crypto/bn/asm/ppc.pl

   1 #!/usr/bin/env perl
   2 #
   3 # Implemented as a Perl wrapper as we want to support several different
   4 # architectures with single file. We pick up the target based on the
   5 # file name we are asked to generate.
   6 #
   7 # It should be noted though that this perl code is nothing like
   8 # <openssl>/crypto/perlasm/x86*. In this case perl is used pretty much
   9 # as pre-processor to cover for platform differences in name decoration,
  10 # linker tables, 32-/64-bit instruction sets...
  11 #
  12 # As you might know there're several PowerPC ABI in use. Most notably
  13 # Linux and AIX use different 32-bit ABIs. Good news are that these ABIs
  14 # are similar enough to implement leaf(!) functions, which would be ABI
  15 # neutral. And that's what you find here: ABI neutral leaf functions.
  16 # In case you wonder what that is...
  17 #
  18 #       AIX performance
  19 #
  20 #       MEASUREMENTS WITH cc ON a 200 MhZ PowerPC 604e.
  21 #
  22 #       The following is the performance of 32-bit compiler
  23 #       generated code:
  24 #
  25 #       OpenSSL 0.9.6c 21 dec 2001
  26 #       built on: Tue Jun 11 11:06:51 EDT 2002
  27 #       options:bn(64,32) ...
  28 #compiler: cc -DTHREADS  -DAIX -DB_ENDIAN -DBN_LLONG -O3
  29 #                  sign    verify    sign/s verify/s
  30 #rsa  512 bits   0.0098s   0.0009s    102.0   1170.6
  31 #rsa 1024 bits   0.0507s   0.0026s     19.7    387.5
  32 #rsa 2048 bits   0.3036s   0.0085s      3.3    117.1
  33 #rsa 4096 bits   2.0040s   0.0299s      0.5     33.4
  34 #dsa  512 bits   0.0087s   0.0106s    114.3     94.5
  35 #dsa 1024 bits   0.0256s   0.0313s     39.0     32.0
  36 #
  37 #       Same bechmark with this assembler code:
  38 #
  39 #rsa  512 bits   0.0056s   0.0005s    178.6   2049.2
  40 #rsa 1024 bits   0.0283s   0.0015s     35.3    674.1
  41 #rsa 2048 bits   0.1744s   0.0050s      5.7    201.2
  42 #rsa 4096 bits   1.1644s   0.0179s      0.9     55.7
  43 #dsa  512 bits   0.0052s   0.0062s    191.6    162.0
  44 #dsa 1024 bits   0.0149s   0.0180s     67.0     55.5
  45 #
  46 #       Number of operations increases by at almost 75%
  47 #
  48 #       Here are performance numbers for 64-bit compiler
  49 #       generated code:
  50 #
  51 #       OpenSSL 0.9.6g [engine] 9 Aug 2002
  52 #       built on: Fri Apr 18 16:59:20 EDT 2003
  53 #       options:bn(64,64) ...
  54 #       compiler: cc -DTHREADS -D_REENTRANT -q64 -DB_ENDIAN -O3
  55 #                  sign    verify    sign/s verify/s
  56 #rsa  512 bits   0.0028s   0.0003s    357.1   3844.4
  57 #rsa 1024 bits   0.0148s   0.0008s     67.5   1239.7
  58 #rsa 2048 bits   0.0963s   0.0028s     10.4    353.0
  59 #rsa 4096 bits   0.6538s   0.0102s      1.5     98.1
  60 #dsa  512 bits   0.0026s   0.0032s    382.5    313.7
  61 #dsa 1024 bits   0.0081s   0.0099s    122.8    100.6
  62 #
  63 #       Same benchmark with this assembler code:
  64 #
  65 #rsa  512 bits   0.0020s   0.0002s    510.4   6273.7
  66 #rsa 1024 bits   0.0088s   0.0005s    114.1   2128.3
  67 #rsa 2048 bits   0.0540s   0.0016s     18.5    622.5
  68 #rsa 4096 bits   0.3700s   0.0058s      2.7    171.0
  69 #dsa  512 bits   0.0016s   0.0020s    610.7    507.1
  70 #dsa 1024 bits   0.0047s   0.0058s    212.5    173.2
  71 #
  72 #       Again, performance increases by at about 75%
  73 #
  74 #       Mac OS X, Apple G5 1.8GHz (Note this is 32 bit code)
  75 #       OpenSSL 0.9.7c 30 Sep 2003
  76 #
  77 #       Original code.
  78 #
  79 #rsa  512 bits   0.0011s   0.0001s    906.1  11012.5
  80 #rsa 1024 bits   0.0060s   0.0003s    166.6   3363.1
  81 #rsa 2048 bits   0.0370s   0.0010s     27.1    982.4
  82 #rsa 4096 bits   0.2426s   0.0036s      4.1    280.4
  83 #dsa  512 bits   0.0010s   0.0012s   1038.1    841.5
  84 #dsa 1024 bits   0.0030s   0.0037s    329.6    269.7
  85 #dsa 2048 bits   0.0101s   0.0127s     98.9     78.6
  86 #
  87 #       Same benchmark with this assembler code:
  88 #
  89 #rsa  512 bits   0.0007s   0.0001s   1416.2  16645.9
  90 #rsa 1024 bits   0.0036s   0.0002s    274.4   5380.6
  91 #rsa 2048 bits   0.0222s   0.0006s     45.1   1589.5
  92 #rsa 4096 bits   0.1469s   0.0022s      6.8    449.6
  93 #dsa  512 bits   0.0006s   0.0007s   1664.2   1376.2
  94 #dsa 1024 bits   0.0018s   0.0023s    545.0    442.2
  95 #dsa 2048 bits   0.0061s   0.0075s    163.5    132.8
  96 #
  97 #        Performance increase of ~60%
  98 #
  99 #       If you have comments or suggestions to improve code send
 100 #       me a note at schari@us.ibm.com
 101 #
 102
 103 $flavour = shift;
 104
 105 if ($flavour =~ /32/) {
 106         $BITS=  32;
 107         $BNSZ=  $BITS/8;
 108         $ISA=   "\"ppc\"";
 109
 110         $LD=    "lwz";          # load
 111         $LDU=   "lwzu";         # load and update
 112         $ST=    "stw";          # store
 113         $STU=   "stwu";         # store and update
 114         $UMULL= "mullw";        # unsigned multiply low
 115         $UMULH= "mulhwu";       # unsigned multiply high
 116         $UDIV=  "divwu";        # unsigned divide
 117         $UCMPI= "cmplwi";       # unsigned compare with immediate
 118         $UCMP=  "cmplw";        # unsigned compare
 119         $CNTLZ= "cntlzw";       # count leading zeros
 120         $SHL=   "slw";          # shift left
 121         $SHR=   "srw";          # unsigned shift right
 122         $SHRI=  "srwi";         # unsigned shift right by immediate
 123         $SHLI=  "slwi";         # shift left by immediate
 124         $CLRU=  "clrlwi";       # clear upper bits
 125         $INSR=  "insrwi";       # insert right
 126         $ROTL=  "rotlwi";       # rotate left by immediate
 127         $TR=    "tw";           # conditional trap
 128 } elsif ($flavour =~ /64/) {
 129         $BITS=  64;
 130         $BNSZ=  $BITS/8;
 131         $ISA=   "\"ppc64\"";
 132
 133         # same as above, but 64-bit mnemonics...
 134         $LD=    "ld";           # load
 135         $LDU=   "ldu";          # load and update
 136         $ST=    "std";          # store
 137         $STU=   "stdu";         # store and update
 138         $UMULL= "mulld";        # unsigned multiply low
 139         $UMULH= "mulhdu";       # unsigned multiply high
 140         $UDIV=  "divdu";        # unsigned divide
 141         $UCMPI= "cmpldi";       # unsigned compare with immediate
 142         $UCMP=  "cmpld";        # unsigned compare
 143         $CNTLZ= "cntlzd";       # count leading zeros
 144         $SHL=   "sld";          # shift left
 145         $SHR=   "srd";          # unsigned shift right
 146         $SHRI=  "srdi";         # unsigned shift right by immediate
 147         $SHLI=  "sldi";         # shift left by immediate
 148         $CLRU=  "clrldi";       # clear upper bits
 149         $INSR=  "insrdi";       # insert right
 150         $ROTL=  "rotldi";       # rotate left by immediate
 151         $TR=    "td";           # conditional trap
 152 } else { die "nonsense $flavour"; }
 153
 154 $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
 155 ( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
 156 ( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
 157 die "can't locate ppc-xlate.pl";
 158
 159 open STDOUT,"| $^X $xlate $flavour ".shift || die "can't call $xlate: $!";
 160
 161 $data=<<EOF;
 162 #--------------------------------------------------------------------
 163 #
 164 #
 165 #
 166 #
 167 #       File:           ppc32.s
 168 #
 169 #       Created by:     Suresh Chari
 170 #                       IBM Thomas J. Watson Research Library
 171 #                       Hawthorne, NY
 172 #
 173 #
 174 #       Description:    Optimized assembly routines for OpenSSL crypto
 175 #                       on the 32 bitPowerPC platform.
 176 #
 177 #
 178 #       Version History
 179 #
 180 #       2. Fixed bn_add,bn_sub and bn_div_words, added comments,
 181 #          cleaned up code. Also made a single version which can
 182 #          be used for both the AIX and Linux compilers. See NOTE
 183 #          below.
 184 #                               12/05/03                Suresh Chari
 185 #                       (with lots of help from)        Andy Polyakov
 186 ##
 187 #       1. Initial version      10/20/02                Suresh Chari
 188 #
 189 #
 190 #       The following file works for the xlc,cc
 191 #       and gcc compilers.
 192 #
 193 #       NOTE:   To get the file to link correctly with the gcc compiler
 194 #               you have to change the names of the routines and remove
 195 #               the first .(dot) character. This should automatically
 196 #               be done in the build process.
 197 #
 198 #       Hand optimized assembly code for the following routines
 199 #
 200 #       bn_sqr_comba4
 201 #       bn_sqr_comba8
 202 #       bn_mul_comba4
 203 #       bn_mul_comba8
 204 #       bn_sub_words
 205 #       bn_add_words
 206 #       bn_div_words
 207 #       bn_sqr_words
 208 #       bn_mul_words
 209 #       bn_mul_add_words
 210 #
 211 #       NOTE:   It is possible to optimize this code more for
 212 #       specific PowerPC or Power architectures. On the Northstar
 213 #       architecture the optimizations in this file do
 214 #        NOT provide much improvement.
 215 #
 216 #       If you have comments or suggestions to improve code send
 217 #       me a note at schari\@us.ibm.com
 218 #
 219 #--------------------------------------------------------------------------
 220 #
 221 #       Defines to be used in the assembly code.
 222 #
 223 #.set r0,0      # we use it as storage for value of 0
 224 #.set SP,1      # preserved
 225 #.set RTOC,2    # preserved
 226 #.set r3,3      # 1st argument/return value
 227 #.set r4,4      # 2nd argument/volatile register
 228 #.set r5,5      # 3rd argument/volatile register
 229 #.set r6,6      # ...
 230 #.set r7,7
 231 #.set r8,8
 232 #.set r9,9
 233 #.set r10,10
 234 #.set r11,11
 235 #.set r12,12
 236 #.set r13,13    # not used, nor any other "below" it...
