
fctid $dotb,$dotb
|
||
___
|
||
if ($SIZE_T==8 or $flavour =~ /osx/) {
|
||
$code.=<<___;
|
||
ld $t0,`$FRAME+0`($sp)
|
||
ld $t1,`$FRAME+8`($sp)
|
||
ld $t2,`$FRAME+16`($sp)
|
||
ld $t3,`$FRAME+24`($sp)
|
||
ld $t4,`$FRAME+32`($sp)
|
||
ld $t5,`$FRAME+40`($sp)
|
||
ld $t6,`$FRAME+48`($sp)
|
||
ld $t7,`$FRAME+56`($sp)
|
||
stfd $dota,`$FRAME+64`($sp)
|
||
stfd $dotb,`$FRAME+72`($sp)
|
||
|
||
add $t0,$t0,$carry ; can not overflow
|
||
srdi $carry,$t0,16
|
||
add $t1,$t1,$carry
|
||
srdi $carry,$t1,16
|
||
insrdi $t0,$t1,16,32
|
||
add $t2,$t2,$carry
|
||
srdi $carry,$t2,16
|
||
insrdi $t0,$t2,16,16
|
||
add $t3,$t3,$carry
|
||
srdi $carry,$t3,16
|
||
insrdi $t0,$t3,16,0 ; 0..63 bits
|
||
add $t4,$t4,$carry
|
||
srdi $carry,$t4,16
|
||
add $t5,$t5,$carry
|
||
srdi $carry,$t5,16
|
||
insrdi $t4,$t5,16,32
|
||
add $t6,$t6,$carry
|
||
srdi $carry,$t6,16
|
||
insrdi $t4,$t6,16,16
|
||
add $t7,$t7,$carry
|
||
insrdi $t4,$t7,16,0 ; 64..127 bits
|
||
srdi $carry,$t7,16 ; upper 33 bits
|
||
ld $t6,`$FRAME+64`($sp)
|
||
ld $t7,`$FRAME+72`($sp)
|
||
|
||
std $t0,8($tp) ; tp[j-1]
|
||
stdu $t4,16($tp) ; tp[j]
|
||
|
||
add $t6,$t6,$carry ; can not overflow
|
||
srdi $carry,$t6,16
|
||
add $t7,$t7,$carry
|
||
insrdi $t6,$t7,48,0
|
||
srdi $ovf,$t7,48
|
||
std $t6,8($tp) ; tp[num-1]
|
||
___
|
||
} else {
|
||
$code.=<<___;
|
||
lwz $t1,`$FRAME+0^$LITTLE_ENDIAN`($sp)
|
||
lwz $t0,`$FRAME+4^$LITTLE_ENDIAN`($sp)
|
||
lwz $t3,`$FRAME+8^$LITTLE_ENDIAN`($sp)
|
||
lwz $t2,`$FRAME+12^$LITTLE_ENDIAN`($sp)
|
||
lwz $t5,`$FRAME+16^$LITTLE_ENDIAN`($sp)
|
||
lwz $t4,`$FRAME+20^$LITTLE_ENDIAN`($sp)
|
||
lwz $t7,`$FRAME+24^$LITTLE_ENDIAN`($sp)
|
||
lwz $t6,`$FRAME+28^$LITTLE_ENDIAN`($sp)
|
||
stfd $dota,`$FRAME+64`($sp)
|
||
stfd $dotb,`$FRAME+72`($sp)
|
||
|
||
addc $t0,$t0,$carry
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
insrwi $carry,$t1,16,0
|
||
srwi $c1,$t1,16
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
insrwi $t0,$t2,16,0 ; 0..31 bits
|
||
insrwi $carry,$t3,16,0
|
||
srwi $c1,$t3,16
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
insrwi $carry,$t5,16,0
|
||
srwi $c1,$t5,16
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
insrwi $t4,$t6,16,0 ; 32..63 bits
|
||
insrwi $carry,$t7,16,0
|
||
srwi $c1,$t7,16
|
||
stw $t0,12($tp) ; tp[j-1]
|
||
stw $t4,8($tp)
|
||
|
||
lwz $t3,`$FRAME+32^$LITTLE_ENDIAN`($sp) ; permuted $t1
|
||
lwz $t2,`$FRAME+36^$LITTLE_ENDIAN`($sp) ; permuted $t0
|
||
lwz $t7,`$FRAME+40^$LITTLE_ENDIAN`($sp) ; permuted $t3
|
||
lwz $t6,`$FRAME+44^$LITTLE_ENDIAN`($sp) ; permuted $t2
|
||
lwz $t1,`$FRAME+48^$LITTLE_ENDIAN`($sp) ; permuted $t5
|
||
lwz $t0,`$FRAME+52^$LITTLE_ENDIAN`($sp) ; permuted $t4
|
||
lwz $t5,`$FRAME+56^$LITTLE_ENDIAN`($sp) ; permuted $t7
|
||
lwz $t4,`$FRAME+60^$LITTLE_ENDIAN`($sp) ; permuted $t6
|
||
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
insrwi $carry,$t3,16,0
|
||
srwi $c1,$t3,16
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
