OLD | NEW |
(Empty) | |
| 1 #!/usr/bin/env perl |
| 2 # |
| 3 # ==================================================================== |
| 4 # Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL |
| 5 # project. The module is, however, dual licensed under OpenSSL and |
| 6 # CRYPTOGAMS licenses depending on where you obtain it. For further |
| 7 # details see http://www.openssl.org/~appro/cryptogams/. |
| 8 # ==================================================================== |
| 9 |
| 10 # This module doesn't present direct interest for OpenSSL, because it |
| 11 # doesn't provide better performance for longer keys. While 512-bit |
| 12 # RSA private key operations are 40% faster, 1024-bit ones are hardly |
| 13 # faster at all, while longer key operations are slower by up to 20%. |
| 14 # It might be of interest to embedded system developers though, as |
| 15 # it's smaller than 1KB, yet offers ~3x improvement over compiler |
| 16 # generated code. |
| 17 # |
| 18 # The module targets N32 and N64 MIPS ABIs and currently is a bit |
| 19 # IRIX-centric, i.e. is likely to require adaptation for other OSes. |
| 20 |
| 21 # int bn_mul_mont( |
| 22 $rp="a0"; # BN_ULONG *rp, |
| 23 $ap="a1"; # const BN_ULONG *ap, |
| 24 $bp="a2"; # const BN_ULONG *bp, |
| 25 $np="a3"; # const BN_ULONG *np, |
| 26 $n0="a4"; # const BN_ULONG *n0, |
| 27 $num="a5"; # int num); |
| 28 |
| 29 $lo0="a6"; |
| 30 $hi0="a7"; |
| 31 $lo1="v0"; |
| 32 $hi1="v1"; |
| 33 $aj="t0"; |
| 34 $bi="t1"; |
| 35 $nj="t2"; |
| 36 $tp="t3"; |
| 37 $alo="s0"; |
| 38 $ahi="s1"; |
| 39 $nlo="s2"; |
| 40 $nhi="s3"; |
| 41 $tj="s4"; |
| 42 $i="s5"; |
| 43 $j="s6"; |
| 44 $fp="t8"; |
| 45 $m1="t9"; |
| 46 |
| 47 $FRAME=8*(2+8); |
| 48 |
| 49 $code=<<___; |
| 50 #include <asm.h> |
| 51 #include <regdef.h> |
| 52 |
| 53 .text |
| 54 |
| 55 .set noat |
| 56 .set reorder |
| 57 |
| 58 .align 5 |
| 59 .globl bn_mul_mont |
| 60 .ent bn_mul_mont |
| 61 bn_mul_mont: |
| 62 .set noreorder |
| 63 PTR_SUB sp,64 |
| 64 move $fp,sp |
| 65 .frame $fp,64,ra |
| 66 slt AT,$num,4 |
| 67 li v0,0 |
| 68 beqzl AT,.Lproceed |
| 69 nop |
| 70 jr ra |
| 71 PTR_ADD sp,$fp,64 |
| 72 .set reorder |
| 73 .align 5 |
| 74 .Lproceed: |
| 75 ld $n0,0($n0) |
| 76 ld $bi,0($bp) # bp[0] |
| 77 ld $aj,0($ap) # ap[0] |
| 78 ld $nj,0($np) # np[0] |
| 79 PTR_SUB sp,16 # place for two extra words |
| 80 sll $num,3 |
| 81 li AT,-4096 |
| 82 PTR_SUB sp,$num |
| 83 and sp,AT |
| 84 |
| 85 sd s0,0($fp) |
| 86 sd s1,8($fp) |
| 87 sd s2,16($fp) |
| 88 sd s3,24($fp) |
| 89 sd s4,32($fp) |
