Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 1 | // This file is generated from a similarly-named Perl script in the BoringSSL |
| 2 | // source tree. Do not edit by hand. |
| 3 | |
| 4 | #if !defined(__has_feature) |
| 5 | #define __has_feature(x) 0 |
| 6 | #endif |
| 7 | #if __has_feature(memory_sanitizer) && !defined(OPENSSL_NO_ASM) |
| 8 | #define OPENSSL_NO_ASM |
| 9 | #endif |
| 10 | |
| 11 | #if !defined(OPENSSL_NO_ASM) |
| 12 | #if defined(BORINGSSL_PREFIX) |
| 13 | #include <boringssl_prefix_symbols_asm.h> |
| 14 | #endif |
Joel Galenson | 96d408b | 2021-06-08 17:53:00 -0700 | [diff] [blame] | 15 | #include <openssl/arm_arch.h> |
| 16 | |
Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 17 | .text |
| 18 | |
| 19 | .globl _bn_mul_mont |
| 20 | .private_extern _bn_mul_mont |
| 21 | |
| 22 | .align 5 |
| 23 | _bn_mul_mont: |
Joel Galenson | 96d408b | 2021-06-08 17:53:00 -0700 | [diff] [blame] | 24 | AARCH64_SIGN_LINK_REGISTER |
Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 25 | tst x5,#7 |
| 26 | b.eq __bn_sqr8x_mont |
| 27 | tst x5,#3 |
| 28 | b.eq __bn_mul4x_mont |
| 29 | Lmul_mont: |
| 30 | stp x29,x30,[sp,#-64]! |
| 31 | add x29,sp,#0 |
| 32 | stp x19,x20,[sp,#16] |
| 33 | stp x21,x22,[sp,#32] |
| 34 | stp x23,x24,[sp,#48] |
| 35 | |
| 36 | ldr x9,[x2],#8 // bp[0] |
| 37 | sub x22,sp,x5,lsl#3 |
| 38 | ldp x7,x8,[x1],#16 // ap[0..1] |
| 39 | lsl x5,x5,#3 |
| 40 | ldr x4,[x4] // *n0 |
| 41 | and x22,x22,#-16 // ABI says so |
| 42 | ldp x13,x14,[x3],#16 // np[0..1] |
| 43 | |
| 44 | mul x6,x7,x9 // ap[0]*bp[0] |
| 45 | sub x21,x5,#16 // j=num-2 |
| 46 | umulh x7,x7,x9 |
| 47 | mul x10,x8,x9 // ap[1]*bp[0] |
| 48 | umulh x11,x8,x9 |
| 49 | |
| 50 | mul x15,x6,x4 // "tp[0]"*n0 |
| 51 | mov sp,x22 // alloca |
| 52 | |
| 53 | // (*) mul x12,x13,x15 // np[0]*m1 |
| 54 | umulh x13,x13,x15 |
| 55 | mul x16,x14,x15 // np[1]*m1 |
| 56 | // (*) adds x12,x12,x6 // discarded |
| 57 | // (*) As for removal of first multiplication and addition |
| 58 | // instructions. The outcome of first addition is |
| 59 | // guaranteed to be zero, which leaves two computationally |
| 60 | // significant outcomes: it either carries or not. Then |
| 61 | // question is when does it carry? Is there alternative |
| 62 | // way to deduce it? If you follow operations, you can |
| 63 | // observe that condition for carry is quite simple: |
| 64 | // x6 being non-zero. So that carry can be calculated |
| 65 | // by adding -1 to x6. That's what next instruction does. |
| 66 | subs xzr,x6,#1 // (*) |
| 67 | umulh x17,x14,x15 |
| 68 | adc x13,x13,xzr |
| 69 | cbz x21,L1st_skip |
| 70 | |
| 71 | L1st: |
| 72 | ldr x8,[x1],#8 |
| 73 | adds x6,x10,x7 |
| 74 | sub x21,x21,#8 // j-- |
| 75 | adc x7,x11,xzr |
| 76 | |
| 77 | ldr x14,[x3],#8 |
| 78 | adds x12,x16,x13 |
| 79 | mul x10,x8,x9 // ap[j]*bp[0] |
| 80 | adc x13,x17,xzr |
| 81 | umulh x11,x8,x9 |
| 82 | |
| 83 | adds x12,x12,x6 |
| 84 | mul x16,x14,x15 // np[j]*m1 |
| 85 | adc x13,x13,xzr |
| 86 | umulh x17,x14,x15 |
| 87 | str x12,[x22],#8 // tp[j-1] |
| 88 | cbnz x21,L1st |
| 89 | |
| 90 | L1st_skip: |
| 91 | adds x6,x10,x7 |
| 92 | sub x1,x1,x5 // rewind x1 |
| 93 | adc x7,x11,xzr |
| 94 | |
| 95 | adds x12,x16,x13 |
| 96 | sub x3,x3,x5 // rewind x3 |
| 97 | adc x13,x17,xzr |
| 98 | |
| 99 | adds x12,x12,x6 |
| 100 | sub x20,x5,#8 // i=num-1 |
| 101 | adcs x13,x13,x7 |
| 102 | |
| 103 | adc x19,xzr,xzr // upmost overflow bit |
| 104 | stp x12,x13,[x22] |
| 105 | |
| 106 | Louter: |
| 107 | ldr x9,[x2],#8 // bp[i] |
| 108 | ldp x7,x8,[x1],#16 |
| 109 | ldr x23,[sp] // tp[0] |
| 110 | add x22,sp,#8 |
| 111 | |
| 112 | mul x6,x7,x9 // ap[0]*bp[i] |
| 113 | sub x21,x5,#16 // j=num-2 |
| 114 | umulh x7,x7,x9 |
| 115 | ldp x13,x14,[x3],#16 |
| 116 | mul x10,x8,x9 // ap[1]*bp[i] |
| 117 | adds x6,x6,x23 |
| 118 | umulh x11,x8,x9 |
| 119 | adc x7,x7,xzr |
| 120 | |
| 121 | mul x15,x6,x4 |
| 122 | sub x20,x20,#8 // i-- |
| 123 | |
| 124 | // (*) mul x12,x13,x15 // np[0]*m1 |
| 125 | umulh x13,x13,x15 |
| 126 | mul x16,x14,x15 // np[1]*m1 |
| 127 | // (*) adds x12,x12,x6 |
| 128 | subs xzr,x6,#1 // (*) |
| 129 | umulh x17,x14,x15 |
| 130 | cbz x21,Linner_skip |
| 131 | |
| 132 | Linner: |
| 133 | ldr x8,[x1],#8 |
| 134 | adc x13,x13,xzr |
| 135 | ldr x23,[x22],#8 // tp[j] |
| 136 | adds x6,x10,x7 |
| 137 | sub x21,x21,#8 // j-- |