insrwi $t2,$t6,16,0 ; 64..95 bits
|
||
insrwi $carry,$t7,16,0
|
||
srwi $c1,$t7,16
|
||
addc $t0,$t0,$carry
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
insrwi $carry,$t1,16,0
|
||
srwi $c1,$t1,16
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
insrwi $t0,$t4,16,0 ; 96..127 bits
|
||
insrwi $carry,$t5,16,0
|
||
srwi $c1,$t5,16
|
||
stw $t2,20($tp) ; tp[j]
|
||
stwu $t0,16($tp)
|
||
|
||
lwz $t7,`$FRAME+64^$LITTLE_ENDIAN`($sp)
|
||
lwz $t6,`$FRAME+68^$LITTLE_ENDIAN`($sp)
|
||
lwz $t5,`$FRAME+72^$LITTLE_ENDIAN`($sp)
|
||
lwz $t4,`$FRAME+76^$LITTLE_ENDIAN`($sp)
|
||
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
insrwi $carry,$t7,16,0
|
||
srwi $c1,$t7,16
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
|
||
insrwi $t6,$t4,16,0
|
||
srwi $t4,$t4,16
|
||
insrwi $t4,$t5,16,0
|
||
srwi $ovf,$t5,16
|
||
stw $t6,12($tp) ; tp[num-1]
|
||
stw $t4,8($tp)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
slwi $t7,$num,2
|
||
subf $nap_d,$t7,$nap_d ; rewind pointer
|
||
|
||
li $i,8 ; i=1
|
||
.align 5
|
||
Louter:
|
||
addi $tp,$sp,`$FRAME+$TRANSFER`
|
||
li $carry,0
|
||
mtctr $j
|
||
___
|
||
$code.=<<___ if ($SIZE_T==8);
|
||
ldx $t3,$bp,$i ; bp[i]
|
||
|
||
ld $t6,`$FRAME+$TRANSFER+8`($sp) ; tp[0]
|
||
mulld $t7,$a0,$t3 ; ap[0]*bp[i]
|
||
add $t7,$t7,$t6 ; ap[0]*bp[i]+tp[0]
|
||
; transfer bp[i] to FPU as 4x16-bit values
|
||
extrdi $t0,$t3,16,48
|
||
extrdi $t1,$t3,16,32
|
||
extrdi $t2,$t3,16,16
|
||
extrdi $t3,$t3,16,0
|
||
std $t0,`$FRAME+0`($sp)
|
||
std $t1,`$FRAME+8`($sp)
|
||
std $t2,`$FRAME+16`($sp)
|
||
std $t3,`$FRAME+24`($sp)
|
||
|
||
mulld $t7,$t7,$n0 ; tp[0]*n0
|
||
; transfer (ap[0]*bp[i]+tp[0])*n0 to FPU as 4x16-bit values
|
||
extrdi $t4,$t7,16,48
|
||
extrdi $t5,$t7,16,32
|
||
extrdi $t6,$t7,16,16
|
||
extrdi $t7,$t7,16,0
|
||
std $t4,`$FRAME+32`($sp)
|
||
std $t5,`$FRAME+40`($sp)
|
||
std $t6,`$FRAME+48`($sp)
|
||
std $t7,`$FRAME+56`($sp)
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4);
|
||
add $t0,$bp,$i
|
||
li $c1,0
|
||
lwz $t1,0($t0) ; bp[i,i+1]
|
||
lwz $t3,4($t0)
|
||
|
||
mullw $t4,$a0,$t1 ; ap[0]*bp[i]
|
||
lwz $t0,`$FRAME+$TRANSFER+8+4`($sp) ; tp[0]
|
||
mulhwu $t5,$a0,$t1
|
||
lwz $t2,`$FRAME+$TRANSFER+8`($sp) ; tp[0]
|
||
mullw $t6,$a1,$t1
|
||
mullw $t7,$a0,$t3
|
||
add $t5,$t5,$t6
|
||
add $t5,$t5,$t7
|
||
addc $t4,$t4,$t0 ; ap[0]*bp[i]+tp[0]
|
||
adde $t5,$t5,$t2
|
||
; transfer bp[i] to FPU as 4x16-bit values
|
||
extrwi $t0,$t1,16,16
|
||
extrwi $t1,$t1,16,0
|
||
extrwi $t2,$t3,16,16
|
||
extrwi $t3,$t3,16,0
|
||
std $t0,`$FRAME+0`($sp) ; yes, std in 32-bit build
|
||
std $t1,`$FRAME+8`($sp)
|
||
std $t2,`$FRAME+16`($sp)
|
||
std $t3,`$FRAME+24`($sp)
|
||
|
||
mullw $t0,$t4,$n0 ; mulld tp[0]*n0
|
||
mulhwu $t1,$t4,$n0
|
||
mullw $t2,$t5,$n0
|
||
mullw $t3,$t4,$n1
|
||
add $t1,$t1,$t2
|
||
add $t1,$t1,$t3
|
||
; transfer (ap[0]*bp[i]+tp[0])*n0 to FPU as 4x16-bit values
|
||
extrwi $t4,$t0,16,16
|
||
extrwi $t5,$t0,16,0
|
||
extrwi $t6,$t1,16,16
|
