projects / thirdparty / openssl.git / blame
| Commit | Line | Data |
|---|---|---|
| 6aa36e8e | 1 | #! /usr/bin/env perl |
| 33388b44 | 2 | # Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved. |
| 6aa36e8e | 3 | # |
| 367ace68 | 4 | # Licensed under the Apache License 2.0 (the "License"). You may not use |
| 6aa36e8e RS |
5 | # this file except in compliance with the License. You can obtain a copy |
| 6 | # in the file LICENSE in the source distribution or at | |
| 7 | # https://www.openssl.org/source/license.html | |
| 8 | ||
| 2c5d4daa AP |
9 | |
| 10 | # ==================================================================== | |
| e3713c36 | 11 | # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL |
| 7d9cf7c0 AP |
12 | # project. The module is, however, dual licensed under OpenSSL and |
| 13 | # CRYPTOGAMS licenses depending on where you obtain it. For further | |
| 14 | # details see http://www.openssl.org/~appro/cryptogams/. | |
| 2c5d4daa AP |
15 | # ==================================================================== |
| 16 | ||
| 17 | # April 2006 | |
| 18 | ||
| 19 | # "Teaser" Montgomery multiplication module for PowerPC. It's possible | |
| 20 | # to gain a bit more by modulo-scheduling outer loop, then dedicated | |
| 21 | # squaring procedure should give further 20% and code can be adapted | |
| 22 | # for 32-bit application running on 64-bit CPU. As for the latter. | |
| 23 | # It won't be able to achieve "native" 64-bit performance, because in | |
| 24 | # 32-bit application context every addc instruction will have to be | |
| 25 | # expanded as addc, twice right shift by 32 and finally adde, etc. | |
| 26 | # So far RSA *sign* performance improvement over pre-bn_mul_mont asm | |
| 27 | # for 64-bit application running on PPC970/G5 is: | |
| 28 | # | |
| 609b0852 | 29 | # 512-bit +65% |
| 2c5d4daa AP |
30 | # 1024-bit +35% |
| 31 | # 2048-bit +18% | |
| 32 | # 4096-bit +4% | |
| 33 | ||
| 68f6d2a0 AP |
34 | # September 2016 |
| 35 | # | |
| 36 | # Add multiplication procedure operating on lengths divisible by 4 | |
| 37 | # and squaring procedure operating on lengths divisible by 8. Length | |
| 38 | # is expressed in number of limbs. RSA private key operations are | |
| 39 | # ~35-50% faster (more for longer keys) on contemporary high-end POWER | |
| 46f4e1be | 40 | # processors in 64-bit builds, [mysteriously enough] more in 32-bit |
| 68f6d2a0 AP |
41 | # builds. On low-end 32-bit processors performance improvement turned |
| 42 | # to be marginal... | |
| 43 | ||
| 1aa89a7a RL |
44 | # $output is the last argument if it looks like a file (it has an extension) |
| 45 | # $flavour is the first argument if it doesn't look like a file | |
| 46 | $output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef; | |
| 47 | $flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef; | |
| 2c5d4daa | 48 | |
| addd641f | 49 | if ($flavour =~ /32/) { |
| 2c5d4daa AP |
50 | $BITS= 32; |
| 51 | $BNSZ= $BITS/8; | |
| 52 | $SIZE_T=4; | |
| 53 | $RZONE= 224; | |
| 2c5d4daa AP |
54 | |
| 55 | $LD= "lwz"; # load | |
| 56 | $LDU= "lwzu"; # load and update | |
| 57 | $LDX= "lwzx"; # load indexed | |
| 58 | $ST= "stw"; # store | |
| 59 | $STU= "stwu"; # store and update | |
| 60 | $STX= "stwx"; # store indexed | |
| 61 | $STUX= "stwux"; # store indexed and update | |
| 62 | $UMULL= "mullw"; # unsigned multiply low | |
| 63 | $UMULH= "mulhwu"; # unsigned multiply high | |
| 64 | $UCMP= "cmplw"; # unsigned compare | |
| 609b0852 | 65 | $SHRI= "srwi"; # unsigned shift right by immediate |
| 68f6d2a0 | 66 | $SHLI= "slwi"; # unsigned shift left by immediate |
| 2c5d4daa AP |
67 | $PUSH= $ST; |
| 68 | $POP= $LD; | |
| addd641f | 69 | } elsif ($flavour =~ /64/) { |
| 2c5d4daa AP |
70 | $BITS= 64; |
| 71 | $BNSZ= $BITS/8; | |
| 72 | $SIZE_T=8; | |
| 73 | $RZONE= 288; | |
| 2c5d4daa AP |
74 | |
| 75 | # same as above, but 64-bit mnemonics... | |
| 76 | $LD= "ld"; # load | |
| 77 | $LDU= "ldu"; # load and update | |
| 78 | $LDX= "ldx"; # load indexed | |
| 79 | $ST= "std"; # store | |
| 80 | $STU= "stdu"; # store and update | |
| 81 | $STX= "stdx"; # store indexed | |
| 82 | $STUX= "stdux"; # store indexed and update | |
| 83 | $UMULL= "mulld"; # unsigned multiply low | |
| 84 | $UMULH= "mulhdu"; # unsigned multiply high | |
| 85 | $UCMP= "cmpld"; # unsigned compare | |
| 609b0852 | 86 | $SHRI= "srdi"; # unsigned shift right by immediate |
| 68f6d2a0 | 87 | $SHLI= "sldi"; # unsigned shift left by immediate |
| 2c5d4daa AP |
88 | $PUSH= $ST; |
| 89 | $POP= $LD; | |
| addd641f | 90 | } else { die "nonsense $flavour"; } |
| 2c5d4daa | 91 | |
| 67150340 AP |
92 | $FRAME=8*$SIZE_T+$RZONE; |
| 93 | $LOCALS=8*$SIZE_T; | |
| 94 | ||
| addd641f AP |
95 | $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; |
| 96 | ( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or | |
| 97 | ( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or | |
| 98 | die "can't locate ppc-xlate.pl"; | |
| 99 | ||
| 1aa89a7a RL |
100 | open STDOUT,"| $^X $xlate $flavour \"$output\"" |
| 101 | or die "can't call $xlate: $!"; | |
| 2c5d4daa AP |
102 | |
| 103 | $sp="r1"; | |
| 104 | $toc="r2"; | |
| 0310becc | 105 | $rp="r3"; |
| 2c5d4daa AP |
106 | $ap="r4"; |
| 107 | $bp="r5"; | |
| 108 | $np="r6"; | |
| 109 | $n0="r7"; | |
| 110 | $num="r8"; | |
| 0310becc AP |
111 | |
| 112 | { | |
| 113 | my $ovf=$rp; | |
| 114 | my $rp="r9"; # $rp is reassigned | |
| 115 | my $aj="r10"; | |
| 116 | my $nj="r11"; | |
| 117 | my $tj="r12"; | |
| 2c5d4daa | 118 | # non-volatile registers |
| 0310becc AP |
119 | my $i="r20"; |
| 120 | my $j="r21"; | |
| 121 | my $tp="r22"; | |
| 122 | my $m0="r23"; | |
| 123 | my $m1="r24"; | |
| 124 | my $lo0="r25"; | |
| 125 | my $hi0="r26"; | |
| 126 | my $lo1="r27"; | |
| 127 | my $hi1="r28"; | |
| 128 | my $alo="r29"; | |
| 129 | my $ahi="r30"; | |
| 130 | my $nlo="r31"; | |
| 2c5d4daa | 131 | # |
| 0310becc | 132 | my $nhi="r0"; |
| 2c5d4daa AP |
133 | |
| 134 | $code=<<___; | |
| 67d99090 | 135 | .machine "any" |
| 2c5d4daa AP |
136 | .text |
| 137 | ||
| b4b48a10 | 138 | .globl .bn_mul_mont_int |
| 68f6d2a0 | 139 | .align 5 |
| b4b48a10 | 140 | .bn_mul_mont_int: |
| 2c5d4daa | 141 | mr $rp,r3 ; $rp is reassigned |
| 90fc4832 | 142 | li r3,0 |
| b4b48a10 AP |
143 | ___ |
| 144 | $code.=<<___ if ($BNSZ==4); | |
| 145 | cmpwi $num,32 ; longer key performance is not better | |
| 146 | bgelr | |
| 147 | ___ | |
| 148 | $code.=<<___; | |
| 2c5d4daa AP |
149 | slwi $num,$num,`log($BNSZ)/log(2)` |
| 150 | li $tj,-4096 | |
| 67150340 | 151 | addi $ovf,$num,$FRAME |
| 2c5d4daa AP |
152 | subf $ovf,$ovf,$sp ; $sp-$ovf |
| 153 | and $ovf,$ovf,$tj ; minimize TLB usage | |
| 154 | subf $ovf,$sp,$ovf ; $ovf-$sp | |
| 67150340 | 155 | mr $tj,$sp |
| 2c5d4daa AP |
156 | srwi $num,$num,`log($BNSZ)/log(2)` |
| 157 | $STUX $sp,$sp,$ovf | |
| 158 | ||
| 67150340 AP |
159 | $PUSH r20,`-12*$SIZE_T`($tj) |
| 160 | $PUSH r21,`-11*$SIZE_T`($tj) | |
| 161 | $PUSH r22,`-10*$SIZE_T`($tj) | |
| 162 | $PUSH r23,`-9*$SIZE_T`($tj) | |
| 163 | $PUSH r24,`-8*$SIZE_T`($tj) | |
| 164 | $PUSH r25,`-7*$SIZE_T`($tj) | |
| 165 | $PUSH r26,`-6*$SIZE_T`($tj) | |
| 166 | $PUSH r27,`-5*$SIZE_T`($tj) | |
| 167 | $PUSH r28,`-4*$SIZE_T`($tj) | |
| 168 | $PUSH r29,`-3*$SIZE_T`($tj) | |
| 169 | $PUSH r30,`-2*$SIZE_T`($tj) | |
| 170 | $PUSH r31,`-1*$SIZE_T`($tj) | |
| 2c5d4daa AP |
171 | |
| 172 | $LD $n0,0($n0) ; pull n0[0] value | |
| 173 | addi $num,$num,-2 ; adjust $num for counter register | |
| 174 | \f | |
| 175 | $LD $m0,0($bp) ; m0=bp[0] | |
| 176 | $LD $aj,0($ap) ; ap[0] | |
| 67150340 | 177 | addi $tp,$sp,$LOCALS |
| 2c5d4daa AP |
178 | $UMULL $lo0,$aj,$m0 ; ap[0]*bp[0] |
| 179 | $UMULH $hi0,$aj,$m0 | |
| 180 | ||
| 181 | $LD $aj,$BNSZ($ap) ; ap[1] | |
| 182 | $LD $nj,0($np) ; np[0] | |
| 183 | ||
| 184 | $UMULL $m1,$lo0,$n0 ; "tp[0]"*n0 | |
| 185 | ||
| 186 | $UMULL $alo,$aj,$m0 ; ap[1]*bp[0] | |
| 187 | $UMULH $ahi,$aj,$m0 | |
| 188 | ||
| 189 | $UMULL $lo1,$nj,$m1 ; np[0]*m1 | |
| 190 | $UMULH $hi1,$nj,$m1 | |
| 191 | $LD $nj,$BNSZ($np) ; np[1] | |
| 192 | addc $lo1,$lo1,$lo0 | |
| 193 | addze $hi1,$hi1 | |
| 194 | ||
| 195 | $UMULL $nlo,$nj,$m1 ; np[1]*m1 | |
| 196 | $UMULH $nhi,$nj,$m1 | |
| 197 | ||
| 198 | mtctr $num | |
| 199 | li $j,`2*$BNSZ` | |
| 200 | .align 4 | |
| 201 | L1st: | |
| 202 | $LDX $aj,$ap,$j ; ap[j] | |
| 2c5d4daa | 203 | addc $lo0,$alo,$hi0 |
| 8ea975d0 | 204 | $LDX $nj,$np,$j ; np[j] |
| 2c5d4daa AP |
205 | addze $hi0,$ahi |
| 206 | $UMULL $alo,$aj,$m0 ; ap[j]*bp[0] | |
| 2c5d4daa | 207 | addc $lo1,$nlo,$hi1 |
| 8ea975d0 | 208 | $UMULH $ahi,$aj,$m0 |
| 2c5d4daa AP |
209 | addze $hi1,$nhi |
| 210 | $UMULL $nlo,$nj,$m1 ; np[j]*m1 | |
| 2c5d4daa | 211 | addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[0] |
| 8ea975d0 | 212 | $UMULH $nhi,$nj,$m1 |
| 2c5d4daa AP |
213 | addze $hi1,$hi1 |
| 214 | $ST $lo1,0($tp) ; tp[j-1] | |
| 215 | ||
| 216 | addi $j,$j,$BNSZ ; j++ | |
| 217 | addi $tp,$tp,$BNSZ ; tp++ | |
| 20b88bb1 | 218 | bdnz L1st |
| 2c5d4daa AP |
