--- /dev/null
+#!/usr/bin/env perl
+#
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> 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/.
+# ====================================================================
+
+# January 2010
+#
+# "Teaser" Montgomery multiplication module for IA-64. There are
+# several possibilities for improvement:
+#
+# - modulo-scheduling outer loop would eliminate quite a number of
+# stalls after ldf8, xma and getf.sig outside inner loop and
+# improve shorter key performance;
+# - shorter vector support [with input vectors being fetched only
+# once] should be added;
+# - 2x unroll with help of n0[1] would make the code scalable on
+# "wider" IA-64, "wider" than Itanium 2 that is, which is not of
+# acute interest, because upcoming Tukwila's individual cores are
+# reportedly based on Itanium 2 design;
+# - dedicated squaring procedure(?);
+#
+# So far 'openssl speed rsa dsa' output on 900MHz Itanium 2 *with*
+# this module is:
+# sign verify sign/s verify/s
+# rsa 512 bits 0.000634s 0.000030s 1577.6 32877.3
+# rsa 1024 bits 0.001246s 0.000058s 802.8 17181.5
+# rsa 2048 bits 0.005908s 0.000148s 169.3 6754.0
+# rsa 4096 bits 0.033456s 0.000469s 29.9 2133.6
+# dsa 512 bits 0.000322s 0.000286s 3106.0 3499.0
+# dsa 1024 bits 0.000585s 0.000607s 1708.4 1647.4
+# dsa 2048 bits 0.001453s 0.001703s 688.1 587.4
+#
+# ... and *without*:
+#
+# rsa 512 bits 0.000670s 0.000041s 1491.8 24145.5
+# rsa 1024 bits 0.001988s 0.000080s 502.9 12499.3
+# rsa 2048 bits 0.008702s 0.000189s 114.9 5293.9
+# rsa 4096 bits 0.043860s 0.000533s 22.8 1875.9
+# dsa 512 bits 0.000441s 0.000427s 2265.3 2340.6
+# dsa 1024 bits 0.000823s 0.000867s 1215.6 1153.2
+# dsa 2048 bits 0.001894s 0.002179s 528.1 458.9
+#
+# 512-bit RSA sign performance does not improve, because this module
+# doesn't handle short enough vectors (yet). Otherwise RSA sign
+# improves by 60-30%, less for longer keys, while verify - by 35-13%.
+# DSA performance improves by 40-30%.
+
+if ($^O eq "hpux") {
+ $ADDP="addp4";
+ for (@ARGV) { $ADDP="add" if (/[\+DD|\-mlp]64/); }
+} else { $ADDP="add"; }
+
+$code=<<___;
+.explicit
+.text
+\f
+// int bn_mul_mont (BN_ULONG *rp,const BN_ULONG *ap,
+// const BN_ULONG *bp,const BN_ULONG *np,
+// const BN_ULONG *n0p,int num);
+.global bn_mul_mont#
+.proc bn_mul_mont#
+prevsp=r2;
+prevfs=r3;
+prevlc=r10;
+prevpr=r11;
+
+rptr=r14;
+aptr=r15;
+bptr=r16;
+nptr=r17;
+tptr=r18; // &tp[0]
+tp_1=r19; // &tp[-1]
+num=r20;
+len=r21;
+topbit=r22;
+lc=r23;
+
+bi=f6;
+n0=f7;
+m0=f8;
+
+.align 64
+bn_mul_mont:
+ .prologue
+{ .mmi; .save ar.pfs,prevfs
+ alloc prevfs=ar.pfs,6,2,0,8
+ $ADDP aptr=0,in1
+ .save ar.lc,prevlc
+ mov prevlc=ar.lc }
+{ .mmi; .vframe prevsp
+ mov prevsp=sp
+ $ADDP bptr=0,in2
+ cmp4.gt p6,p0=5,in5 };; // is num large enough?