||
extrwi $t7,$t1,16,0
|
||
std $t4,`$FRAME+32`($sp) ; yes, std in 32-bit build
|
||
std $t5,`$FRAME+40`($sp)
|
||
std $t6,`$FRAME+48`($sp)
|
||
std $t7,`$FRAME+56`($sp)
|
||
___
|
||
$code.=<<___;
|
||
lfd $A0,8($nap_d) ; load a[j] in double format
|
||
lfd $A1,16($nap_d)
|
||
lfd $A2,24($nap_d) ; load a[j+1] in double format
|
||
lfd $A3,32($nap_d)
|
||
lfd $N0,40($nap_d) ; load n[j] in double format
|
||
lfd $N1,48($nap_d)
|
||
lfd $N2,56($nap_d) ; load n[j+1] in double format
|
||
lfdu $N3,64($nap_d)
|
||
|
||
lfd $ba,`$FRAME+0`($sp)
|
||
lfd $bb,`$FRAME+8`($sp)
|
||
lfd $bc,`$FRAME+16`($sp)
|
||
lfd $bd,`$FRAME+24`($sp)
|
||
lfd $na,`$FRAME+32`($sp)
|
||
lfd $nb,`$FRAME+40`($sp)
|
||
lfd $nc,`$FRAME+48`($sp)
|
||
lfd $nd,`$FRAME+56`($sp)
|
||
|
||
fcfid $ba,$ba
|
||
fcfid $bb,$bb
|
||
fcfid $bc,$bc
|
||
fcfid $bd,$bd
|
||
fcfid $na,$na
|
||
fcfid $nb,$nb
|
||
fcfid $nc,$nc
|
||
fcfid $nd,$nd
|
||
|
||
fmul $T1a,$A1,$ba
|
||
fmul $T1b,$A1,$bb
|
||
fmul $T2a,$A2,$ba
|
||
fmul $T2b,$A2,$bb
|
||
fmul $T3a,$A3,$ba
|
||
fmul $T3b,$A3,$bb
|
||
fmul $T0a,$A0,$ba
|
||
fmul $T0b,$A0,$bb
|
||
|
||
fmadd $T1a,$A0,$bc,$T1a
|
||
fmadd $T1b,$A0,$bd,$T1b
|
||
fmadd $T2a,$A1,$bc,$T2a
|
||
fmadd $T2b,$A1,$bd,$T2b
|
||
fmadd $T3a,$A2,$bc,$T3a
|
||
fmadd $T3b,$A2,$bd,$T3b
|
||
fmul $dota,$A3,$bc
|
||
fmul $dotb,$A3,$bd
|
||
|
||
fmadd $T1a,$N1,$na,$T1a
|
||
fmadd $T1b,$N1,$nb,$T1b
|
||
lfd $A0,8($nap_d) ; load a[j] in double format
|
||
lfd $A1,16($nap_d)
|
||
fmadd $T2a,$N2,$na,$T2a
|
||
fmadd $T2b,$N2,$nb,$T2b
|
||
lfd $A2,24($nap_d) ; load a[j+1] in double format
|
||
lfd $A3,32($nap_d)
|
||
fmadd $T3a,$N3,$na,$T3a
|
||
fmadd $T3b,$N3,$nb,$T3b
|
||
fmadd $T0a,$N0,$na,$T0a
|
||
fmadd $T0b,$N0,$nb,$T0b
|
||
|
||
fmadd $T1a,$N0,$nc,$T1a
|
||
fmadd $T1b,$N0,$nd,$T1b
|
||
fmadd $T2a,$N1,$nc,$T2a
|
||
fmadd $T2b,$N1,$nd,$T2b
|
||
fmadd $T3a,$N2,$nc,$T3a
|
||
fmadd $T3b,$N2,$nd,$T3b
|
||
fmadd $dota,$N3,$nc,$dota
|
||
fmadd $dotb,$N3,$nd,$dotb
|
||
|
||
fctid $T0a,$T0a
|
||
fctid $T0b,$T0b
|
||
fctid $T1a,$T1a
|
||
fctid $T1b,$T1b
|
||
fctid $T2a,$T2a
|
||
fctid $T2b,$T2b
|
||
fctid $T3a,$T3a
|
||
fctid $T3b,$T3b
|
||
|
||
stfd $T0a,`$FRAME+0`($sp)
|
||
stfd $T0b,`$FRAME+8`($sp)
|
||
stfd $T1a,`$FRAME+16`($sp)
|
||
stfd $T1b,`$FRAME+24`($sp)
|
||
stfd $T2a,`$FRAME+32`($sp)
|
||
stfd $T2b,`$FRAME+40`($sp)
|
||
stfd $T3a,`$FRAME+48`($sp)
|
||
stfd $T3b,`$FRAME+56`($sp)
|
||
|
||
.align 5
|
||
Linner:
|
||
fmul $T1a,$A1,$ba
|
||
fmul $T1b,$A1,$bb
|
||
fmul $T2a,$A2,$ba
|
||
fmul $T2b,$A2,$bb
|
||
lfd $N0,40($nap_d) ; load n[j] in double format
|
||
lfd $N1,48($nap_d)
|
||
fmul $T3a,$A3,$ba
|
||
fmul $T3b,$A3,$bb
|
||
fmadd $T0a,$A0,$ba,$dota
|
||
fmadd $T0b,$A0,$bb,$dotb
|
||
lfd $N2,56($nap_d) ; load n[j+1] in double format
|
||
lfdu $N3,64($nap_d)
|
||
|
||
fmadd $T1a,$A0,$bc,$T1a
|
||
fmadd $T1b,$A0,$bd,$T1b
|
||
fmadd $T2a,$A1,$bc,$T2a
|
||
fmadd $T2b,$A1,$bd,$T2b
|
||
lfd $A0,8($nap_d) ; load a[j] in double format
|
||