 237
 238 #       Declare function names to be global
 239 #       NOTE:   For gcc these names MUST be changed to remove
 240 #               the first . i.e. for example change ".bn_sqr_comba4"
 241 #               to "bn_sqr_comba4". This should be automatically done
 242 #               in the build.
 243
 244         .globl  .bn_sqr_comba4
 245         .globl  .bn_sqr_comba8
 246         .globl  .bn_mul_comba4
 247         .globl  .bn_mul_comba8
 248         .globl  .bn_sub_words
 249         .globl  .bn_add_words
 250         .globl  .bn_div_words
 251         .globl  .bn_sqr_words
 252         .globl  .bn_mul_words
 253         .globl  .bn_mul_add_words
 254
 255 # .text section
 256
 257         .machine        $ISA
 258
 259 #
 260 #       NOTE:   The following label name should be changed to
 261 #               "bn_sqr_comba4" i.e. remove the first dot
 262 #               for the gcc compiler. This should be automatically
 263 #               done in the build
 264 #
 265
 266 .align  4
 267 .bn_sqr_comba4:
 268 #
 269 # Optimized version of bn_sqr_comba4.
 270 #
 271 # void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
 272 # r3 contains r
 273 # r4 contains a
 274 #
 275 # Freely use registers r5,r6,r7,r8,r9,r10,r11 as follows:
 276 #
 277 # r5,r6 are the two BN_ULONGs being multiplied.
 278 # r7,r8 are the results of the 32x32 giving 64 bit multiply.
 279 # r9,r10, r11 are the equivalents of c1,c2, c3.
 280 # Here's the assembly
 281 #
 282 #
 283         xor             r0,r0,r0                # set r0 = 0. Used in the addze
 284                                                 # instructions below
 285
 286                                                 #sqr_add_c(a,0,c1,c2,c3)
 287         $LD             r5,`0*$BNSZ`(r4)
 288         $UMULL          r9,r5,r5
 289         $UMULH          r10,r5,r5               #in first iteration. No need
 290                                                 #to add since c1=c2=c3=0.
 291                                                 # Note c3(r11) is NOT set to 0
 292                                                 # but will be.
 293
 294         $ST             r9,`0*$BNSZ`(r3)        # r[0]=c1;
 295                                                 # sqr_add_c2(a,1,0,c2,c3,c1);
 296         $LD             r6,`1*$BNSZ`(r4)
 297         $UMULL          r7,r5,r6
 298         $UMULH          r8,r5,r6
 299
 300         addc            r7,r7,r7                # compute (r7,r8)=2*(r7,r8)
 301         adde            r8,r8,r8
 302         addze           r9,r0                   # catch carry if any.
 303                                                 # r9= r0(=0) and carry
 304
 305         addc            r10,r7,r10              # now add to temp result.
 306         addze           r11,r8                  # r8 added to r11 which is 0
 307         addze           r9,r9
 308
 309         $ST             r10,`1*$BNSZ`(r3)       #r[1]=c2;
 310                                                 #sqr_add_c(a,1,c3,c1,c2)
 311         $UMULL          r7,r6,r6
 312         $UMULH          r8,r6,r6
 313         addc            r11,r7,r11
 314         adde            r9,r8,r9
 315         addze           r10,r0
 316                                                 #sqr_add_c2(a,2,0,c3,c1,c2)
 317         $LD             r6,`2*$BNSZ`(r4)
 318         $UMULL          r7,r5,r6
 319         $UMULH          r8,r5,r6
 320
 321         addc            r7,r7,r7
 322         adde            r8,r8,r8
 323         addze           r10,r10
 324
 325         addc            r11,r7,r11
 326         adde            r9,r8,r9
 327         addze           r10,r10
 328         $ST             r11,`2*$BNSZ`(r3)       #r[2]=c3
 329                                                 #sqr_add_c2(a,3,0,c1,c2,c3);
 330         $LD             r6,`3*$BNSZ`(r4)
 331         $UMULL          r7,r5,r6
 332         $UMULH          r8,r5,r6
 333         addc            r7,r7,r7
 334         adde            r8,r8,r8
 335         addze           r11,r0
 336
 337         addc            r9,r7,r9
 338         adde            r10,r8,r10
 339         addze           r11,r11
 340                                                 #sqr_add_c2(a,2,1,c1,c2,c3);
 341         $LD             r5,`1*$BNSZ`(r4)
 342         $LD             r6,`2*$BNSZ`(r4)
 343         $UMULL          r7,r5,r6
 344         $UMULH          r8,r5,r6
 345
 346         addc            r7,r7,r7
 347         adde            r8,r8,r8
 348         addze           r11,r11
 349         addc            r9,r7,r9
 350         adde            r10,r8,r10
 351         addze           r11,r11
 352         $ST             r9,`3*$BNSZ`(r3)        #r[3]=c1
 353                                                 #sqr_add_c(a,2,c2,c3,c1);
 354         $UMULL          r7,r6,r6
 355         $UMULH          r8,r6,r6
 356         addc            r10,r7,r10
 357         adde            r11,r8,r11
 358         addze           r9,r0
 359                                                 #sqr_add_c2(a,3,1,c2,c3,c1);
 360         $LD             r6,`3*$BNSZ`(r4)
 361         $UMULL          r7,r5,r6
 362         $UMULH          r8,r5,r6
 363         addc            r7,r7,r7
 364         adde            r8,r8,r8
 365         addze           r9,r9
 366
 367         addc            r10,r7,r10
 368         adde            r11,r8,r11
 369         addze           r9,r9
 370         $ST             r10,`4*$BNSZ`(r3)       #r[4]=c2
 371                                                 #sqr_add_c2(a,3,2,c3,c1,c2);
 372         $LD             r5,`2*$BNSZ`(r4)
 373         $UMULL          r7,r5,r6
 374         $UMULH          r8,r5,r6
 375         addc            r7,r7,r7
 376         adde            r8,r8,r8
 377         addze           r10,r0
 378
 379         addc            r11,r7,r11
 380         adde            r9,r8,r9
 381         addze           r10,r10
 382         $ST             r11,`5*$BNSZ`(r3)       #r[5] = c3
 383                                                 #sqr_add_c(a,3,c1,c2,c3);
 384         $UMULL          r7,r6,r6
 385         $UMULH          r8,r6,r6
 386         addc            r9,r7,r9
 387         adde            r10,r8,r10
 388
 389         $ST             r9,`6*$BNSZ`(r3)        #r[6]=c1
 390         $ST             r10,`7*$BNSZ`(r3)       #r[7]=c2
 391         blr
 392         .long   0x00000000
 393
 394 #
 395 #       NOTE:   The following label name should be changed to
 396 #               "bn_sqr_comba8" i.e. remove the first dot
 397 #               for the gcc compiler. This should be automatically
 398 #               done in the build
 399 #
 400
 401 .align  4
 402 .bn_sqr_comba8:
 403 #
 404 # This is an optimized version of the bn_sqr_comba8 routine.
 405 # Tightly uses the adde instruction
 406 #
 407 #
 408 # void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
 409 # r3 contains r
 410 # r4 contains a
 411 #
 412 # Freely use registers r5,r6,r7,r8,r9,r10,r11 as follows:
 413 #
 414 # r5,r6 are the two BN_ULONGs being multiplied.
 415 # r7,r8 are the results of the 32x32 giving 64 bit multiply.
 416 # r9,r10, r11 are the equivalents of c1,c2, c3.
 417 #
 418 # Possible optimization of loading all 8 longs of a into registers
 419 # doesnt provide any speedup
 420 #
 421
 422         xor             r0,r0,r0                #set r0 = 0.Used in addze
 423                                                 #instructions below.
 424
 425                                                 #sqr_add_c(a,0,c1,c2,c3);
 426         $LD             r5,`0*$BNSZ`(r4)
 427         $UMULL          r9,r5,r5                #1st iteration: no carries.
 428         $UMULH          r10,r5,r5
 429         $ST             r9,`0*$BNSZ`(r3)        # r[0]=c1;
 430                                                 #sqr_add_c2(a,1,0,c2,c3,c1);
 431         $LD             r6,`1*$BNSZ`(r4)
 432         $UMULL          r7,r5,r6
 433         $UMULH          r8,r5,r6
 434
 435         addc            r10,r7,r10              #add the two register number
 436         adde            r11,r8,r0               # (r8,r7) to the three register
 437         addze           r9,r0                   # number (r9,r11,r10).NOTE:r0=0
 438
 439         addc            r10,r7,r10              #add the two register number
 440         adde            r11,r8,r11              # (r8,r7) to the three register
 441         addze           r9,r9                   # number (r9,r11,r10).
 442
 443         $ST             r10,`1*$BNSZ`(r3)       # r[1]=c2
 444
 445                                                 #sqr_add_c(a,1,c3,c1,c2);
 446         $UMULL          r7,r6,r6
 447         $UMULH          r8,r6,r6
 448         addc            r11,r7,r11
 449         adde            r9,r8,r9
 450         addze           r10,r0
 451                                                 #sqr_add_c2(a,2,0,c3,c1,c2);
 452         $LD             r6,`2*$BNSZ`(r4)
 453         $UMULL          r7,r5,r6
 454         $UMULH          r8,r5,r6
 455
 456         addc            r11,r7,r11
 457         adde            r9,r8,r9
 458         addze           r10,r10
 459
 460         addc            r11,r7,r11
 461         adde            r9,r8,r9
 462         addze           r10,r10
 463
 464         $ST             r11,`2*$BNSZ`(r3)       #r[2]=c3
 465                                                 #sqr_add_c2(a,3,0,c1,c2,c3);
 466         $LD             r6,`3*$BNSZ`(r4)        #r6 = a[3]. r5 is already a[0].