219 | ;L1st |
| 220 | addc $lo0,$alo,$hi0 | |
| 221 | addze $hi0,$ahi | |
| 222 | ||
| 223 | addc $lo1,$nlo,$hi1 | |
| 224 | addze $hi1,$nhi | |
| 225 | addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[0] | |
| 226 | addze $hi1,$hi1 | |
| 227 | $ST $lo1,0($tp) ; tp[j-1] | |
| 228 | ||
| 229 | li $ovf,0 | |
| 230 | addc $hi1,$hi1,$hi0 | |
| 231 | addze $ovf,$ovf ; upmost overflow bit | |
| 232 | $ST $hi1,$BNSZ($tp) | |
| 233 | \f | |
| 234 | li $i,$BNSZ | |
| 235 | .align 4 | |
| 236 | Louter: | |
| 237 | $LDX $m0,$bp,$i ; m0=bp[i] | |
| 238 | $LD $aj,0($ap) ; ap[0] | |
| 67150340 AP |
239 | addi $tp,$sp,$LOCALS |
| 240 | $LD $tj,$LOCALS($sp); tp[0] | |
| 2c5d4daa AP |
241 | $UMULL $lo0,$aj,$m0 ; ap[0]*bp[i] |
| 242 | $UMULH $hi0,$aj,$m0 | |
| 243 | $LD $aj,$BNSZ($ap) ; ap[1] | |
| 244 | $LD $nj,0($np) ; np[0] | |
| 245 | addc $lo0,$lo0,$tj ; ap[0]*bp[i]+tp[0] | |
| 8ea975d0 | 246 | $UMULL $alo,$aj,$m0 ; ap[j]*bp[i] |
| 2c5d4daa | 247 | addze $hi0,$hi0 |
| 2c5d4daa | 248 | $UMULL $m1,$lo0,$n0 ; tp[0]*n0 |
| 2c5d4daa | 249 | $UMULH $ahi,$aj,$m0 |
| 2c5d4daa AP |
250 | $UMULL $lo1,$nj,$m1 ; np[0]*m1 |
| 251 | $UMULH $hi1,$nj,$m1 | |
| 252 | $LD $nj,$BNSZ($np) ; np[1] | |
| 253 | addc $lo1,$lo1,$lo0 | |
| 2c5d4daa | 254 | $UMULL $nlo,$nj,$m1 ; np[1]*m1 |
| 8ea975d0 | 255 | addze $hi1,$hi1 |
| 2c5d4daa AP |
256 | $UMULH $nhi,$nj,$m1 |
| 257 | \f | |
| 258 | mtctr $num | |
| 259 | li $j,`2*$BNSZ` | |
| 260 | .align 4 | |
| 261 | Linner: | |
| 262 | $LDX $aj,$ap,$j ; ap[j] | |
| 2c5d4daa | 263 | addc $lo0,$alo,$hi0 |
| 8ea975d0 | 264 | $LD $tj,$BNSZ($tp) ; tp[j] |
| 2c5d4daa AP |
265 | addze $hi0,$ahi |
| 266 | $LDX $nj,$np,$j ; np[j] | |
| 2c5d4daa | 267 | addc $lo1,$nlo,$hi1 |
| 8ea975d0 | 268 | $UMULL $alo,$aj,$m0 ; ap[j]*bp[i] |
| 2c5d4daa | 269 | addze $hi1,$nhi |
| 8ea975d0 AP |
270 | $UMULH $ahi,$aj,$m0 |
| 271 | addc $lo0,$lo0,$tj ; ap[j]*bp[i]+tp[j] | |
| 2c5d4daa | 272 | $UMULL $nlo,$nj,$m1 ; np[j]*m1 |
| 8ea975d0 | 273 | addze $hi0,$hi0 |
| 2c5d4daa AP |
274 | $UMULH $nhi,$nj,$m1 |
| 275 | addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[i]+tp[j] | |
| 8ea975d0 | 276 | addi $j,$j,$BNSZ ; j++ |
| 2c5d4daa AP |
277 | addze $hi1,$hi1 |
| 278 | $ST $lo1,0($tp) ; tp[j-1] | |
| 2c5d4daa | 279 | addi $tp,$tp,$BNSZ ; tp++ |
| 20b88bb1 | 280 | bdnz Linner |
| 2c5d4daa AP |
281 | ;Linner |
| 282 | $LD $tj,$BNSZ($tp) ; tp[j] | |
| 283 | addc $lo0,$alo,$hi0 | |
| 284 | addze $hi0,$ahi | |
| 285 | addc $lo0,$lo0,$tj ; ap[j]*bp[i]+tp[j] | |
| 286 | addze $hi0,$hi0 | |
| 287 | ||
| 288 | addc $lo1,$nlo,$hi1 | |
| 289 | addze $hi1,$nhi | |
| 290 | addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[i]+tp[j] | |
| 291 | addze $hi1,$hi1 | |
| 292 | $ST $lo1,0($tp) ; tp[j-1] | |
| 293 | ||
| 294 | addic $ovf,$ovf,-1 ; move upmost overflow to XER[CA] | |
| 295 | li $ovf,0 | |
| 296 | adde $hi1,$hi1,$hi0 | |
| 297 | addze $ovf,$ovf | |
| 298 | $ST $hi1,$BNSZ($tp) | |
| 299 | ; | |
| 300 | slwi $tj,$num,`log($BNSZ)/log(2)` | |
| 301 | $UCMP $i,$tj | |
| 302 | addi $i,$i,$BNSZ | |
| 20b88bb1 | 303 | ble Louter |
| 2c5d4daa AP |
304 | \f |
| 305 | addi $num,$num,2 ; restore $num | |
| 7d9cf7c0 | 306 | subfc $j,$j,$j ; j=0 and "clear" XER[CA] |
| 67150340 | 307 | addi $tp,$sp,$LOCALS |
| 2c5d4daa | 308 | mtctr $num |
| 7d9cf7c0 AP |
309 | |
| 310 | .align 4 | |
| 311 | Lsub: $LDX $tj,$tp,$j | |
| 312 | $LDX $nj,$np,$j | |
| 313 | subfe $aj,$nj,$tj ; tp[j]-np[j] | |
| 314 | $STX $aj,$rp,$j | |
| 315 | addi $j,$j,$BNSZ | |
| 20b88bb1 | 316 | bdnz Lsub |
| 7d9cf7c0 | 317 | |
| 2c5d4daa | 318 | li $j,0 |
| 7d9cf7c0 AP |
319 | mtctr $num |
| 320 | subfe $ovf,$j,$ovf ; handle upmost overflow bit | |
| 2c5d4daa | 321 | |
| 2c5d4daa | 322 | .align 4 |
| 774ff8fe AP |
323 | Lcopy: ; conditional copy |
| 324 | $LDX $tj,$tp,$j | |
| 325 | $LDX $aj,$rp,$j | |
| 326 | and $tj,$tj,$ovf | |
| 327 | andc $aj,$aj,$ovf | |
| 2c5d4daa | 328 | $STX $j,$tp,$j ; zap at once |
| 774ff8fe AP |
329 | or $aj,$aj,$tj |
| 330 | $STX $aj,$rp,$j | |
| 2c5d4daa | 331 | addi $j,$j,$BNSZ |
| 20b88bb1 | 332 | bdnz Lcopy |
| 2c5d4daa | 333 | |
| 67150340 | 334 | $POP $tj,0($sp) |
| 2c5d4daa | 335 | li r3,1 |
| 67150340 AP |
336 | $POP r20,`-12*$SIZE_T`($tj) |
| 337 | $POP r21,`-11*$SIZE_T`($tj) | |
| 338 | $POP r22,`-10*$SIZE_T`($tj) | |
| 339 | $POP r23,`-9*$SIZE_T`($tj) | |
| 340 | $POP r24,`-8*$SIZE_T`($tj) | |
| 341 | $POP r25,`-7*$SIZE_T`($tj) | |
| 342 | $POP r26,`-6*$SIZE_T`($tj) | |
| 343 | $POP r27,`-5*$SIZE_T`($tj) | |
| 344 | $POP r28,`-4*$SIZE_T`($tj) | |
| 345 | $POP r29,`-3*$SIZE_T`($tj) | |
| 346 | $POP r30,`-2*$SIZE_T`($tj) | |
| 347 | $POP r31,`-1*$SIZE_T`($tj) | |
| 348 | mr $sp,$tj | |
| 2c5d4daa AP |
349 | blr |
| 350 | .long 0 | |
| 67150340 AP |
351 | .byte 0,12,4,0,0x80,12,6,0 |
| 352 | .long 0 | |
| d6019e16 | 353 | .size .bn_mul_mont_int,.-.bn_mul_mont_int |
| 0310becc AP |
354 | ___ |
| 355 | } | |
| 68f6d2a0 AP |
356 | if (1) { |
| 357 | my ($a0,$a1,$a2,$a3, | |
| 358 | $t0,$t1,$t2,$t3, | |
| 359 | $m0,$m1,$m2,$m3, | |
| 360 | $acc0,$acc1,$acc2,$acc3,$acc4, | |
| 361 | $bi,$mi,$tp,$ap_end,$cnt) = map("r$_",(9..12,14..31)); | |
| 362 | my ($carry,$zero) = ($rp,"r0"); | |
| 363 | ||
| 364 | # sp----------->+-------------------------------+ | |
| 365 | # | saved sp | | |
| 366 | # +-------------------------------+ | |
| 367 | # . . | |
| 368 | # +8*size_t +-------------------------------+ | |
| 369 | # | 4 "n0*t0" | | |
| 370 | # . . | |
| 371 | # . . | |
| 372 | # +12*size_t +-------------------------------+ | |
| 373 | # | size_t tmp[num] | | |
| 374 | # . . | |
| 375 | # . . | |
| 376 | # . . | |
| 377 | # +-------------------------------+ | |
| 378 | # | topmost carry | | |
| 379 | # . . | |
| 380 | # -18*size_t +-------------------------------+ | |
| 381 | # | 18 saved gpr, r14-r31 | | |
| 382 | # . . | |
| 383 | # . . | |
| 384 | # +-------------------------------+ | |
| 385 | $code.=<<___; | |
| 386 | .globl .bn_mul4x_mont_int | |
| 387 | .align 5 | |
| 388 | .bn_mul4x_mont_int: | |
| 389 | andi. r0,$num,7 | |
| 390 | bne .Lmul4x_do | |
| 391 | $UCMP $ap,$bp | |
| 392 | bne .Lmul4x_do | |
| 393 | b .Lsqr8x_do | |
| 394 | .Lmul4x_do: | |
| 395 | slwi $num,$num,`log($SIZE_T)/log(2)` | |
| 396 | mr $a0,$sp | |
| 397 | li $a1,-32*$SIZE_T | |
| 398 | sub $a1,$a1,$num | |
| 399 | $STUX $sp,$sp,$a1 # alloca | |
| 400 | ||
| 401 | $PUSH r14,-$SIZE_T*18($a0) | |
| 402 | $PUSH r15,-$SIZE_T*17($a0) | |
| 403 | $PUSH r16,-$SIZE_T*16($a0) | |
| 404 | $PUSH r17,-$SIZE_T*15($a0) | |
| 405 | $PUSH r18,-$SIZE_T*14($a0) | |
| 406 | $PUSH r19,-$SIZE_T*13($a0) | |
| 407 | $PUSH r20,-$SIZE_T*12($a0) | |
| 408 | $PUSH r21,-$SIZE_T*11($a0) | |
| 409 | $PUSH r22,-$SIZE_T*10($a0) | |
| 410 | $PUSH r23,-$SIZE_T*9($a0) | |
| 411 | $PUSH r24,-$SIZE_T*8($a0) | |
| 412 | $PUSH r25,-$SIZE_T*7($a0) | |
| 413 | $PUSH r26,-$SIZE_T*6($a0) | |
| 414 | $PUSH r27,-$SIZE_T*5($a0) | |
| 415 | $PUSH r28,-$SIZE_T*4($a0) | |
| 416 | $PUSH r29,-$SIZE_T*3($a0) | |
| 417 | $PUSH r30,-$SIZE_T*2($a0) | |
| 418 | $PUSH r31,-$SIZE_T*1($a0) | |
| 419 | ||
| 420 | subi $ap,$ap,$SIZE_T # bias by -1 | |
| 421 | subi $np,$np,$SIZE_T # bias by -1 | |
| 422 | subi $rp,$rp,$SIZE_T # bias by -1 | |
| 423 | $LD $n0,0($n0) # *n0 | |
| 424 | ||
| 425 | add $t0,$bp,$num | |
| 426 | add $ap_end,$ap,$num | |
| 427 | subi $t0,$t0,$SIZE_T*4 # &b[num-4] | |
| 428 | ||
| 429 | $LD $bi,$SIZE_T*0($bp) # b[0] | |
| 430 | li $acc0,0 | |
| 431 | $LD $a0,$SIZE_T*1($ap) # a[0..3] | |
| 432 | li $acc1,0 | |
| 433 | $LD $a1,$SIZE_T*2($ap) | |
| 434 | li $acc2,0 | |
| 435 | $LD $a2,$SIZE_T*3($ap) | |
| 436 | li $acc3,0 | |
| 437 | $LDU $a3,$SIZE_T*4($ap) | |
| 438 | $LD $m0,$SIZE_T*1($np) # n[0..3] | |
| 439 | $LD $m1,$SIZE_T*2($np) | |
| 440 | $LD $m2,$SIZE_T*3($np) | |
| 441 | $LDU $m3,$SIZE_T*4($np) | |
| 442 | ||
| 443 | $PUSH $rp,$SIZE_T*6($sp) # offload rp and &b[num-4] | |
| 444 | $PUSH $t0,$SIZE_T*7($sp) | |
| 445 | li $carry,0 | |
| 446 | addic $tp,$sp,$SIZE_T*7 # &t[-1], clear carry bit | |
| 447 | li $cnt,0 | |
| 448 | li $zero,0 | |
| 449 | b .Loop_mul4x_1st_reduction | |
| 450 | ||
| 451 | .align 5 | |
| 452 | .Loop_mul4x_1st_reduction: | |
| 453 | $UMULL $t0,$a0,$bi # lo(a[0..3]*b[0]) | |
| 454 | addze $carry,$carry # modulo-scheduled | |
| 455 | $UMULL $t1,$a1,$bi | |
| 456 | addi $cnt,$cnt,$SIZE_T | |
| 457 | $UMULL $t2,$a2,$bi | |
| 458 | andi. $cnt,$cnt,$SIZE_T*4-1 | |
| 459 | $UMULL $t3,$a3,$bi | |
| 460 | addc $acc0,$acc0,$t0 | |
| 461 | $UMULH $t0,$a0,$bi # hi(a[0..3]*b[0]) | |
| 462 | adde $acc1,$acc1,$t1 | |
| 463 | $UMULH $t1,$a1,$bi | |
| 464 | adde $acc2,$acc2,$t2 | |
| 465 | $UMULL $mi,$acc0,$n0 # t[0]*n0 | |
| 466 | adde $acc3,$acc3,$t3 | |
| 467 | $UMULH $t2,$a2,$bi | |
| 468 | addze $acc4,$zero | |
| 469 | $UMULH $t3,$a3,$bi | |
| 470 | $LDX $bi,$bp,$cnt # next b[i] (or b[0]) | |
| 471 | addc $acc1,$acc1,$t0 | |
| 472 | # (*) mul $t0,$m0,$mi # lo(n[0..3]*t[0]*n0) | |
| 473 | $STU $mi,$SIZE_T($tp) # put aside t[0]*n0 for tail processing | |
| 474 | adde $acc2,$acc2,$t1 | |
| 475 | $UMULL $t1,$m1,$mi | |