+{ .mfi; nop.m 0 // align loop bodies
+ nop.f 0
+ nop.i 0 }
+{ .mib; mov ret0=r0 // signal "unhandled"
+ .save pr,prevpr
+ mov prevpr=pr
+(p6) br.ret.dpnt.many b0 };;
+
+ .body
+ .rotf alo[6],nlo[4],ahi[8],nhi[6]
+ .rotr a[3],n[3],t[2]
+
+{ .mmi; ldf8 bi=[bptr],8 // (*bp++)
+ ldf8 alo[4]=[aptr],16 // ap[0]
+ $ADDP r30=8,in1 };;
+{ .mmi; ldf8 alo[3]=[r30],16 // ap[1]
+ ldf8 alo[2]=[aptr],16 // ap[2]
+ $ADDP in4=0,in4 };;
+{ .mmi; ldf8 alo[1]=[r30] // ap[3]
+ ldf8 n0=[in4] // n0
+ $ADDP rptr=0,in0 }
+{ .mmi; $ADDP nptr=0,in3
+ mov r31=16
+ zxt4 num=in5 };;
+{ .mmi; ldf8 nlo[2]=[nptr],8 // np[0]
+ shladd len=num,3,r0
+ shladd r31=num,3,r31 };;
+{ .mmi; ldf8 nlo[1]=[nptr],8 // np[1]
+ add lc=-5,num
+ sub r31=sp,r31 };;
+{ .mfb; and sp=-16,r31 // alloca
+ xmpy.hu ahi[2]=alo[4],bi // ap[0]*bp[0]
+ nop.b 0 }
+{ .mfb; nop.m 0
+ xmpy.lu alo[4]=alo[4],bi
+ brp.loop.imp .L1st_ctop,.L1st_cend-16
+ };;
+{ .mfi; nop.m 0
+ xma.hu ahi[1]=alo[3],bi,ahi[2] // ap[1]*bp[0]
+ $ADDP tp_1=8,sp }
+{ .mfi; nop.m 0
+ xma.lu alo[3]=alo[3],bi,ahi[2]
+ mov pr.rot=0x20001f<<16
+ // ------^----- (p40) at first (p23)
+ // ----------^^ p[16:20]=1
+ };;
+{ .mfi; nop.m 0
+ xmpy.lu m0=alo[4],n0 // (ap[0]*bp[0])*n0
+ mov ar.lc=lc }
+{ .mfi; nop.m 0
+ fcvt.fxu.s1 nhi[1]=f0
+ mov ar.ec=8 };;
+
+.align 32
+.L1st_ctop:
+.pred.rel "mutex",p40,p42
+{ .mfi; (p16) ldf8 alo[0]=[aptr],8 // *(aptr++)
+ (p18) xma.hu ahi[0]=alo[2],bi,ahi[1]
+ (p40) add n[2]=n[2],a[2] } // (p23) }
+{ .mfi; (p18) ldf8 nlo[0]=[nptr],8 // *(nptr++)(p16)
+ (p18) xma.lu alo[2]=alo[2],bi,ahi[1]
+ (p42) add n[2]=n[2],a[2],1 };; // (p23)
+{ .mfi; (p21) getf.sig a[0]=alo[5]
+ (p20) xma.hu nhi[0]=nlo[2],m0,nhi[1]
+ (p42) cmp.leu p41,p39=n[2],a[2] } // (p23)
+{ .mfi; (p23) st8 [tp_1]=n[2],8
+ (p20) xma.lu nlo[2]=nlo[2],m0,nhi[1]
+ (p40) cmp.ltu p41,p39=n[2],a[2] } // (p23)
+{ .mmb; (p21) getf.sig n[0]=nlo[3]
+ (p16) nop.m 0
+ br.ctop.sptk .L1st_ctop };;
+.L1st_cend:
+
+{ .mmi; getf.sig a[0]=ahi[6] // (p24)
+ getf.sig n[0]=nhi[4]
+ add num=-1,num };; // num--
+{ .mmi; .pred.rel "mutex",p40,p42
+(p40) add n[0]=n[0],a[0]
+(p42) add n[0]=n[0],a[0],1
+ sub aptr=aptr,len };; // rewind
+{ .mmi; .pred.rel "mutex",p40,p42
+(p40) cmp.ltu p41,p39=n[0],a[0]
+(p42) cmp.leu p41,p39=n[0],a[0]
+ sub nptr=nptr,len };;
+{ .mmi; .pred.rel "mutex",p39,p41
+(p39) add topbit=r0,r0
+(p41) add topbit=r0,r0,1
+ nop.i 0 }
+{ .mmi; st8 [tp_1]=n[0]