 467         $UMULL          r7,r5,r6
 468         $UMULH          r8,r5,r6
 469
 470         addc            r9,r7,r9
 471         adde            r10,r8,r10
 472         addze           r11,r0
 473
 474         addc            r9,r7,r9
 475         adde            r10,r8,r10
 476         addze           r11,r11
 477                                                 #sqr_add_c2(a,2,1,c1,c2,c3);
 478         $LD             r5,`1*$BNSZ`(r4)
 479         $LD             r6,`2*$BNSZ`(r4)
 480         $UMULL          r7,r5,r6
 481         $UMULH          r8,r5,r6
 482
 483         addc            r9,r7,r9
 484         adde            r10,r8,r10
 485         addze           r11,r11
 486
 487         addc            r9,r7,r9
 488         adde            r10,r8,r10
 489         addze           r11,r11
 490
 491         $ST             r9,`3*$BNSZ`(r3)        #r[3]=c1;
 492                                                 #sqr_add_c(a,2,c2,c3,c1);
 493         $UMULL          r7,r6,r6
 494         $UMULH          r8,r6,r6
 495
 496         addc            r10,r7,r10
 497         adde            r11,r8,r11
 498         addze           r9,r0
 499                                                 #sqr_add_c2(a,3,1,c2,c3,c1);
 500         $LD             r6,`3*$BNSZ`(r4)
 501         $UMULL          r7,r5,r6
 502         $UMULH          r8,r5,r6
 503
 504         addc            r10,r7,r10
 505         adde            r11,r8,r11
 506         addze           r9,r9
 507
 508         addc            r10,r7,r10
 509         adde            r11,r8,r11
 510         addze           r9,r9
 511                                                 #sqr_add_c2(a,4,0,c2,c3,c1);
 512         $LD             r5,`0*$BNSZ`(r4)
 513         $LD             r6,`4*$BNSZ`(r4)
 514         $UMULL          r7,r5,r6
 515         $UMULH          r8,r5,r6
 516
 517         addc            r10,r7,r10
 518         adde            r11,r8,r11
 519         addze           r9,r9
 520
 521         addc            r10,r7,r10
 522         adde            r11,r8,r11
 523         addze           r9,r9
 524         $ST             r10,`4*$BNSZ`(r3)       #r[4]=c2;
 525                                                 #sqr_add_c2(a,5,0,c3,c1,c2);
 526         $LD             r6,`5*$BNSZ`(r4)
 527         $UMULL          r7,r5,r6
 528         $UMULH          r8,r5,r6
 529
 530         addc            r11,r7,r11
 531         adde            r9,r8,r9
 532         addze           r10,r0
 533
 534         addc            r11,r7,r11
 535         adde            r9,r8,r9
 536         addze           r10,r10
 537                                                 #sqr_add_c2(a,4,1,c3,c1,c2);
 538         $LD             r5,`1*$BNSZ`(r4)
 539         $LD             r6,`4*$BNSZ`(r4)
 540         $UMULL          r7,r5,r6
 541         $UMULH          r8,r5,r6
 542
 543         addc            r11,r7,r11
 544         adde            r9,r8,r9
 545         addze           r10,r10
 546
 547         addc            r11,r7,r11
 548         adde            r9,r8,r9
 549         addze           r10,r10
 550                                                 #sqr_add_c2(a,3,2,c3,c1,c2);
 551         $LD             r5,`2*$BNSZ`(r4)
 552         $LD             r6,`3*$BNSZ`(r4)
 553         $UMULL          r7,r5,r6
 554         $UMULH          r8,r5,r6
 555
 556         addc            r11,r7,r11
 557         adde            r9,r8,r9
 558         addze           r10,r10
 559
 560         addc            r11,r7,r11
 561         adde            r9,r8,r9
 562         addze           r10,r10
 563         $ST             r11,`5*$BNSZ`(r3)       #r[5]=c3;
 564                                                 #sqr_add_c(a,3,c1,c2,c3);
 565         $UMULL          r7,r6,r6
 566         $UMULH          r8,r6,r6
 567         addc            r9,r7,r9
 568         adde            r10,r8,r10
 569         addze           r11,r0
 570                                                 #sqr_add_c2(a,4,2,c1,c2,c3);
 571         $LD             r6,`4*$BNSZ`(r4)
 572         $UMULL          r7,r5,r6
 573         $UMULH          r8,r5,r6
 574
 575         addc            r9,r7,r9
 576         adde            r10,r8,r10
 577         addze           r11,r11
 578
 579         addc            r9,r7,r9
 580         adde            r10,r8,r10
 581         addze           r11,r11
 582                                                 #sqr_add_c2(a,5,1,c1,c2,c3);
 583         $LD             r5,`1*$BNSZ`(r4)
 584         $LD             r6,`5*$BNSZ`(r4)
 585         $UMULL          r7,r5,r6
 586         $UMULH          r8,r5,r6
 587
 588         addc            r9,r7,r9
 589         adde            r10,r8,r10
 590         addze           r11,r11
 591
 592         addc            r9,r7,r9
 593         adde            r10,r8,r10
 594         addze           r11,r11
 595                                                 #sqr_add_c2(a,6,0,c1,c2,c3);
 596         $LD             r5,`0*$BNSZ`(r4)
 597         $LD             r6,`6*$BNSZ`(r4)
 598         $UMULL          r7,r5,r6
 599         $UMULH          r8,r5,r6
 600         addc            r9,r7,r9
 601         adde            r10,r8,r10
 602         addze           r11,r11
 603         addc            r9,r7,r9
 604         adde            r10,r8,r10
 605         addze           r11,r11
 606         $ST             r9,`6*$BNSZ`(r3)        #r[6]=c1;
 607                                                 #sqr_add_c2(a,7,0,c2,c3,c1);
 608         $LD             r6,`7*$BNSZ`(r4)
 609         $UMULL          r7,r5,r6
 610         $UMULH          r8,r5,r6
 611
 612         addc            r10,r7,r10
 613         adde            r11,r8,r11
 614         addze           r9,r0
 615         addc            r10,r7,r10
 616         adde            r11,r8,r11
 617         addze           r9,r9
 618                                                 #sqr_add_c2(a,6,1,c2,c3,c1);
 619         $LD             r5,`1*$BNSZ`(r4)
 620         $LD             r6,`6*$BNSZ`(r4)
 621         $UMULL          r7,r5,r6
 622         $UMULH          r8,r5,r6
 623
 624         addc            r10,r7,r10
 625         adde            r11,r8,r11
 626         addze           r9,r9
 627         addc            r10,r7,r10
 628         adde            r11,r8,r11
 629         addze           r9,r9
 630                                                 #sqr_add_c2(a,5,2,c2,c3,c1);
 631         $LD             r5,`2*$BNSZ`(r4)
 632         $LD             r6,`5*$BNSZ`(r4)
 633         $UMULL          r7,r5,r6
 634         $UMULH          r8,r5,r6
 635         addc            r10,r7,r10
 636         adde            r11,r8,r11
 637         addze           r9,r9
 638         addc            r10,r7,r10
 639         adde            r11,r8,r11
 640         addze           r9,r9
 641                                                 #sqr_add_c2(a,4,3,c2,c3,c1);
 642         $LD             r5,`3*$BNSZ`(r4)
 643         $LD             r6,`4*$BNSZ`(r4)
 644         $UMULL          r7,r5,r6
 645         $UMULH          r8,r5,r6
 646
 647         addc            r10,r7,r10
 648         adde            r11,r8,r11
 649         addze           r9,r9
 650         addc            r10,r7,r10
 651         adde            r11,r8,r11
 652         addze           r9,r9
 653         $ST             r10,`7*$BNSZ`(r3)       #r[7]=c2;
 654                                                 #sqr_add_c(a,4,c3,c1,c2);
 655         $UMULL          r7,r6,r6
 656         $UMULH          r8,r6,r6
 657         addc            r11,r7,r11
 658         adde            r9,r8,r9
 659         addze           r10,r0
 660                                                 #sqr_add_c2(a,5,3,c3,c1,c2);
 661         $LD             r6,`5*$BNSZ`(r4)
 662         $UMULL          r7,r5,r6
 663         $UMULH          r8,r5,r6
 664         addc            r11,r7,r11
 665         adde            r9,r8,r9
 666         addze           r10,r10
 667         addc            r11,r7,r11
 668         adde            r9,r8,r9
 669         addze           r10,r10
 670                                                 #sqr_add_c2(a,6,2,c3,c1,c2);
 671         $LD             r5,`2*$BNSZ`(r4)
 672         $LD             r6,`6*$BNSZ`(r4)
 673         $UMULL          r7,r5,r6
 674         $UMULH          r8,r5,r6
 675         addc            r11,r7,r11
 676         adde            r9,r8,r9
 677         addze           r10,r10
 678
 679         addc            r11,r7,r11
 680         adde            r9,r8,r9
 681         addze           r10,r10
 682                                                 #sqr_add_c2(a,7,1,c3,c1,c2);
 683         $LD             r5,`1*$BNSZ`(r4)
 684         $LD             r6,`7*$BNSZ`(r4)
 685         $UMULL          r7,r5,r6
 686         $UMULH          r8,r5,r6
 687         addc            r11,r7,r11
 688         adde            r9,r8,r9
 689         addze           r10,r10
 690         addc            r11,r7,r11
 691         adde            r9,r8,r9
 692         addze           r10,r10
 693         $ST             r11,`8*$BNSZ`(r3)       #r[8]=c3;
 694                                                 #sqr_add_c2(a,7,2,c1,c2,c3);
 695         $LD             r5,`2*$BNSZ`(r4)
 696         $UMULL          r7,r5,r6
 697         $UMULH          r8,r5,r6
 698
 699         addc            r9,r7,r9
 700         adde            r10,r8,r10
 701         addze           r11,r0
 702         addc            r9,r7,r9
 703         adde            r10,r8,r10
 704         addze           r11,r11
 705                                                 #sqr_add_c2(a,6,3,c1,c2,c3);
 706         $LD             r5,`3*$BNSZ`(r4)
 707         $LD             r6,`6*$BNSZ`(r4)
 708         $UMULL          r7,r5,r6
 709         $UMULH          r8,r5,r6
 710         addc            r9,r7,r9
 711         adde            r10,r8,r10
 712         addze           r11,r11
 713         addc            r9,r7,r9
 714         adde            r10,r8,r10
 715         addze           r11,r11
 716                                                 #sqr_add_c2(a,5,4,c1,c2,c3);
 717         $LD             r5,`4*$BNSZ`(r4)
 718         $LD             r6,`5*$BNSZ`(r4)
 719         $UMULL          r7,r5,r6
 720         $UMULH          r8,r5,r6
 721         addc            r9,r7,r9
 722         adde            r10,r8,r10
 723         addze           r11,r11
 724         addc            r9,r7,r9
 725         adde            r10,r8,r10
 726         addze           r11,r11
 727         $ST             r9,`9*$BNSZ`(r3)        #r[9]=c1;
 728                                                 #sqr_add_c(a,5,c2,c3,c1);
 729         $UMULL          r7,r6,r6
 730         $UMULH          r8,r6,r6
 731         addc            r10,r7,r10
 732         adde            r11,r8,r11
 733         addze           r9,r0
 734                                                 #sqr_add_c2(a,6,4,c2,c3,c1);
 735         $LD             r6,`6*$BNSZ`(r4)
 736         $UMULL          r7,r5,r6
 737         $UMULH          r8,r5,r6
 738         addc            r10,r7,r10
 739         adde            r11,r8,r11
 740         addze           r9,r9
 741         addc            r10,r7,r10
 742         adde            r11,r8,r11
 743         addze           r9,r9
 744                                                 #sqr_add_c2(a,7,3,c2,c3,c1);
 745         $LD             r5,`3*$BNSZ`(r4)
 746         $LD             r6,`7*$BNSZ`(r4)
 747         $UMULL          r7,r5,r6
 748         $UMULH          r8,r5,r6
 749         addc            r10,r7,r10
 750         adde            r11,r8,r11
 751         addze           r9,r9
 752         addc            r10,r7,r10
 753         adde            r11,r8,r11
 754         addze           r9,r9
 755         $ST             r10,`10*$BNSZ`(r3)      #r[10]=c2;
 756                                                 #sqr_add_c2(a,7,4,c3,c1,c2);
 757         $LD             r5,`4*$BNSZ`(r4)
 758         $UMULL          r7,r5,r6
 759         $UMULH          r8,r5,r6
 760         addc            r11,r7,r11
 761         adde            r9,r8,r9
 762         addze           r10,r0
 763         addc            r11,r7,r11
 764         adde            r9,r8,r9
 765         addze           r10,r10
 766                                                 #sqr_add_c2(a,6,5,c3,c1,c2);
 767         $LD             r5,`5*$BNSZ`(r4)
 768         $LD             r6,`6*$BNSZ`(r4)
 769         $UMULL          r7,r5,r6
 770         $UMULH          r8,r5,r6
 771         addc            r11,r7,r11
 772         adde            r9,r8,r9
 773         addze           r10,r10
 774         addc            r11,r7,r11
 775         adde            r9,r8,r9
 776         addze           r10,r10
 777         $ST             r11,`11*$BNSZ`(r3)      #r[11]=c3;
 778                                                 #sqr_add_c(a,6,c1,c2,c3);
 779         $UMULL          r7,r6,r6
 780         $UMULH          r8,r6,r6
 781         addc            r9,r7,r9
 782         adde            r10,r8,r10
 783         addze           r11,r0
 784                                                 #sqr_add_c2(a,7,5,c1,c2,c3)
 785         $LD             r6,`7*$BNSZ`(r4)
 786         $UMULL          r7,r5,r6
 787         $UMULH          r8,r5,r6
 788         addc            r9,r7,r9
 789         adde            r10,r8,r10
 790         addze           r11,r11
 791         addc            r9,r7,r9
 792         adde            r10,r8,r10
 793         addze           r11,r11
 794         $ST             r9,`12*$BNSZ`(r3)       #r[12]=c1;
 795
 796                                                 #sqr_add_c2(a,7,6,c2,c3,c1)
 797         $LD             r5,`6*$BNSZ`(r4)
 798         $UMULL          r7,r5,r6
 799         $UMULH          r8,r5,r6
 800         addc            r10,r7,r10
 801         adde            r11,r8,r11
 802         addze           r9,r0
 803         addc            r10,r7,r10
 804         adde            r11,r8,r11
 805         addze           r9,r9
 806         $ST             r10,`13*$BNSZ`(r3)      #r[13]=c2;
 807                                                 #sqr_add_c(a,7,c3,c1,c2);
 808         $UMULL          r7,r6,r6
 809         $UMULH          r8,r6,r6
 810         addc            r11,r7,r11
 811         adde            r9,r8,r9
 812         $ST             r11,`14*$BNSZ`(r3)      #r[14]=c3;
 813         $ST             r9, `15*$BNSZ`(r3)      #r[15]=c1;
 814
 815
 816         blr
 817
 818         .long   0x00000000
 819
 820 #
 821 #       NOTE:   The following label name should be changed to
 822 #               "bn_mul_comba4" i.e. remove the first dot
 823 #               for the gcc compiler. This should be automatically
 824 #               done in the build
 825 #
 826
 827 .align  4
 828 .bn_mul_comba4:
 829 #
 830 # This is an optimized version of the bn_mul_comba4 routine.