| 476 | adde $acc3,$acc3,$t2 | |
| 477 | $UMULL $t2,$m2,$mi | |
| 478 | adde $acc4,$acc4,$t3 # can't overflow | |
| 479 | $UMULL $t3,$m3,$mi | |
| 480 | # (*) addc $acc0,$acc0,$t0 | |
| 481 | # (*) As for removal of first multiplication and addition | |
| 482 | # instructions. The outcome of first addition is | |
| 483 | # guaranteed to be zero, which leaves two computationally | |
| 484 | # significant outcomes: it either carries or not. Then | |
| 485 | # question is when does it carry? Is there alternative | |
| 486 | # way to deduce it? If you follow operations, you can | |
| 487 | # observe that condition for carry is quite simple: | |
| 488 | # $acc0 being non-zero. So that carry can be calculated | |
| 489 | # by adding -1 to $acc0. That's what next instruction does. | |
| 490 | addic $acc0,$acc0,-1 # (*), discarded | |
| 491 | $UMULH $t0,$m0,$mi # hi(n[0..3]*t[0]*n0) | |
| 492 | adde $acc0,$acc1,$t1 | |
| 493 | $UMULH $t1,$m1,$mi | |
| 494 | adde $acc1,$acc2,$t2 | |
| 495 | $UMULH $t2,$m2,$mi | |
| 496 | adde $acc2,$acc3,$t3 | |
| 497 | $UMULH $t3,$m3,$mi | |
| 498 | adde $acc3,$acc4,$carry | |
| 499 | addze $carry,$zero | |
| 500 | addc $acc0,$acc0,$t0 | |
| 501 | adde $acc1,$acc1,$t1 | |
| 502 | adde $acc2,$acc2,$t2 | |
| 503 | adde $acc3,$acc3,$t3 | |
| 504 | #addze $carry,$carry | |
| 505 | bne .Loop_mul4x_1st_reduction | |
| 506 | ||
| 507 | $UCMP $ap_end,$ap | |
| 508 | beq .Lmul4x4_post_condition | |
| 509 | ||
| 510 | $LD $a0,$SIZE_T*1($ap) # a[4..7] | |
| 511 | $LD $a1,$SIZE_T*2($ap) | |
| 512 | $LD $a2,$SIZE_T*3($ap) | |
| 513 | $LDU $a3,$SIZE_T*4($ap) | |
| 514 | $LD $mi,$SIZE_T*8($sp) # a[0]*n0 | |
| 515 | $LD $m0,$SIZE_T*1($np) # n[4..7] | |
| 516 | $LD $m1,$SIZE_T*2($np) | |
| 517 | $LD $m2,$SIZE_T*3($np) | |
| 518 | $LDU $m3,$SIZE_T*4($np) | |
| 519 | b .Loop_mul4x_1st_tail | |
| 520 | ||
| 521 | .align 5 | |
| 522 | .Loop_mul4x_1st_tail: | |
| 523 | $UMULL $t0,$a0,$bi # lo(a[4..7]*b[i]) | |
| 524 | addze $carry,$carry # modulo-scheduled | |
| 525 | $UMULL $t1,$a1,$bi | |
| 526 | addi $cnt,$cnt,$SIZE_T | |
| 527 | $UMULL $t2,$a2,$bi | |
| 528 | andi. $cnt,$cnt,$SIZE_T*4-1 | |
| 529 | $UMULL $t3,$a3,$bi | |
| 530 | addc $acc0,$acc0,$t0 | |
| 531 | $UMULH $t0,$a0,$bi # hi(a[4..7]*b[i]) | |
| 532 | adde $acc1,$acc1,$t1 | |
| 533 | $UMULH $t1,$a1,$bi | |
| 534 | adde $acc2,$acc2,$t2 | |
| 535 | $UMULH $t2,$a2,$bi | |
| 536 | adde $acc3,$acc3,$t3 | |
| 537 | $UMULH $t3,$a3,$bi | |
| 538 | addze $acc4,$zero | |
| 539 | $LDX $bi,$bp,$cnt # next b[i] (or b[0]) | |
| 540 | addc $acc1,$acc1,$t0 | |
| 541 | $UMULL $t0,$m0,$mi # lo(n[4..7]*a[0]*n0) | |
| 542 | adde $acc2,$acc2,$t1 | |
| 543 | $UMULL $t1,$m1,$mi | |
| 544 | adde $acc3,$acc3,$t2 | |
| 545 | $UMULL $t2,$m2,$mi | |
| 546 | adde $acc4,$acc4,$t3 # can't overflow | |
| 547 | $UMULL $t3,$m3,$mi | |
| 548 | addc $acc0,$acc0,$t0 | |
| 549 | $UMULH $t0,$m0,$mi # hi(n[4..7]*a[0]*n0) | |
| 550 | adde $acc1,$acc1,$t1 | |
| 551 | $UMULH $t1,$m1,$mi | |
| 552 | adde $acc2,$acc2,$t2 | |
| 553 | $UMULH $t2,$m2,$mi | |
| 554 | adde $acc3,$acc3,$t3 | |
| 555 | adde $acc4,$acc4,$carry | |
| 556 | $UMULH $t3,$m3,$mi | |
| 557 | addze $carry,$zero | |
| 558 | addi $mi,$sp,$SIZE_T*8 | |
| 559 | $LDX $mi,$mi,$cnt # next t[0]*n0 | |
| 560 | $STU $acc0,$SIZE_T($tp) # word of result | |
| 561 | addc $acc0,$acc1,$t0 | |
| 562 | adde $acc1,$acc2,$t1 | |
| 563 | adde $acc2,$acc3,$t2 | |
| 564 | adde $acc3,$acc4,$t3 | |
| 565 | #addze $carry,$carry | |
| 566 | bne .Loop_mul4x_1st_tail | |
| 567 | ||
| 568 | sub $t1,$ap_end,$num # rewinded $ap | |
| 569 | $UCMP $ap_end,$ap # done yet? | |
| 570 | beq .Lmul4x_proceed | |
| 571 | ||
| 572 | $LD $a0,$SIZE_T*1($ap) | |
| 573 | $LD $a1,$SIZE_T*2($ap) | |
| 574 | $LD $a2,$SIZE_T*3($ap) | |
| 575 | $LDU $a3,$SIZE_T*4($ap) | |
| 576 | $LD $m0,$SIZE_T*1($np) | |
| 577 | $LD $m1,$SIZE_T*2($np) | |
| 578 | $LD $m2,$SIZE_T*3($np) | |
| 579 | $LDU $m3,$SIZE_T*4($np) | |
| 580 | b .Loop_mul4x_1st_tail | |
| 581 | ||
| 582 | .align 5 | |
| 583 | .Lmul4x_proceed: | |
| 584 | $LDU $bi,$SIZE_T*4($bp) # *++b | |
| 585 | addze $carry,$carry # topmost carry | |
| 586 | $LD $a0,$SIZE_T*1($t1) | |
| 587 | $LD $a1,$SIZE_T*2($t1) | |
| 588 | $LD $a2,$SIZE_T*3($t1) | |
| 589 | $LD $a3,$SIZE_T*4($t1) | |
| 590 | addi $ap,$t1,$SIZE_T*4 | |
| 591 | sub $np,$np,$num # rewind np | |
| 592 | ||
| 593 | $ST $acc0,$SIZE_T*1($tp) # result | |
| 594 | $ST $acc1,$SIZE_T*2($tp) | |
| 595 | $ST $acc2,$SIZE_T*3($tp) | |
| 596 | $ST $acc3,$SIZE_T*4($tp) | |
| 597 | $ST $carry,$SIZE_T*5($tp) # save topmost carry | |
| 598 | $LD $acc0,$SIZE_T*12($sp) # t[0..3] | |
| 599 | $LD $acc1,$SIZE_T*13($sp) | |
| 600 | $LD $acc2,$SIZE_T*14($sp) | |
| 601 | $LD $acc3,$SIZE_T*15($sp) | |
| 602 | ||
| 603 | $LD $m0,$SIZE_T*1($np) # n[0..3] | |
| 604 | $LD $m1,$SIZE_T*2($np) | |
| 605 | $LD $m2,$SIZE_T*3($np) | |
| 606 | $LDU $m3,$SIZE_T*4($np) | |
| 607 | addic $tp,$sp,$SIZE_T*7 # &t[-1], clear carry bit | |
| 608 | li $carry,0 | |
| 609 | b .Loop_mul4x_reduction | |
| 610 | ||
| 611 | .align 5 | |
| 612 | .Loop_mul4x_reduction: | |
| 613 | $UMULL $t0,$a0,$bi # lo(a[0..3]*b[4]) | |
| 614 | addze $carry,$carry # modulo-scheduled | |
| 615 | $UMULL $t1,$a1,$bi | |
| 616 | addi $cnt,$cnt,$SIZE_T | |
| 617 | $UMULL $t2,$a2,$bi | |
| 618 | andi. $cnt,$cnt,$SIZE_T*4-1 | |
| 619 | $UMULL $t3,$a3,$bi | |
| 620 | addc $acc0,$acc0,$t0 | |
| 621 | $UMULH $t0,$a0,$bi # hi(a[0..3]*b[4]) | |
| 622 | adde $acc1,$acc1,$t1 | |
| 623 | $UMULH $t1,$a1,$bi | |
| 624 | adde $acc2,$acc2,$t2 | |
| 625 | $UMULL $mi,$acc0,$n0 # t[0]*n0 | |
| 626 | adde $acc3,$acc3,$t3 | |
| 627 | $UMULH $t2,$a2,$bi | |
| 628 | addze $acc4,$zero | |
| 629 | $UMULH $t3,$a3,$bi | |
| 630 | $LDX $bi,$bp,$cnt # next b[i] | |
| 631 | addc $acc1,$acc1,$t0 | |
| 632 | # (*) mul $t0,$m0,$mi | |
| 633 | $STU $mi,$SIZE_T($tp) # put aside t[0]*n0 for tail processing | |
| 634 | adde $acc2,$acc2,$t1 | |
| 635 | $UMULL $t1,$m1,$mi # lo(n[0..3]*t[0]*n0 | |
| 636 | adde $acc3,$acc3,$t2 | |
| 637 | $UMULL $t2,$m2,$mi | |
| 638 | adde $acc4,$acc4,$t3 # can't overflow | |
| 639 | $UMULL $t3,$m3,$mi | |
| 640 | # (*) addc $acc0,$acc0,$t0 | |
| 641 | addic $acc0,$acc0,-1 # (*), discarded | |
| 642 | $UMULH $t0,$m0,$mi # hi(n[0..3]*t[0]*n0 | |
| 643 | adde $acc0,$acc1,$t1 | |
| 644 | $UMULH $t1,$m1,$mi | |
| 645 | adde $acc1,$acc2,$t2 | |
| 646 | $UMULH $t2,$m2,$mi | |
| 647 | adde $acc2,$acc3,$t3 | |
| 648 | $UMULH $t3,$m3,$mi | |
| 649 | adde $acc3,$acc4,$carry | |
| 650 | addze $carry,$zero | |
| 651 | addc $acc0,$acc0,$t0 | |
| 652 | adde $acc1,$acc1,$t1 | |
| 653 | adde $acc2,$acc2,$t2 | |
| 654 | adde $acc3,$acc3,$t3 | |
| 655 | #addze $carry,$carry | |
| 656 | bne .Loop_mul4x_reduction | |
| 657 | ||
| 658 | $LD $t0,$SIZE_T*5($tp) # t[4..7] | |
| 659 | addze $carry,$carry | |
| 660 | $LD $t1,$SIZE_T*6($tp) | |
| 661 | $LD $t2,$SIZE_T*7($tp) | |
| 662 | $LD $t3,$SIZE_T*8($tp) | |
| 663 | $LD $a0,$SIZE_T*1($ap) # a[4..7] | |
| 664 | $LD $a1,$SIZE_T*2($ap) | |
| 665 | $LD $a2,$SIZE_T*3($ap) | |
| 666 | $LDU $a3,$SIZE_T*4($ap) | |
| 667 | addc $acc0,$acc0,$t0 | |
| 668 | adde $acc1,$acc1,$t1 | |
| 669 | adde $acc2,$acc2,$t2 | |
| 670 | adde $acc3,$acc3,$t3 | |
| 671 | #addze $carry,$carry | |
| 672 | ||
| 673 | $LD $mi,$SIZE_T*8($sp) # t[0]*n0 | |
| 674 | $LD $m0,$SIZE_T*1($np) # n[4..7] | |
| 675 | $LD $m1,$SIZE_T*2($np) | |
| 676 | $LD $m2,$SIZE_T*3($np) | |
| 677 | $LDU $m3,$SIZE_T*4($np) | |
| 678 | b .Loop_mul4x_tail | |
| 679 | ||
| 680 | .align 5 | |
| 681 | .Loop_mul4x_tail: | |
| 682 | $UMULL $t0,$a0,$bi # lo(a[4..7]*b[4]) | |
| 683 | addze $carry,$carry # modulo-scheduled | |
| 684 | $UMULL $t1,$a1,$bi | |
| 685 | addi $cnt,$cnt,$SIZE_T | |
| 686 | $UMULL $t2,$a2,$bi | |
| 687 | andi. $cnt,$cnt,$SIZE_T*4-1 | |
| 688 | $UMULL $t3,$a3,$bi | |
| 689 | addc $acc0,$acc0,$t0 | |
| 690 | $UMULH $t0,$a0,$bi # hi(a[4..7]*b[4]) | |
| 691 | adde $acc1,$acc1,$t1 | |
| 692 | $UMULH $t1,$a1,$bi | |
| 693 | adde $acc2,$acc2,$t2 | |
| 694 | $UMULH $t2,$a2,$bi | |
| 695 | adde $acc3,$acc3,$t3 | |
| 696 | $UMULH $t3,$a3,$bi | |
| 697 | addze $acc4,$zero | |
| 698 | $LDX $bi,$bp,$cnt # next b[i] | |
| 699 | addc $acc1,$acc1,$t0 | |
| 700 | $UMULL $t0,$m0,$mi # lo(n[4..7]*t[0]*n0) | |
| 701 | adde $acc2,$acc2,$t1 | |
| 702 | $UMULL $t1,$m1,$mi | |
| 703 | adde $acc3,$acc3,$t2 | |
| 704 | $UMULL $t2,$m2,$mi | |
| 705 | adde $acc4,$acc4,$t3 # can't overflow | |
| 706 | $UMULL $t3,$m3,$mi | |
| 707 | addc $acc0,$acc0,$t0 | |
| 708 | $UMULH $t0,$m0,$mi # hi(n[4..7]*t[0]*n0) | |
| 709 | adde $acc1,$acc1,$t1 | |
| 710 | $UMULH $t1,$m1,$mi | |
| 711 | adde $acc2,$acc2,$t2 | |
| 712 | $UMULH $t2,$m2,$mi | |
| 713 | adde $acc3,$acc3,$t3 | |
| 714 | $UMULH $t3,$m3,$mi | |
| 715 | adde $acc4,$acc4,$carry | |
| 716 | addi $mi,$sp,$SIZE_T*8 | |
| 717 | $LDX $mi,$mi,$cnt # next a[0]*n0 | |
| 718 | addze $carry,$zero | |
| 719 | $STU $acc0,$SIZE_T($tp) # word of result | |
| 720 | addc $acc0,$acc1,$t0 | |
| 721 | adde $acc1,$acc2,$t1 | |
| 722 | adde $acc2,$acc3,$t2 | |
