From: Andy Polyakov <appro@openssl.org>
Date: Wed, 6 Jan 2010 10:57:55 +0000 (+0000)
Subject: Add Montgomery multiplication module for IA-64.
X-Git-Tag: OpenSSL-fips-2_0-rc1~1366
X-Git-Url: https://git.librecmc.org/?a=commitdiff_plain;h=dacdcf3c152d7468e673f0df053104c52300766d;p=oweals%2Fopenssl.git

Add Montgomery multiplication module for IA-64.
---

diff --git a/Configure b/Configure
index a715fa7845..e00b9235b4 100755
--- a/Configure
+++ b/Configure
@@ -128,7 +128,7 @@ my $x86_asm="x86cpuid.o:bn-586.o co-586.o x86-mont.o:des-586.o crypt586.o:aes-58
 my $x86_elf_asm="$x86_asm:elf";
 
 my $x86_64_asm="x86_64cpuid.o:x86_64-gcc.o x86_64-mont.o::aes-x86_64.o aesni-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o";
-my $ia64_asm="ia64cpuid.o:bn-ia64.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o::rc4-ia64.o rc4_skey.o:::::void";
+my $ia64_asm="ia64cpuid.o:bn-ia64.o ia64-mont.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o::rc4-ia64.o rc4_skey.o:::::void";
 my $sparcv9_asm="sparcv9cap.o sparccpuid.o:bn-sparcv9.o sparcv9-mont.o sparcv9a-mont.o:des_enc-sparc.o fcrypt_b.o:aes_core.o aes_cbc.o aes-sparcv9.o:::sha1-sparcv9.o sha256-sparcv9.o sha512-sparcv9.o:::::::void";
 my $sparcv8_asm=":sparcv8.o:des_enc-sparc.o fcrypt_b.o:::::::::::void";
 my $alpha_asm="alphacpuid.o:bn_asm.o alpha-mont.o::::::::::::void";
@@ -490,7 +490,7 @@ my %table=(
 # Visual C targets
 #
 # Win64 targets, WIN64I denotes IA-64 and WIN64A - AMD64
-"VC-WIN64I","cl:-W3 -Gs0 -Gy -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64I::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:ia64cpuid.o:ia64.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o:::::::ias:win32",
+"VC-WIN64I","cl:-W3 -Gs0 -Gy -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64I::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:ia64cpuid.o:ia64.o ia64-mont.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o:::::::ias:win32",
 "VC-WIN64A","cl:-W3 -Gs0 -Gy -nologo -DOPENSSL_SYSNAME_WIN32 -DWIN32_LEAN_AND_MEAN -DL_ENDIAN -DUNICODE -D_UNICODE -D_CRT_SECURE_NO_DEPRECATE:::WIN64A::SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN:x86_64cpuid.o:bn_asm.o x86_64-mont.o::aes-x86_64.o aesni-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o:auto:win32",
 # x86 Win32 target defaults to ANSI API, if you want UNICODE, complement
 # 'perl Configure VC-WIN32' with '-DUNICODE -D_UNICODE'
diff --git a/TABLE b/TABLE
index c3613cfa37..6b7f415953 100644
--- a/TABLE
+++ b/TABLE
@@ -133,7 +133,7 @@ $sys_id       =
 $lflags       = 
 $bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_UNROLL DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -784,7 +784,7 @@ $sys_id       = WIN64I
 $lflags       = 
 $bn_ops       = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = ia64.o
+$bn_obj       = ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -2675,7 +2675,7 @@ $sys_id       =
 $lflags       = -ldl
 $bn_ops       = SIXTY_FOUR_BIT MD2_CHAR RC4_INDEX DES_UNROLL DES_RISC1 DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -2706,7 +2706,7 @@ $sys_id       =
 $lflags       = -ldl
 $bn_ops       = SIXTY_FOUR_BIT MD2_CHAR RC4_INDEX DES_UNROLL DES_RISC1 DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -2923,7 +2923,7 @@ $sys_id       =
 $lflags       = -ldl
 $bn_ops       = SIXTY_FOUR_BIT_LONG MD2_CHAR RC4_INDEX DES_UNROLL DES_RISC1 DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -2954,7 +2954,7 @@ $sys_id       =
 $lflags       = -ldl
 $bn_ops       = SIXTY_FOUR_BIT_LONG MD2_CHAR RC4_INDEX DES_UNROLL DES_RISC1 DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -3574,7 +3574,7 @@ $sys_id       =
 $lflags       = -ldl
 $bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_UNROLL DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -3605,7 +3605,7 @@ $sys_id       =
 $lflags       = -ldl
 $bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
@@ -3636,7 +3636,7 @@ $sys_id       =
 $lflags       = -ldl
 $bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_RISC1 DES_INT
 $cpuid_obj    = ia64cpuid.o
-$bn_obj       = bn-ia64.o
+$bn_obj       = bn-ia64.o ia64-mont.o
 $des_obj      = 
 $aes_obj      = aes_core.o aes_cbc.o aes-ia64.o
 $bf_obj       = 
diff --git a/crypto/bn/Makefile b/crypto/bn/Makefile
index c42ef3e85c..134b4a9777 100644
--- a/crypto/bn/Makefile
+++ b/crypto/bn/Makefile
@@ -92,6 +92,8 @@ x86_64-mont.s:	asm/x86_64-mont.pl
 