 831 #
 832 # void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
 833 # r3 contains r
 834 # r4 contains a
 835 # r5 contains b
 836 # r6, r7 are the 2 BN_ULONGs being multiplied.
 837 # r8, r9 are the results of the 32x32 giving 64 multiply.
 838 # r10, r11, r12 are the equivalents of c1, c2, and c3.
 839 #
 840         xor     r0,r0,r0                #r0=0. Used in addze below.
 841                                         #mul_add_c(a[0],b[0],c1,c2,c3);
 842         $LD     r6,`0*$BNSZ`(r4)
 843         $LD     r7,`0*$BNSZ`(r5)
 844         $UMULL  r10,r6,r7
 845         $UMULH  r11,r6,r7
 846         $ST     r10,`0*$BNSZ`(r3)       #r[0]=c1
 847                                         #mul_add_c(a[0],b[1],c2,c3,c1);
 848         $LD     r7,`1*$BNSZ`(r5)
 849         $UMULL  r8,r6,r7
 850         $UMULH  r9,r6,r7
 851         addc    r11,r8,r11
 852         adde    r12,r9,r0
 853         addze   r10,r0
 854                                         #mul_add_c(a[1],b[0],c2,c3,c1);
 855         $LD     r6, `1*$BNSZ`(r4)
 856         $LD     r7, `0*$BNSZ`(r5)
 857         $UMULL  r8,r6,r7
 858         $UMULH  r9,r6,r7
 859         addc    r11,r8,r11
 860         adde    r12,r9,r12
 861         addze   r10,r10
 862         $ST     r11,`1*$BNSZ`(r3)       #r[1]=c2
 863                                         #mul_add_c(a[2],b[0],c3,c1,c2);
 864         $LD     r6,`2*$BNSZ`(r4)
 865         $UMULL  r8,r6,r7
 866         $UMULH  r9,r6,r7
 867         addc    r12,r8,r12
 868         adde    r10,r9,r10
 869         addze   r11,r0
 870                                         #mul_add_c(a[1],b[1],c3,c1,c2);
 871         $LD     r6,`1*$BNSZ`(r4)
 872         $LD     r7,`1*$BNSZ`(r5)
 873         $UMULL  r8,r6,r7
 874         $UMULH  r9,r6,r7
 875         addc    r12,r8,r12
 876         adde    r10,r9,r10
 877         addze   r11,r11
 878                                         #mul_add_c(a[0],b[2],c3,c1,c2);
 879         $LD     r6,`0*$BNSZ`(r4)
 880         $LD     r7,`2*$BNSZ`(r5)
 881         $UMULL  r8,r6,r7
 882         $UMULH  r9,r6,r7
 883         addc    r12,r8,r12
 884         adde    r10,r9,r10
 885         addze   r11,r11
 886         $ST     r12,`2*$BNSZ`(r3)       #r[2]=c3
 887                                         #mul_add_c(a[0],b[3],c1,c2,c3);
 888         $LD     r7,`3*$BNSZ`(r5)
 889         $UMULL  r8,r6,r7
 890         $UMULH  r9,r6,r7
 891         addc    r10,r8,r10
 892         adde    r11,r9,r11
 893         addze   r12,r0
 894                                         #mul_add_c(a[1],b[2],c1,c2,c3);
 895         $LD     r6,`1*$BNSZ`(r4)
 896         $LD     r7,`2*$BNSZ`(r5)
 897         $UMULL  r8,r6,r7
 898         $UMULH  r9,r6,r7
 899         addc    r10,r8,r10
 900         adde    r11,r9,r11
 901         addze   r12,r12
 902                                         #mul_add_c(a[2],b[1],c1,c2,c3);
 903         $LD     r6,`2*$BNSZ`(r4)
 904         $LD     r7,`1*$BNSZ`(r5)
 905         $UMULL  r8,r6,r7
 906         $UMULH  r9,r6,r7
 907         addc    r10,r8,r10
 908         adde    r11,r9,r11
 909         addze   r12,r12
 910                                         #mul_add_c(a[3],b[0],c1,c2,c3);
 911         $LD     r6,`3*$BNSZ`(r4)
 912         $LD     r7,`0*$BNSZ`(r5)
 913         $UMULL  r8,r6,r7
 914         $UMULH  r9,r6,r7
 915         addc    r10,r8,r10
 916         adde    r11,r9,r11
 917         addze   r12,r12
 918         $ST     r10,`3*$BNSZ`(r3)       #r[3]=c1
 919                                         #mul_add_c(a[3],b[1],c2,c3,c1);
 920         $LD     r7,`1*$BNSZ`(r5)
 921         $UMULL  r8,r6,r7
 922         $UMULH  r9,r6,r7
 923         addc    r11,r8,r11
 924         adde    r12,r9,r12
 925         addze   r10,r0
 926                                         #mul_add_c(a[2],b[2],c2,c3,c1);
 927         $LD     r6,`2*$BNSZ`(r4)
 928         $LD     r7,`2*$BNSZ`(r5)
 929         $UMULL  r8,r6,r7
 930         $UMULH  r9,r6,r7
 931         addc    r11,r8,r11
 932         adde    r12,r9,r12
 933         addze   r10,r10
 934                                         #mul_add_c(a[1],b[3],c2,c3,c1);
 935         $LD     r6,`1*$BNSZ`(r4)
 936         $LD     r7,`3*$BNSZ`(r5)
 937         $UMULL  r8,r6,r7
 938         $UMULH  r9,r6,r7
 939         addc    r11,r8,r11
 940         adde    r12,r9,r12
 941         addze   r10,r10
 942         $ST     r11,`4*$BNSZ`(r3)       #r[4]=c2
 943                                         #mul_add_c(a[2],b[3],c3,c1,c2);
 944         $LD     r6,`2*$BNSZ`(r4)
 945         $UMULL  r8,r6,r7
 946         $UMULH  r9,r6,r7
 947         addc    r12,r8,r12
 948         adde    r10,r9,r10
 949         addze   r11,r0
 950                                         #mul_add_c(a[3],b[2],c3,c1,c2);
 951         $LD     r6,`3*$BNSZ`(r4)
 952         $LD     r7,`2*$BNSZ`(r4)
 953         $UMULL  r8,r6,r7
 954         $UMULH  r9,r6,r7
 955         addc    r12,r8,r12
 956         adde    r10,r9,r10
 957         addze   r11,r11
 958         $ST     r12,`5*$BNSZ`(r3)       #r[5]=c3
 959                                         #mul_add_c(a[3],b[3],c1,c2,c3);
 960         $LD     r7,`3*$BNSZ`(r5)
 961         $UMULL  r8,r6,r7
 962         $UMULH  r9,r6,r7
 963         addc    r10,r8,r10
 964         adde    r11,r9,r11
 965
 966         $ST     r10,`6*$BNSZ`(r3)       #r[6]=c1
 967         $ST     r11,`7*$BNSZ`(r3)       #r[7]=c2
 968         blr
 969         .long   0x00000000
 970
 971 #
 972 #       NOTE:   The following label name should be changed to
 973 #               "bn_mul_comba8" i.e. remove the first dot
 974 #               for the gcc compiler. This should be automatically
 975 #               done in the build
 976 #
 977
 978 .align  4
 979 .bn_mul_comba8:
 980 #
 981 # Optimized version of the bn_mul_comba8 routine.
 982 #
 983 # void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
 984 # r3 contains r
 985 # r4 contains a
 986 # r5 contains b
 987 # r6, r7 are the 2 BN_ULONGs being multiplied.
 988 # r8, r9 are the results of the 32x32 giving 64 multiply.
 989 # r10, r11, r12 are the equivalents of c1, c2, and c3.
 990 #
 991         xor     r0,r0,r0                #r0=0. Used in addze below.
 992
 993                                         #mul_add_c(a[0],b[0],c1,c2,c3);
 994         $LD     r6,`0*$BNSZ`(r4)        #a[0]
 995         $LD     r7,`0*$BNSZ`(r5)        #b[0]
 996         $UMULL  r10,r6,r7
 997         $UMULH  r11,r6,r7
 998         $ST     r10,`0*$BNSZ`(r3)       #r[0]=c1;
 999                                         #mul_add_c(a[0],b[1],c2,c3,c1);
1000         $LD     r7,`1*$BNSZ`(r5)
1001         $UMULL  r8,r6,r7
1002         $UMULH  r9,r6,r7
1003         addc    r11,r11,r8
1004         addze   r12,r9                  # since we didnt set r12 to zero before.