| 723 | adde $acc3,$acc4,$t3 | |
| 724 | #addze $carry,$carry | |
| 725 | bne .Loop_mul4x_tail | |
| 726 | ||
| 727 | $LD $t0,$SIZE_T*5($tp) # next t[i] or topmost carry | |
| 728 | sub $t1,$np,$num # rewinded np? | |
| 729 | addze $carry,$carry | |
| 730 | $UCMP $ap_end,$ap # done yet? | |
| 731 | beq .Loop_mul4x_break | |
| 732 | ||
| 733 | $LD $t1,$SIZE_T*6($tp) | |
| 734 | $LD $t2,$SIZE_T*7($tp) | |
| 735 | $LD $t3,$SIZE_T*8($tp) | |
| 736 | $LD $a0,$SIZE_T*1($ap) | |
| 737 | $LD $a1,$SIZE_T*2($ap) | |
| 738 | $LD $a2,$SIZE_T*3($ap) | |
| 739 | $LDU $a3,$SIZE_T*4($ap) | |
| 740 | addc $acc0,$acc0,$t0 | |
| 741 | adde $acc1,$acc1,$t1 | |
| 742 | adde $acc2,$acc2,$t2 | |
| 743 | adde $acc3,$acc3,$t3 | |
| 744 | #addze $carry,$carry | |
| 745 | ||
| 746 | $LD $m0,$SIZE_T*1($np) # n[4..7] | |
| 747 | $LD $m1,$SIZE_T*2($np) | |
| 748 | $LD $m2,$SIZE_T*3($np) | |
| 749 | $LDU $m3,$SIZE_T*4($np) | |
| 750 | b .Loop_mul4x_tail | |
| 751 | ||
| 752 | .align 5 | |
| 753 | .Loop_mul4x_break: | |
| 754 | $POP $t2,$SIZE_T*6($sp) # pull rp and &b[num-4] | |
| 755 | $POP $t3,$SIZE_T*7($sp) | |
| 756 | addc $a0,$acc0,$t0 # accumulate topmost carry | |
| 757 | $LD $acc0,$SIZE_T*12($sp) # t[0..3] | |
| 758 | addze $a1,$acc1 | |
| 759 | $LD $acc1,$SIZE_T*13($sp) | |
| 760 | addze $a2,$acc2 | |
| 761 | $LD $acc2,$SIZE_T*14($sp) | |
| 762 | addze $a3,$acc3 | |
| 763 | $LD $acc3,$SIZE_T*15($sp) | |
| 764 | addze $carry,$carry # topmost carry | |
| 765 | $ST $a0,$SIZE_T*1($tp) # result | |
| 766 | sub $ap,$ap_end,$num # rewind ap | |
| 767 | $ST $a1,$SIZE_T*2($tp) | |
| 768 | $ST $a2,$SIZE_T*3($tp) | |
| 769 | $ST $a3,$SIZE_T*4($tp) | |
| 770 | $ST $carry,$SIZE_T*5($tp) # store topmost carry | |
| 771 | ||
| 772 | $LD $m0,$SIZE_T*1($t1) # n[0..3] | |
| 773 | $LD $m1,$SIZE_T*2($t1) | |
| 774 | $LD $m2,$SIZE_T*3($t1) | |
| 775 | $LD $m3,$SIZE_T*4($t1) | |
| 776 | addi $np,$t1,$SIZE_T*4 | |
| 777 | $UCMP $bp,$t3 # done yet? | |
| 778 | beq .Lmul4x_post | |
| 779 | ||
| 780 | $LDU $bi,$SIZE_T*4($bp) | |
| 781 | $LD $a0,$SIZE_T*1($ap) # a[0..3] | |
| 782 | $LD $a1,$SIZE_T*2($ap) | |
| 783 | $LD $a2,$SIZE_T*3($ap) | |
| 784 | $LDU $a3,$SIZE_T*4($ap) | |
| 785 | li $carry,0 | |
| 786 | addic $tp,$sp,$SIZE_T*7 # &t[-1], clear carry bit | |
| 787 | b .Loop_mul4x_reduction | |
| 788 | ||
| 789 | .align 5 | |
| 790 | .Lmul4x_post: | |
| 791 | # Final step. We see if result is larger than modulus, and | |
| 792 | # if it is, subtract the modulus. But comparison implies | |
| 793 | # subtraction. So we subtract modulus, see if it borrowed, | |
| 794 | # and conditionally copy original value. | |
| 795 | srwi $cnt,$num,`log($SIZE_T)/log(2)+2` | |
| 796 | mr $bp,$t2 # &rp[-1] | |
| 797 | subi $cnt,$cnt,1 | |
| 798 | mr $ap_end,$t2 # &rp[-1] copy | |
| 799 | subfc $t0,$m0,$acc0 | |
| 800 | addi $tp,$sp,$SIZE_T*15 | |
| 801 | subfe $t1,$m1,$acc1 | |
| 802 | ||
| 803 | mtctr $cnt | |
| 804 | .Lmul4x_sub: | |
| 805 | $LD $m0,$SIZE_T*1($np) | |
| 806 | $LD $acc0,$SIZE_T*1($tp) | |
| 807 | subfe $t2,$m2,$acc2 | |
| 808 | $LD $m1,$SIZE_T*2($np) | |
| 809 | $LD $acc1,$SIZE_T*2($tp) | |
| 810 | subfe $t3,$m3,$acc3 | |
| 811 | $LD $m2,$SIZE_T*3($np) | |
| 812 | $LD $acc2,$SIZE_T*3($tp) | |
| 813 | $LDU $m3,$SIZE_T*4($np) | |
| 814 | $LDU $acc3,$SIZE_T*4($tp) | |
| 815 | $ST $t0,$SIZE_T*1($bp) | |
| 816 | $ST $t1,$SIZE_T*2($bp) | |
| 817 | subfe $t0,$m0,$acc0 | |
| 818 | $ST $t2,$SIZE_T*3($bp) | |
| 819 | $STU $t3,$SIZE_T*4($bp) | |
| 820 | subfe $t1,$m1,$acc1 | |
| 821 | bdnz .Lmul4x_sub | |
| 822 | ||
| 823 | $LD $a0,$SIZE_T*1($ap_end) | |
| 824 | $ST $t0,$SIZE_T*1($bp) | |
| 825 | $LD $t0,$SIZE_T*12($sp) | |
| 826 | subfe $t2,$m2,$acc2 | |
| 827 | $LD $a1,$SIZE_T*2($ap_end) | |
| 828 | $ST $t1,$SIZE_T*2($bp) | |
| 829 | $LD $t1,$SIZE_T*13($sp) | |
| 830 | subfe $t3,$m3,$acc3 | |
| 831 | subfe $carry,$zero,$carry # did it borrow? | |
| 832 | addi $tp,$sp,$SIZE_T*12 | |
| 833 | $LD $a2,$SIZE_T*3($ap_end) | |
| 834 | $ST $t2,$SIZE_T*3($bp) | |
| 835 | $LD $t2,$SIZE_T*14($sp) | |
| 836 | $LD $a3,$SIZE_T*4($ap_end) | |
| 837 | $ST $t3,$SIZE_T*4($bp) | |
| 838 | $LD $t3,$SIZE_T*15($sp) | |
| 839 | ||
| 840 | mtctr $cnt | |
| 841 | .Lmul4x_cond_copy: | |
| 842 | and $t0,$t0,$carry | |
| 843 | andc $a0,$a0,$carry | |
| 844 | $ST $zero,$SIZE_T*0($tp) # wipe stack clean | |
| 845 | and $t1,$t1,$carry | |
| 846 | andc $a1,$a1,$carry | |
| 847 | $ST $zero,$SIZE_T*1($tp) | |
| 848 | and $t2,$t2,$carry | |
| 849 | andc $a2,$a2,$carry | |
| 850 | $ST $zero,$SIZE_T*2($tp) | |
| 851 | and $t3,$t3,$carry | |
| 852 | andc $a3,$a3,$carry | |
| 853 | $ST $zero,$SIZE_T*3($tp) | |
| 854 | or $acc0,$t0,$a0 | |
| 855 | $LD $a0,$SIZE_T*5($ap_end) | |
| 856 | $LD $t0,$SIZE_T*4($tp) | |
| 857 | or $acc1,$t1,$a1 | |
| 858 | $LD $a1,$SIZE_T*6($ap_end) | |
| 859 | $LD $t1,$SIZE_T*5($tp) | |
| 860 | or $acc2,$t2,$a2 | |
| 861 | $LD $a2,$SIZE_T*7($ap_end) | |
| 862 | $LD $t2,$SIZE_T*6($tp) | |
| 863 | or $acc3,$t3,$a3 | |
| 864 | $LD $a3,$SIZE_T*8($ap_end) | |
| 865 | $LD $t3,$SIZE_T*7($tp) | |
| 866 | addi $tp,$tp,$SIZE_T*4 | |
| 867 | $ST $acc0,$SIZE_T*1($ap_end) | |
| 868 | $ST $acc1,$SIZE_T*2($ap_end) | |
| 869 | $ST $acc2,$SIZE_T*3($ap_end) | |
| 870 | $STU $acc3,$SIZE_T*4($ap_end) | |
| 871 | bdnz .Lmul4x_cond_copy | |
| 872 | ||
| 873 | $POP $bp,0($sp) # pull saved sp | |
| 874 | and $t0,$t0,$carry | |
| 875 | andc $a0,$a0,$carry | |
| 876 | $ST $zero,$SIZE_T*0($tp) | |
| 877 | and $t1,$t1,$carry | |
| 878 | andc $a1,$a1,$carry | |
| 879 | $ST $zero,$SIZE_T*1($tp) | |
| 880 | and $t2,$t2,$carry | |
| 881 | andc $a2,$a2,$carry | |
| 882 | $ST $zero,$SIZE_T*2($tp) | |
| 883 | and $t3,$t3,$carry | |
| 884 | andc $a3,$a3,$carry | |
| 885 | $ST $zero,$SIZE_T*3($tp) | |
| 886 | or $acc0,$t0,$a0 | |
| 887 | or $acc1,$t1,$a1 | |
| 888 | $ST $zero,$SIZE_T*4($tp) | |
| 889 | or $acc2,$t2,$a2 | |
| 890 | or $acc3,$t3,$a3 | |
| 891 | $ST $acc0,$SIZE_T*1($ap_end) | |
| 892 | $ST $acc1,$SIZE_T*2($ap_end) | |
| 893 | $ST $acc2,$SIZE_T*3($ap_end) | |
| 894 | $ST $acc3,$SIZE_T*4($ap_end) | |
| 895 | ||
| 896 | b .Lmul4x_done | |
| 897 | ||
| 898 | .align 4 | |
| 899 | .Lmul4x4_post_condition: | |
| 900 | $POP $ap,$SIZE_T*6($sp) # pull &rp[-1] | |
| 901 | $POP $bp,0($sp) # pull saved sp | |
| 902 | addze $carry,$carry # modulo-scheduled | |
| 903 | # $acc0-3,$carry hold result, $m0-3 hold modulus | |
| 904 | subfc $a0,$m0,$acc0 | |
| 905 | subfe $a1,$m1,$acc1 | |
| 906 | subfe $a2,$m2,$acc2 | |
| 907 | subfe $a3,$m3,$acc3 | |
| 908 | subfe $carry,$zero,$carry # did it borrow? | |
| 909 | ||
| 910 | and $m0,$m0,$carry | |
| 911 | and $m1,$m1,$carry | |
| 912 | addc $a0,$a0,$m0 | |
| 913 | and $m2,$m2,$carry | |
| 914 | adde $a1,$a1,$m1 | |
| 915 | and $m3,$m3,$carry | |
| 916 | adde $a2,$a2,$m2 | |
| 917 | adde $a3,$a3,$m3 | |
| 918 | ||
| 919 | $ST $a0,$SIZE_T*1($ap) # write result | |
| 920 | $ST $a1,$SIZE_T*2($ap) | |
| 921 | $ST $a2,$SIZE_T*3($ap) | |
| 922 | $ST $a3,$SIZE_T*4($ap) | |
| 923 | ||
| 924 | .Lmul4x_done: | |
| 925 | $ST $zero,$SIZE_T*8($sp) # wipe stack clean | |
| 926 | $ST $zero,$SIZE_T*9($sp) | |
| 927 | $ST $zero,$SIZE_T*10($sp) | |
| 928 | $ST $zero,$SIZE_T*11($sp) | |
| 929 | li r3,1 # signal "done" | |
| 930 | $POP r14,-$SIZE_T*18($bp) | |
| 931 | $POP r15,-$SIZE_T*17($bp) | |
| 932 | $POP r16,-$SIZE_T*16($bp) | |
| 933 | $POP r17,-$SIZE_T*15($bp) | |
| 934 | $POP r18,-$SIZE_T*14($bp) | |
| 935 | $POP r19,-$SIZE_T*13($bp) | |
| 936 | $POP r20,-$SIZE_T*12($bp) | |
| 937 | $POP r21,-$SIZE_T*11($bp) | |
| 938 | $POP r22,-$SIZE_T*10($bp) | |
| 939 | $POP r23,-$SIZE_T*9($bp) | |
| 940 | $POP r24,-$SIZE_T*8($bp) | |
| 941 | $POP r25,-$SIZE_T*7($bp) | |
| 942 | $POP r26,-$SIZE_T*6($bp) | |
| 943 | $POP r27,-$SIZE_T*5($bp) | |
| 944 | $POP r28,-$SIZE_T*4($bp) | |
| 945 | $POP r29,-$SIZE_T*3($bp) | |
| 946 | $POP r30,-$SIZE_T*2($bp) | |
| 947 | $POP r31,-$SIZE_T*1($bp) | |
| 948 | mr $sp,$bp | |
| 949 | blr | |
| 950 | .long 0 | |
| 951 | .byte 0,12,4,0x20,0x80,18,6,0 | |
| 952 | .long 0 | |
| 953 | .size .bn_mul4x_mont_int,.-.bn_mul4x_mont_int | |
| 954 | ___ | |
| 955 | } | |
| 956 | ||
| 957 | if (1) { | |
| 958 | ######################################################################## | |
| 959 | # Following is PPC adaptation of sqrx8x_mont from x86_64-mont5 module. | |
| 960 | ||
| 961 | my ($a0,$a1,$a2,$a3,$a4,$a5,$a6,$a7)=map("r$_",(9..12,14..17)); | |
| 962 | my ($t0,$t1,$t2,$t3)=map("r$_",(18..21)); | |
| 963 | my ($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7)=map("r$_",(22..29)); | |
| 964 | my ($cnt,$carry,$zero)=("r30","r31","r0"); | |
| 965 | my ($tp,$ap_end,$na0)=($bp,$np,$carry); | |
| 966 | ||
| 967 | # sp----------->+-------------------------------+ | |
| 968 | # | saved sp | | |
| 969 | # +-------------------------------+ | |
| 970 | # . . | |
| 971 | # +12*size_t +-------------------------------+ | |
| 972 | # | size_t tmp[2*num] | | |
| 973 | # . . | |
| 974 | # . . | |
| 975 | # . . | |
| 976 | # +-------------------------------+ | |
| 977 | # . . | |
| 978 | # -18*size_t +-------------------------------+ | |