| 90 sd s5,40($fp) |
| 91 sd s6,48($fp) |
| 92 sd s7,56($fp) |
| 93 |
| 94 dmultu $aj,$bi |
| 95 ld $alo,8($ap) |
| 96 ld $nlo,8($np) |
| 97 mflo $lo0 |
| 98 mfhi $hi0 |
| 99 dmultu $lo0,$n0 |
| 100 mflo $m1 |
| 101 |
| 102 dmultu $alo,$bi |
| 103 mflo $alo |
| 104 mfhi $ahi |
| 105 |
| 106 dmultu $nj,$m1 |
| 107 mflo $lo1 |
| 108 mfhi $hi1 |
| 109 dmultu $nlo,$m1 |
| 110 daddu $lo1,$lo0 |
| 111 sltu AT,$lo1,$lo0 |
| 112 daddu $hi1,AT |
| 113 mflo $nlo |
| 114 mfhi $nhi |
| 115 |
| 116 move $tp,sp |
| 117 li $j,16 |
| 118 .align 4 |
| 119 .L1st: |
| 120 .set noreorder |
| 121 PTR_ADD $aj,$ap,$j |
| 122 ld $aj,($aj) |
| 123 PTR_ADD $nj,$np,$j |
| 124 ld $nj,($nj) |
| 125 |
| 126 dmultu $aj,$bi |
| 127 daddu $lo0,$alo,$hi0 |
| 128 daddu $lo1,$nlo,$hi1 |
| 129 sltu AT,$lo0,$hi0 |
| 130 sltu s7,$lo1,$hi1 |
| 131 daddu $hi0,$ahi,AT |
| 132 daddu $hi1,$nhi,s7 |
| 133 mflo $alo |
| 134 mfhi $ahi |
| 135 |
| 136 daddu $lo1,$lo0 |
| 137 sltu AT,$lo1,$lo0 |
| 138 dmultu $nj,$m1 |
| 139 daddu $hi1,AT |
| 140 addu $j,8 |
| 141 sd $lo1,($tp) |
| 142 sltu s7,$j,$num |
| 143 mflo $nlo |
| 144 mfhi $nhi |
| 145 |
| 146 bnez s7,.L1st |
| 147 PTR_ADD $tp,8 |
| 148 .set reorder |
| 149 |
| 150 daddu $lo0,$alo,$hi0 |
| 151 sltu AT,$lo0,$hi0 |
| 152 daddu $hi0,$ahi,AT |
| 153 |
| 154 daddu $lo1,$nlo,$hi1 |
| 155 sltu s7,$lo1,$hi1 |
| 156 daddu $hi1,$nhi,s7 |
| 157 daddu $lo1,$lo0 |
| 158 sltu AT,$lo1,$lo0 |
| 159 daddu $hi1,AT |
| 160 |
| 161 sd $lo1,($tp) |
| 162 |
| 163 daddu $hi1,$hi0 |
| 164 sltu AT,$hi1,$hi0 |
| 165 sd $hi1,8($tp) |
| 166 sd AT,16($tp) |
| 167 |
| 168 li $i,8 |
| 169 .align 4 |
| 170 .Louter: |
| 171 PTR_ADD $bi,$bp,$i |
| 172 ld $bi,($bi) |
| 173 ld $aj,($ap) |
| 174 ld $alo,8($ap) |
| 175 ld $tj,(sp) |
| 176 |
| 177 dmultu $aj,$bi |
| 178 ld $nj,($np) |
| 179 ld $nlo,8($np) |
| 180 mflo $lo0 |
| 181 mfhi $hi0 |
| 182 daddu $lo0,$tj |
| 183 dmultu $lo0,$n0 |
| 184 sltu AT,$lo0,$tj |
| 185 daddu $hi0,AT |
| 186 mflo $m1 |
| 187 |
| 188 dmultu $alo,$bi |
| 189 mflo $alo |
| 190 mfhi $ahi |
| 191 |
| 192 dmultu $nj,$m1 |
| 193 mflo $lo1 |
| 194 mfhi $hi1 |
| 195 |
| 196 dmultu $nlo,$m1 |
| 197 daddu $lo1,$lo0 |
| 198 sltu AT,$lo1,$lo0 |
| 199 daddu $hi1,AT |
| 200 mflo $nlo |
| 201 mfhi $nhi |
| 202 |
| 203 move $tp,sp |
| 204 li $j,16 |
| 205 ld $tj,8($tp) |
| 206 .align 4 |
| 207 .Linner: |
| 208 .set noreorder |
| 209 PTR_ADD $aj,$ap,$j |
| 210 ld $aj,($aj) |
| 211 PTR_ADD $nj,$np,$j |
| 212 ld $nj,($nj) |
| 213 |
| 214 dmultu $aj,$bi |
| 215 daddu $lo0,$alo,$hi0 |
| 216 daddu $lo1,$nlo,$hi1 |