| 138 | adc x7,x11,xzr |
| 139 | |
| 140 | adds x12,x16,x13 |
| 141 | ldr x14,[x3],#8 |
| 142 | adc x13,x17,xzr |
| 143 | |
| 144 | mul x10,x8,x9 // ap[j]*bp[i] |
| 145 | adds x6,x6,x23 |
| 146 | umulh x11,x8,x9 |
| 147 | adc x7,x7,xzr |
| 148 | |
| 149 | mul x16,x14,x15 // np[j]*m1 |
| 150 | adds x12,x12,x6 |
| 151 | umulh x17,x14,x15 |
| 152 | str x12,[x22,#-16] // tp[j-1] |
| 153 | cbnz x21,Linner |
| 154 | |
| 155 | Linner_skip: |
| 156 | ldr x23,[x22],#8 // tp[j] |
| 157 | adc x13,x13,xzr |
| 158 | adds x6,x10,x7 |
| 159 | sub x1,x1,x5 // rewind x1 |
| 160 | adc x7,x11,xzr |
| 161 | |
| 162 | adds x12,x16,x13 |
| 163 | sub x3,x3,x5 // rewind x3 |
| 164 | adcs x13,x17,x19 |
| 165 | adc x19,xzr,xzr |
| 166 | |
| 167 | adds x6,x6,x23 |
| 168 | adc x7,x7,xzr |
| 169 | |
| 170 | adds x12,x12,x6 |
| 171 | adcs x13,x13,x7 |
| 172 | adc x19,x19,xzr // upmost overflow bit |
| 173 | stp x12,x13,[x22,#-16] |
| 174 | |
| 175 | cbnz x20,Louter |
| 176 | |
| 177 | // Final step. We see if result is larger than modulus, and |
| 178 | // if it is, subtract the modulus. But comparison implies |
| 179 | // subtraction. So we subtract modulus, see if it borrowed, |
| 180 | // and conditionally copy original value. |
| 181 | ldr x23,[sp] // tp[0] |
| 182 | add x22,sp,#8 |
| 183 | ldr x14,[x3],#8 // np[0] |
| 184 | subs x21,x5,#8 // j=num-1 and clear borrow |
| 185 | mov x1,x0 |
| 186 | Lsub: |
| 187 | sbcs x8,x23,x14 // tp[j]-np[j] |
| 188 | ldr x23,[x22],#8 |
| 189 | sub x21,x21,#8 // j-- |
| 190 | ldr x14,[x3],#8 |
| 191 | str x8,[x1],#8 // rp[j]=tp[j]-np[j] |
| 192 | cbnz x21,Lsub |
| 193 | |
| 194 | sbcs x8,x23,x14 |
| 195 | sbcs x19,x19,xzr // did it borrow? |
| 196 | str x8,[x1],#8 // rp[num-1] |
| 197 | |
| 198 | ldr x23,[sp] // tp[0] |
| 199 | add x22,sp,#8 |
| 200 | ldr x8,[x0],#8 // rp[0] |
| 201 | sub x5,x5,#8 // num-- |
| 202 | nop |
| 203 | Lcond_copy: |
| 204 | sub x5,x5,#8 // num-- |
| 205 | csel x14,x23,x8,lo // did it borrow? |
| 206 | ldr x23,[x22],#8 |
| 207 | ldr x8,[x0],#8 |
| 208 | str xzr,[x22,#-16] // wipe tp |
| 209 | str x14,[x0,#-16] |
| 210 | cbnz x5,Lcond_copy |
| 211 | |
| 212 | csel x14,x23,x8,lo |
| 213 | str xzr,[x22,#-8] // wipe tp |
| 214 | str x14,[x0,#-8] |
| 215 | |
| 216 | ldp x19,x20,[x29,#16] |
| 217 | mov sp,x29 |
| 218 | ldp x21,x22,[x29,#32] |
| 219 | mov x0,#1 |
| 220 | ldp x23,x24,[x29,#48] |
| 221 | ldr x29,[sp],#64 |
Joel Galenson | 96d408b | 2021-06-08 17:53:00 -0700 | [diff] [blame] | 222 | AARCH64_VALIDATE_LINK_REGISTER |
Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 223 | ret |
| 224 | |
| 225 | |
| 226 | .align 5 |
| 227 | __bn_sqr8x_mont: |
Joel Galenson | 96d408b | 2021-06-08 17:53:00 -0700 | [diff] [blame] | 228 | // Not adding AARCH64_SIGN_LINK_REGISTER here because __bn_sqr8x_mont is jumped to |
| 229 | // only from bn_mul_mont which has already signed the return address. |
Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 230 | cmp x1,x2 |
| 231 | b.ne __bn_mul4x_mont |
| 232 | Lsqr8x_mont: |
| 233 | stp x29,x30,[sp,#-128]! |
| 234 | add x29,sp,#0 |
| 235 | stp x19,x20,[sp,#16] |
| 236 | stp x21,x22,[sp,#32] |
| 237 | stp x23,x24,[sp,#48] |
| 238 | stp x25,x26,[sp,#64] |
| 239 | stp x27,x28,[sp,#80] |
| 240 | stp x0,x3,[sp,#96] // offload rp and np |
| 241 | |
| 242 | ldp x6,x7,[x1,#8*0] |
| 243 | ldp x8,x9,[x1,#8*2] |
| 244 | ldp x10,x11,[x1,#8*4] |
| 245 | ldp x12,x13,[x1,#8*6] |
| 246 | |
| 247 | sub x2,sp,x5,lsl#4 |
| 248 | lsl x5,x5,#3 |
| 249 | ldr x4,[x4] // *n0 |
| 250 | mov sp,x2 // alloca |
| 251 | sub x27,x5,#8*8 |
| 252 | b Lsqr8x_zero_start |
| 253 | |
| 254 | Lsqr8x_zero: |
| 255 | sub x27,x27,#8*8 |
| 256 | stp xzr,xzr,[x2,#8*0] |
| 257 | stp xzr,xzr,[x2,#8*2] |
| 258 | stp xzr,xzr,[x2,#8*4] |
| 259 | stp xzr,xzr,[x2,#8*6] |
| 260 | Lsqr8x_zero_start: |
| 261 | stp xzr,xzr,[x2,#8*8] |
| 262 | stp xzr,xzr,[x2,#8*10] |
| 263 | stp xzr,xzr,[x2,#8*12] |
| 264 | stp xzr,xzr,[x2,#8*14] |
| 265 | add x2,x2,#8*16 |
| 266 | cbnz x27,Lsqr8x_zero |
| 267 | |
| 268 | add x3,x1,x5 |
| 269 | add x1,x1,#8*8 |
| 270 | mov x19,xzr |
| 271 | mov x20,xzr |
| 272 | mov x21,xzr |
| 273 | mov x22,xzr |
| 274 | mov x23,xzr |
| 275 | mov x24,xzr |
| 276 | mov x25,xzr |
| 277 | mov x26,xzr |
| 278 | mov x2,sp |
| 279 | str x4,[x29,#112] // offload n0 |
| 280 | |
| 281 | // Multiply everything but a[i]*a[i] |