| 979 | # | 18 saved gpr, r14-r31 | | |
| 980 | # . . | |
| 981 | # . . | |
| 982 | # +-------------------------------+ | |
| 983 | $code.=<<___; | |
| 984 | .align 5 | |
| 985 | __bn_sqr8x_mont: | |
| 986 | .Lsqr8x_do: | |
| 987 | mr $a0,$sp | |
| 988 | slwi $a1,$num,`log($SIZE_T)/log(2)+1` | |
| 989 | li $a2,-32*$SIZE_T | |
| 990 | sub $a1,$a2,$a1 | |
| 991 | slwi $num,$num,`log($SIZE_T)/log(2)` | |
| 992 | $STUX $sp,$sp,$a1 # alloca | |
| 993 | ||
| 994 | $PUSH r14,-$SIZE_T*18($a0) | |
| 995 | $PUSH r15,-$SIZE_T*17($a0) | |
| 996 | $PUSH r16,-$SIZE_T*16($a0) | |
| 997 | $PUSH r17,-$SIZE_T*15($a0) | |
| 998 | $PUSH r18,-$SIZE_T*14($a0) | |
| 999 | $PUSH r19,-$SIZE_T*13($a0) | |
| 1000 | $PUSH r20,-$SIZE_T*12($a0) | |
| 1001 | $PUSH r21,-$SIZE_T*11($a0) | |
| 1002 | $PUSH r22,-$SIZE_T*10($a0) | |
| 1003 | $PUSH r23,-$SIZE_T*9($a0) | |
| 1004 | $PUSH r24,-$SIZE_T*8($a0) | |
| 1005 | $PUSH r25,-$SIZE_T*7($a0) | |
| 1006 | $PUSH r26,-$SIZE_T*6($a0) | |
| 1007 | $PUSH r27,-$SIZE_T*5($a0) | |
| 1008 | $PUSH r28,-$SIZE_T*4($a0) | |
| 1009 | $PUSH r29,-$SIZE_T*3($a0) | |
| 1010 | $PUSH r30,-$SIZE_T*2($a0) | |
| 1011 | $PUSH r31,-$SIZE_T*1($a0) | |
| 1012 | ||
| 1013 | subi $ap,$ap,$SIZE_T # bias by -1 | |
| 1014 | subi $t0,$np,$SIZE_T # bias by -1 | |
| 1015 | subi $rp,$rp,$SIZE_T # bias by -1 | |
| 1016 | $LD $n0,0($n0) # *n0 | |
| 1017 | li $zero,0 | |
| 1018 | ||
| 1019 | add $ap_end,$ap,$num | |
| 1020 | $LD $a0,$SIZE_T*1($ap) | |
| 1021 | #li $acc0,0 | |
| 1022 | $LD $a1,$SIZE_T*2($ap) | |
| 1023 | li $acc1,0 | |
| 1024 | $LD $a2,$SIZE_T*3($ap) | |
| 1025 | li $acc2,0 | |
| 1026 | $LD $a3,$SIZE_T*4($ap) | |
| 1027 | li $acc3,0 | |
| 1028 | $LD $a4,$SIZE_T*5($ap) | |
| 1029 | li $acc4,0 | |
| 1030 | $LD $a5,$SIZE_T*6($ap) | |
| 1031 | li $acc5,0 | |
| 1032 | $LD $a6,$SIZE_T*7($ap) | |
| 1033 | li $acc6,0 | |
| 1034 | $LDU $a7,$SIZE_T*8($ap) | |
| 1035 | li $acc7,0 | |
| 1036 | ||
| 1037 | addi $tp,$sp,$SIZE_T*11 # &tp[-1] | |
| 1038 | subic. $cnt,$num,$SIZE_T*8 | |
| 1039 | b .Lsqr8x_zero_start | |
| 1040 | ||
| 1041 | .align 5 | |
| 1042 | .Lsqr8x_zero: | |
| 1043 | subic. $cnt,$cnt,$SIZE_T*8 | |
| 1044 | $ST $zero,$SIZE_T*1($tp) | |
| 1045 | $ST $zero,$SIZE_T*2($tp) | |
| 1046 | $ST $zero,$SIZE_T*3($tp) | |
| 1047 | $ST $zero,$SIZE_T*4($tp) | |
| 1048 | $ST $zero,$SIZE_T*5($tp) | |
| 1049 | $ST $zero,$SIZE_T*6($tp) | |
| 1050 | $ST $zero,$SIZE_T*7($tp) | |
| 1051 | $ST $zero,$SIZE_T*8($tp) | |
| 1052 | .Lsqr8x_zero_start: | |
| 1053 | $ST $zero,$SIZE_T*9($tp) | |
| 1054 | $ST $zero,$SIZE_T*10($tp) | |
| 1055 | $ST $zero,$SIZE_T*11($tp) | |
| 1056 | $ST $zero,$SIZE_T*12($tp) | |
| 1057 | $ST $zero,$SIZE_T*13($tp) | |
| 1058 | $ST $zero,$SIZE_T*14($tp) | |
| 1059 | $ST $zero,$SIZE_T*15($tp) | |
| 1060 | $STU $zero,$SIZE_T*16($tp) | |
| 1061 | bne .Lsqr8x_zero | |
| 1062 | ||
| 1063 | $PUSH $rp,$SIZE_T*6($sp) # offload &rp[-1] | |
| 1064 | $PUSH $t0,$SIZE_T*7($sp) # offload &np[-1] | |
| 1065 | $PUSH $n0,$SIZE_T*8($sp) # offload n0 | |
| 1066 | $PUSH $tp,$SIZE_T*9($sp) # &tp[2*num-1] | |
| 1067 | $PUSH $zero,$SIZE_T*10($sp) # initial top-most carry | |
| 1068 | addi $tp,$sp,$SIZE_T*11 # &tp[-1] | |
| 1069 | ||
| 1070 | # Multiply everything but a[i]*a[i] | |
| 1071 | .align 5 | |
| 1072 | .Lsqr8x_outer_loop: | |
| 1073 | # a[1]a[0] (i) | |
| 1074 | # a[2]a[0] | |
| 1075 | # a[3]a[0] | |
| 1076 | # a[4]a[0] | |
| 1077 | # a[5]a[0] | |
| 1078 | # a[6]a[0] | |
| 1079 | # a[7]a[0] | |
| 1080 | # a[2]a[1] (ii) | |
| 1081 | # a[3]a[1] | |
| 1082 | # a[4]a[1] | |
| 1083 | # a[5]a[1] | |
| 1084 | # a[6]a[1] | |
| 1085 | # a[7]a[1] | |
| 1086 | # a[3]a[2] (iii) | |
| 1087 | # a[4]a[2] | |
| 1088 | # a[5]a[2] | |
| 1089 | # a[6]a[2] | |
| 1090 | # a[7]a[2] | |
| 1091 | # a[4]a[3] (iv) | |
| 1092 | # a[5]a[3] | |
| 1093 | # a[6]a[3] | |
| 1094 | # a[7]a[3] | |
| 1095 | # a[5]a[4] (v) | |
| 1096 | # a[6]a[4] | |
| 1097 | # a[7]a[4] | |
| 1098 | # a[6]a[5] (vi) | |
| 1099 | # a[7]a[5] | |
| 1100 | # a[7]a[6] (vii) | |
| 1101 | ||
| 1102 | $UMULL $t0,$a1,$a0 # lo(a[1..7]*a[0]) (i) | |
| 1103 | $UMULL $t1,$a2,$a0 | |
| 1104 | $UMULL $t2,$a3,$a0 | |
| 1105 | $UMULL $t3,$a4,$a0 | |
| 1106 | addc $acc1,$acc1,$t0 # t[1]+lo(a[1]*a[0]) | |
| 1107 | $UMULL $t0,$a5,$a0 | |
| 1108 | adde $acc2,$acc2,$t1 | |
| 1109 | $UMULL $t1,$a6,$a0 | |
| 1110 | adde $acc3,$acc3,$t2 | |
| 1111 | $UMULL $t2,$a7,$a0 | |
| 1112 | adde $acc4,$acc4,$t3 | |
| 1113 | $UMULH $t3,$a1,$a0 # hi(a[1..7]*a[0]) | |
| 1114 | adde $acc5,$acc5,$t0 | |
| 1115 | $UMULH $t0,$a2,$a0 | |
| 1116 | adde $acc6,$acc6,$t1 | |
| 1117 | $UMULH $t1,$a3,$a0 | |
| 1118 | adde $acc7,$acc7,$t2 | |
| 1119 | $UMULH $t2,$a4,$a0 | |
| 1120 | $ST $acc0,$SIZE_T*1($tp) # t[0] | |
| 1121 | addze $acc0,$zero # t[8] | |
| 1122 | $ST $acc1,$SIZE_T*2($tp) # t[1] | |
| 1123 | addc $acc2,$acc2,$t3 # t[2]+lo(a[1]*a[0]) | |
| 1124 | $UMULH $t3,$a5,$a0 | |
| 1125 | adde $acc3,$acc3,$t0 | |
| 1126 | $UMULH $t0,$a6,$a0 | |
| 1127 | adde $acc4,$acc4,$t1 | |
| 1128 | $UMULH $t1,$a7,$a0 | |
| 1129 | adde $acc5,$acc5,$t2 | |
| 1130 | $UMULL $t2,$a2,$a1 # lo(a[2..7]*a[1]) (ii) | |
| 1131 | adde $acc6,$acc6,$t3 | |
| 1132 | $UMULL $t3,$a3,$a1 | |
| 1133 | adde $acc7,$acc7,$t0 | |
| 1134 | $UMULL $t0,$a4,$a1 | |
| 1135 | adde $acc0,$acc0,$t1 | |
| 1136 | ||
| 1137 | $UMULL $t1,$a5,$a1 | |
| 1138 | addc $acc3,$acc3,$t2 | |
| 1139 | $UMULL $t2,$a6,$a1 | |
| 1140 | adde $acc4,$acc4,$t3 | |
| 1141 | $UMULL $t3,$a7,$a1 | |
| 1142 | adde $acc5,$acc5,$t0 | |
| 1143 | $UMULH $t0,$a2,$a1 # hi(a[2..7]*a[1]) | |
| 1144 | adde $acc6,$acc6,$t1 | |
| 1145 | $UMULH $t1,$a3,$a1 | |
| 1146 | adde $acc7,$acc7,$t2 | |
| 1147 | $UMULH $t2,$a4,$a1 | |
| 1148 | adde $acc0,$acc0,$t3 | |
| 1149 | $UMULH $t3,$a5,$a1 | |
| 1150 | $ST $acc2,$SIZE_T*3($tp) # t[2] | |
| 1151 | addze $acc1,$zero # t[9] | |
| 1152 | $ST $acc3,$SIZE_T*4($tp) # t[3] | |
| 1153 | addc $acc4,$acc4,$t0 | |
| 1154 | $UMULH $t0,$a6,$a1 | |
| 1155 | adde $acc5,$acc5,$t1 | |
| 1156 | $UMULH $t1,$a7,$a1 | |
| 1157 | adde $acc6,$acc6,$t2 | |
| 1158 | $UMULL $t2,$a3,$a2 # lo(a[3..7]*a[2]) (iii) | |
| 1159 | adde $acc7,$acc7,$t3 | |
| 1160 | $UMULL $t3,$a4,$a2 | |
| 1161 | adde $acc0,$acc0,$t0 | |
| 1162 | $UMULL $t0,$a5,$a2 | |
| 1163 | adde $acc1,$acc1,$t1 | |
| 1164 | ||
| 1165 | $UMULL $t1,$a6,$a2 | |
| 1166 | addc $acc5,$acc5,$t2 | |
| 1167 | $UMULL $t2,$a7,$a2 | |
| 1168 | adde $acc6,$acc6,$t3 | |
| 1169 | $UMULH $t3,$a3,$a2 # hi(a[3..7]*a[2]) | |
| 1170 | adde $acc7,$acc7,$t0 | |
| 1171 | $UMULH $t0,$a4,$a2 | |
| 1172 | adde $acc0,$acc0,$t1 | |
| 1173 | $UMULH $t1,$a5,$a2 | |
| 1174 | adde $acc1,$acc1,$t2 | |
| 1175 | $UMULH $t2,$a6,$a2 | |
| 1176 | $ST $acc4,$SIZE_T*5($tp) # t[4] | |
| 1177 | addze $acc2,$zero # t[10] | |
| 1178 | $ST $acc5,$SIZE_T*6($tp) # t[5] | |
| 1179 | addc $acc6,$acc6,$t3 | |
| 1180 | $UMULH $t3,$a7,$a2 | |
| 1181 | adde $acc7,$acc7,$t0 | |
| 1182 | $UMULL $t0,$a4,$a3 # lo(a[4..7]*a[3]) (iv) | |
| 1183 | adde $acc0,$acc0,$t1 | |
| 1184 | $UMULL $t1,$a5,$a3 | |
| 1185 | adde $acc1,$acc1,$t2 | |
| 1186 | $UMULL $t2,$a6,$a3 | |
| 1187 | adde $acc2,$acc2,$t3 | |
| 1188 | ||
| 1189 | $UMULL $t3,$a7,$a3 | |
| 1190 | addc $acc7,$acc7,$t0 | |
| 1191 | $UMULH $t0,$a4,$a3 # hi(a[4..7]*a[3]) | |
| 1192 | adde $acc0,$acc0,$t1 | |
| 1193 | $UMULH $t1,$a5,$a3 | |
| 1194 | adde $acc1,$acc1,$t2 | |
| 1195 | $UMULH $t2,$a6,$a3 | |
| 1196 | adde $acc2,$acc2,$t3 | |
| 1197 | $UMULH $t3,$a7,$a3 | |
| 1198 | $ST $acc6,$SIZE_T*7($tp) # t[6] | |
| 1199 | addze $acc3,$zero # t[11] | |
| 1200 | $STU $acc7,$SIZE_T*8($tp) # t[7] | |
| 1201 | addc $acc0,$acc0,$t0 | |
| 1202 | $UMULL $t0,$a5,$a4 # lo(a[5..7]*a[4]) (v) | |
| 1203 | adde $acc1,$acc1,$t1 | |
| 1204 | $UMULL $t1,$a6,$a4 | |
| 1205 | adde $acc2,$acc2,$t2 | |
| 1206 | $UMULL $t2,$a7,$a4 | |
| 1207 | adde $acc3,$acc3,$t3 | |
| 1208 | ||
| 1209 | $UMULH $t3,$a5,$a4 # hi(a[5..7]*a[4]) | |
| 1210 | addc $acc1,$acc1,$t0 | |
| 1211 | $UMULH $t0,$a6,$a4 | |
| 1212 | adde $acc2,$acc2,$t1 | |
| 1213 | $UMULH $t1,$a7,$a4 | |
| 1214 | adde $acc3,$acc3,$t2 | |
| 1215 | $UMULL $t2,$a6,$a5 # lo(a[6..7]*a[5]) (vi) | |
| 1216 | addze $acc4,$zero # t[12] | |
| 1217 | addc $acc2,$acc2,$t3 | |
| 1218 | $UMULL $t3,$a7,$a5 | |
| 1219 | adde $acc3,$acc3,$t0 | |
| 1220 | $UMULH $t0,$a6,$a5 # hi(a[6..7]*a[5]) | |
| 1221 | adde $acc4,$acc4,$t1 | |
| 1222 | ||
| 1223 | $UMULH $t1,$a7,$a5 | |
| 1224 | addc $acc3,$acc3,$t2 | |
| 1225 | $UMULL $t2,$a7,$a6 # lo(a[7]*a[6]) (vii) | |
| 1226 | adde $acc4,$acc4,$t3 | |
| 1227 | $UMULH $t3,$a7,$a6 # hi(a[7]*a[6]) | |
| 1228 | addze $acc5,$zero # t[13] | |
| 1229 | addc $acc4,$acc4,$t0 | |
| 1230 | $UCMP $ap_end,$ap # done yet? | |
| 1231 | adde $acc5,$acc5,$t1 | |
| 1232 | ||
| 1233 | addc $acc5,$acc5,$t2 | |
| 1234 | sub $t0,$ap_end,$num # rewinded ap | |
| 1235 | addze $acc6,$zero # t[14] | |
| 1236 | add $acc6,$acc6,$t3 | |
| 1237 | ||
| 1238 | beq .Lsqr8x_outer_break | |
| 1239 | ||
| 1240 | mr $n0,$a0 | |
| 1241 | $LD $a0,$SIZE_T*1($tp) | |
| 1242 | $LD $a1,$SIZE_T*2($tp) | |
| 1243 | $LD $a2,$SIZE_T*3($tp) | |