| 217 sltu AT,$lo0,$hi0 |
| 218 sltu s7,$lo1,$hi1 |
| 219 daddu $hi0,$ahi,AT |
| 220 daddu $hi1,$nhi,s7 |
| 221 mflo $alo |
| 222 mfhi $ahi |
| 223 |
| 224 daddu $lo0,$tj |
| 225 addu $j,8 |
| 226 dmultu $nj,$m1 |
| 227 sltu AT,$lo0,$tj |
| 228 daddu $lo1,$lo0 |
| 229 daddu $hi0,AT |
| 230 sltu s7,$lo1,$lo0 |
| 231 ld $tj,16($tp) |
| 232 daddu $hi1,s7 |
| 233 sltu AT,$j,$num |
| 234 mflo $nlo |
| 235 mfhi $nhi |
| 236 sd $lo1,($tp) |
| 237 bnez AT,.Linner |
| 238 PTR_ADD $tp,8 |
| 239 .set reorder |
| 240 |
| 241 daddu $lo0,$alo,$hi0 |
| 242 sltu AT,$lo0,$hi0 |
| 243 daddu $hi0,$ahi,AT |
| 244 daddu $lo0,$tj |
| 245 sltu s7,$lo0,$tj |
| 246 daddu $hi0,s7 |
| 247 |
| 248 ld $tj,16($tp) |
| 249 daddu $lo1,$nlo,$hi1 |
| 250 sltu AT,$lo1,$hi1 |
| 251 daddu $hi1,$nhi,AT |
| 252 daddu $lo1,$lo0 |
| 253 sltu s7,$lo1,$lo0 |
| 254 daddu $hi1,s7 |
| 255 sd $lo1,($tp) |
| 256 |
| 257 daddu $lo1,$hi1,$hi0 |
| 258 sltu $hi1,$lo1,$hi0 |
| 259 daddu $lo1,$tj |
| 260 sltu AT,$lo1,$tj |
| 261 daddu $hi1,AT |
| 262 sd $lo1,8($tp) |
| 263 sd $hi1,16($tp) |
| 264 |
| 265 addu $i,8 |
| 266 sltu s7,$i,$num |
| 267 bnez s7,.Louter |
| 268 |
| 269 .set noreorder |
| 270 PTR_ADD $tj,sp,$num # &tp[num] |
| 271 move $tp,sp |
| 272 move $ap,sp |
| 273 li $hi0,0 # clear borrow bit |
| 274 |
| 275 .align 4 |
| 276 .Lsub: ld $lo0,($tp) |
| 277 ld $lo1,($np) |
| 278 PTR_ADD $tp,8 |
| 279 PTR_ADD $np,8 |
| 280 dsubu $lo1,$lo0,$lo1 # tp[i]-np[i] |
| 281 sgtu AT,$lo1,$lo0 |
| 282 dsubu $lo0,$lo1,$hi0 |
| 283 sgtu $hi0,$lo0,$lo1 |
| 284 sd $lo0,($rp) |
| 285 or $hi0,AT |
| 286 sltu AT,$tp,$tj |
| 287 bnez AT,.Lsub |
| 288 PTR_ADD $rp,8 |
| 289 |
| 290 dsubu $hi0,$hi1,$hi0 # handle upmost overflow bit |
| 291 move $tp,sp |
| 292 PTR_SUB $rp,$num # restore rp |
| 293 not $hi1,$hi0 |
| 294 |
| 295 and $ap,$hi0,sp |
| 296 and $bp,$hi1,$rp |
| 297 or $ap,$ap,$bp # ap=borrow?tp:rp |
| 298 |
| 299 .align 4 |
| 300 .Lcopy: ld $aj,($ap) |
| 301 PTR_ADD $ap,8 |
| 302 PTR_ADD $tp,8 |
| 303 sd zero,-8($tp) |
| 304 sltu AT,$tp,$tj |
| 305 sd $aj,($rp) |
| 306 bnez AT,.Lcopy |
| 307 PTR_ADD $rp,8 |
| 308 |
| 309 ld s0,0($fp) |
| 310 ld s1,8($fp) |
| 311 ld s2,16($fp) |
| 312 ld s3,24($fp) |
| 313 ld s4,32($fp) |
| 314 ld s5,40($fp) |
| 315 ld s6,48($fp) |
| 316 ld s7,56($fp) |
| 317 li v0,1 |
| 318 jr ra |
| 319 PTR_ADD sp,$fp,64 |
| 320 .set reorder |
| 321 END(bn_mul_mont) |
| 322 .rdata |
| 323 .asciiz "Montgomery Multiplication for MIPS III/IV, CRYPTOGAMS by <appro\@openss
l.org>" |
| 324 ___ |
| 325 |
| 326 print $code; |
| 327 close STDOUT; |
OLD | NEW |