+ $ADDP tptr=16,sp
+ $ADDP tp_1=8,sp };;
+___
+\f\f
+$code.=<<___;
+.Louter:
+{ .mmi; ldf8 bi=[bptr],8 // (*bp++)
+ ldf8 ahi[3]=[tptr] // tp[0]
+ add r30=8,aptr };;
+{ .mmi; ldf8 alo[4]=[aptr],16 // ap[0]
+ ldf8 alo[3]=[r30],16 // ap[1]
+ add r31=8,nptr };;
+{ .mfb; ldf8 alo[2]=[aptr],16 // ap[2]
+ xma.hu ahi[2]=alo[4],bi,ahi[3] // ap[0]*bp[i]+tp[0]
+ brp.loop.imp .Linner_ctop,.Linner_cend-16
+ }
+{ .mfb; ldf8 alo[1]=[r30] // ap[3]
+ xma.lu alo[4]=alo[4],bi,ahi[3]
+ clrrrb.pr };;
+{ .mfi; ldf8 nlo[2]=[nptr],16 // np[0]
+ xma.hu ahi[1]=alo[3],bi,ahi[2] // ap[1]*bp[i]
+ nop.i 0 }
+{ .mfi; ldf8 nlo[1]=[r31] // np[1]
+ xma.lu alo[3]=alo[3],bi,ahi[2]
+ mov pr.rot=0x20101f<<16
+ // ------^----- (p40) at first (p23)
+ // --------^--- (p30) at first (p22)
+ // ----------^^ p[16:20]=1
+ };;
+{ .mfi; st8 [tptr]=r0 // tp[0] is already accounted
+ xmpy.lu m0=alo[4],n0 // (ap[0]*bp[i]+tp[0])*n0
+ mov ar.lc=lc }
+{ .mfi;
+ fcvt.fxu.s1 nhi[1]=f0
+ mov ar.ec=8 };;
+
+// This loop spins in 4*(n+7) ticks on Itanium 2 and should spin in
+// 7*(n+7) ticks on Itanium (the one codenamed Merced). Factor of 7
+// in latter case accounts for two-tick pipeline stall, which means
+// that its performance would be ~20% lower than optimal one. No
+// attempt was made to address this, because original Itanium is
+// hardly represented out in the wild...
+.align 32
+.Linner_ctop:
+.pred.rel "mutex",p40,p42
+.pred.rel "mutex",p30,p32
+{ .mfi; (p16) ldf8 alo[0]=[aptr],8 // *(aptr++)
+ (p18) xma.hu ahi[0]=alo[2],bi,ahi[1]
+ (p40) add n[2]=n[2],a[2] } // (p23)
+{ .mfi; (p16) nop.m 0
+ (p18) xma.lu alo[2]=alo[2],bi,ahi[1]
+ (p42) add n[2]=n[2],a[2],1 };; // (p23)
+{ .mfi; (p21) getf.sig a[0]=alo[5]
+ (p16) nop.f 0
+ (p40) cmp.ltu p41,p39=n[2],a[2] } // (p23)
+{ .mfi; (p21) ld8 t[0]=[tptr],8
+ (p16) nop.f 0
+ (p42) cmp.leu p41,p39=n[2],a[2] };; // (p23)
+{ .mfi; (p18) ldf8 nlo[0]=[nptr],8 // *(nptr++)
+ (p20) xma.hu nhi[0]=nlo[2],m0,nhi[1]
+ (p30) add a[1]=a[1],t[1] } // (p22)
+{ .mfi; (p16) nop.m 0
+ (p20) xma.lu nlo[2]=nlo[2],m0,nhi[1]
+ (p32) add a[1]=a[1],t[1],1 };; // (p22)
+{ .mmi; (p21) getf.sig n[0]=nlo[3]
+ (p16) nop.m 0
+ (p30) cmp.ltu p31,p29=a[1],t[1] } // (p22)
+{ .mmb; (p23) st8 [tp_1]=n[2],8
+ (p32) cmp.leu p31,p29=a[1],t[1] // (p22)
+ br.ctop.sptk .Linner_ctop };;
+.Linner_cend:
+
+{ .mmi; getf.sig a[0]=ahi[6] // (p24)
+ getf.sig n[0]=nhi[4]