| 1244 | $LD $a3,$SIZE_T*4($tp) | |
| 1245 | $LD $a4,$SIZE_T*5($tp) | |
| 1246 | $LD $a5,$SIZE_T*6($tp) | |
| 1247 | $LD $a6,$SIZE_T*7($tp) | |
| 1248 | $LD $a7,$SIZE_T*8($tp) | |
| 1249 | addc $acc0,$acc0,$a0 | |
| 1250 | $LD $a0,$SIZE_T*1($ap) | |
| 1251 | adde $acc1,$acc1,$a1 | |
| 1252 | $LD $a1,$SIZE_T*2($ap) | |
| 1253 | adde $acc2,$acc2,$a2 | |
| 1254 | $LD $a2,$SIZE_T*3($ap) | |
| 1255 | adde $acc3,$acc3,$a3 | |
| 1256 | $LD $a3,$SIZE_T*4($ap) | |
| 1257 | adde $acc4,$acc4,$a4 | |
| 1258 | $LD $a4,$SIZE_T*5($ap) | |
| 1259 | adde $acc5,$acc5,$a5 | |
| 1260 | $LD $a5,$SIZE_T*6($ap) | |
| 1261 | adde $acc6,$acc6,$a6 | |
| 1262 | $LD $a6,$SIZE_T*7($ap) | |
| 1263 | subi $rp,$ap,$SIZE_T*7 | |
| 1264 | addze $acc7,$a7 | |
| 1265 | $LDU $a7,$SIZE_T*8($ap) | |
| 1266 | #addze $carry,$zero # moved below | |
| 1267 | li $cnt,0 | |
| 1268 | b .Lsqr8x_mul | |
| 1269 | ||
| 1270 | # a[8]a[0] | |
| 1271 | # a[9]a[0] | |
| 1272 | # a[a]a[0] | |
| 1273 | # a[b]a[0] | |
| 1274 | # a[c]a[0] | |
| 1275 | # a[d]a[0] | |
| 1276 | # a[e]a[0] | |
| 1277 | # a[f]a[0] | |
| 1278 | # a[8]a[1] | |
| 1279 | # a[f]a[1]........................ | |
| 1280 | # a[8]a[2] | |
| 1281 | # a[f]a[2]........................ | |
| 1282 | # a[8]a[3] | |
| 1283 | # a[f]a[3]........................ | |
| 1284 | # a[8]a[4] | |
| 1285 | # a[f]a[4]........................ | |
| 1286 | # a[8]a[5] | |
| 1287 | # a[f]a[5]........................ | |
| 1288 | # a[8]a[6] | |
| 1289 | # a[f]a[6]........................ | |
| 1290 | # a[8]a[7] | |
| 1291 | # a[f]a[7]........................ | |
| 1292 | .align 5 | |
| 1293 | .Lsqr8x_mul: | |
| 1294 | $UMULL $t0,$a0,$n0 | |
| 1295 | addze $carry,$zero # carry bit, modulo-scheduled | |
| 1296 | $UMULL $t1,$a1,$n0 | |
| 1297 | addi $cnt,$cnt,$SIZE_T | |
| 1298 | $UMULL $t2,$a2,$n0 | |
| 1299 | andi. $cnt,$cnt,$SIZE_T*8-1 | |
| 1300 | $UMULL $t3,$a3,$n0 | |
| 1301 | addc $acc0,$acc0,$t0 | |
| 1302 | $UMULL $t0,$a4,$n0 | |
| 1303 | adde $acc1,$acc1,$t1 | |
| 1304 | $UMULL $t1,$a5,$n0 | |
| 1305 | adde $acc2,$acc2,$t2 | |
| 1306 | $UMULL $t2,$a6,$n0 | |
| 1307 | adde $acc3,$acc3,$t3 | |
| 1308 | $UMULL $t3,$a7,$n0 | |
| 1309 | adde $acc4,$acc4,$t0 | |
| 1310 | $UMULH $t0,$a0,$n0 | |
| 1311 | adde $acc5,$acc5,$t1 | |
| 1312 | $UMULH $t1,$a1,$n0 | |
| 1313 | adde $acc6,$acc6,$t2 | |
| 1314 | $UMULH $t2,$a2,$n0 | |
| 1315 | adde $acc7,$acc7,$t3 | |
| 1316 | $UMULH $t3,$a3,$n0 | |
| 1317 | addze $carry,$carry | |
| 1318 | $STU $acc0,$SIZE_T($tp) | |
| 1319 | addc $acc0,$acc1,$t0 | |
| 1320 | $UMULH $t0,$a4,$n0 | |
| 1321 | adde $acc1,$acc2,$t1 | |
| 1322 | $UMULH $t1,$a5,$n0 | |
| 1323 | adde $acc2,$acc3,$t2 | |
| 1324 | $UMULH $t2,$a6,$n0 | |
| 1325 | adde $acc3,$acc4,$t3 | |
| 1326 | $UMULH $t3,$a7,$n0 | |
| 1327 | $LDX $n0,$rp,$cnt | |
| 1328 | adde $acc4,$acc5,$t0 | |
| 1329 | adde $acc5,$acc6,$t1 | |
| 1330 | adde $acc6,$acc7,$t2 | |
| 1331 | adde $acc7,$carry,$t3 | |
| 1332 | #addze $carry,$zero # moved above | |
| 1333 | bne .Lsqr8x_mul | |
| 1334 | # note that carry flag is guaranteed | |
| 1335 | # to be zero at this point | |
| 1336 | $UCMP $ap,$ap_end # done yet? | |
| 1337 | beq .Lsqr8x_break | |
| 1338 | ||
| 1339 | $LD $a0,$SIZE_T*1($tp) | |
| 1340 | $LD $a1,$SIZE_T*2($tp) | |
| 1341 | $LD $a2,$SIZE_T*3($tp) | |
| 1342 | $LD $a3,$SIZE_T*4($tp) | |
| 1343 | $LD $a4,$SIZE_T*5($tp) | |
| 1344 | $LD $a5,$SIZE_T*6($tp) | |
| 1345 | $LD $a6,$SIZE_T*7($tp) | |
| 1346 | $LD $a7,$SIZE_T*8($tp) | |
| 1347 | addc $acc0,$acc0,$a0 | |
| 1348 | $LD $a0,$SIZE_T*1($ap) | |
| 1349 | adde $acc1,$acc1,$a1 | |
| 1350 | $LD $a1,$SIZE_T*2($ap) | |
| 1351 | adde $acc2,$acc2,$a2 | |
| 1352 | $LD $a2,$SIZE_T*3($ap) | |
| 1353 | adde $acc3,$acc3,$a3 | |
| 1354 | $LD $a3,$SIZE_T*4($ap) | |
| 1355 | adde $acc4,$acc4,$a4 | |
| 1356 | $LD $a4,$SIZE_T*5($ap) | |
| 1357 | adde $acc5,$acc5,$a5 | |
| 1358 | $LD $a5,$SIZE_T*6($ap) | |
| 1359 | adde $acc6,$acc6,$a6 | |
| 1360 | $LD $a6,$SIZE_T*7($ap) | |
| 1361 | adde $acc7,$acc7,$a7 | |
| 1362 | $LDU $a7,$SIZE_T*8($ap) | |
| 1363 | #addze $carry,$zero # moved above | |
| 1364 | b .Lsqr8x_mul | |
| 1365 | ||
| 1366 | .align 5 | |
| 1367 | .Lsqr8x_break: | |
| 1368 | $LD $a0,$SIZE_T*8($rp) | |
| 1369 | addi $ap,$rp,$SIZE_T*15 | |
| 1370 | $LD $a1,$SIZE_T*9($rp) | |
| 1371 | sub. $t0,$ap_end,$ap # is it last iteration? | |
| 1372 | $LD $a2,$SIZE_T*10($rp) | |
| 1373 | sub $t1,$tp,$t0 | |
| 1374 | $LD $a3,$SIZE_T*11($rp) | |
| 1375 | $LD $a4,$SIZE_T*12($rp) | |
| 1376 | $LD $a5,$SIZE_T*13($rp) | |
| 1377 | $LD $a6,$SIZE_T*14($rp) | |
| 1378 | $LD $a7,$SIZE_T*15($rp) | |
| 1379 | beq .Lsqr8x_outer_loop | |
| 1380 | ||
| 1381 | $ST $acc0,$SIZE_T*1($tp) | |
| 1382 | $LD $acc0,$SIZE_T*1($t1) | |
| 1383 | $ST $acc1,$SIZE_T*2($tp) | |
| 1384 | $LD $acc1,$SIZE_T*2($t1) | |
| 1385 | $ST $acc2,$SIZE_T*3($tp) | |
| 1386 | $LD $acc2,$SIZE_T*3($t1) | |
| 1387 | $ST $acc3,$SIZE_T*4($tp) | |
| 1388 | $LD $acc3,$SIZE_T*4($t1) | |
| 1389 | $ST $acc4,$SIZE_T*5($tp) | |
| 1390 | $LD $acc4,$SIZE_T*5($t1) | |
| 1391 | $ST $acc5,$SIZE_T*6($tp) | |
| 1392 | $LD $acc5,$SIZE_T*6($t1) | |
| 1393 | $ST $acc6,$SIZE_T*7($tp) | |
| 1394 | $LD $acc6,$SIZE_T*7($t1) | |
| 1395 | $ST $acc7,$SIZE_T*8($tp) | |
| 1396 | $LD $acc7,$SIZE_T*8($t1) | |
| 1397 | mr $tp,$t1 | |
| 1398 | b .Lsqr8x_outer_loop | |
| 1399 | ||
| 1400 | .align 5 | |
| 1401 | .Lsqr8x_outer_break: | |
| 1402 | #################################################################### | |
| 1403 | # Now multiply above result by 2 and add a[n-1]*a[n-1]|...|a[0]*a[0] | |
| 1404 | $LD $a1,$SIZE_T*1($t0) # recall that $t0 is &a[-1] | |
| 1405 | $LD $a3,$SIZE_T*2($t0) | |
| 1406 | $LD $a5,$SIZE_T*3($t0) | |
| 1407 | $LD $a7,$SIZE_T*4($t0) | |
| 1408 | addi $ap,$t0,$SIZE_T*4 | |
| 1409 | # "tp[x]" comments are for num==8 case | |
| 1410 | $LD $t1,$SIZE_T*13($sp) # =tp[1], t[0] is not interesting | |
| 1411 | $LD $t2,$SIZE_T*14($sp) | |
| 1412 | $LD $t3,$SIZE_T*15($sp) | |
| 1413 | $LD $t0,$SIZE_T*16($sp) | |
| 1414 | ||
| 1415 | $ST $acc0,$SIZE_T*1($tp) # tp[8]= | |
| 1416 | srwi $cnt,$num,`log($SIZE_T)/log(2)+2` | |
| 1417 | $ST $acc1,$SIZE_T*2($tp) | |
| 1418 | subi $cnt,$cnt,1 | |
| 1419 | $ST $acc2,$SIZE_T*3($tp) | |
| 1420 | $ST $acc3,$SIZE_T*4($tp) | |
| 1421 | $ST $acc4,$SIZE_T*5($tp) | |
| 1422 | $ST $acc5,$SIZE_T*6($tp) | |
| 1423 | $ST $acc6,$SIZE_T*7($tp) | |
| 1424 | #$ST $acc7,$SIZE_T*8($tp) # tp[15] is not interesting | |
| 1425 | addi $tp,$sp,$SIZE_T*11 # &tp[-1] | |
| 1426 | $UMULL $acc0,$a1,$a1 | |
| 1427 | $UMULH $a1,$a1,$a1 | |
| 1428 | add $acc1,$t1,$t1 # <<1 | |
| 1429 | $SHRI $t1,$t1,$BITS-1 | |
| 1430 | $UMULL $a2,$a3,$a3 | |
| 1431 | $UMULH $a3,$a3,$a3 | |
| 1432 | addc $acc1,$acc1,$a1 | |
| 1433 | add $acc2,$t2,$t2 | |
| 1434 | $SHRI $t2,$t2,$BITS-1 | |
| 1435 | add $acc3,$t3,$t3 | |
| 1436 | $SHRI $t3,$t3,$BITS-1 | |
| 1437 | or $acc2,$acc2,$t1 | |
| 1438 | ||
| 1439 | mtctr $cnt | |
| 1440 | .Lsqr4x_shift_n_add: | |
| 1441 | $UMULL $a4,$a5,$a5 | |
| 1442 | $UMULH $a5,$a5,$a5 | |
| 1443 | $LD $t1,$SIZE_T*6($tp) # =tp[5] | |
| 1444 | $LD $a1,$SIZE_T*1($ap) | |
| 1445 | adde $acc2,$acc2,$a2 | |
| 1446 | add $acc4,$t0,$t0 | |
| 1447 | $SHRI $t0,$t0,$BITS-1 | |
| 1448 | or $acc3,$acc3,$t2 | |
| 1449 | $LD $t2,$SIZE_T*7($tp) # =tp[6] | |
| 1450 | adde $acc3,$acc3,$a3 | |
| 1451 | $LD $a3,$SIZE_T*2($ap) | |
| 1452 | add $acc5,$t1,$t1 | |
| 1453 | $SHRI $t1,$t1,$BITS-1 | |
| 1454 | or $acc4,$acc4,$t3 | |
| 1455 | $LD $t3,$SIZE_T*8($tp) # =tp[7] | |
| 1456 | $UMULL $a6,$a7,$a7 | |
| 1457 | $UMULH $a7,$a7,$a7 | |
| 1458 | adde $acc4,$acc4,$a4 | |
| 1459 | add $acc6,$t2,$t2 | |
| 1460 | $SHRI $t2,$t2,$BITS-1 | |
| 1461 | or $acc5,$acc5,$t0 | |
| 1462 | $LD $t0,$SIZE_T*9($tp) # =tp[8] | |
| 1463 | adde $acc5,$acc5,$a5 | |
| 1464 | $LD $a5,$SIZE_T*3($ap) | |
| 1465 | add $acc7,$t3,$t3 | |
| 1466 | $SHRI $t3,$t3,$BITS-1 | |
| 1467 | or $acc6,$acc6,$t1 | |
| 1468 | $LD $t1,$SIZE_T*10($tp) # =tp[9] | |
| 1469 | $UMULL $a0,$a1,$a1 | |
| 1470 | $UMULH $a1,$a1,$a1 | |
| 1471 | adde $acc6,$acc6,$a6 | |
| 1472 | $ST $acc0,$SIZE_T*1($tp) # tp[0]= | |
| 1473 | add $acc0,$t0,$t0 | |
| 1474 | $SHRI $t0,$t0,$BITS-1 | |
| 1475 | or $acc7,$acc7,$t2 | |
| 1476 | $LD $t2,$SIZE_T*11($tp) # =tp[10] | |
| 1477 | adde $acc7,$acc7,$a7 | |
| 1478 | $LDU $a7,$SIZE_T*4($ap) | |
| 1479 | $ST $acc1,$SIZE_T*2($tp) # tp[1]= | |
| 1480 | add $acc1,$t1,$t1 | |
| 1481 | $SHRI $t1,$t1,$BITS-1 | |
| 1482 | or $acc0,$acc0,$t3 | |
| 1483 | $LD $t3,$SIZE_T*12($tp) # =tp[11] | |
| 1484 | $UMULL $a2,$a3,$a3 | |
| 1485 | $UMULH $a3,$a3,$a3 | |
| 1486 | adde $acc0,$acc0,$a0 | |
| 1487 | $ST $acc2,$SIZE_T*3($tp) # tp[2]= | |
| 1488 | add $acc2,$t2,$t2 | |
| 1489 | $SHRI $t2,$t2,$BITS-1 | |
| 1490 | or $acc1,$acc1,$t0 | |
| 1491 | $LD $t0,$SIZE_T*13($tp) # =tp[12] | |
| 1492 | adde $acc1,$acc1,$a1 | |
| 1493 | $ST $acc3,$SIZE_T*4($tp) # tp[3]= | |
| 1494 | $ST $acc4,$SIZE_T*5($tp) # tp[4]= | |
| 1495 | $ST $acc5,$SIZE_T*6($tp) # tp[5]= | |
| 1496 | $ST $acc6,$SIZE_T*7($tp) # tp[6]= | |
| 1497 | $STU $acc7,$SIZE_T*8($tp) # tp[7]= | |