| 282 | .align 4 |
| 283 | Lsqr8x_outer_loop: |
| 284 | // a[1]a[0] (i) |
| 285 | // a[2]a[0] |
| 286 | // a[3]a[0] |
| 287 | // a[4]a[0] |
| 288 | // a[5]a[0] |
| 289 | // a[6]a[0] |
| 290 | // a[7]a[0] |
| 291 | // a[2]a[1] (ii) |
| 292 | // a[3]a[1] |
| 293 | // a[4]a[1] |
| 294 | // a[5]a[1] |
| 295 | // a[6]a[1] |
| 296 | // a[7]a[1] |
| 297 | // a[3]a[2] (iii) |
| 298 | // a[4]a[2] |
| 299 | // a[5]a[2] |
| 300 | // a[6]a[2] |
| 301 | // a[7]a[2] |
| 302 | // a[4]a[3] (iv) |
| 303 | // a[5]a[3] |
| 304 | // a[6]a[3] |
| 305 | // a[7]a[3] |
| 306 | // a[5]a[4] (v) |
| 307 | // a[6]a[4] |
| 308 | // a[7]a[4] |
| 309 | // a[6]a[5] (vi) |
| 310 | // a[7]a[5] |
| 311 | // a[7]a[6] (vii) |
| 312 | |
| 313 | mul x14,x7,x6 // lo(a[1..7]*a[0]) (i) |
| 314 | mul x15,x8,x6 |
| 315 | mul x16,x9,x6 |
| 316 | mul x17,x10,x6 |
| 317 | adds x20,x20,x14 // t[1]+lo(a[1]*a[0]) |
| 318 | mul x14,x11,x6 |
| 319 | adcs x21,x21,x15 |
| 320 | mul x15,x12,x6 |
| 321 | adcs x22,x22,x16 |
| 322 | mul x16,x13,x6 |
| 323 | adcs x23,x23,x17 |
| 324 | umulh x17,x7,x6 // hi(a[1..7]*a[0]) |
| 325 | adcs x24,x24,x14 |
| 326 | umulh x14,x8,x6 |
| 327 | adcs x25,x25,x15 |
| 328 | umulh x15,x9,x6 |
| 329 | adcs x26,x26,x16 |
| 330 | umulh x16,x10,x6 |
| 331 | stp x19,x20,[x2],#8*2 // t[0..1] |
| 332 | adc x19,xzr,xzr // t[8] |
| 333 | adds x21,x21,x17 // t[2]+lo(a[1]*a[0]) |
| 334 | umulh x17,x11,x6 |
| 335 | adcs x22,x22,x14 |
| 336 | umulh x14,x12,x6 |
| 337 | adcs x23,x23,x15 |
| 338 | umulh x15,x13,x6 |
| 339 | adcs x24,x24,x16 |
| 340 | mul x16,x8,x7 // lo(a[2..7]*a[1]) (ii) |
| 341 | adcs x25,x25,x17 |
| 342 | mul x17,x9,x7 |
| 343 | adcs x26,x26,x14 |
| 344 | mul x14,x10,x7 |
| 345 | adc x19,x19,x15 |
| 346 | |
| 347 | mul x15,x11,x7 |
| 348 | adds x22,x22,x16 |
| 349 | mul x16,x12,x7 |
| 350 | adcs x23,x23,x17 |
| 351 | mul x17,x13,x7 |
| 352 | adcs x24,x24,x14 |
| 353 | umulh x14,x8,x7 // hi(a[2..7]*a[1]) |
| 354 | adcs x25,x25,x15 |
| 355 | umulh x15,x9,x7 |
| 356 | adcs x26,x26,x16 |
| 357 | umulh x16,x10,x7 |
| 358 | adcs x19,x19,x17 |
| 359 | umulh x17,x11,x7 |
| 360 | stp x21,x22,[x2],#8*2 // t[2..3] |
| 361 | adc x20,xzr,xzr // t[9] |
| 362 | adds x23,x23,x14 |
| 363 | umulh x14,x12,x7 |
| 364 | adcs x24,x24,x15 |
| 365 | umulh x15,x13,x7 |
| 366 | adcs x25,x25,x16 |
| 367 | mul x16,x9,x8 // lo(a[3..7]*a[2]) (iii) |
| 368 | adcs x26,x26,x17 |
| 369 | mul x17,x10,x8 |
| 370 | adcs x19,x19,x14 |
| 371 | mul x14,x11,x8 |
| 372 | adc x20,x20,x15 |
| 373 | |
| 374 | mul x15,x12,x8 |
| 375 | adds x24,x24,x16 |
| 376 | mul x16,x13,x8 |
| 377 | adcs x25,x25,x17 |
| 378 | umulh x17,x9,x8 // hi(a[3..7]*a[2]) |
| 379 | adcs x26,x26,x14 |
| 380 | umulh x14,x10,x8 |
| 381 | adcs x19,x19,x15 |
| 382 | umulh x15,x11,x8 |
| 383 | adcs x20,x20,x16 |
| 384 | umulh x16,x12,x8 |
| 385 | stp x23,x24,[x2],#8*2 // t[4..5] |
| 386 | adc x21,xzr,xzr // t[10] |
| 387 | adds x25,x25,x17 |
| 388 | umulh x17,x13,x8 |
| 389 | adcs x26,x26,x14 |
| 390 | mul x14,x10,x9 // lo(a[4..7]*a[3]) (iv) |
| 391 | adcs x19,x19,x15 |
| 392 | mul x15,x11,x9 |
| 393 | adcs x20,x20,x16 |
| 394 | mul x16,x12,x9 |
| 395 | adc x21,x21,x17 |
| 396 | |
| 397 | mul x17,x13,x9 |
| 398 | adds x26,x26,x14 |
| 399 | umulh x14,x10,x9 // hi(a[4..7]*a[3]) |
| 400 | adcs x19,x19,x15 |
| 401 | umulh x15,x11,x9 |
| 402 | adcs x20,x20,x16 |
| 403 | umulh x16,x12,x9 |
| 404 | adcs x21,x21,x17 |
| 405 | umulh x17,x13,x9 |
| 406 | stp x25,x26,[x2],#8*2 // t[6..7] |
| 407 | adc x22,xzr,xzr // t[11] |
| 408 | adds x19,x19,x14 |
| 409 | mul x14,x11,x10 // lo(a[5..7]*a[4]) (v) |
| 410 | adcs x20,x20,x15 |
| 411 | mul x15,x12,x10 |
| 412 | adcs x21,x21,x16 |
| 413 | mul x16,x13,x10 |
| 414 | adc x22,x22,x17 |
| 415 | |
| 416 | umulh x17,x11,x10 // hi(a[5..7]*a[4]) |
| 417 | adds x20,x20,x14 |
| 418 | umulh x14,x12,x10 |
| 419 | adcs x21,x21,x15 |
| 420 | umulh x15,x13,x10 |
| 421 | adcs x22,x22,x16 |
| 422 | mul x16,x12,x11 // lo(a[6..7]*a[5]) (vi) |
| 423 | adc x23,xzr,xzr // t[12] |
| 424 | adds x21,x21,x17 |
| 425 | mul x17,x13,x11 |
| 426 | adcs x22,x22,x14 |
| 427 | umulh x14,x12,x11 // hi(a[6..7]*a[5]) |
| 428 | adc x23,x23,x15 |
| 429 | |
| 430 | umulh x15,x13,x11 |
| 431 | adds x22,x22,x16 |
| 432 | mul x16,x13,x12 // lo(a[7]*a[6]) (vii) |
| 433 | adcs x23,x23,x17 |
| 434 | umulh x17,x13,x12 // hi(a[7]*a[6]) |
| 435 | adc x24,xzr,xzr // t[13] |