lfd $A1,16($nap_d)
|
||
fmadd $T3a,$A2,$bc,$T3a
|
||
fmadd $T3b,$A2,$bd,$T3b
|
||
fmul $dota,$A3,$bc
|
||
fmul $dotb,$A3,$bd
|
||
lfd $A2,24($nap_d) ; load a[j+1] in double format
|
||
lfd $A3,32($nap_d)
|
||
___
|
||
if ($SIZE_T==8 or $flavour =~ /osx/) {
|
||
$code.=<<___;
|
||
fmadd $T1a,$N1,$na,$T1a
|
||
fmadd $T1b,$N1,$nb,$T1b
|
||
ld $t0,`$FRAME+0`($sp)
|
||
ld $t1,`$FRAME+8`($sp)
|
||
fmadd $T2a,$N2,$na,$T2a
|
||
fmadd $T2b,$N2,$nb,$T2b
|
||
ld $t2,`$FRAME+16`($sp)
|
||
ld $t3,`$FRAME+24`($sp)
|
||
fmadd $T3a,$N3,$na,$T3a
|
||
fmadd $T3b,$N3,$nb,$T3b
|
||
add $t0,$t0,$carry ; can not overflow
|
||
ld $t4,`$FRAME+32`($sp)
|
||
ld $t5,`$FRAME+40`($sp)
|
||
fmadd $T0a,$N0,$na,$T0a
|
||
fmadd $T0b,$N0,$nb,$T0b
|
||
srdi $carry,$t0,16
|
||
add $t1,$t1,$carry
|
||
srdi $carry,$t1,16
|
||
ld $t6,`$FRAME+48`($sp)
|
||
ld $t7,`$FRAME+56`($sp)
|
||
|
||
fmadd $T1a,$N0,$nc,$T1a
|
||
fmadd $T1b,$N0,$nd,$T1b
|
||
insrdi $t0,$t1,16,32
|
||
ld $t1,8($tp) ; tp[j]
|
||
fmadd $T2a,$N1,$nc,$T2a
|
||
fmadd $T2b,$N1,$nd,$T2b
|
||
add $t2,$t2,$carry
|
||
fmadd $T3a,$N2,$nc,$T3a
|
||
fmadd $T3b,$N2,$nd,$T3b
|
||
srdi $carry,$t2,16
|
||
insrdi $t0,$t2,16,16
|
||
fmadd $dota,$N3,$nc,$dota
|
||
fmadd $dotb,$N3,$nd,$dotb
|
||
add $t3,$t3,$carry
|
||
ldu $t2,16($tp) ; tp[j+1]
|
||
srdi $carry,$t3,16
|
||
insrdi $t0,$t3,16,0 ; 0..63 bits
|
||
add $t4,$t4,$carry
|
||
|
||
fctid $T0a,$T0a
|
||
fctid $T0b,$T0b
|
||
srdi $carry,$t4,16
|
||
fctid $T1a,$T1a
|
||
fctid $T1b,$T1b
|
||
add $t5,$t5,$carry
|
||
fctid $T2a,$T2a
|
||
fctid $T2b,$T2b
|
||
srdi $carry,$t5,16
|
||
insrdi $t4,$t5,16,32
|
||
fctid $T3a,$T3a
|
||
fctid $T3b,$T3b
|
||
add $t6,$t6,$carry
|
||
srdi $carry,$t6,16
|
||
insrdi $t4,$t6,16,16
|
||
|
||
stfd $T0a,`$FRAME+0`($sp)
|
||
stfd $T0b,`$FRAME+8`($sp)
|
||
add $t7,$t7,$carry
|
||
addc $t3,$t0,$t1
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4); # adjust XER[CA]
|
||
extrdi $t0,$t0,32,0
|
||
extrdi $t1,$t1,32,0
|
||
adde $t0,$t0,$t1
|
||
___
|
||
$code.=<<___;
|
||
stfd $T1a,`$FRAME+16`($sp)
|
||
stfd $T1b,`$FRAME+24`($sp)
|
||
insrdi $t4,$t7,16,0 ; 64..127 bits
|
||
srdi $carry,$t7,16 ; upper 33 bits
|
||
stfd $T2a,`$FRAME+32`($sp)
|
||
stfd $T2b,`$FRAME+40`($sp)
|
||
adde $t5,$t4,$t2
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4); # adjust XER[CA]
|
||
extrdi $t4,$t4,32,0
|
||
extrdi $t2,$t2,32,0
|
||
adde $t4,$t4,$t2
|
||
___
|
||
$code.=<<___;
|
||
stfd $T3a,`$FRAME+48`($sp)
|
||
stfd $T3b,`$FRAME+56`($sp)
|
||
addze $carry,$carry
|
||
std $t3,-16($tp) ; tp[j-1]
|
||
std $t5,-8($tp) ; tp[j]
|
||
___
|
||
} else {
|
||
$code.=<<___;
|
||
fmadd $T1a,$N1,$na,$T1a
|
||
fmadd $T1b,$N1,$nb,$T1b
|
||
lwz $t1,`$FRAME+0^$LITTLE_ENDIAN`($sp)
|
||
lwz $t0,`$FRAME+4^$LITTLE_ENDIAN`($sp)
|
||
fmadd $T2a,$N2,$na,$T2a
|
||
fmadd $T2b,$N2,$nb,$T2b
|
||
lwz $t3,`$FRAME+8^$LITTLE_ENDIAN`($sp)
|
||
lwz $t2,`$FRAME+12^$LITTLE_ENDIAN`($sp)
|
||
fmadd $T3a,$N3,$na,$T3a
|
||
fmadd $T3b,$N3,$nb,$T3b
|
||