| 1498 | add $acc3,$t3,$t3 | |
| 1499 | $SHRI $t3,$t3,$BITS-1 | |
| 1500 | or $acc2,$acc2,$t1 | |
| 1501 | bdnz .Lsqr4x_shift_n_add | |
| 1502 | ___ | |
| 1503 | my ($np,$np_end)=($ap,$ap_end); | |
| 1504 | $code.=<<___; | |
| 1505 | $POP $np,$SIZE_T*7($sp) # pull &np[-1] and n0 | |
| 1506 | $POP $n0,$SIZE_T*8($sp) | |
| 1507 | ||
| 1508 | $UMULL $a4,$a5,$a5 | |
| 1509 | $UMULH $a5,$a5,$a5 | |
| 1510 | $ST $acc0,$SIZE_T*1($tp) # tp[8]= | |
| 1511 | $LD $acc0,$SIZE_T*12($sp) # =tp[0] | |
| 1512 | $LD $t1,$SIZE_T*6($tp) # =tp[13] | |
| 1513 | adde $acc2,$acc2,$a2 | |
| 1514 | add $acc4,$t0,$t0 | |
| 1515 | $SHRI $t0,$t0,$BITS-1 | |
| 1516 | or $acc3,$acc3,$t2 | |
| 1517 | $LD $t2,$SIZE_T*7($tp) # =tp[14] | |
| 1518 | adde $acc3,$acc3,$a3 | |
| 1519 | add $acc5,$t1,$t1 | |
| 1520 | $SHRI $t1,$t1,$BITS-1 | |
| 1521 | or $acc4,$acc4,$t3 | |
| 1522 | $UMULL $a6,$a7,$a7 | |
| 1523 | $UMULH $a7,$a7,$a7 | |
| 1524 | adde $acc4,$acc4,$a4 | |
| 1525 | add $acc6,$t2,$t2 | |
| 1526 | $SHRI $t2,$t2,$BITS-1 | |
| 1527 | or $acc5,$acc5,$t0 | |
| 1528 | $ST $acc1,$SIZE_T*2($tp) # tp[9]= | |
| 1529 | $LD $acc1,$SIZE_T*13($sp) # =tp[1] | |
| 1530 | adde $acc5,$acc5,$a5 | |
| 1531 | or $acc6,$acc6,$t1 | |
| 1532 | $LD $a0,$SIZE_T*1($np) | |
| 1533 | $LD $a1,$SIZE_T*2($np) | |
| 1534 | adde $acc6,$acc6,$a6 | |
| 1535 | $LD $a2,$SIZE_T*3($np) | |
| 1536 | $LD $a3,$SIZE_T*4($np) | |
| 1537 | adde $acc7,$a7,$t2 | |
| 1538 | $LD $a4,$SIZE_T*5($np) | |
| 1539 | $LD $a5,$SIZE_T*6($np) | |
| 1540 | ||
| 1541 | ################################################################ | |
| 1542 | # Reduce by 8 limbs per iteration | |
| 1543 | $UMULL $na0,$n0,$acc0 # t[0]*n0 | |
| 1544 | li $cnt,8 | |
| 1545 | $LD $a6,$SIZE_T*7($np) | |
| 1546 | add $np_end,$np,$num | |
| 1547 | $LDU $a7,$SIZE_T*8($np) | |
| 1548 | $ST $acc2,$SIZE_T*3($tp) # tp[10]= | |
| 1549 | $LD $acc2,$SIZE_T*14($sp) | |
| 1550 | $ST $acc3,$SIZE_T*4($tp) # tp[11]= | |
| 1551 | $LD $acc3,$SIZE_T*15($sp) | |
| 1552 | $ST $acc4,$SIZE_T*5($tp) # tp[12]= | |
| 1553 | $LD $acc4,$SIZE_T*16($sp) | |
| 1554 | $ST $acc5,$SIZE_T*6($tp) # tp[13]= | |
| 1555 | $LD $acc5,$SIZE_T*17($sp) | |
| 1556 | $ST $acc6,$SIZE_T*7($tp) # tp[14]= | |
| 1557 | $LD $acc6,$SIZE_T*18($sp) | |
| 1558 | $ST $acc7,$SIZE_T*8($tp) # tp[15]= | |
| 1559 | $LD $acc7,$SIZE_T*19($sp) | |
| 1560 | addi $tp,$sp,$SIZE_T*11 # &tp[-1] | |
| 1561 | mtctr $cnt | |
| 1562 | b .Lsqr8x_reduction | |
| 1563 | ||
| 1564 | .align 5 | |
| 1565 | .Lsqr8x_reduction: | |
| 1566 | # (*) $UMULL $t0,$a0,$na0 # lo(n[0-7])*lo(t[0]*n0) | |
| 1567 | $UMULL $t1,$a1,$na0 | |
| 1568 | $UMULL $t2,$a2,$na0 | |
| 1569 | $STU $na0,$SIZE_T($tp) # put aside t[0]*n0 for tail processing | |
| 1570 | $UMULL $t3,$a3,$na0 | |
| 1571 | # (*) addc $acc0,$acc0,$t0 | |
| 1572 | addic $acc0,$acc0,-1 # (*) | |
| 1573 | $UMULL $t0,$a4,$na0 | |
| 1574 | adde $acc0,$acc1,$t1 | |
| 1575 | $UMULL $t1,$a5,$na0 | |
| 1576 | adde $acc1,$acc2,$t2 | |
| 1577 | $UMULL $t2,$a6,$na0 | |
| 1578 | adde $acc2,$acc3,$t3 | |
| 1579 | $UMULL $t3,$a7,$na0 | |
| 1580 | adde $acc3,$acc4,$t0 | |
| 1581 | $UMULH $t0,$a0,$na0 # hi(n[0-7])*lo(t[0]*n0) | |
| 1582 | adde $acc4,$acc5,$t1 | |
| 1583 | $UMULH $t1,$a1,$na0 | |
| 1584 | adde $acc5,$acc6,$t2 | |
| 1585 | $UMULH $t2,$a2,$na0 | |
| 1586 | adde $acc6,$acc7,$t3 | |
| 1587 | $UMULH $t3,$a3,$na0 | |
| 1588 | addze $acc7,$zero | |
| 1589 | addc $acc0,$acc0,$t0 | |
| 1590 | $UMULH $t0,$a4,$na0 | |
| 1591 | adde $acc1,$acc1,$t1 | |
| 1592 | $UMULH $t1,$a5,$na0 | |
| 1593 | adde $acc2,$acc2,$t2 | |
| 1594 | $UMULH $t2,$a6,$na0 | |
| 1595 | adde $acc3,$acc3,$t3 | |
| 1596 | $UMULH $t3,$a7,$na0 | |
| 1597 | $UMULL $na0,$n0,$acc0 # next t[0]*n0 | |
| 1598 | adde $acc4,$acc4,$t0 | |
| 1599 | adde $acc5,$acc5,$t1 | |
| 1600 | adde $acc6,$acc6,$t2 | |
| 1601 | adde $acc7,$acc7,$t3 | |
| 1602 | bdnz .Lsqr8x_reduction | |
| 1603 | ||
| 1604 | $LD $t0,$SIZE_T*1($tp) | |
| 1605 | $LD $t1,$SIZE_T*2($tp) | |
| 1606 | $LD $t2,$SIZE_T*3($tp) | |
| 1607 | $LD $t3,$SIZE_T*4($tp) | |
| 1608 | subi $rp,$tp,$SIZE_T*7 | |
| 1609 | $UCMP $np_end,$np # done yet? | |
| 1610 | addc $acc0,$acc0,$t0 | |
| 1611 | $LD $t0,$SIZE_T*5($tp) | |
| 1612 | adde $acc1,$acc1,$t1 | |
| 1613 | $LD $t1,$SIZE_T*6($tp) | |
| 1614 | adde $acc2,$acc2,$t2 | |
| 1615 | $LD $t2,$SIZE_T*7($tp) | |
| 1616 | adde $acc3,$acc3,$t3 | |
| 1617 | $LD $t3,$SIZE_T*8($tp) | |
| 1618 | adde $acc4,$acc4,$t0 | |
| 1619 | adde $acc5,$acc5,$t1 | |
| 1620 | adde $acc6,$acc6,$t2 | |
| 1621 | adde $acc7,$acc7,$t3 | |
| 1622 | #addze $carry,$zero # moved below | |
| 1623 | beq .Lsqr8x8_post_condition | |
| 1624 | ||
| 1625 | $LD $n0,$SIZE_T*0($rp) | |
| 1626 | $LD $a0,$SIZE_T*1($np) | |
| 1627 | $LD $a1,$SIZE_T*2($np) | |
| 1628 | $LD $a2,$SIZE_T*3($np) | |
| 1629 | $LD $a3,$SIZE_T*4($np) | |
| 1630 | $LD $a4,$SIZE_T*5($np) | |
| 1631 | $LD $a5,$SIZE_T*6($np) | |
| 1632 | $LD $a6,$SIZE_T*7($np) | |
| 1633 | $LDU $a7,$SIZE_T*8($np) | |
| 1634 | li $cnt,0 | |
| 1635 | ||
| 1636 | .align 5 | |
| 1637 | .Lsqr8x_tail: | |
| 1638 | $UMULL $t0,$a0,$n0 | |
| 1639 | addze $carry,$zero # carry bit, modulo-scheduled | |
| 1640 | $UMULL $t1,$a1,$n0 | |
| 1641 | addi $cnt,$cnt,$SIZE_T | |
| 1642 | $UMULL $t2,$a2,$n0 | |
| 1643 | andi. $cnt,$cnt,$SIZE_T*8-1 | |
| 1644 | $UMULL $t3,$a3,$n0 | |
| 1645 | addc $acc0,$acc0,$t0 | |
| 1646 | $UMULL $t0,$a4,$n0 | |
| 1647 | adde $acc1,$acc1,$t1 | |
| 1648 | $UMULL $t1,$a5,$n0 | |
| 1649 | adde $acc2,$acc2,$t2 | |
| 1650 | $UMULL $t2,$a6,$n0 | |
| 1651 | adde $acc3,$acc3,$t3 | |
| 1652 | $UMULL $t3,$a7,$n0 | |
| 1653 | adde $acc4,$acc4,$t0 | |
| 1654 | $UMULH $t0,$a0,$n0 | |
| 1655 | adde $acc5,$acc5,$t1 | |
| 1656 | $UMULH $t1,$a1,$n0 | |
| 1657 | adde $acc6,$acc6,$t2 | |
| 1658 | $UMULH $t2,$a2,$n0 | |
| 1659 | adde $acc7,$acc7,$t3 | |
| 1660 | $UMULH $t3,$a3,$n0 | |
| 1661 | addze $carry,$carry | |
| 1662 | $STU $acc0,$SIZE_T($tp) | |
| 1663 | addc $acc0,$acc1,$t0 | |
| 1664 | $UMULH $t0,$a4,$n0 | |
| 1665 | adde $acc1,$acc2,$t1 | |
| 1666 | $UMULH $t1,$a5,$n0 | |
| 1667 | adde $acc2,$acc3,$t2 | |
| 1668 | $UMULH $t2,$a6,$n0 | |
| 1669 | adde $acc3,$acc4,$t3 | |
| 1670 | $UMULH $t3,$a7,$n0 | |
| 1671 | $LDX $n0,$rp,$cnt | |
| 1672 | adde $acc4,$acc5,$t0 | |
| 1673 | adde $acc5,$acc6,$t1 | |
| 1674 | adde $acc6,$acc7,$t2 | |
| 1675 | adde $acc7,$carry,$t3 | |
| 1676 | #addze $carry,$zero # moved above | |
| 1677 | bne .Lsqr8x_tail | |
| 1678 | # note that carry flag is guaranteed | |
| 1679 | # to be zero at this point | |
| 1680 | $LD $a0,$SIZE_T*1($tp) | |
| 1681 | $POP $carry,$SIZE_T*10($sp) # pull top-most carry in case we break | |
| 1682 | $UCMP $np_end,$np # done yet? | |
| 1683 | $LD $a1,$SIZE_T*2($tp) | |
| 1684 | sub $t2,$np_end,$num # rewinded np | |
| 1685 | $LD $a2,$SIZE_T*3($tp) | |
| 1686 | $LD $a3,$SIZE_T*4($tp) | |
| 1687 | $LD $a4,$SIZE_T*5($tp) | |
| 1688 | $LD $a5,$SIZE_T*6($tp) | |
| 1689 | $LD $a6,$SIZE_T*7($tp) | |
| 1690 | $LD $a7,$SIZE_T*8($tp) | |
| 1691 | beq .Lsqr8x_tail_break | |
| 1692 | ||
| 1693 | addc $acc0,$acc0,$a0 | |
| 1694 | $LD $a0,$SIZE_T*1($np) | |
| 1695 | adde $acc1,$acc1,$a1 | |
| 1696 | $LD $a1,$SIZE_T*2($np) | |
| 1697 | adde $acc2,$acc2,$a2 | |
| 1698 | $LD $a2,$SIZE_T*3($np) | |
| 1699 | adde $acc3,$acc3,$a3 | |
| 1700 | $LD $a3,$SIZE_T*4($np) | |
| 1701 | adde $acc4,$acc4,$a4 | |
| 1702 | $LD $a4,$SIZE_T*5($np) | |
| 1703 | adde $acc5,$acc5,$a5 | |
| 1704 | $LD $a5,$SIZE_T*6($np) | |
| 1705 | adde $acc6,$acc6,$a6 | |
| 1706 | $LD $a6,$SIZE_T*7($np) | |
| 1707 | adde $acc7,$acc7,$a7 | |
| 1708 | $LDU $a7,$SIZE_T*8($np) | |
| 1709 | #addze $carry,$zero # moved above | |
| 1710 | b .Lsqr8x_tail | |
| 1711 | ||
| 1712 | .align 5 | |
| 1713 | .Lsqr8x_tail_break: | |
| 1714 | $POP $n0,$SIZE_T*8($sp) # pull n0 | |
| 1715 | $POP $t3,$SIZE_T*9($sp) # &tp[2*num-1] | |
| 1716 | addi $cnt,$tp,$SIZE_T*8 # end of current t[num] window | |
| 1717 | ||
| 1718 | addic $carry,$carry,-1 # "move" top-most carry to carry bit | |
| 1719 | adde $t0,$acc0,$a0 | |
| 1720 | $LD $acc0,$SIZE_T*8($rp) | |
| 1721 | $LD $a0,$SIZE_T*1($t2) # recall that $t2 is &n[-1] | |
| 1722 | adde $t1,$acc1,$a1 | |
| 1723 | $LD $acc1,$SIZE_T*9($rp) | |
| 1724 | $LD $a1,$SIZE_T*2($t2) | |
| 1725 | adde $acc2,$acc2,$a2 | |
| 1726 | $LD $a2,$SIZE_T*3($t2) | |
| 1727 | adde $acc3,$acc3,$a3 | |
| 1728 | $LD $a3,$SIZE_T*4($t2) | |
| 1729 | adde $acc4,$acc4,$a4 | |
| 1730 | $LD $a4,$SIZE_T*5($t2) | |
| 1731 | adde $acc5,$acc5,$a5 | |
| 1732 | $LD $a5,$SIZE_T*6($t2) | |
| 1733 | adde $acc6,$acc6,$a6 | |
| 1734 | $LD $a6,$SIZE_T*7($t2) | |
| 1735 | adde $acc7,$acc7,$a7 | |
| 1736 | $LD $a7,$SIZE_T*8($t2) | |
| 1737 | addi $np,$t2,$SIZE_T*8 | |
| 1738 | addze $t2,$zero # top-most carry | |
| 1739 | $UMULL $na0,$n0,$acc0 | |
| 1740 | $ST $t0,$SIZE_T*1($tp) | |
| 1741 | $UCMP $cnt,$t3 # did we hit the bottom? | |
| 1742 | $ST $t1,$SIZE_T*2($tp) | |
| 1743 | li $cnt,8 | |
| 1744 | $ST $acc2,$SIZE_T*3($tp) | |
| 1745 | $LD $acc2,$SIZE_T*10($rp) | |
| 1746 | $ST $acc3,$SIZE_T*4($tp) | |