| 436 | adds x23,x23,x14 |
| 437 | sub x27,x3,x1 // done yet? |
| 438 | adc x24,x24,x15 |
| 439 | |
| 440 | adds x24,x24,x16 |
| 441 | sub x14,x3,x5 // rewinded ap |
| 442 | adc x25,xzr,xzr // t[14] |
| 443 | add x25,x25,x17 |
| 444 | |
| 445 | cbz x27,Lsqr8x_outer_break |
| 446 | |
| 447 | mov x4,x6 |
| 448 | ldp x6,x7,[x2,#8*0] |
| 449 | ldp x8,x9,[x2,#8*2] |
| 450 | ldp x10,x11,[x2,#8*4] |
| 451 | ldp x12,x13,[x2,#8*6] |
| 452 | adds x19,x19,x6 |
| 453 | adcs x20,x20,x7 |
| 454 | ldp x6,x7,[x1,#8*0] |
| 455 | adcs x21,x21,x8 |
| 456 | adcs x22,x22,x9 |
| 457 | ldp x8,x9,[x1,#8*2] |
| 458 | adcs x23,x23,x10 |
| 459 | adcs x24,x24,x11 |
| 460 | ldp x10,x11,[x1,#8*4] |
| 461 | adcs x25,x25,x12 |
| 462 | mov x0,x1 |
| 463 | adcs x26,xzr,x13 |
| 464 | ldp x12,x13,[x1,#8*6] |
| 465 | add x1,x1,#8*8 |
| 466 | //adc x28,xzr,xzr // moved below |
| 467 | mov x27,#-8*8 |
| 468 | |
| 469 | // a[8]a[0] |
| 470 | // a[9]a[0] |
| 471 | // a[a]a[0] |
| 472 | // a[b]a[0] |
| 473 | // a[c]a[0] |
| 474 | // a[d]a[0] |
| 475 | // a[e]a[0] |
| 476 | // a[f]a[0] |
| 477 | // a[8]a[1] |
| 478 | // a[f]a[1]........................ |
| 479 | // a[8]a[2] |
| 480 | // a[f]a[2]........................ |
| 481 | // a[8]a[3] |
| 482 | // a[f]a[3]........................ |
| 483 | // a[8]a[4] |
| 484 | // a[f]a[4]........................ |
| 485 | // a[8]a[5] |
| 486 | // a[f]a[5]........................ |
| 487 | // a[8]a[6] |
| 488 | // a[f]a[6]........................ |
| 489 | // a[8]a[7] |
| 490 | // a[f]a[7]........................ |
| 491 | Lsqr8x_mul: |
| 492 | mul x14,x6,x4 |
| 493 | adc x28,xzr,xzr // carry bit, modulo-scheduled |
| 494 | mul x15,x7,x4 |
| 495 | add x27,x27,#8 |
| 496 | mul x16,x8,x4 |
| 497 | mul x17,x9,x4 |
| 498 | adds x19,x19,x14 |
| 499 | mul x14,x10,x4 |
| 500 | adcs x20,x20,x15 |
| 501 | mul x15,x11,x4 |
| 502 | adcs x21,x21,x16 |
| 503 | mul x16,x12,x4 |
| 504 | adcs x22,x22,x17 |
| 505 | mul x17,x13,x4 |
| 506 | adcs x23,x23,x14 |
| 507 | umulh x14,x6,x4 |
| 508 | adcs x24,x24,x15 |
| 509 | umulh x15,x7,x4 |
| 510 | adcs x25,x25,x16 |
| 511 | umulh x16,x8,x4 |
| 512 | adcs x26,x26,x17 |
| 513 | umulh x17,x9,x4 |
| 514 | adc x28,x28,xzr |
| 515 | str x19,[x2],#8 |
| 516 | adds x19,x20,x14 |
| 517 | umulh x14,x10,x4 |
| 518 | adcs x20,x21,x15 |
| 519 | umulh x15,x11,x4 |
| 520 | adcs x21,x22,x16 |
| 521 | umulh x16,x12,x4 |
| 522 | adcs x22,x23,x17 |
| 523 | umulh x17,x13,x4 |
| 524 | ldr x4,[x0,x27] |
| 525 | adcs x23,x24,x14 |
| 526 | adcs x24,x25,x15 |
| 527 | adcs x25,x26,x16 |
| 528 | adcs x26,x28,x17 |
| 529 | //adc x28,xzr,xzr // moved above |
| 530 | cbnz x27,Lsqr8x_mul |
| 531 | // note that carry flag is guaranteed |
| 532 | // to be zero at this point |
| 533 | cmp x1,x3 // done yet? |
| 534 | b.eq Lsqr8x_break |
| 535 | |
| 536 | ldp x6,x7,[x2,#8*0] |
| 537 | ldp x8,x9,[x2,#8*2] |
| 538 | ldp x10,x11,[x2,#8*4] |
| 539 | ldp x12,x13,[x2,#8*6] |
| 540 | adds x19,x19,x6 |
| 541 | ldr x4,[x0,#-8*8] |
| 542 | adcs x20,x20,x7 |
| 543 | ldp x6,x7,[x1,#8*0] |
| 544 | adcs x21,x21,x8 |
| 545 | adcs x22,x22,x9 |
| 546 | ldp x8,x9,[x1,#8*2] |
| 547 | adcs x23,x23,x10 |
| 548 | adcs x24,x24,x11 |
| 549 | ldp x10,x11,[x1,#8*4] |
| 550 | adcs x25,x25,x12 |
| 551 | mov x27,#-8*8 |
| 552 | adcs x26,x26,x13 |
| 553 | ldp x12,x13,[x1,#8*6] |
| 554 | add x1,x1,#8*8 |
| 555 | //adc x28,xzr,xzr // moved above |
| 556 | b Lsqr8x_mul |
| 557 | |
| 558 | .align 4 |
| 559 | Lsqr8x_break: |
| 560 | ldp x6,x7,[x0,#8*0] |
| 561 | add x1,x0,#8*8 |
| 562 | ldp x8,x9,[x0,#8*2] |
| 563 | sub x14,x3,x1 // is it last iteration? |
| 564 | ldp x10,x11,[x0,#8*4] |
| 565 | sub x15,x2,x14 |
| 566 | ldp x12,x13,[x0,#8*6] |
| 567 | cbz x14,Lsqr8x_outer_loop |
| 568 | |
| 569 | stp x19,x20,[x2,#8*0] |
| 570 | ldp x19,x20,[x15,#8*0] |
| 571 | stp x21,x22,[x2,#8*2] |
| 572 | ldp x21,x22,[x15,#8*2] |
| 573 | stp x23,x24,[x2,#8*4] |
| 574 | ldp x23,x24,[x15,#8*4] |
| 575 | stp x25,x26,[x2,#8*6] |
| 576 | mov x2,x15 |
| 577 | ldp x25,x26,[x15,#8*6] |
| 578 | b Lsqr8x_outer_loop |
| 579 | |
| 580 | .align 4 |
| 581 | Lsqr8x_outer_break: |
| 582 | // Now multiply above result by 2 and add a[n-1]*a[n-1]|...|a[0]*a[0] |
| 583 | ldp x7,x9,[x14,#8*0] // recall that x14 is &a[0] |
| 584 | ldp x15,x16,[sp,#8*1] |
| 585 | ldp x11,x13,[x14,#8*2] |
| 586 | add x1,x14,#8*4 |
| 587 | ldp x17,x14,[sp,#8*3] |