1005         addze   r10,r0
1006                                         #mul_add_c(a[1],b[0],c2,c3,c1);
1007         $LD     r6,`1*$BNSZ`(r4)
1008         $LD     r7,`0*$BNSZ`(r5)
1009         $UMULL  r8,r6,r7
1010         $UMULH  r9,r6,r7
1011         addc    r11,r11,r8
1012         adde    r12,r12,r9
1013         addze   r10,r10
1014         $ST     r11,`1*$BNSZ`(r3)       #r[1]=c2;
1015                                         #mul_add_c(a[2],b[0],c3,c1,c2);
1016         $LD     r6,`2*$BNSZ`(r4)
1017         $UMULL  r8,r6,r7
1018         $UMULH  r9,r6,r7
1019         addc    r12,r12,r8
1020         adde    r10,r10,r9
1021         addze   r11,r0
1022                                         #mul_add_c(a[1],b[1],c3,c1,c2);
1023         $LD     r6,`1*$BNSZ`(r4)
1024         $LD     r7,`1*$BNSZ`(r5)
1025         $UMULL  r8,r6,r7
1026         $UMULH  r9,r6,r7
1027         addc    r12,r12,r8
1028         adde    r10,r10,r9
1029         addze   r11,r11
1030                                         #mul_add_c(a[0],b[2],c3,c1,c2);
1031         $LD     r6,`0*$BNSZ`(r4)
1032         $LD     r7,`2*$BNSZ`(r5)
1033         $UMULL  r8,r6,r7
1034         $UMULH  r9,r6,r7
1035         addc    r12,r12,r8
1036         adde    r10,r10,r9
1037         addze   r11,r11
1038         $ST     r12,`2*$BNSZ`(r3)       #r[2]=c3;
1039                                         #mul_add_c(a[0],b[3],c1,c2,c3);
1040         $LD     r7,`3*$BNSZ`(r5)
1041         $UMULL  r8,r6,r7
1042         $UMULH  r9,r6,r7
1043         addc    r10,r10,r8
1044         adde    r11,r11,r9
1045         addze   r12,r0
1046                                         #mul_add_c(a[1],b[2],c1,c2,c3);
1047         $LD     r6,`1*$BNSZ`(r4)
1048         $LD     r7,`2*$BNSZ`(r5)
1049         $UMULL  r8,r6,r7
1050         $UMULH  r9,r6,r7
1051         addc    r10,r10,r8
1052         adde    r11,r11,r9
1053         addze   r12,r12
1054
1055                                         #mul_add_c(a[2],b[1],c1,c2,c3);
1056         $LD     r6,`2*$BNSZ`(r4)
1057         $LD     r7,`1*$BNSZ`(r5)
1058         $UMULL  r8,r6,r7
1059         $UMULH  r9,r6,r7
1060         addc    r10,r10,r8
1061         adde    r11,r11,r9
1062         addze   r12,r12
1063                                         #mul_add_c(a[3],b[0],c1,c2,c3);
1064         $LD     r6,`3*$BNSZ`(r4)
1065         $LD     r7,`0*$BNSZ`(r5)
1066         $UMULL  r8,r6,r7
1067         $UMULH  r9,r6,r7
1068         addc    r10,r10,r8
1069         adde    r11,r11,r9
1070         addze   r12,r12
1071         $ST     r10,`3*$BNSZ`(r3)       #r[3]=c1;
1072                                         #mul_add_c(a[4],b[0],c2,c3,c1);
1073         $LD     r6,`4*$BNSZ`(r4)
1074         $UMULL  r8,r6,r7
1075         $UMULH  r9,r6,r7
1076         addc    r11,r11,r8
1077         adde    r12,r12,r9
1078         addze   r10,r0
1079                                         #mul_add_c(a[3],b[1],c2,c3,c1);
1080         $LD     r6,`3*$BNSZ`(r4)
1081         $LD     r7,`1*$BNSZ`(r5)
1082         $UMULL  r8,r6,r7
1083         $UMULH  r9,r6,r7
1084         addc    r11,r11,r8
1085         adde    r12,r12,r9
1086         addze   r10,r10
1087                                         #mul_add_c(a[2],b[2],c2,c3,c1);
1088         $LD     r6,`2*$BNSZ`(r4)
1089         $LD     r7,`2*$BNSZ`(r5)
1090         $UMULL  r8,r6,r7
1091         $UMULH  r9,r6,r7
1092         addc    r11,r11,r8
1093         adde    r12,r12,r9
1094         addze   r10,r10
1095                                         #mul_add_c(a[1],b[3],c2,c3,c1);
1096         $LD     r6,`1*$BNSZ`(r4)
1097         $LD     r7,`3*$BNSZ`(r5)
1098         $UMULL  r8,r6,r7
1099         $UMULH  r9,r6,r7
1100         addc    r11,r11,r8
1101         adde    r12,r12,r9
1102         addze   r10,r10
1103                                         #mul_add_c(a[0],b[4],c2,c3,c1);
1104         $LD     r6,`0*$BNSZ`(r4)
1105         $LD     r7,`4*$BNSZ`(r5)
1106         $UMULL  r8,r6,r7
1107         $UMULH  r9,r6,r7
1108         addc    r11,r11,r8
1109         adde    r12,r12,r9
1110         addze   r10,r10
1111         $ST     r11,`4*$BNSZ`(r3)       #r[4]=c2;
1112                                         #mul_add_c(a[0],b[5],c3,c1,c2);
1113         $LD     r7,`5*$BNSZ`(r5)
1114         $UMULL  r8,r6,r7
1115         $UMULH  r9,r6,r7
1116         addc    r12,r12,r8
1117         adde    r10,r10,r9
1118         addze   r11,r0
1119                                         #mul_add_c(a[1],b[4],c3,c1,c2);
1120         $LD     r6,`1*$BNSZ`(r4)
1121         $LD     r7,`4*$BNSZ`(r5)
1122         $UMULL  r8,r6,r7
1123         $UMULH  r9,r6,r7
1124         addc    r12,r12,r8
1125         adde    r10,r10,r9
1126         addze   r11,r11
1127                                         #mul_add_c(a[2],b[3],c3,c1,c2);
1128         $LD     r6,`2*$BNSZ`(r4)
1129         $LD     r7,`3*$BNSZ`(r5)
1130         $UMULL  r8,r6,r7
1131         $UMULH  r9,r6,r7
1132         addc    r12,r12,r8
1133         adde    r10,r10,r9
1134         addze   r11,r11
1135                                         #mul_add_c(a[3],b[2],c3,c1,c2);
1136         $LD     r6,`3*$BNSZ`(r4)
1137         $LD     r7,`2*$BNSZ`(r5)
1138         $UMULL  r8,r6,r7
1139         $UMULH  r9,r6,r7
1140         addc    r12,r12,r8
1141         adde    r10,r10,r9
1142         addze   r11,r11
1143                                         #mul_add_c(a[4],b[1],c3,c1,c2);
1144         $LD     r6,`4*$BNSZ`(r4)
1145         $LD     r7,`1*$BNSZ`(r5)
1146         $UMULL  r8,r6,r7
1147         $UMULH  r9,r6,r7
1148         addc    r12,r12,r8
1149         adde    r10,r10,r9
1150         addze   r11,r11
1151                                         #mul_add_c(a[5],b[0],c3,c1,c2);
1152         $LD     r6,`5*$BNSZ`(r4)
1153         $LD     r7,`0*$BNSZ`(r5)
1154         $UMULL  r8,r6,r7
1155         $UMULH  r9,r6,r7
1156         addc    r12,r12,r8
1157         adde    r10,r10,r9
1158         addze   r11,r11
1159         $ST     r12,`5*$BNSZ`(r3)       #r[5]=c3;
1160                                         #mul_add_c(a[6],b[0],c1,c2,c3);
1161         $LD     r6,`6*$BNSZ`(r4)
1162         $UMULL  r8,r6,r7
1163         $UMULH  r9,r6,r7
1164         addc    r10,r10,r8
1165         adde    r11,r11,r9
1166         addze   r12,r0
1167                                         #mul_add_c(a[5],b[1],c1,c2,c3);
1168         $LD     r6,`5*$BNSZ`(r4)
1169         $LD     r7,`1*$BNSZ`(r5)
1170         $UMULL  r8,r6,r7
1171         $UMULH  r9,r6,r7
1172         addc    r10,r10,r8
1173         adde    r11,r11,r9
1174         addze   r12,r12
1175                                         #mul_add_c(a[4],b[2],c1,c2,c3);
1176         $LD     r6,`4*$BNSZ`(r4)
1177         $LD     r7,`2*$BNSZ`(r5)
1178         $UMULL  r8,r6,r7
1179         $UMULH  r9,r6,r7
1180         addc    r10,r10,r8
1181         adde    r11,r11,r9
1182         addze   r12,r12
1183                                         #mul_add_c(a[3],b[3],c1,c2,c3);
1184         $LD     r6,`3*$BNSZ`(r4)
1185         $LD     r7,`3*$BNSZ`(r5)
1186         $UMULL  r8,r6,r7
1187         $UMULH  r9,r6,r7
1188         addc    r10,r10,r8
1189         adde    r11,r11,r9
1190         addze   r12,r12
1191                                         #mul_add_c(a[2],b[4],c1,c2,c3);
1192         $LD     r6,`2*$BNSZ`(r4)
1193         $LD     r7,`4*$BNSZ`(r5)
1194         $UMULL  r8,r6,r7
1195         $UMULH  r9,r6,r7
1196         addc    r10,r10,r8
1197         adde    r11,r11,r9
1198         addze   r12,r12
1199                                         #mul_add_c(a[1],b[5],c1,c2,c3);
1200         $LD     r6,`1*$BNSZ`(r4)
1201         $LD     r7,`5*$BNSZ`(r5)
1202         $UMULL  r8,r6,r7
1203         $UMULH  r9,r6,r7
1204         addc    r10,r10,r8
1205         adde    r11,r11,r9
1206         addze   r12,r12
1207                                         #mul_add_c(a[0],b[6],c1,c2,c3);
1208         $LD     r6,`0*$BNSZ`(r4)
1209         $LD     r7,`6*$BNSZ`(r5)
1210         $UMULL  r8,r6,r7
1211         $UMULH  r9,r6,r7
1212         addc    r10,r10,r8
1213         adde    r11,r11,r9
1214         addze   r12,r12
1215         $ST     r10,`6*$BNSZ`(r3)       #r[6]=c1;
1216                                         #mul_add_c(a[0],b[7],c2,c3,c1);
1217         $LD     r7,`7*$BNSZ`(r5)
1218         $UMULL  r8,r6,r7
1219         $UMULH  r9,r6,r7
1220         addc    r11,r11,r8
1221         adde    r12,r12,r9
1222         addze   r10,r0
1223                                         #mul_add_c(a[1],b[6],c2,c3,c1);
1224         $LD     r6,`1*$BNSZ`(r4)
1225         $LD     r7,`6*$BNSZ`(r5)
1226         $UMULL  r8,r6,r7
1227         $UMULH  r9,r6,r7
1228         addc    r11,r11,r8
1229         adde    r12,r12,r9
1230         addze   r10,r10
1231                                         #mul_add_c(a[2],b[5],c2,c3,c1);
1232         $LD     r6,`2*$BNSZ`(r4)
1233         $LD     r7,`5*$BNSZ`(r5)
1234         $UMULL  r8,r6,r7
1235         $UMULH  r9,r6,r7
1236         addc    r11,r11,r8
1237         adde    r12,r12,r9
1238         addze   r10,r10
1239                                         #mul_add_c(a[3],b[4],c2,c3,c1);
1240         $LD     r6,`3*$BNSZ`(r4)
1241         $LD     r7,`4*$BNSZ`(r5)
1242         $UMULL  r8,r6,r7
1243         $UMULH  r9,r6,r7
1244         addc    r11,r11,r8
1245         adde    r12,r12,r9
1246         addze   r10,r10
1247                                         #mul_add_c(a[4],b[3],c2,c3,c1);
1248         $LD     r6,`4*$BNSZ`(r4)
1249         $LD     r7,`3*$BNSZ`(r5)
1250         $UMULL  r8,r6,r7
1251         $UMULH  r9,r6,r7
1252         addc    r11,r11,r8
1253         adde    r12,r12,r9
1254         addze   r10,r10
1255                                         #mul_add_c(a[5],b[2],c2,c3,c1);
1256         $LD     r6,`5*$BNSZ`(r4)
1257         $LD     r7,`2*$BNSZ`(r5)
1258         $UMULL  r8,r6,r7
1259         $UMULH  r9,r6,r7
1260         addc    r11,r11,r8
1261         adde    r12,r12,r9
1262         addze   r10,r10
1263                                         #mul_add_c(a[6],b[1],c2,c3,c1);