 bn-ia64.s:	asm/ia64.S
 	$(CC) $(CFLAGS) -E asm/ia64.S > $@
+ia64-mont.s:	asm/ia64-mont.pl
+	$(PERL) asm/ia64-mont.pl $@ $(CFLAGS)
 
 # GNU assembler fails to compile PA-RISC2 modules, insist on calling
 # vendor assembler...
diff --git a/crypto/bn/asm/ia64-mont.pl b/crypto/bn/asm/ia64-mont.pl
new file mode 100644
index 0000000000..0084213fb5
--- /dev/null
+++ b/crypto/bn/asm/ia64-mont.pl
@@ -0,0 +1,356 @@
+#!/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
+
+// 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
+	$ADDP		tp_1=8,sp	};;
+___
+
+$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;	$ADDP		tp_1=8,sp
+	add		num=-1,num		// num--
+(p6)	br.cond.sptk.many	.Louter	};;
+
+{ .mbb;	add		lc=4,lc
+	brp.loop.imp	.Lsub_ctop,.Lsub_cend-16
+	clrrrb.pr			};;
+{ .mii;	nop.m		0
+	mov		pr.rot=0x10001<<16
+			// ------^---- (p33) at first (p17)
+	mov		ar.lc=lc	}
+{ .mii;	nop.m		0
+	mov		ar.ec=3
+	nop.i		0		};;
+
+.Lsub_ctop:
+.pred.rel	"mutex",p33,p35
+{ .mfi;	(p16)	ld8		t[0]=[tptr],8		    // t=*(tp++)
+	(p16)	nop.f		0
+	(p33)	sub		n[1]=t[1],n[1]		}   // (p17)
+{ .mfi;	(p16)	ld8		n[0]=[nptr],8		    // n=*(np++)
+	(p16)	nop.f		0
+	(p35)	sub		n[1]=t[1],n[1],1	};; // (p17)
+{ .mib;	(p18)	st8		[rptr]=n[2],8		    // *(rp++)=r
+	(p33)	cmp.gtu		p34,p32=n[1],t[1]	    // (p17)
+	(p18)	nop.b		0			}
+{ .mib;	(p18)	nop.m		0
+	(p35)	cmp.geu		p34,p32=n[1],t[1]	    // (p17)
+	br.ctop.sptk	.Lsub_ctop			};;
+.Lsub_cend:
+
+{ .mmb;	.pred.rel	"mutex",p34,p36
+(p34)	sub	topbit=topbit,r0	// (p19)
+(p36)	sub	topbit=topbit,r0,1
+	brp.loop.imp	.Lcopy_ctop,.Lcopy_cend-16
+					}
+{ .mmb;	sub	rptr=rptr,len		// rewind
+	sub	tptr=tptr,len
+	clrrrb.pr			};;
+{ .mmi;	and	aptr=tptr,topbit
+	andcm	bptr=rptr,topbit
+	mov	pr.rot=1<<16		};;
+{ .mii;	or	nptr=aptr,bptr
+	mov	ar.lc=lc
+	mov	ar.ec=3			};;
+
+.Lcopy_ctop:
+{ .mmb;	(p16)	ld8	n[0]=[nptr],8
+	(p18)	st8	[tptr]=r0,8
+	(p16)	nop.b	0		}
+{ .mmb;	(p16)	nop.m	0
+	(p18)	st8	[rptr]=n[2],8
+	br.ctop.sptk	.Lcopy_ctop	};;
+.Lcopy_cend:
+
+{ .mmi;	mov		ret0=1			// signal "handled"
+	rum		1<<5			// clear um.mfh
+	mov		ar.lc=prevlc	}
+{ .mib;	.restore	sp
+	mov		sp=prevsp
+	mov		pr=prevpr,-2
+	br.ret.sptk.many	b0	};;
+.endp	bn_mul_mont
+.type	copyright#,\@object
+copyright:
+stringz	"Montgomery multiplication for IA-64, CRYPTOGAMS by <appro\@openssl.org>"
+___
+
+$output=shift and open STDOUT,">$output";
+print $code;
+close STDOUT;