| 588 | |
| 589 | stp x19,x20,[x2,#8*0] |
| 590 | mul x19,x7,x7 |
| 591 | stp x21,x22,[x2,#8*2] |
| 592 | umulh x7,x7,x7 |
| 593 | stp x23,x24,[x2,#8*4] |
| 594 | mul x8,x9,x9 |
| 595 | stp x25,x26,[x2,#8*6] |
| 596 | mov x2,sp |
| 597 | umulh x9,x9,x9 |
| 598 | adds x20,x7,x15,lsl#1 |
| 599 | extr x15,x16,x15,#63 |
| 600 | sub x27,x5,#8*4 |
| 601 | |
| 602 | Lsqr4x_shift_n_add: |
| 603 | adcs x21,x8,x15 |
| 604 | extr x16,x17,x16,#63 |
| 605 | sub x27,x27,#8*4 |
| 606 | adcs x22,x9,x16 |
| 607 | ldp x15,x16,[x2,#8*5] |
| 608 | mul x10,x11,x11 |
| 609 | ldp x7,x9,[x1],#8*2 |
| 610 | umulh x11,x11,x11 |
| 611 | mul x12,x13,x13 |
| 612 | umulh x13,x13,x13 |
| 613 | extr x17,x14,x17,#63 |
| 614 | stp x19,x20,[x2,#8*0] |
| 615 | adcs x23,x10,x17 |
| 616 | extr x14,x15,x14,#63 |
| 617 | stp x21,x22,[x2,#8*2] |
| 618 | adcs x24,x11,x14 |
| 619 | ldp x17,x14,[x2,#8*7] |
| 620 | extr x15,x16,x15,#63 |
| 621 | adcs x25,x12,x15 |
| 622 | extr x16,x17,x16,#63 |
| 623 | adcs x26,x13,x16 |
| 624 | ldp x15,x16,[x2,#8*9] |
| 625 | mul x6,x7,x7 |
| 626 | ldp x11,x13,[x1],#8*2 |
| 627 | umulh x7,x7,x7 |
| 628 | mul x8,x9,x9 |
| 629 | umulh x9,x9,x9 |
| 630 | stp x23,x24,[x2,#8*4] |
| 631 | extr x17,x14,x17,#63 |
| 632 | stp x25,x26,[x2,#8*6] |
| 633 | add x2,x2,#8*8 |
| 634 | adcs x19,x6,x17 |
| 635 | extr x14,x15,x14,#63 |
| 636 | adcs x20,x7,x14 |
| 637 | ldp x17,x14,[x2,#8*3] |
| 638 | extr x15,x16,x15,#63 |
| 639 | cbnz x27,Lsqr4x_shift_n_add |
| 640 | ldp x1,x4,[x29,#104] // pull np and n0 |
| 641 | |
| 642 | adcs x21,x8,x15 |
| 643 | extr x16,x17,x16,#63 |
| 644 | adcs x22,x9,x16 |
| 645 | ldp x15,x16,[x2,#8*5] |
| 646 | mul x10,x11,x11 |
| 647 | umulh x11,x11,x11 |
| 648 | stp x19,x20,[x2,#8*0] |
| 649 | mul x12,x13,x13 |
| 650 | umulh x13,x13,x13 |
| 651 | stp x21,x22,[x2,#8*2] |
| 652 | extr x17,x14,x17,#63 |
| 653 | adcs x23,x10,x17 |
| 654 | extr x14,x15,x14,#63 |
| 655 | ldp x19,x20,[sp,#8*0] |
| 656 | adcs x24,x11,x14 |
| 657 | extr x15,x16,x15,#63 |
| 658 | ldp x6,x7,[x1,#8*0] |
| 659 | adcs x25,x12,x15 |
| 660 | extr x16,xzr,x16,#63 |
| 661 | ldp x8,x9,[x1,#8*2] |
| 662 | adc x26,x13,x16 |
| 663 | ldp x10,x11,[x1,#8*4] |
| 664 | |
| 665 | // Reduce by 512 bits per iteration |
| 666 | mul x28,x4,x19 // t[0]*n0 |
| 667 | ldp x12,x13,[x1,#8*6] |
| 668 | add x3,x1,x5 |
| 669 | ldp x21,x22,[sp,#8*2] |
| 670 | stp x23,x24,[x2,#8*4] |
| 671 | ldp x23,x24,[sp,#8*4] |
| 672 | stp x25,x26,[x2,#8*6] |
| 673 | ldp x25,x26,[sp,#8*6] |
| 674 | add x1,x1,#8*8 |
| 675 | mov x30,xzr // initial top-most carry |
| 676 | mov x2,sp |
| 677 | mov x27,#8 |
| 678 | |
| 679 | Lsqr8x_reduction: |
| 680 | // (*) mul x14,x6,x28 // lo(n[0-7])*lo(t[0]*n0) |
| 681 | mul x15,x7,x28 |
| 682 | sub x27,x27,#1 |
| 683 | mul x16,x8,x28 |
| 684 | str x28,[x2],#8 // put aside t[0]*n0 for tail processing |
| 685 | mul x17,x9,x28 |
| 686 | // (*) adds xzr,x19,x14 |
| 687 | subs xzr,x19,#1 // (*) |
| 688 | mul x14,x10,x28 |
| 689 | adcs x19,x20,x15 |
| 690 | mul x15,x11,x28 |
| 691 | adcs x20,x21,x16 |
| 692 | mul x16,x12,x28 |
| 693 | adcs x21,x22,x17 |
| 694 | mul x17,x13,x28 |
| 695 | adcs x22,x23,x14 |
| 696 | umulh x14,x6,x28 // hi(n[0-7])*lo(t[0]*n0) |
| 697 | adcs x23,x24,x15 |
| 698 | umulh x15,x7,x28 |
| 699 | adcs x24,x25,x16 |
| 700 | umulh x16,x8,x28 |
| 701 | adcs x25,x26,x17 |
| 702 | umulh x17,x9,x28 |
| 703 | adc x26,xzr,xzr |
| 704 | adds x19,x19,x14 |
| 705 | umulh x14,x10,x28 |
| 706 | adcs x20,x20,x15 |
| 707 | umulh x15,x11,x28 |
| 708 | adcs x21,x21,x16 |
| 709 | umulh x16,x12,x28 |
| 710 | adcs x22,x22,x17 |
| 711 | umulh x17,x13,x28 |
| 712 | mul x28,x4,x19 // next t[0]*n0 |
| 713 | adcs x23,x23,x14 |
| 714 | adcs x24,x24,x15 |
| 715 | adcs x25,x25,x16 |
| 716 | adc x26,x26,x17 |
| 717 | cbnz x27,Lsqr8x_reduction |
| 718 | |
| 719 | ldp x14,x15,[x2,#8*0] |
| 720 | ldp x16,x17,[x2,#8*2] |
| 721 | mov x0,x2 |
| 722 | sub x27,x3,x1 // done yet? |
| 723 | adds x19,x19,x14 |
| 724 | adcs x20,x20,x15 |
| 725 | ldp x14,x15,[x2,#8*4] |
| 726 | adcs x21,x21,x16 |
| 727 | adcs x22,x22,x17 |
| 728 | ldp x16,x17,[x2,#8*6] |
| 729 | adcs x23,x23,x14 |
| 730 | adcs x24,x24,x15 |
| 731 | adcs x25,x25,x16 |
| 732 | adcs x26,x26,x17 |
| 733 | //adc x28,xzr,xzr // moved below |
| 734 | cbz x27,Lsqr8x8_post_condition |
| 735 | |
| 736 | ldr x4,[x2,#-8*8] |
| 737 | ldp x6,x7,[x1,#8*0] |
| 738 | ldp x8,x9,[x1,#8*2] |