1264         $LD     r6,`6*$BNSZ`(r4)
1265         $LD     r7,`1*$BNSZ`(r5)
1266         $UMULL  r8,r6,r7
1267         $UMULH  r9,r6,r7
1268         addc    r11,r11,r8
1269         adde    r12,r12,r9
1270         addze   r10,r10
1271                                         #mul_add_c(a[7],b[0],c2,c3,c1);
1272         $LD     r6,`7*$BNSZ`(r4)
1273         $LD     r7,`0*$BNSZ`(r5)
1274         $UMULL  r8,r6,r7
1275         $UMULH  r9,r6,r7
1276         addc    r11,r11,r8
1277         adde    r12,r12,r9
1278         addze   r10,r10
1279         $ST     r11,`7*$BNSZ`(r3)       #r[7]=c2;
1280                                         #mul_add_c(a[7],b[1],c3,c1,c2);
1281         $LD     r7,`1*$BNSZ`(r5)
1282         $UMULL  r8,r6,r7
1283         $UMULH  r9,r6,r7
1284         addc    r12,r12,r8
1285         adde    r10,r10,r9
1286         addze   r11,r0
1287                                         #mul_add_c(a[6],b[2],c3,c1,c2);
1288         $LD     r6,`6*$BNSZ`(r4)
1289         $LD     r7,`2*$BNSZ`(r5)
1290         $UMULL  r8,r6,r7
1291         $UMULH  r9,r6,r7
1292         addc    r12,r12,r8
1293         adde    r10,r10,r9
1294         addze   r11,r11
1295                                         #mul_add_c(a[5],b[3],c3,c1,c2);
1296         $LD     r6,`5*$BNSZ`(r4)
1297         $LD     r7,`3*$BNSZ`(r5)
1298         $UMULL  r8,r6,r7
1299         $UMULH  r9,r6,r7
1300         addc    r12,r12,r8
1301         adde    r10,r10,r9
1302         addze   r11,r11
1303                                         #mul_add_c(a[4],b[4],c3,c1,c2);
1304         $LD     r6,`4*$BNSZ`(r4)
1305         $LD     r7,`4*$BNSZ`(r5)
1306         $UMULL  r8,r6,r7
1307         $UMULH  r9,r6,r7
1308         addc    r12,r12,r8
1309         adde    r10,r10,r9
1310         addze   r11,r11
1311                                         #mul_add_c(a[3],b[5],c3,c1,c2);
1312         $LD     r6,`3*$BNSZ`(r4)
1313         $LD     r7,`5*$BNSZ`(r5)
1314         $UMULL  r8,r6,r7
1315         $UMULH  r9,r6,r7
1316         addc    r12,r12,r8
1317         adde    r10,r10,r9
1318         addze   r11,r11
1319                                         #mul_add_c(a[2],b[6],c3,c1,c2);
1320         $LD     r6,`2*$BNSZ`(r4)
1321         $LD     r7,`6*$BNSZ`(r5)
1322         $UMULL  r8,r6,r7
1323         $UMULH  r9,r6,r7
1324         addc    r12,r12,r8
1325         adde    r10,r10,r9
1326         addze   r11,r11
1327                                         #mul_add_c(a[1],b[7],c3,c1,c2);
1328         $LD     r6,`1*$BNSZ`(r4)
1329         $LD     r7,`7*$BNSZ`(r5)
1330         $UMULL  r8,r6,r7
1331         $UMULH  r9,r6,r7
1332         addc    r12,r12,r8
1333         adde    r10,r10,r9
1334         addze   r11,r11
1335         $ST     r12,`8*$BNSZ`(r3)       #r[8]=c3;
1336                                         #mul_add_c(a[2],b[7],c1,c2,c3);
1337         $LD     r6,`2*$BNSZ`(r4)
1338         $UMULL  r8,r6,r7
1339         $UMULH  r9,r6,r7
1340         addc    r10,r10,r8
1341         adde    r11,r11,r9
1342         addze   r12,r0
1343                                         #mul_add_c(a[3],b[6],c1,c2,c3);
1344         $LD     r6,`3*$BNSZ`(r4)
1345         $LD     r7,`6*$BNSZ`(r5)
1346         $UMULL  r8,r6,r7
1347         $UMULH  r9,r6,r7
1348         addc    r10,r10,r8
1349         adde    r11,r11,r9
1350         addze   r12,r12
1351                                         #mul_add_c(a[4],b[5],c1,c2,c3);
1352         $LD     r6,`4*$BNSZ`(r4)
1353         $LD     r7,`5*$BNSZ`(r5)
1354         $UMULL  r8,r6,r7
1355         $UMULH  r9,r6,r7
1356         addc    r10,r10,r8
1357         adde    r11,r11,r9
1358         addze   r12,r12
1359                                         #mul_add_c(a[5],b[4],c1,c2,c3);
1360         $LD     r6,`5*$BNSZ`(r4)
1361         $LD     r7,`4*$BNSZ`(r5)
1362         $UMULL  r8,r6,r7
1363         $UMULH  r9,r6,r7
1364         addc    r10,r10,r8
1365         adde    r11,r11,r9
1366         addze   r12,r12
1367                                         #mul_add_c(a[6],b[3],c1,c2,c3);
1368         $LD     r6,`6*$BNSZ`(r4)
1369         $LD     r7,`3*$BNSZ`(r5)
1370         $UMULL  r8,r6,r7
1371         $UMULH  r9,r6,r7
1372         addc    r10,r10,r8
1373         adde    r11,r11,r9
1374         addze   r12,r12
1375                                         #mul_add_c(a[7],b[2],c1,c2,c3);
1376         $LD     r6,`7*$BNSZ`(r4)
1377         $LD     r7,`2*$BNSZ`(r5)
1378         $UMULL  r8,r6,r7
1379         $UMULH  r9,r6,r7
1380         addc    r10,r10,r8
1381         adde    r11,r11,r9
1382         addze   r12,r12
1383         $ST     r10,`9*$BNSZ`(r3)       #r[9]=c1;
1384                                         #mul_add_c(a[7],b[3],c2,c3,c1);
1385         $LD     r7,`3*$BNSZ`(r5)
1386         $UMULL  r8,r6,r7
1387         $UMULH  r9,r6,r7
1388         addc    r11,r11,r8
1389         adde    r12,r12,r9
1390         addze   r10,r0
1391                                         #mul_add_c(a[6],b[4],c2,c3,c1);
1392         $LD     r6,`6*$BNSZ`(r4)
1393         $LD     r7,`4*$BNSZ`(r5)
1394         $UMULL  r8,r6,r7
1395         $UMULH  r9,r6,r7
1396         addc    r11,r11,r8
1397         adde    r12,r12,r9
1398         addze   r10,r10
1399                                         #mul_add_c(a[5],b[5],c2,c3,c1);
1400         $LD     r6,`5*$BNSZ`(r4)
1401         $LD     r7,`5*$BNSZ`(r5)
1402         $UMULL  r8,r6,r7
1403         $UMULH  r9,r6,r7
1404         addc    r11,r11,r8
1405         adde    r12,r12,r9
1406         addze   r10,r10
1407                                         #mul_add_c(a[4],b[6],c2,c3,c1);
1408         $LD     r6,`4*$BNSZ`(r4)
1409         $LD     r7,`6*$BNSZ`(r5)
1410         $UMULL  r8,r6,r7
1411         $UMULH  r9,r6,r7
1412         addc    r11,r11,r8
1413         adde    r12,r12,r9
1414         addze   r10,r10
1415                                         #mul_add_c(a[3],b[7],c2,c3,c1);
1416         $LD     r6,`3*$BNSZ`(r4)
1417         $LD     r7,`7*$BNSZ`(r5)
1418         $UMULL  r8,r6,r7
1419         $UMULH  r9,r6,r7
1420         addc    r11,r11,r8
1421         adde    r12,r12,r9
1422         addze   r10,r10
1423         $ST     r11,`10*$BNSZ`(r3)      #r[10]=c2;
1424                                         #mul_add_c(a[4],b[7],c3,c1,c2);
1425         $LD     r6,`4*$BNSZ`(r4)
1426         $UMULL  r8,r6,r7
1427         $UMULH  r9,r6,r7
1428         addc    r12,r12,r8
1429         adde    r10,r10,r9
1430         addze   r11,r0
1431                                         #mul_add_c(a[5],b[6],c3,c1,c2);
1432         $LD     r6,`5*$BNSZ`(r4)
1433         $LD     r7,`6*$BNSZ`(r5)
1434         $UMULL  r8,r6,r7
1435         $UMULH  r9,r6,r7
1436         addc    r12,r12,r8
1437         adde    r10,r10,r9
1438         addze   r11,r11
1439                                         #mul_add_c(a[6],b[5],c3,c1,c2);
1440         $LD     r6,`6*$BNSZ`(r4)
1441         $LD     r7,`5*$BNSZ`(r5)
1442         $UMULL  r8,r6,r7
1443         $UMULH  r9,r6,r7
1444         addc    r12,r12,r8
1445         adde    r10,r10,r9
1446         addze   r11,r11
1447                                         #mul_add_c(a[7],b[4],c3,c1,c2);
1448         $LD     r6,`7*$BNSZ`(r4)
1449         $LD     r7,`4*$BNSZ`(r5)
1450         $UMULL  r8,r6,r7
1451         $UMULH  r9,r6,r7
1452         addc    r12,r12,r8
1453         adde    r10,r10,r9
1454         addze   r11,r11
1455         $ST     r12,`11*$BNSZ`(r3)      #r[11]=c3;
1456                                         #mul_add_c(a[7],b[5],c1,c2,c3);
1457         $LD     r7,`5*$BNSZ`(r5)
1458         $UMULL  r8,r6,r7
1459         $UMULH  r9,r6,r7
1460         addc    r10,r10,r8
1461         adde    r11,r11,r9
1462         addze   r12,r0
1463                                         #mul_add_c(a[6],b[6],c1,c2,c3);
1464         $LD     r6,`6*$BNSZ`(r4)
1465         $LD     r7,`6*$BNSZ`(r5)
1466         $UMULL  r8,r6,r7
1467         $UMULH  r9,r6,r7
1468         addc    r10,r10,r8
1469         adde    r11,r11,r9
1470         addze   r12,r12
1471                                         #mul_add_c(a[5],b[7],c1,c2,c3);
1472         $LD     r6,`5*$BNSZ`(r4)
1473         $LD     r7,`7*$BNSZ`(r5)
1474         $UMULL  r8,r6,r7
1475         $UMULH  r9,r6,r7
1476         addc    r10,r10,r8
1477         adde    r11,r11,r9
1478         addze   r12,r12
1479         $ST     r10,`12*$BNSZ`(r3)      #r[12]=c1;
1480                                         #mul_add_c(a[6],b[7],c2,c3,c1);
1481         $LD     r6,`6*$BNSZ`(r4)
1482         $UMULL  r8,r6,r7
1483         $UMULH  r9,r6,r7
1484         addc    r11,r11,r8
1485         adde    r12,r12,r9
1486         addze   r10,r0
1487                                         #mul_add_c(a[7],b[6],c2,c3,c1);
1488         $LD     r6,`7*$BNSZ`(r4)
1489         $LD     r7,`6*$BNSZ`(r5)
1490         $UMULL  r8,r6,r7
1491         $UMULH  r9,r6,r7
1492         addc    r11,r11,r8
1493         adde    r12,r12,r9
1494         addze   r10,r10
1495         $ST     r11,`13*$BNSZ`(r3)      #r[13]=c2;
1496                                         #mul_add_c(a[7],b[7],c3,c1,c2);
1497         $LD     r7,`7*$BNSZ`(r5)
1498         $UMULL  r8,r6,r7
1499         $UMULH  r9,r6,r7
1500         addc    r12,r12,r8
1501         adde    r10,r10,r9
1502         $ST     r12,`14*$BNSZ`(r3)      #r[14]=c3;
1503         $ST     r10,`15*$BNSZ`(r3)      #r[15]=c1;
1504         blr
1505         .long   0x00000000
1506
1507 #
1508 #       NOTE:   The following label name should be changed to
1509 #               "bn_sub_words" i.e. remove the first dot
1510 #               for the gcc compiler. This should be automatically
1511 #               done in the build
1512 #
1513 #
1514 .align  4
1515 .bn_sub_words:
1516 #
1517 #       Handcoded version of bn_sub_words
1518 #
1519 #BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
1520 #
1521 #       r3 = r
1522 #       r4 = a
1523 #       r5 = b
1524 #       r6 = n
1525 #
1526 #       Note:   No loop unrolling done since this is not a performance
1527 #               critical loop.