lwz $t5,`$FRAME+16^$LITTLE_ENDIAN`($sp)
|
||
lwz $t4,`$FRAME+20^$LITTLE_ENDIAN`($sp)
|
||
addc $t0,$t0,$carry
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
fmadd $T0a,$N0,$na,$T0a
|
||
fmadd $T0b,$N0,$nb,$T0b
|
||
lwz $t7,`$FRAME+24^$LITTLE_ENDIAN`($sp)
|
||
lwz $t6,`$FRAME+28^$LITTLE_ENDIAN`($sp)
|
||
srwi $c1,$t1,16
|
||
insrwi $carry,$t1,16,0
|
||
|
||
fmadd $T1a,$N0,$nc,$T1a
|
||
fmadd $T1b,$N0,$nd,$T1b
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
fmadd $T2a,$N1,$nc,$T2a
|
||
fmadd $T2b,$N1,$nd,$T2b
|
||
insrwi $t0,$t2,16,0 ; 0..31 bits
|
||
srwi $c1,$t3,16
|
||
insrwi $carry,$t3,16,0
|
||
fmadd $T3a,$N2,$nc,$T3a
|
||
fmadd $T3b,$N2,$nd,$T3b
|
||
lwz $t2,12($tp) ; tp[j]
|
||
lwz $t3,8($tp)
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
fmadd $dota,$N3,$nc,$dota
|
||
fmadd $dotb,$N3,$nd,$dotb
|
||
srwi $c1,$t5,16
|
||
insrwi $carry,$t5,16,0
|
||
|
||
fctid $T0a,$T0a
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
fctid $T0b,$T0b
|
||
insrwi $t4,$t6,16,0 ; 32..63 bits
|
||
srwi $c1,$t7,16
|
||
insrwi $carry,$t7,16,0
|
||
fctid $T1a,$T1a
|
||
addc $t0,$t0,$t2
|
||
adde $t4,$t4,$t3
|
||
lwz $t3,`$FRAME+32^$LITTLE_ENDIAN`($sp) ; permuted $t1
|
||
lwz $t2,`$FRAME+36^$LITTLE_ENDIAN`($sp) ; permuted $t0
|
||
fctid $T1b,$T1b
|
||
addze $carry,$carry
|
||
addze $c1,$c1
|
||
stw $t0,4($tp) ; tp[j-1]
|
||
stw $t4,0($tp)
|
||
fctid $T2a,$T2a
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
lwz $t7,`$FRAME+40^$LITTLE_ENDIAN`($sp) ; permuted $t3
|
||
lwz $t6,`$FRAME+44^$LITTLE_ENDIAN`($sp) ; permuted $t2
|
||
fctid $T2b,$T2b
|
||
srwi $c1,$t3,16
|
||
insrwi $carry,$t3,16,0
|
||
lwz $t1,`$FRAME+48^$LITTLE_ENDIAN`($sp) ; permuted $t5
|
||
lwz $t0,`$FRAME+52^$LITTLE_ENDIAN`($sp) ; permuted $t4
|
||
fctid $T3a,$T3a
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
lwz $t5,`$FRAME+56^$LITTLE_ENDIAN`($sp) ; permuted $t7
|
||
lwz $t4,`$FRAME+60^$LITTLE_ENDIAN`($sp) ; permuted $t6
|
||
fctid $T3b,$T3b
|
||
|
||
insrwi $t2,$t6,16,0 ; 64..95 bits
|
||
insrwi $carry,$t7,16,0
|
||
srwi $c1,$t7,16
|
||
lwz $t6,20($tp)
|
||
lwzu $t7,16($tp)
|
||
addc $t0,$t0,$carry
|
||
stfd $T0a,`$FRAME+0`($sp)
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
stfd $T0b,`$FRAME+8`($sp)
|
||
insrwi $carry,$t1,16,0
|
||
srwi $c1,$t1,16
|
||
addc $t4,$t4,$carry
|
||
stfd $T1a,`$FRAME+16`($sp)
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
insrwi $t0,$t4,16,0 ; 96..127 bits
|
||
stfd $T1b,`$FRAME+24`($sp)
|
||
insrwi $carry,$t5,16,0
|
||
srwi $c1,$t5,16
|
||
|
||
addc $t2,$t2,$t6
|
||
stfd $T2a,`$FRAME+32`($sp)
|
||
adde $t0,$t0,$t7
|
||
stfd $T2b,`$FRAME+40`($sp)
|
||
addze $carry,$carry
|
||
stfd $T3a,`$FRAME+48`($sp)
|
||
addze $c1,$c1
|
||
stfd $T3b,`$FRAME+56`($sp)
|
||
stw $t2,-4($tp) ; tp[j]
|
||
stw $t0,-8($tp)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
bdnz- Linner
|
||
|
||
fctid $dota,$dota
|
||
fctid $dotb,$dotb
|
||
___
|
||
if ($SIZE_T==8 or $flavour =~ /osx/) {
|
||
$code.=<<___;
|
||