| 739 | ldp x10,x11,[x1,#8*4] |
| 740 | mov x27,#-8*8 |
| 741 | ldp x12,x13,[x1,#8*6] |
| 742 | add x1,x1,#8*8 |
| 743 | |
| 744 | Lsqr8x_tail: |
| 745 | mul x14,x6,x4 |
| 746 | adc x28,xzr,xzr // carry bit, modulo-scheduled |
| 747 | mul x15,x7,x4 |
| 748 | add x27,x27,#8 |
| 749 | mul x16,x8,x4 |
| 750 | mul x17,x9,x4 |
| 751 | adds x19,x19,x14 |
| 752 | mul x14,x10,x4 |
| 753 | adcs x20,x20,x15 |
| 754 | mul x15,x11,x4 |
| 755 | adcs x21,x21,x16 |
| 756 | mul x16,x12,x4 |
| 757 | adcs x22,x22,x17 |
| 758 | mul x17,x13,x4 |
| 759 | adcs x23,x23,x14 |
| 760 | umulh x14,x6,x4 |
| 761 | adcs x24,x24,x15 |
| 762 | umulh x15,x7,x4 |
| 763 | adcs x25,x25,x16 |
| 764 | umulh x16,x8,x4 |
| 765 | adcs x26,x26,x17 |
| 766 | umulh x17,x9,x4 |
| 767 | adc x28,x28,xzr |
| 768 | str x19,[x2],#8 |
| 769 | adds x19,x20,x14 |
| 770 | umulh x14,x10,x4 |
| 771 | adcs x20,x21,x15 |
| 772 | umulh x15,x11,x4 |
| 773 | adcs x21,x22,x16 |
| 774 | umulh x16,x12,x4 |
| 775 | adcs x22,x23,x17 |
| 776 | umulh x17,x13,x4 |
| 777 | ldr x4,[x0,x27] |
| 778 | adcs x23,x24,x14 |
| 779 | adcs x24,x25,x15 |
| 780 | adcs x25,x26,x16 |
| 781 | adcs x26,x28,x17 |
| 782 | //adc x28,xzr,xzr // moved above |
| 783 | cbnz x27,Lsqr8x_tail |
| 784 | // note that carry flag is guaranteed |
| 785 | // to be zero at this point |
| 786 | ldp x6,x7,[x2,#8*0] |
| 787 | sub x27,x3,x1 // done yet? |
| 788 | sub x16,x3,x5 // rewinded np |
| 789 | ldp x8,x9,[x2,#8*2] |
| 790 | ldp x10,x11,[x2,#8*4] |
| 791 | ldp x12,x13,[x2,#8*6] |
| 792 | cbz x27,Lsqr8x_tail_break |
| 793 | |
| 794 | ldr x4,[x0,#-8*8] |
| 795 | adds x19,x19,x6 |
| 796 | adcs x20,x20,x7 |
| 797 | ldp x6,x7,[x1,#8*0] |
| 798 | adcs x21,x21,x8 |
| 799 | adcs x22,x22,x9 |
| 800 | ldp x8,x9,[x1,#8*2] |
| 801 | adcs x23,x23,x10 |
| 802 | adcs x24,x24,x11 |
| 803 | ldp x10,x11,[x1,#8*4] |
| 804 | adcs x25,x25,x12 |
| 805 | mov x27,#-8*8 |
| 806 | adcs x26,x26,x13 |
| 807 | ldp x12,x13,[x1,#8*6] |
| 808 | add x1,x1,#8*8 |
| 809 | //adc x28,xzr,xzr // moved above |
| 810 | b Lsqr8x_tail |
| 811 | |
| 812 | .align 4 |
| 813 | Lsqr8x_tail_break: |
| 814 | ldr x4,[x29,#112] // pull n0 |
| 815 | add x27,x2,#8*8 // end of current t[num] window |
| 816 | |
| 817 | subs xzr,x30,#1 // "move" top-most carry to carry bit |
| 818 | adcs x14,x19,x6 |
| 819 | adcs x15,x20,x7 |
| 820 | ldp x19,x20,[x0,#8*0] |
| 821 | adcs x21,x21,x8 |
| 822 | ldp x6,x7,[x16,#8*0] // recall that x16 is &n[0] |
| 823 | adcs x22,x22,x9 |
| 824 | ldp x8,x9,[x16,#8*2] |
| 825 | adcs x23,x23,x10 |
| 826 | adcs x24,x24,x11 |
| 827 | ldp x10,x11,[x16,#8*4] |
| 828 | adcs x25,x25,x12 |
| 829 | adcs x26,x26,x13 |
| 830 | ldp x12,x13,[x16,#8*6] |
| 831 | add x1,x16,#8*8 |
| 832 | adc x30,xzr,xzr // top-most carry |
| 833 | mul x28,x4,x19 |
| 834 | stp x14,x15,[x2,#8*0] |
| 835 | stp x21,x22,[x2,#8*2] |
| 836 | ldp x21,x22,[x0,#8*2] |
| 837 | stp x23,x24,[x2,#8*4] |
| 838 | ldp x23,x24,[x0,#8*4] |
| 839 | cmp x27,x29 // did we hit the bottom? |
| 840 | stp x25,x26,[x2,#8*6] |
| 841 | mov x2,x0 // slide the window |
| 842 | ldp x25,x26,[x0,#8*6] |
| 843 | mov x27,#8 |
| 844 | b.ne Lsqr8x_reduction |
| 845 | |
| 846 | // Final step. We see if result is larger than modulus, and |
| 847 | // if it is, subtract the modulus. But comparison implies |
| 848 | // subtraction. So we subtract modulus, see if it borrowed, |
| 849 | // and conditionally copy original value. |
| 850 | ldr x0,[x29,#96] // pull rp |
| 851 | add x2,x2,#8*8 |
| 852 | subs x14,x19,x6 |
| 853 | sbcs x15,x20,x7 |
| 854 | sub x27,x5,#8*8 |
| 855 | mov x3,x0 // x0 copy |
| 856 | |
| 857 | Lsqr8x_sub: |
| 858 | sbcs x16,x21,x8 |
| 859 | ldp x6,x7,[x1,#8*0] |
| 860 | sbcs x17,x22,x9 |
| 861 | stp x14,x15,[x0,#8*0] |
| 862 | sbcs x14,x23,x10 |
| 863 | ldp x8,x9,[x1,#8*2] |
| 864 | sbcs x15,x24,x11 |
| 865 | stp x16,x17,[x0,#8*2] |
| 866 | sbcs x16,x25,x12 |
| 867 | ldp x10,x11,[x1,#8*4] |
| 868 | sbcs x17,x26,x13 |
| 869 | ldp x12,x13,[x1,#8*6] |
| 870 | add x1,x1,#8*8 |
| 871 | ldp x19,x20,[x2,#8*0] |
| 872 | sub x27,x27,#8*8 |
| 873 | ldp x21,x22,[x2,#8*2] |
| 874 | ldp x23,x24,[x2,#8*4] |
| 875 | ldp x25,x26,[x2,#8*6] |
| 876 | add x2,x2,#8*8 |
| 877 | stp x14,x15,[x0,#8*4] |
| 878 | sbcs x14,x19,x6 |
| 879 | stp x16,x17,[x0,#8*6] |
| 880 | add x0,x0,#8*8 |
| 881 | sbcs x15,x20,x7 |
| 882 | cbnz x27,Lsqr8x_sub |
| 883 | |