1528
1529         xor     r0,r0,r0        #set r0 = 0
1530 #
1531 #       check for r6 = 0 AND set carry bit.
1532 #
1533         subfc.  r7,r0,r6        # If r6 is 0 then result is 0.
1534                                 # if r6 > 0 then result !=0
1535                                 # In either case carry bit is set.
1536         beq     Lppcasm_sub_adios
1537         addi    r4,r4,-$BNSZ
1538         addi    r3,r3,-$BNSZ
1539         addi    r5,r5,-$BNSZ
1540         mtctr   r6
1541 Lppcasm_sub_mainloop:
1542         $LDU    r7,$BNSZ(r4)
1543         $LDU    r8,$BNSZ(r5)
1544         subfe   r6,r8,r7        # r6 = r7+carry bit + onescomplement(r8)
1545                                 # if carry = 1 this is r7-r8. Else it
1546                                 # is r7-r8 -1 as we need.
1547         $STU    r6,$BNSZ(r3)
1548         bdnz-   Lppcasm_sub_mainloop
1549 Lppcasm_sub_adios:
1550         subfze  r3,r0           # if carry bit is set then r3 = 0 else -1
1551         andi.   r3,r3,1         # keep only last bit.
1552         blr
1553         .long   0x00000000
1554
1555
1556 #
1557 #       NOTE:   The following label name should be changed to
1558 #               "bn_add_words" i.e. remove the first dot
1559 #               for the gcc compiler. This should be automatically
1560 #               done in the build
1561 #
1562
1563 .align  4
1564 .bn_add_words:
1565 #
1566 #       Handcoded version of bn_add_words
1567 #
1568 #BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
1569 #
1570 #       r3 = r
1571 #       r4 = a
1572 #       r5 = b
1573 #       r6 = n
1574 #
1575 #       Note:   No loop unrolling done since this is not a performance
1576 #               critical loop.
1577
1578         xor     r0,r0,r0
1579 #
1580 #       check for r6 = 0. Is this needed?
1581 #
1582         addic.  r6,r6,0         #test r6 and clear carry bit.
1583         beq     Lppcasm_add_adios
1584         addi    r4,r4,-$BNSZ
1585         addi    r3,r3,-$BNSZ
1586         addi    r5,r5,-$BNSZ
1587         mtctr   r6
1588 Lppcasm_add_mainloop:
1589         $LDU    r7,$BNSZ(r4)
1590         $LDU    r8,$BNSZ(r5)
1591         adde    r8,r7,r8
1592         $STU    r8,$BNSZ(r3)
1593         bdnz-   Lppcasm_add_mainloop
1594 Lppcasm_add_adios:
1595         addze   r3,r0                   #return carry bit.
1596         blr
1597         .long   0x00000000
1598
1599 #
1600 #       NOTE:   The following label name should be changed to
1601 #               "bn_div_words" i.e. remove the first dot
1602 #               for the gcc compiler. This should be automatically
1603 #               done in the build
1604 #
1605
1606 .align  4
1607 .bn_div_words:
1608 #
1609 #       This is a cleaned up version of code generated by
1610 #       the AIX compiler. The only optimization is to use
1611 #       the PPC instruction to count leading zeros instead
1612 #       of call to num_bits_word. Since this was compiled
1613 #       only at level -O2 we can possibly squeeze it more?
1614 #
1615 #       r3 = h
1616 #       r4 = l
1617 #       r5 = d
1618
1619         $UCMPI  0,r5,0                  # compare r5 and 0
1620         bne     Lppcasm_div1            # proceed if d!=0
1621         li      r3,-1                   # d=0 return -1
1622         blr
1623 Lppcasm_div1:
1624         xor     r0,r0,r0                #r0=0
1625         li      r8,$BITS
1626         $CNTLZ. r7,r5                   #r7 = num leading 0s in d.
1627         beq     Lppcasm_div2            #proceed if no leading zeros
1628         subf    r8,r7,r8                #r8 = BN_num_bits_word(d)
1629         $SHR.   r9,r3,r8                #are there any bits above r8'th?
1630         $TR     16,r9,r0                #if there're, signal to dump core...
1631 Lppcasm_div2:
1632         $UCMP   0,r3,r5                 #h>=d?
1633         blt     Lppcasm_div3            #goto Lppcasm_div3 if not
1634         subf    r3,r5,r3                #h-=d ;
1635 Lppcasm_div3:                           #r7 = BN_BITS2-i. so r7=i
1636         cmpi    0,0,r7,0                # is (i == 0)?
1637         beq     Lppcasm_div4
1638         $SHL    r3,r3,r7                # h = (h<< i)
1639         $SHR    r8,r4,r8                # r8 = (l >> BN_BITS2 -i)
1640         $SHL    r5,r5,r7                # d<<=i
1641         or      r3,r3,r8                # h = (h<<i)|(l>>(BN_BITS2-i))
1642         $SHL    r4,r4,r7                # l <<=i
1643 Lppcasm_div4:
1644         $SHRI   r9,r5,`$BITS/2`         # r9 = dh
1645                                         # dl will be computed when needed
1646                                         # as it saves registers.
1647         li      r6,2                    #r6=2
1648         mtctr   r6                      #counter will be in count.
1649 Lppcasm_divouterloop:
1650         $SHRI   r8,r3,`$BITS/2`         #r8 = (h>>BN_BITS4)
1651         $SHRI   r11,r4,`$BITS/2`        #r11= (l&BN_MASK2h)>>BN_BITS4
1652                                         # compute here for innerloop.
1653         $UCMP   0,r8,r9                 # is (h>>BN_BITS4)==dh
1654         bne     Lppcasm_div5            # goto Lppcasm_div5 if not
1655
1656         li      r8,-1
1657         $CLRU   r8,r8,`$BITS/2`         #q = BN_MASK2l
1658         b       Lppcasm_div6
1659 Lppcasm_div5:
1660         $UDIV   r8,r3,r9                #q = h/dh
1661 Lppcasm_div6:
1662         $UMULL  r12,r9,r8               #th = q*dh
1663         $CLRU   r10,r5,`$BITS/2`        #r10=dl
1664         $UMULL  r6,r8,r10               #tl = q*dl
1665
1666 Lppcasm_divinnerloop:
1667         subf    r10,r12,r3              #t = h -th
1668         $SHRI   r7,r10,`$BITS/2`        #r7= (t &BN_MASK2H), sort of...
1669         addic.  r7,r7,0                 #test if r7 == 0. used below.
1670                                         # now want to compute
1671                                         # r7 = (t<<BN_BITS4)|((l&BN_MASK2h)>>BN_BITS4)
1672                                         # the following 2 instructions do that
1673         $SHLI   r7,r10,`$BITS/2`        # r7 = (t<<BN_BITS4)
1674         or      r7,r7,r11               # r7|=((l&BN_MASK2h)>>BN_BITS4)
1675         $UCMP   cr1,r6,r7               # compare (tl <= r7)
1676         bne     Lppcasm_divinnerexit
1677         ble     cr1,Lppcasm_divinnerexit
1678         addi    r8,r8,-1                #q--
1679         subf    r12,r9,r12              #th -=dh
1680         $CLRU   r10,r5,`$BITS/2`        #r10=dl. t is no longer needed in loop.
1681         subf    r6,r10,r6               #tl -=dl
1682         b       Lppcasm_divinnerloop
1683 Lppcasm_divinnerexit:
1684         $SHRI   r10,r6,`$BITS/2`        #t=(tl>>BN_BITS4)
1685         $SHLI   r11,r6,`$BITS/2`        #tl=(tl<<BN_BITS4)&BN_MASK2h;
1686         $UCMP   cr1,r4,r11              # compare l and tl
1687         add     r12,r12,r10             # th+=t
1688         bge     cr1,Lppcasm_div7        # if (l>=tl) goto Lppcasm_div7
1689         addi    r12,r12,1               # th++
1690 Lppcasm_div7:
1691         subf    r11,r11,r4              #r11=l-tl
1692         $UCMP   cr1,r3,r12              #compare h and th
1693         bge     cr1,Lppcasm_div8        #if (h>=th) goto Lppcasm_div8
1694         addi    r8,r8,-1                # q--
1695         add     r3,r5,r3                # h+=d
1696 Lppcasm_div8:
1697         subf    r12,r12,r3              #r12 = h-th
1698         $SHLI   r4,r11,`$BITS/2`        #l=(l&BN_MASK2l)<<BN_BITS4
1699                                         # want to compute
1700                                         # h = ((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2
1701                                         # the following 2 instructions will do this.