ld $t0,`$FRAME+0`($sp)
|
||
ld $t1,`$FRAME+8`($sp)
|
||
ld $t2,`$FRAME+16`($sp)
|
||
ld $t3,`$FRAME+24`($sp)
|
||
ld $t4,`$FRAME+32`($sp)
|
||
ld $t5,`$FRAME+40`($sp)
|
||
ld $t6,`$FRAME+48`($sp)
|
||
ld $t7,`$FRAME+56`($sp)
|
||
stfd $dota,`$FRAME+64`($sp)
|
||
stfd $dotb,`$FRAME+72`($sp)
|
||
|
||
add $t0,$t0,$carry ; can not overflow
|
||
srdi $carry,$t0,16
|
||
add $t1,$t1,$carry
|
||
srdi $carry,$t1,16
|
||
insrdi $t0,$t1,16,32
|
||
add $t2,$t2,$carry
|
||
ld $t1,8($tp) ; tp[j]
|
||
srdi $carry,$t2,16
|
||
insrdi $t0,$t2,16,16
|
||
add $t3,$t3,$carry
|
||
ldu $t2,16($tp) ; tp[j+1]
|
||
srdi $carry,$t3,16
|
||
insrdi $t0,$t3,16,0 ; 0..63 bits
|
||
add $t4,$t4,$carry
|
||
srdi $carry,$t4,16
|
||
add $t5,$t5,$carry
|
||
srdi $carry,$t5,16
|
||
insrdi $t4,$t5,16,32
|
||
add $t6,$t6,$carry
|
||
srdi $carry,$t6,16
|
||
insrdi $t4,$t6,16,16
|
||
add $t7,$t7,$carry
|
||
insrdi $t4,$t7,16,0 ; 64..127 bits
|
||
srdi $carry,$t7,16 ; upper 33 bits
|
||
ld $t6,`$FRAME+64`($sp)
|
||
ld $t7,`$FRAME+72`($sp)
|
||
|
||
addc $t3,$t0,$t1
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4); # adjust XER[CA]
|
||
extrdi $t0,$t0,32,0
|
||
extrdi $t1,$t1,32,0
|
||
adde $t0,$t0,$t1
|
||
___
|
||
$code.=<<___;
|
||
adde $t5,$t4,$t2
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4); # adjust XER[CA]
|
||
extrdi $t4,$t4,32,0
|
||
extrdi $t2,$t2,32,0
|
||
adde $t4,$t4,$t2
|
||
___
|
||
$code.=<<___;
|
||
addze $carry,$carry
|
||
|
||
std $t3,-16($tp) ; tp[j-1]
|
||
std $t5,-8($tp) ; tp[j]
|
||
|
||
add $carry,$carry,$ovf ; comsume upmost overflow
|
||
add $t6,$t6,$carry ; can not overflow
|
||
srdi $carry,$t6,16
|
||
add $t7,$t7,$carry
|
||
insrdi $t6,$t7,48,0
|
||
srdi $ovf,$t7,48
|
||
std $t6,0($tp) ; tp[num-1]
|
||
___
|
||
} else {
|
||
$code.=<<___;
|
||
lwz $t1,`$FRAME+0^$LITTLE_ENDIAN`($sp)
|
||
lwz $t0,`$FRAME+4^$LITTLE_ENDIAN`($sp)
|
||
lwz $t3,`$FRAME+8^$LITTLE_ENDIAN`($sp)
|
||
lwz $t2,`$FRAME+12^$LITTLE_ENDIAN`($sp)
|
||
lwz $t5,`$FRAME+16^$LITTLE_ENDIAN`($sp)
|
||
lwz $t4,`$FRAME+20^$LITTLE_ENDIAN`($sp)
|
||
lwz $t7,`$FRAME+24^$LITTLE_ENDIAN`($sp)
|
||
lwz $t6,`$FRAME+28^$LITTLE_ENDIAN`($sp)
|
||
stfd $dota,`$FRAME+64`($sp)
|
||
stfd $dotb,`$FRAME+72`($sp)
|
||
|
||
addc $t0,$t0,$carry
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
insrwi $carry,$t1,16,0
|
||
srwi $c1,$t1,16
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
insrwi $t0,$t2,16,0 ; 0..31 bits
|
||
lwz $t2,12($tp) ; tp[j]
|
||
insrwi $carry,$t3,16,0
|
||
srwi $c1,$t3,16
|
||
lwz $t3,8($tp)
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
insrwi $carry,$t5,16,0
|
||
srwi $c1,$t5,16
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
insrwi $t4,$t6,16,0 ; 32..63 bits
|
||
insrwi $carry,$t7,16,0
|
||
srwi $c1,$t7,16
|
||
|
||
addc $t0,$t0,$t2
|
||
adde $t4,$t4,$t3
|
||
addze $carry,$carry
|
||
addze $c1,$c1
|
||
stw $t0,4($tp) ; tp[j-1]
|
||
stw $t4,0($tp)
|
||
|
||
lwz $t3,`$FRAME+32^$LITTLE_ENDIAN`($sp) ; permuted $t1
|
||