| 884 | sbcs x16,x21,x8 |
| 885 | mov x2,sp |
| 886 | add x1,sp,x5 |
| 887 | ldp x6,x7,[x3,#8*0] |
| 888 | sbcs x17,x22,x9 |
| 889 | stp x14,x15,[x0,#8*0] |
| 890 | sbcs x14,x23,x10 |
| 891 | ldp x8,x9,[x3,#8*2] |
| 892 | sbcs x15,x24,x11 |
| 893 | stp x16,x17,[x0,#8*2] |
| 894 | sbcs x16,x25,x12 |
| 895 | ldp x19,x20,[x1,#8*0] |
| 896 | sbcs x17,x26,x13 |
| 897 | ldp x21,x22,[x1,#8*2] |
| 898 | sbcs xzr,x30,xzr // did it borrow? |
| 899 | ldr x30,[x29,#8] // pull return address |
| 900 | stp x14,x15,[x0,#8*4] |
| 901 | stp x16,x17,[x0,#8*6] |
| 902 | |
| 903 | sub x27,x5,#8*4 |
| 904 | Lsqr4x_cond_copy: |
| 905 | sub x27,x27,#8*4 |
| 906 | csel x14,x19,x6,lo |
| 907 | stp xzr,xzr,[x2,#8*0] |
| 908 | csel x15,x20,x7,lo |
| 909 | ldp x6,x7,[x3,#8*4] |
| 910 | ldp x19,x20,[x1,#8*4] |
| 911 | csel x16,x21,x8,lo |
| 912 | stp xzr,xzr,[x2,#8*2] |
| 913 | add x2,x2,#8*4 |
| 914 | csel x17,x22,x9,lo |
| 915 | ldp x8,x9,[x3,#8*6] |
| 916 | ldp x21,x22,[x1,#8*6] |
| 917 | add x1,x1,#8*4 |
| 918 | stp x14,x15,[x3,#8*0] |
| 919 | stp x16,x17,[x3,#8*2] |
| 920 | add x3,x3,#8*4 |
| 921 | stp xzr,xzr,[x1,#8*0] |
| 922 | stp xzr,xzr,[x1,#8*2] |
| 923 | cbnz x27,Lsqr4x_cond_copy |
| 924 | |
| 925 | csel x14,x19,x6,lo |
| 926 | stp xzr,xzr,[x2,#8*0] |
| 927 | csel x15,x20,x7,lo |
| 928 | stp xzr,xzr,[x2,#8*2] |
| 929 | csel x16,x21,x8,lo |
| 930 | csel x17,x22,x9,lo |
| 931 | stp x14,x15,[x3,#8*0] |
| 932 | stp x16,x17,[x3,#8*2] |
| 933 | |
| 934 | b Lsqr8x_done |
| 935 | |
| 936 | .align 4 |
| 937 | Lsqr8x8_post_condition: |
| 938 | adc x28,xzr,xzr |
| 939 | ldr x30,[x29,#8] // pull return address |
| 940 | // x19-7,x28 hold result, x6-7 hold modulus |
| 941 | subs x6,x19,x6 |
| 942 | ldr x1,[x29,#96] // pull rp |
| 943 | sbcs x7,x20,x7 |
| 944 | stp xzr,xzr,[sp,#8*0] |
| 945 | sbcs x8,x21,x8 |
| 946 | stp xzr,xzr,[sp,#8*2] |
| 947 | sbcs x9,x22,x9 |
| 948 | stp xzr,xzr,[sp,#8*4] |
| 949 | sbcs x10,x23,x10 |
| 950 | stp xzr,xzr,[sp,#8*6] |
| 951 | sbcs x11,x24,x11 |
| 952 | stp xzr,xzr,[sp,#8*8] |
| 953 | sbcs x12,x25,x12 |
| 954 | stp xzr,xzr,[sp,#8*10] |
| 955 | sbcs x13,x26,x13 |
| 956 | stp xzr,xzr,[sp,#8*12] |
| 957 | sbcs x28,x28,xzr // did it borrow? |
| 958 | stp xzr,xzr,[sp,#8*14] |
| 959 | |
| 960 | // x6-7 hold result-modulus |
| 961 | csel x6,x19,x6,lo |
| 962 | csel x7,x20,x7,lo |
| 963 | csel x8,x21,x8,lo |
| 964 | csel x9,x22,x9,lo |
| 965 | stp x6,x7,[x1,#8*0] |
| 966 | csel x10,x23,x10,lo |
| 967 | csel x11,x24,x11,lo |
| 968 | stp x8,x9,[x1,#8*2] |
| 969 | csel x12,x25,x12,lo |
| 970 | csel x13,x26,x13,lo |
| 971 | stp x10,x11,[x1,#8*4] |
| 972 | stp x12,x13,[x1,#8*6] |
| 973 | |
| 974 | Lsqr8x_done: |
| 975 | ldp x19,x20,[x29,#16] |
| 976 | mov sp,x29 |
| 977 | ldp x21,x22,[x29,#32] |
| 978 | mov x0,#1 |
| 979 | ldp x23,x24,[x29,#48] |
| 980 | ldp x25,x26,[x29,#64] |
| 981 | ldp x27,x28,[x29,#80] |
| 982 | ldr x29,[sp],#128 |
Joel Galenson | 96d408b | 2021-06-08 17:53:00 -0700 | [diff] [blame] | 983 | // x30 is popped earlier |
| 984 | AARCH64_VALIDATE_LINK_REGISTER |
Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 985 | ret |
| 986 | |
| 987 | |
| 988 | .align 5 |
| 989 | __bn_mul4x_mont: |
Joel Galenson | 96d408b | 2021-06-08 17:53:00 -0700 | [diff] [blame] | 990 | // Not adding AARCH64_SIGN_LINK_REGISTER here because __bn_mul4x_mont is jumped to |
| 991 | // only from bn_mul_mont or __bn_mul8x_mont which have already signed the |
| 992 | // return address. |
Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 993 | stp x29,x30,[sp,#-128]! |
| 994 | add x29,sp,#0 |
| 995 | stp x19,x20,[sp,#16] |
| 996 | stp x21,x22,[sp,#32] |
| 997 | stp x23,x24,[sp,#48] |
| 998 | stp x25,x26,[sp,#64] |
| 999 | stp x27,x28,[sp,#80] |
| 1000 | |
| 1001 | sub x26,sp,x5,lsl#3 |
| 1002 | lsl x5,x5,#3 |
| 1003 | ldr x4,[x4] // *n0 |
| 1004 | sub sp,x26,#8*4 // alloca |
| 1005 | |
| 1006 | add x10,x2,x5 |
| 1007 | add x27,x1,x5 |
| 1008 | stp x0,x10,[x29,#96] // offload rp and &b[num] |
| 1009 | |
| 1010 | ldr x24,[x2,#8*0] // b[0] |
| 1011 | ldp x6,x7,[x1,#8*0] // a[0..3] |
| 1012 | ldp x8,x9,[x1,#8*2] |
| 1013 | add x1,x1,#8*4 |
| 1014 | mov x19,xzr |
| 1015 | mov x20,xzr |
| 1016 | mov x21,xzr |
| 1017 | mov x22,xzr |
| 1018 | ldp x14,x15,[x3,#8*0] // n[0..3] |
| 1019 | ldp x16,x17,[x3,#8*2] |
| 1020 | adds x3,x3,#8*4 // clear carry bit |
| 1021 | mov x0,xzr |
| 1022 | mov x28,#0 |