1702         $INSR   r11,r12,`$BITS/2`,`$BITS/2`     # r11 is the value we want rotated $BITS/2.
1703         $ROTL   r3,r11,`$BITS/2`        # rotate by $BITS/2 and store in r3
1704         bdz     Lppcasm_div9            #if (count==0) break ;
1705         $SHLI   r0,r8,`$BITS/2`         #ret =q<<BN_BITS4
1706         b       Lppcasm_divouterloop
1707 Lppcasm_div9:
1708         or      r3,r8,r0
1709         blr
1710         .long   0x00000000
1711
1712 #
1713 #       NOTE:   The following label name should be changed to
1714 #               "bn_sqr_words" i.e. remove the first dot
1715 #               for the gcc compiler. This should be automatically
1716 #               done in the build
1717 #
1718 .align  4
1719 .bn_sqr_words:
1720 #
1721 #       Optimized version of bn_sqr_words
1722 #
1723 #       void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
1724 #
1725 #       r3 = r
1726 #       r4 = a
1727 #       r5 = n
1728 #
1729 #       r6 = a[i].
1730 #       r7,r8 = product.
1731 #
1732 #       No unrolling done here. Not performance critical.
1733
1734         addic.  r5,r5,0                 #test r5.
1735         beq     Lppcasm_sqr_adios
1736         addi    r4,r4,-$BNSZ
1737         addi    r3,r3,-$BNSZ
1738         mtctr   r5
1739 Lppcasm_sqr_mainloop:
1740                                         #sqr(r[0],r[1],a[0]);
1741         $LDU    r6,$BNSZ(r4)
1742         $UMULL  r7,r6,r6
1743         $UMULH  r8,r6,r6
1744         $STU    r7,$BNSZ(r3)
1745         $STU    r8,$BNSZ(r3)
1746         bdnz-   Lppcasm_sqr_mainloop
1747 Lppcasm_sqr_adios:
1748         blr
1749         .long   0x00000000
1750
1751
1752 #
1753 #       NOTE:   The following label name should be changed to
1754 #               "bn_mul_words" i.e. remove the first dot
1755 #               for the gcc compiler. This should be automatically
1756 #               done in the build
1757 #
1758
1759 .align  4
1760 .bn_mul_words:
1761 #
1762 # BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
1763 #
1764 # r3 = rp
1765 # r4 = ap
1766 # r5 = num
1767 # r6 = w
1768         xor     r0,r0,r0
1769         xor     r12,r12,r12             # used for carry
1770         rlwinm. r7,r5,30,2,31           # num >> 2
1771         beq     Lppcasm_mw_REM
1772         mtctr   r7
1773 Lppcasm_mw_LOOP:
1774                                         #mul(rp[0],ap[0],w,c1);
1775         $LD     r8,`0*$BNSZ`(r4)
1776         $UMULL  r9,r6,r8
1777         $UMULH  r10,r6,r8
1778         addc    r9,r9,r12
1779         #addze  r10,r10                 #carry is NOT ignored.
1780                                         #will be taken care of
1781                                         #in second spin below
1782                                         #using adde.
1783         $ST     r9,`0*$BNSZ`(r3)
1784                                         #mul(rp[1],ap[1],w,c1);
1785         $LD     r8,`1*$BNSZ`(r4)
1786         $UMULL  r11,r6,r8
1787         $UMULH  r12,r6,r8
1788         adde    r11,r11,r10
1789         #addze  r12,r12
1790         $ST     r11,`1*$BNSZ`(r3)
1791                                         #mul(rp[2],ap[2],w,c1);
1792         $LD     r8,`2*$BNSZ`(r4)
1793         $UMULL  r9,r6,r8
1794         $UMULH  r10,r6,r8
1795         adde    r9,r9,r12
1796         #addze  r10,r10
1797         $ST     r9,`2*$BNSZ`(r3)
1798                                         #mul_add(rp[3],ap[3],w,c1);
1799         $LD     r8,`3*$BNSZ`(r4)
1800         $UMULL  r11,r6,r8
1801         $UMULH  r12,r6,r8
1802         adde    r11,r11,r10
1803         addze   r12,r12                 #this spin we collect carry into
1804                                         #r12
1805         $ST     r11,`3*$BNSZ`(r3)
1806
1807         addi    r3,r3,`4*$BNSZ`
1808         addi    r4,r4,`4*$BNSZ`
1809         bdnz-   Lppcasm_mw_LOOP
1810
1811 Lppcasm_mw_REM:
1812         andi.   r5,r5,0x3
1813         beq     Lppcasm_mw_OVER
1814                                         #mul(rp[0],ap[0],w,c1);
1815         $LD     r8,`0*$BNSZ`(r4)
1816         $UMULL  r9,r6,r8
1817         $UMULH  r10,r6,r8
1818         addc    r9,r9,r12
1819         addze   r10,r10
1820         $ST     r9,`0*$BNSZ`(r3)
1821         addi    r12,r10,0
1822
1823         addi    r5,r5,-1
1824         cmpli   0,0,r5,0
1825         beq     Lppcasm_mw_OVER
1826
1827
1828                                         #mul(rp[1],ap[1],w,c1);
1829         $LD     r8,`1*$BNSZ`(r4)
1830         $UMULL  r9,r6,r8
1831         $UMULH  r10,r6,r8
1832         addc    r9,r9,r12
1833         addze   r10,r10
1834         $ST     r9,`1*$BNSZ`(r3)
1835         addi    r12,r10,0
1836
1837         addi    r5,r5,-1
1838         cmpli   0,0,r5,0
1839         beq     Lppcasm_mw_OVER
1840
1841                                         #mul_add(rp[2],ap[2],w,c1);
1842         $LD     r8,`2*$BNSZ`(r4)
1843         $UMULL  r9,r6,r8
1844         $UMULH  r10,r6,r8
1845         addc    r9,r9,r12
1846         addze   r10,r10
1847         $ST     r9,`2*$BNSZ`(r3)
1848         addi    r12,r10,0
1849
1850 Lppcasm_mw_OVER:
1851         addi    r3,r12,0
1852         blr
1853         .long   0x00000000
1854
1855 #
1856 #       NOTE:   The following label name should be changed to
1857 #               "bn_mul_add_words" i.e. remove the first dot
1858 #               for the gcc compiler. This should be automatically
1859 #               done in the build
1860 #
1861
1862 .align  4
1863 .bn_mul_add_words:
1864 #
1865 # BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
1866 #
1867 # r3 = rp
1868 # r4 = ap
1869 # r5 = num
1870 # r6 = w
1871 #
1872 # empirical evidence suggests that unrolled version performs best!!
1873 #
1874         xor     r0,r0,r0                #r0 = 0
1875         xor     r12,r12,r12             #r12 = 0 . used for carry
1876         rlwinm. r7,r5,30,2,31           # num >> 2
1877         beq     Lppcasm_maw_leftover    # if (num < 4) go LPPCASM_maw_leftover
1878         mtctr   r7
1879 Lppcasm_maw_mainloop:
1880                                         #mul_add(rp[0],ap[0],w,c1);
1881         $LD     r8,`0*$BNSZ`(r4)
1882         $LD     r11,`0*$BNSZ`(r3)
1883         $UMULL  r9,r6,r8
1884         $UMULH  r10,r6,r8
1885         addc    r9,r9,r12               #r12 is carry.
1886         addze   r10,r10
1887         addc    r9,r9,r11
1888         #addze  r10,r10
1889                                         #the above instruction addze
1890                                         #is NOT needed. Carry will NOT
1891                                         #be ignored. It's not affected
1892                                         #by multiply and will be collected
1893                                         #in the next spin
1894         $ST     r9,`0*$BNSZ`(r3)
1895
1896                                         #mul_add(rp[1],ap[1],w,c1);
1897         $LD     r8,`1*$BNSZ`(r4)
1898         $LD     r9,`1*$BNSZ`(r3)
1899         $UMULL  r11,r6,r8
1900         $UMULH  r12,r6,r8
1901         adde    r11,r11,r10             #r10 is carry.
1902         addze   r12,r12
1903         addc    r11,r11,r9
1904         #addze  r12,r12
1905         $ST     r11,`1*$BNSZ`(r3)
1906
1907                                         #mul_add(rp[2],ap[2],w,c1);
1908         $LD     r8,`2*$BNSZ`(r4)
1909         $UMULL  r9,r6,r8
1910         $LD     r11,`2*$BNSZ`(r3)
1911         $UMULH  r10,r6,r8
1912         adde    r9,r9,r12
1913         addze   r10,r10
1914         addc    r9,r9,r11
1915         #addze  r10,r10
1916         $ST     r9,`2*$BNSZ`(r3)
1917
1918                                         #mul_add(rp[3],ap[3],w,c1);
1919         $LD     r8,`3*$BNSZ`(r4)
1920         $UMULL  r11,r6,r8
1921         $LD     r9,`3*$BNSZ`(r3)
1922         $UMULH  r12,r6,r8
1923         adde    r11,r11,r10
1924         addze   r12,r12
1925         addc    r11,r11,r9
1926         addze   r12,r12
1927         $ST     r11,`3*$BNSZ`(r3)
1928         addi    r3,r3,`4*$BNSZ`
1929         addi    r4,r4,`4*$BNSZ`
1930         bdnz-   Lppcasm_maw_mainloop
1931
1932 Lppcasm_maw_leftover:
1933         andi.   r5,r5,0x3
1934         beq     Lppcasm_maw_adios
1935         addi    r3,r3,-$BNSZ
1936         addi    r4,r4,-$BNSZ
1937                                         #mul_add(rp[0],ap[0],w,c1);
1938         mtctr   r5
1939         $LDU    r8,$BNSZ(r4)
1940         $UMULL  r9,r6,r8
1941         $UMULH  r10,r6,r8
1942         $LDU    r11,$BNSZ(r3)
1943         addc    r9,r9,r11
1944         addze   r10,r10
1945         addc    r9,r9,r12
1946         addze   r12,r10
1947         $ST     r9,0(r3)
1948
1949         bdz     Lppcasm_maw_adios
1950                                         #mul_add(rp[1],ap[1],w,c1);
1951         $LDU    r8,$BNSZ(r4)
1952         $UMULL  r9,r6,r8
1953         $UMULH  r10,r6,r8
1954         $LDU    r11,$BNSZ(r3)
1955         addc    r9,r9,r11
1956         addze   r10,r10
1957         addc    r9,r9,r12
1958         addze   r12,r10
1959         $ST     r9,0(r3)
1960
1961         bdz     Lppcasm_maw_adios
1962                                         #mul_add(rp[2],ap[2],w,c1);
1963         $LDU    r8,$BNSZ(r4)
1964         $UMULL  r9,r6,r8
1965         $UMULH  r10,r6,r8
1966         $LDU    r11,$BNSZ(r3)
1967         addc    r9,r9,r11
1968         addze   r10,r10
1969         addc    r9,r9,r12
1970         addze   r12,r10
1971         $ST     r9,0(r3)
1972
1973 Lppcasm_maw_adios:
1974         addi    r3,r12,0
1975         blr
1976         .long   0x00000000
1977         .align  4
1978 EOF
1979 $data =~ s/\`([^\`]*)\`/eval $1/gem;
1980 print $data;
1981 close STDOUT;