Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 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\@openssl.org>" |
| 324 | ___ |
| 325 | |
| 326 | print $code; |
| 327 | close STDOUT; |