| 1747 | $LD $acc3,$SIZE_T*11($rp) | |
| 1748 | $ST $acc4,$SIZE_T*5($tp) | |
| 1749 | $LD $acc4,$SIZE_T*12($rp) | |
| 1750 | $ST $acc5,$SIZE_T*6($tp) | |
| 1751 | $LD $acc5,$SIZE_T*13($rp) | |
| 1752 | $ST $acc6,$SIZE_T*7($tp) | |
| 1753 | $LD $acc6,$SIZE_T*14($rp) | |
| 1754 | $ST $acc7,$SIZE_T*8($tp) | |
| 1755 | $LD $acc7,$SIZE_T*15($rp) | |
| 1756 | $PUSH $t2,$SIZE_T*10($sp) # off-load top-most carry | |
| 1757 | addi $tp,$rp,$SIZE_T*7 # slide the window | |
| 1758 | mtctr $cnt | |
| 1759 | bne .Lsqr8x_reduction | |
| 1760 | ||
| 1761 | ################################################################ | |
| 1762 | # Final step. We see if result is larger than modulus, and | |
| 1763 | # if it is, subtract the modulus. But comparison implies | |
| 1764 | # subtraction. So we subtract modulus, see if it borrowed, | |
| 1765 | # and conditionally copy original value. | |
| 1766 | $POP $rp,$SIZE_T*6($sp) # pull &rp[-1] | |
| 1767 | srwi $cnt,$num,`log($SIZE_T)/log(2)+3` | |
| 1768 | mr $n0,$tp # put tp aside | |
| 1769 | addi $tp,$tp,$SIZE_T*8 | |
| 1770 | subi $cnt,$cnt,1 | |
| 1771 | subfc $t0,$a0,$acc0 | |
| 1772 | subfe $t1,$a1,$acc1 | |
| 1773 | mr $carry,$t2 | |
| 1774 | mr $ap_end,$rp # $rp copy | |
| 1775 | ||
| 1776 | mtctr $cnt | |
| 1777 | b .Lsqr8x_sub | |
| 1778 | ||
| 1779 | .align 5 | |
| 1780 | .Lsqr8x_sub: | |
| 1781 | $LD $a0,$SIZE_T*1($np) | |
| 1782 | $LD $acc0,$SIZE_T*1($tp) | |
| 1783 | $LD $a1,$SIZE_T*2($np) | |
| 1784 | $LD $acc1,$SIZE_T*2($tp) | |
| 1785 | subfe $t2,$a2,$acc2 | |
| 1786 | $LD $a2,$SIZE_T*3($np) | |
| 1787 | $LD $acc2,$SIZE_T*3($tp) | |
| 1788 | subfe $t3,$a3,$acc3 | |
| 1789 | $LD $a3,$SIZE_T*4($np) | |
| 1790 | $LD $acc3,$SIZE_T*4($tp) | |
| 1791 | $ST $t0,$SIZE_T*1($rp) | |
| 1792 | subfe $t0,$a4,$acc4 | |
| 1793 | $LD $a4,$SIZE_T*5($np) | |
| 1794 | $LD $acc4,$SIZE_T*5($tp) | |
| 1795 | $ST $t1,$SIZE_T*2($rp) | |
| 1796 | subfe $t1,$a5,$acc5 | |
| 1797 | $LD $a5,$SIZE_T*6($np) | |
| 1798 | $LD $acc5,$SIZE_T*6($tp) | |
| 1799 | $ST $t2,$SIZE_T*3($rp) | |
| 1800 | subfe $t2,$a6,$acc6 | |
| 1801 | $LD $a6,$SIZE_T*7($np) | |
| 1802 | $LD $acc6,$SIZE_T*7($tp) | |
| 1803 | $ST $t3,$SIZE_T*4($rp) | |
| 1804 | subfe $t3,$a7,$acc7 | |
| 1805 | $LDU $a7,$SIZE_T*8($np) | |
| 1806 | $LDU $acc7,$SIZE_T*8($tp) | |
| 1807 | $ST $t0,$SIZE_T*5($rp) | |
| 1808 | subfe $t0,$a0,$acc0 | |
| 1809 | $ST $t1,$SIZE_T*6($rp) | |
| 1810 | subfe $t1,$a1,$acc1 | |
| 1811 | $ST $t2,$SIZE_T*7($rp) | |
| 1812 | $STU $t3,$SIZE_T*8($rp) | |
| 1813 | bdnz .Lsqr8x_sub | |
| 1814 | ||
| 1815 | srwi $cnt,$num,`log($SIZE_T)/log(2)+2` | |
| 1816 | $LD $a0,$SIZE_T*1($ap_end) # original $rp | |
| 1817 | $LD $acc0,$SIZE_T*1($n0) # original $tp | |
| 1818 | subi $cnt,$cnt,1 | |
| 1819 | $LD $a1,$SIZE_T*2($ap_end) | |
| 1820 | $LD $acc1,$SIZE_T*2($n0) | |
| 1821 | subfe $t2,$a2,$acc2 | |
| 1822 | $LD $a2,$SIZE_T*3($ap_end) | |
| 1823 | $LD $acc2,$SIZE_T*3($n0) | |
| 1824 | subfe $t3,$a3,$acc3 | |
| 1825 | $LD $a3,$SIZE_T*4($ap_end) | |
| 1826 | $LDU $acc3,$SIZE_T*4($n0) | |
| 1827 | $ST $t0,$SIZE_T*1($rp) | |
| 1828 | subfe $t0,$a4,$acc4 | |
| 1829 | $ST $t1,$SIZE_T*2($rp) | |
| 1830 | subfe $t1,$a5,$acc5 | |
| 1831 | $ST $t2,$SIZE_T*3($rp) | |
| 1832 | subfe $t2,$a6,$acc6 | |
| 1833 | $ST $t3,$SIZE_T*4($rp) | |
| 1834 | subfe $t3,$a7,$acc7 | |
| 1835 | $ST $t0,$SIZE_T*5($rp) | |
| 1836 | subfe $carry,$zero,$carry # did it borrow? | |
| 1837 | $ST $t1,$SIZE_T*6($rp) | |
| 1838 | $ST $t2,$SIZE_T*7($rp) | |
| 1839 | $ST $t3,$SIZE_T*8($rp) | |
| 1840 | ||
| 1841 | addi $tp,$sp,$SIZE_T*11 | |
| 1842 | mtctr $cnt | |
| 1843 | ||
| 1844 | .Lsqr4x_cond_copy: | |
| 1845 | andc $a0,$a0,$carry | |
| 1846 | $ST $zero,-$SIZE_T*3($n0) # wipe stack clean | |
| 1847 | and $acc0,$acc0,$carry | |
| 1848 | $ST $zero,-$SIZE_T*2($n0) | |
| 1849 | andc $a1,$a1,$carry | |
| 1850 | $ST $zero,-$SIZE_T*1($n0) | |
| 1851 | and $acc1,$acc1,$carry | |
| 1852 | $ST $zero,-$SIZE_T*0($n0) | |
| 1853 | andc $a2,$a2,$carry | |
| 1854 | $ST $zero,$SIZE_T*1($tp) | |
| 1855 | and $acc2,$acc2,$carry | |
| 1856 | $ST $zero,$SIZE_T*2($tp) | |
| 1857 | andc $a3,$a3,$carry | |
| 1858 | $ST $zero,$SIZE_T*3($tp) | |
| 1859 | and $acc3,$acc3,$carry | |
| 1860 | $STU $zero,$SIZE_T*4($tp) | |
| 1861 | or $t0,$a0,$acc0 | |
| 1862 | $LD $a0,$SIZE_T*5($ap_end) | |
| 1863 | $LD $acc0,$SIZE_T*1($n0) | |
| 1864 | or $t1,$a1,$acc1 | |
| 1865 | $LD $a1,$SIZE_T*6($ap_end) | |
| 1866 | $LD $acc1,$SIZE_T*2($n0) | |
| 1867 | or $t2,$a2,$acc2 | |
| 1868 | $LD $a2,$SIZE_T*7($ap_end) | |
| 1869 | $LD $acc2,$SIZE_T*3($n0) | |
| 1870 | or $t3,$a3,$acc3 | |
| 1871 | $LD $a3,$SIZE_T*8($ap_end) | |
| 1872 | $LDU $acc3,$SIZE_T*4($n0) | |
| 1873 | $ST $t0,$SIZE_T*1($ap_end) | |
| 1874 | $ST $t1,$SIZE_T*2($ap_end) | |
| 1875 | $ST $t2,$SIZE_T*3($ap_end) | |
| 1876 | $STU $t3,$SIZE_T*4($ap_end) | |
| 1877 | bdnz .Lsqr4x_cond_copy | |
| 1878 | ||
| 1879 | $POP $ap,0($sp) # pull saved sp | |
| 1880 | andc $a0,$a0,$carry | |
| 1881 | and $acc0,$acc0,$carry | |
| 1882 | andc $a1,$a1,$carry | |
| 1883 | and $acc1,$acc1,$carry | |
| 1884 | andc $a2,$a2,$carry | |
| 1885 | and $acc2,$acc2,$carry | |
| 1886 | andc $a3,$a3,$carry | |
| 1887 | and $acc3,$acc3,$carry | |
| 1888 | or $t0,$a0,$acc0 | |
| 1889 | or $t1,$a1,$acc1 | |
| 1890 | or $t2,$a2,$acc2 | |
| 1891 | or $t3,$a3,$acc3 | |
| 1892 | $ST $t0,$SIZE_T*1($ap_end) | |
| 1893 | $ST $t1,$SIZE_T*2($ap_end) | |
| 1894 | $ST $t2,$SIZE_T*3($ap_end) | |
| 1895 | $ST $t3,$SIZE_T*4($ap_end) | |
| 1896 | ||
| 1897 | b .Lsqr8x_done | |
| 1898 | ||
| 1899 | .align 5 | |
| 1900 | .Lsqr8x8_post_condition: | |
| 1901 | $POP $rp,$SIZE_T*6($sp) # pull rp | |
| 1902 | $POP $ap,0($sp) # pull saved sp | |
| 1903 | addze $carry,$zero | |
| 1904 | ||
| 1905 | # $acc0-7,$carry hold result, $a0-7 hold modulus | |
| 1906 | subfc $acc0,$a0,$acc0 | |
| 1907 | subfe $acc1,$a1,$acc1 | |
| 1908 | $ST $zero,$SIZE_T*12($sp) # wipe stack clean | |
| 1909 | $ST $zero,$SIZE_T*13($sp) | |
| 1910 | subfe $acc2,$a2,$acc2 | |
| 1911 | $ST $zero,$SIZE_T*14($sp) | |
| 1912 | $ST $zero,$SIZE_T*15($sp) | |
| 1913 | subfe $acc3,$a3,$acc3 | |
| 1914 | $ST $zero,$SIZE_T*16($sp) | |
| 1915 | $ST $zero,$SIZE_T*17($sp) | |
| 1916 | subfe $acc4,$a4,$acc4 | |
| 1917 | $ST $zero,$SIZE_T*18($sp) | |
| 1918 | $ST $zero,$SIZE_T*19($sp) | |
| 1919 | subfe $acc5,$a5,$acc5 | |
| 1920 | $ST $zero,$SIZE_T*20($sp) | |
| 1921 | $ST $zero,$SIZE_T*21($sp) | |
| 1922 | subfe $acc6,$a6,$acc6 | |
| 1923 | $ST $zero,$SIZE_T*22($sp) | |
| 1924 | $ST $zero,$SIZE_T*23($sp) | |
| 1925 | subfe $acc7,$a7,$acc7 | |
| 1926 | $ST $zero,$SIZE_T*24($sp) | |
| 1927 | $ST $zero,$SIZE_T*25($sp) | |
| 1928 | subfe $carry,$zero,$carry # did it borrow? | |
| 1929 | $ST $zero,$SIZE_T*26($sp) | |
| 1930 | $ST $zero,$SIZE_T*27($sp) | |
| 1931 | ||
| 1932 | and $a0,$a0,$carry | |
| 1933 | and $a1,$a1,$carry | |
| 1934 | addc $acc0,$acc0,$a0 # add modulus back if borrowed | |
| 1935 | and $a2,$a2,$carry | |
| 1936 | adde $acc1,$acc1,$a1 | |
| 1937 | and $a3,$a3,$carry | |
| 1938 | adde $acc2,$acc2,$a2 | |
| 1939 | and $a4,$a4,$carry | |
| 1940 | adde $acc3,$acc3,$a3 | |
| 1941 | and $a5,$a5,$carry | |
| 1942 | adde $acc4,$acc4,$a4 | |
| 1943 | and $a6,$a6,$carry | |
| 1944 | adde $acc5,$acc5,$a5 | |
| 1945 | and $a7,$a7,$carry | |
| 1946 | adde $acc6,$acc6,$a6 | |
| 1947 | adde $acc7,$acc7,$a7 | |
| 1948 | $ST $acc0,$SIZE_T*1($rp) | |
| 1949 | $ST $acc1,$SIZE_T*2($rp) | |
| 1950 | $ST $acc2,$SIZE_T*3($rp) | |
| 1951 | $ST $acc3,$SIZE_T*4($rp) | |
| 1952 | $ST $acc4,$SIZE_T*5($rp) | |
| 1953 | $ST $acc5,$SIZE_T*6($rp) | |
| 1954 | $ST $acc6,$SIZE_T*7($rp) | |
| 1955 | $ST $acc7,$SIZE_T*8($rp) | |
| 1956 | ||
| 1957 | .Lsqr8x_done: | |
| 1958 | $PUSH $zero,$SIZE_T*8($sp) | |
| 1959 | $PUSH $zero,$SIZE_T*10($sp) | |
| 1960 | ||
| 1961 | $POP r14,-$SIZE_T*18($ap) | |
| 1962 | li r3,1 # signal "done" | |
| 1963 | $POP r15,-$SIZE_T*17($ap) | |
| 1964 | $POP r16,-$SIZE_T*16($ap) | |
| 1965 | $POP r17,-$SIZE_T*15($ap) | |
| 1966 | $POP r18,-$SIZE_T*14($ap) | |
| 1967 | $POP r19,-$SIZE_T*13($ap) | |
| 1968 | $POP r20,-$SIZE_T*12($ap) | |
| 1969 | $POP r21,-$SIZE_T*11($ap) | |
| 1970 | $POP r22,-$SIZE_T*10($ap) | |
| 1971 | $POP r23,-$SIZE_T*9($ap) | |
| 1972 | $POP r24,-$SIZE_T*8($ap) | |
| 1973 | $POP r25,-$SIZE_T*7($ap) | |
| 1974 | $POP r26,-$SIZE_T*6($ap) | |
| 1975 | $POP r27,-$SIZE_T*5($ap) | |
| 1976 | $POP r28,-$SIZE_T*4($ap) | |
| 1977 | $POP r29,-$SIZE_T*3($ap) | |
| 1978 | $POP r30,-$SIZE_T*2($ap) | |
| 1979 | $POP r31,-$SIZE_T*1($ap) | |
| 1980 | mr $sp,$ap | |
| 1981 | blr | |
| 1982 | .long 0 | |
| 1983 | .byte 0,12,4,0x20,0x80,18,6,0 | |
| 1984 | .long 0 | |
| 1985 | .size __bn_sqr8x_mont,.-__bn_sqr8x_mont | |
| 1986 | ___ | |
| 1987 | } | |
| 0310becc | 1988 | $code.=<<___; |
| 67150340 | 1989 | .asciz "Montgomery Multiplication for PPC, CRYPTOGAMS by <appro\@openssl.org>" |
| 2c5d4daa AP |
1990 | ___ |
| 1991 | ||
| 1992 | $code =~ s/\`([^\`]*)\`/eval $1/gem; | |
| 1993 | print $code; | |
| a21314db | 1994 | close STDOUT or die "error closing STDOUT: $!"; |