+ nop.i 0 };;
+
+{ .mmi; .pred.rel "mutex",p31,p33
+(p31) add a[0]=a[0],topbit
+(p33) add a[0]=a[0],topbit,1
+ mov topbit=r0 };;
+{ .mfi; .pred.rel "mutex",p31,p33
+(p31) cmp.ltu p32,p30=a[0],topbit
+(p33) cmp.leu p32,p30=a[0],topbit
+ }
+{ .mfi; .pred.rel "mutex",p40,p42
+(p40) add n[0]=n[0],a[0]
+(p42) add n[0]=n[0],a[0],1
+ };;
+{ .mmi; .pred.rel "mutex",p44,p46
+(p40) cmp.ltu p41,p39=n[0],a[0]
+(p42) cmp.leu p41,p39=n[0],a[0]
+(p32) add topbit=r0,r0,1 }
+
+{ .mmi; st8 [tp_1]=n[0],8
+ cmp4.ne p6,p0=1,num
+ sub aptr=aptr,len };; // rewind
+{ .mmi; sub nptr=nptr,len
+(p41) add topbit=r0,r0,1
+ $ADDP tptr=16,sp }
+{ .mmb; $ADDP tp_1=8,sp
+ add num=-1,num // num--
+(p6) br.cond.sptk.many .Louter };;
+\f
+{ .mbb; add lc=4,lc
+ brp.loop.imp .Lsub_ctop,.Lsub_cend-16
+ clrrrb.pr };;
+{ .mii; nop.m 0
+ mov pr.rot=0x10001<<16
+ // ------^---- (p33) at first (p17)
+ mov ar.lc=lc }
+{ .mii; nop.m 0
+ mov ar.ec=3
+ nop.i 0 };;
+
+.Lsub_ctop:
+.pred.rel "mutex",p33,p35
+{ .mfi; (p16) ld8 t[0]=[tptr],8 // t=*(tp++)
+ (p16) nop.f 0
+ (p33) sub n[1]=t[1],n[1] } // (p17)
+{ .mfi; (p16) ld8 n[0]=[nptr],8 // n=*(np++)
+ (p16) nop.f 0
+ (p35) sub n[1]=t[1],n[1],1 };; // (p17)
+{ .mib; (p18) st8 [rptr]=n[2],8 // *(rp++)=r
+ (p33) cmp.gtu p34,p32=n[1],t[1] // (p17)
+ (p18) nop.b 0 }
+{ .mib; (p18) nop.m 0
+ (p35) cmp.geu p34,p32=n[1],t[1] // (p17)
+ br.ctop.sptk .Lsub_ctop };;
+.Lsub_cend:
+
+{ .mmb; .pred.rel "mutex",p34,p36
+(p34) sub topbit=topbit,r0 // (p19)
+(p36) sub topbit=topbit,r0,1
+ brp.loop.imp .Lcopy_ctop,.Lcopy_cend-16
+ }
+{ .mmb; sub rptr=rptr,len // rewind
+ sub tptr=tptr,len
+ clrrrb.pr };;
+{ .mmi; and aptr=tptr,topbit
+ andcm bptr=rptr,topbit
+ mov pr.rot=1<<16 };;
+{ .mii; or nptr=aptr,bptr
+ mov ar.lc=lc
+ mov ar.ec=3 };;
+
+.Lcopy_ctop:
+{ .mmb; (p16) ld8 n[0]=[nptr],8
+ (p18) st8 [tptr]=r0,8
+ (p16) nop.b 0 }
+{ .mmb; (p16) nop.m 0
+ (p18) st8 [rptr]=n[2],8
+ br.ctop.sptk .Lcopy_ctop };;
+.Lcopy_cend:
+
+{ .mmi; mov ret0=1 // signal "handled"
+ rum 1<<5 // clear um.mfh
+ mov ar.lc=prevlc }
+{ .mib; .restore sp
+ mov sp=prevsp
+ mov pr=prevpr,-2
+ br.ret.sptk.many b0 };;
+.endp bn_mul_mont
+.type copyright#,\@object
+copyright:
+stringz "Montgomery multiplication for IA-64, CRYPTOGAMS by <appro\@openssl.org>"
+___
+
+$output=shift and open STDOUT,">$output";
+print $code;
+close STDOUT;
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