lwz $t2,`$FRAME+36^$LITTLE_ENDIAN`($sp) ; permuted $t0
|
||
lwz $t7,`$FRAME+40^$LITTLE_ENDIAN`($sp) ; permuted $t3
|
||
lwz $t6,`$FRAME+44^$LITTLE_ENDIAN`($sp) ; permuted $t2
|
||
lwz $t1,`$FRAME+48^$LITTLE_ENDIAN`($sp) ; permuted $t5
|
||
lwz $t0,`$FRAME+52^$LITTLE_ENDIAN`($sp) ; permuted $t4
|
||
lwz $t5,`$FRAME+56^$LITTLE_ENDIAN`($sp) ; permuted $t7
|
||
lwz $t4,`$FRAME+60^$LITTLE_ENDIAN`($sp) ; permuted $t6
|
||
|
||
addc $t2,$t2,$carry
|
||
adde $t3,$t3,$c1
|
||
srwi $carry,$t2,16
|
||
insrwi $carry,$t3,16,0
|
||
srwi $c1,$t3,16
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
srwi $carry,$t6,16
|
||
insrwi $t2,$t6,16,0 ; 64..95 bits
|
||
lwz $t6,20($tp)
|
||
insrwi $carry,$t7,16,0
|
||
srwi $c1,$t7,16
|
||
lwzu $t7,16($tp)
|
||
addc $t0,$t0,$carry
|
||
adde $t1,$t1,$c1
|
||
srwi $carry,$t0,16
|
||
insrwi $carry,$t1,16,0
|
||
srwi $c1,$t1,16
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
srwi $carry,$t4,16
|
||
insrwi $t0,$t4,16,0 ; 96..127 bits
|
||
insrwi $carry,$t5,16,0
|
||
srwi $c1,$t5,16
|
||
|
||
addc $t2,$t2,$t6
|
||
adde $t0,$t0,$t7
|
||
lwz $t7,`$FRAME+64^$LITTLE_ENDIAN`($sp)
|
||
lwz $t6,`$FRAME+68^$LITTLE_ENDIAN`($sp)
|
||
addze $carry,$carry
|
||
addze $c1,$c1
|
||
lwz $t5,`$FRAME+72^$LITTLE_ENDIAN`($sp)
|
||
lwz $t4,`$FRAME+76^$LITTLE_ENDIAN`($sp)
|
||
|
||
addc $t6,$t6,$carry
|
||
adde $t7,$t7,$c1
|
||
stw $t2,-4($tp) ; tp[j]
|
||
stw $t0,-8($tp)
|
||
addc $t6,$t6,$ovf
|
||
addze $t7,$t7
|
||
srwi $carry,$t6,16
|
||
insrwi $carry,$t7,16,0
|
||
srwi $c1,$t7,16
|
||
addc $t4,$t4,$carry
|
||
adde $t5,$t5,$c1
|
||
|
||
insrwi $t6,$t4,16,0
|
||
srwi $t4,$t4,16
|
||
insrwi $t4,$t5,16,0
|
||
srwi $ovf,$t5,16
|
||
stw $t6,4($tp) ; tp[num-1]
|
||
stw $t4,0($tp)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
slwi $t7,$num,2
|
||
addi $i,$i,8
|
||
subf $nap_d,$t7,$nap_d ; rewind pointer
|
||
cmpw $i,$num
|
||
blt- Louter
|
||
___
|
||
|
||
$code.=<<___ if ($SIZE_T==8);
|
||
subf $np,$num,$np ; rewind np
|
||
addi $j,$j,1 ; restore counter
|
||
subfc $i,$i,$i ; j=0 and "clear" XER[CA]
|
||
addi $tp,$sp,`$FRAME+$TRANSFER+8`
|
||
addi $t4,$sp,`$FRAME+$TRANSFER+16`
|
||
addi $t5,$np,8
|
||
addi $t6,$rp,8
|
||
mtctr $j
|
||
|
||
.align 4
|
||
Lsub: ldx $t0,$tp,$i
|
||
ldx $t1,$np,$i
|
||
ldx $t2,$t4,$i
|
||
ldx $t3,$t5,$i
|
||
subfe $t0,$t1,$t0 ; tp[j]-np[j]
|
||
subfe $t2,$t3,$t2 ; tp[j+1]-np[j+1]
|
||
stdx $t0,$rp,$i
|
||
stdx $t2,$t6,$i
|
||
addi $i,$i,16
|
||
bdnz- Lsub
|
||
|
||
li $i,0
|
||
subfe $ovf,$i,$ovf ; handle upmost overflow bit
|
||
and $ap,$tp,$ovf
|
||
andc $np,$rp,$ovf
|
||
or $ap,$ap,$np ; ap=borrow?tp:rp
|
||
addi $t7,$ap,8
|
||
mtctr $j
|
||
|
||
.align 4
|
||
Lcopy: ; copy or in-place refresh
|
||
ldx $t0,$ap,$i
|
||
ldx $t1,$t7,$i
|
||
std $i,8($nap_d) ; zap nap_d
|
||
std $i,16($nap_d)
|
||
std $i,24($nap_d)
|
||
std $i,32($nap_d)
|
||
std $i,40($nap_d)
|
||
std $i,48($nap_d)
|
||
std $i,56($nap_d)
|
||
stdu $i,64($nap_d)
|
||
stdx $t0,$rp,$i
|
||
stdx $t1,$t6,$i
|
||
stdx $i,$tp,$i ; zap tp at once
|
||
stdx $i,$t4,$i
|
||
addi $i,$i,16
|
||
bdnz- Lcopy
|
||
___
|
||
$code.=<<___ if ($SIZE_T==4);
|
||
subf $np,$num,$np ; rewind np
|
||
addi $j,$j,1 ; restore counter
|
||
subfc $i,$i,$i ; j=0 and "clear" XER[CA]
|
||
addi $tp,$sp,`$FRAME+$TRANSFER`
|
||
addi $np,$np,-4
|
||
addi $rp,$rp,-4
|
||
addi $ap,$sp,`$FRAME+$TRANSFER+4`
|
||
mtctr $j
|
||
|
||
.align 4
|
||
Lsub: lwz $t0,12($tp) ; load tp[j..j+3] in 64-bit word order
|
||
lwz $t1,8($tp)
|
||
lwz $t2,20($tp)
|
||
lwzu $t3,16($tp)
|
||
lwz $t4,4($np) ; load np[j..j+3] in 32-bit word order
|
||
lwz $t5,8($np)
|
||
lwz $t6,12($np)
|
||
lwzu $t7,16($np)
|
||
subfe $t4,$t4,$t0 ; tp[j]-np[j]
|
||
stw $t0,4($ap) ; save tp[j..j+3] in 32-bit word order
|
||
subfe $t5,$t5,$t1 ; tp[j+1]-np[j+1]
|
||
stw $t1,8($ap)
|
||
subfe $t6,$t6,$t2 ; tp[j+2]-np[j+2]
|
||
stw $t2,12($ap)
|
||
subfe $t7,$t7,$t3 ; tp[j+3]-np[j+3]
|
||
stwu $t3,16($ap)
|
||
stw $t4,4($rp)
|
||
stw $t5,8($rp)
|
||
stw $t6,12($rp)
|
||
stwu $t7,16($rp)
|
||
bdnz- Lsub
|
||
|
||
li $i,0
|
||
subfe $ovf,$i,$ovf ; handle upmost overflow bit
|
||
addi $tp,$sp,`$FRAME+$TRANSFER+4`
|
||
subf $rp,$num,$rp ; rewind rp
|
||
and $ap,$tp,$ovf
|
||
andc $np,$rp,$ovf
|
||
or $ap,$ap,$np ; ap=borrow?tp:rp
|
||
addi $tp,$sp,`$FRAME+$TRANSFER`
|
||
mtctr $j
|
||
|
||
.align 4
|
||
Lcopy: ; copy or in-place refresh
|
||
lwz $t0,4($ap)
|
||
lwz $t1,8($ap)
|
||
lwz $t2,12($ap)
|
||
lwzu $t3,16($ap)
|
||
std $i,8($nap_d) ; zap nap_d
|
||
std $i,16($nap_d)
|
||
std $i,24($nap_d)
|
||
std $i,32($nap_d)
|
||
std $i,40($nap_d)
|
||
std $i,48($nap_d)
|
||
std $i,56($nap_d)
|
||
stdu $i,64($nap_d)
|
||
stw $t0,4($rp)
|
||
stw $t1,8($rp)
|
||
stw $t2,12($rp)
|
||
stwu $t3,16($rp)
|
||
std $i,8($tp) ; zap tp at once
|
||
stdu $i,16($tp)
|
||
bdnz- Lcopy
|
||
___
|
||
|
||
$code.=<<___;
|
||
$POP $i,0($sp)
|
||
li r3,1 ; signal "handled"
|
||
$POP r19,`-12*8-13*$SIZE_T`($i)
|
||
$POP r20,`-12*8-12*$SIZE_T`($i)
|
||
$POP r21,`-12*8-11*$SIZE_T`($i)
|
||
$POP r22,`-12*8-10*$SIZE_T`($i)
|
||
$POP r23,`-12*8-9*$SIZE_T`($i)
|
||
$POP r24,`-12*8-8*$SIZE_T`($i)
|
||
$POP r25,`-12*8-7*$SIZE_T`($i)
|
||
$POP r26,`-12*8-6*$SIZE_T`($i)
|
||
$POP r27,`-12*8-5*$SIZE_T`($i)
|
||
$POP r28,`-12*8-4*$SIZE_T`($i)
|
||
$POP r29,`-12*8-3*$SIZE_T`($i)
|
||
$POP r30,`-12*8-2*$SIZE_T`($i)
|
||
$POP r31,`-12*8-1*$SIZE_T`($i)
|
||
lfd f20,`-12*8`($i)
|
||
lfd f21,`-11*8`($i)
|
||
lfd f22,`-10*8`($i)
|
||
lfd f23,`-9*8`($i)
|
||
lfd f24,`-8*8`($i)
|
||
lfd f25,`-7*8`($i)
|
||
lfd f26,`-6*8`($i)
|
||
lfd f27,`-5*8`($i)
|
||
lfd f28,`-4*8`($i)
|
||
lfd f29,`-3*8`($i)
|
||
lfd f30,`-2*8`($i)
|
||
lfd f31,`-1*8`($i)
|
||
mr $sp,$i
|
||
blr
|
||
.long 0
|
||
.byte 0,12,4,0,0x8c,13,6,0
|
||
.long 0
|
||
.size .$fname,.-.$fname
|
||
|
||
.asciz "Montgomery Multiplication for PPC64, CRYPTOGAMS by <appro\@openssl.org>"
|
||
___
|
||
|
||
$code =~ s/\`([^\`]*)\`/eval $1/gem;
|
||
print $code;
|
||
close STDOUT;
|