| 1023 | mov x26,sp |
| 1024 | |
| 1025 | Loop_mul4x_1st_reduction: |
| 1026 | mul x10,x6,x24 // lo(a[0..3]*b[0]) |
| 1027 | adc x0,x0,xzr // modulo-scheduled |
| 1028 | mul x11,x7,x24 |
| 1029 | add x28,x28,#8 |
| 1030 | mul x12,x8,x24 |
| 1031 | and x28,x28,#31 |
| 1032 | mul x13,x9,x24 |
| 1033 | adds x19,x19,x10 |
| 1034 | umulh x10,x6,x24 // hi(a[0..3]*b[0]) |
| 1035 | adcs x20,x20,x11 |
| 1036 | mul x25,x19,x4 // t[0]*n0 |
| 1037 | adcs x21,x21,x12 |
| 1038 | umulh x11,x7,x24 |
| 1039 | adcs x22,x22,x13 |
| 1040 | umulh x12,x8,x24 |
| 1041 | adc x23,xzr,xzr |
| 1042 | umulh x13,x9,x24 |
| 1043 | ldr x24,[x2,x28] // next b[i] (or b[0]) |
| 1044 | adds x20,x20,x10 |
| 1045 | // (*) mul x10,x14,x25 // lo(n[0..3]*t[0]*n0) |
| 1046 | str x25,[x26],#8 // put aside t[0]*n0 for tail processing |
| 1047 | adcs x21,x21,x11 |
| 1048 | mul x11,x15,x25 |
| 1049 | adcs x22,x22,x12 |
| 1050 | mul x12,x16,x25 |
| 1051 | adc x23,x23,x13 // can't overflow |
| 1052 | mul x13,x17,x25 |
| 1053 | // (*) adds xzr,x19,x10 |
| 1054 | subs xzr,x19,#1 // (*) |
| 1055 | umulh x10,x14,x25 // hi(n[0..3]*t[0]*n0) |
| 1056 | adcs x19,x20,x11 |
| 1057 | umulh x11,x15,x25 |
| 1058 | adcs x20,x21,x12 |
| 1059 | umulh x12,x16,x25 |
| 1060 | adcs x21,x22,x13 |
| 1061 | umulh x13,x17,x25 |
| 1062 | adcs x22,x23,x0 |
| 1063 | adc x0,xzr,xzr |
| 1064 | adds x19,x19,x10 |
| 1065 | sub x10,x27,x1 |
| 1066 | adcs x20,x20,x11 |
| 1067 | adcs x21,x21,x12 |
| 1068 | adcs x22,x22,x13 |
| 1069 | //adc x0,x0,xzr |
| 1070 | cbnz x28,Loop_mul4x_1st_reduction |
| 1071 | |
| 1072 | cbz x10,Lmul4x4_post_condition |
| 1073 | |
| 1074 | ldp x6,x7,[x1,#8*0] // a[4..7] |
| 1075 | ldp x8,x9,[x1,#8*2] |
| 1076 | add x1,x1,#8*4 |
| 1077 | ldr x25,[sp] // a[0]*n0 |
| 1078 | ldp x14,x15,[x3,#8*0] // n[4..7] |
| 1079 | ldp x16,x17,[x3,#8*2] |
| 1080 | add x3,x3,#8*4 |
| 1081 | |
| 1082 | Loop_mul4x_1st_tail: |
| 1083 | mul x10,x6,x24 // lo(a[4..7]*b[i]) |
| 1084 | adc x0,x0,xzr // modulo-scheduled |
| 1085 | mul x11,x7,x24 |
| 1086 | add x28,x28,#8 |
| 1087 | mul x12,x8,x24 |
| 1088 | and x28,x28,#31 |
| 1089 | mul x13,x9,x24 |
| 1090 | adds x19,x19,x10 |
| 1091 | umulh x10,x6,x24 // hi(a[4..7]*b[i]) |
| 1092 | adcs x20,x20,x11 |
| 1093 | umulh x11,x7,x24 |
| 1094 | adcs x21,x21,x12 |
| 1095 | umulh x12,x8,x24 |
| 1096 | adcs x22,x22,x13 |
| 1097 | umulh x13,x9,x24 |
| 1098 | adc x23,xzr,xzr |
| 1099 | ldr x24,[x2,x28] // next b[i] (or b[0]) |
| 1100 | adds x20,x20,x10 |
| 1101 | mul x10,x14,x25 // lo(n[4..7]*a[0]*n0) |
| 1102 | adcs x21,x21,x11 |
| 1103 | mul x11,x15,x25 |
| 1104 | adcs x22,x22,x12 |
| 1105 | mul x12,x16,x25 |
| 1106 | adc x23,x23,x13 // can't overflow |
| 1107 | mul x13,x17,x25 |
| 1108 | adds x19,x19,x10 |
| 1109 | umulh x10,x14,x25 // hi(n[4..7]*a[0]*n0) |
| 1110 | adcs x20,x20,x11 |
| 1111 | umulh x11,x15,x25 |
| 1112 | adcs x21,x21,x12 |
| 1113 | umulh x12,x16,x25 |
| 1114 | adcs x22,x22,x13 |
| 1115 | adcs x23,x23,x0 |
| 1116 | umulh x13,x17,x25 |
| 1117 | adc x0,xzr,xzr |
| 1118 | ldr x25,[sp,x28] // next t[0]*n0 |
| 1119 | str x19,[x26],#8 // result!!! |
| 1120 | adds x19,x20,x10 |
| 1121 | sub x10,x27,x1 // done yet? |
| 1122 | adcs x20,x21,x11 |
| 1123 | adcs x21,x22,x12 |
| 1124 | adcs x22,x23,x13 |
| 1125 | //adc x0,x0,xzr |
| 1126 | cbnz x28,Loop_mul4x_1st_tail |
| 1127 | |
| 1128 | sub x11,x27,x5 // rewinded x1 |
| 1129 | cbz x10,Lmul4x_proceed |
| 1130 | |
| 1131 | ldp x6,x7,[x1,#8*0] |
| 1132 | ldp x8,x9,[x1,#8*2] |
| 1133 | add x1,x1,#8*4 |
| 1134 | ldp x14,x15,[x3,#8*0] |
| 1135 | ldp x16,x17,[x3,#8*2] |
| 1136 | add x3,x3,#8*4 |
| 1137 | b Loop_mul4x_1st_tail |
| 1138 | |
| 1139 | .align 5 |
| 1140 | Lmul4x_proceed: |
| 1141 | ldr x24,[x2,#8*4]! // *++b |
| 1142 | adc x30,x0,xzr |
| 1143 | ldp x6,x7,[x11,#8*0] // a[0..3] |
| 1144 | sub x3,x3,x5 // rewind np |
| 1145 | ldp x8,x9,[x11,#8*2] |
| 1146 | add x1,x11,#8*4 |
| 1147 | |
| 1148 | stp x19,x20,[x26,#8*0] // result!!! |
| 1149 | ldp x19,x20,[sp,#8*4] // t[0..3] |
| 1150 | stp x21,x22,[x26,#8*2] // result!!! |
| 1151 | ldp x21,x22,[sp,#8*6] |
| 1152 | |
| 1153 | ldp x14,x15,[x3,#8*0] // n[0..3] |
| 1154 | mov x26,sp |
| 1155 | ldp x16,x17,[x3,#8*2] |
| 1156 | adds x3,x3,#8*4 // clear carry bit |
| 1157 | mov x0,xzr |
| 1158 | |
| 1159 | .align 4 |
| 1160 | Loop_mul4x_reduction: |
| 1161 | mul x10,x6,x24 // lo(a[0..3]*b[4]) |
| 1162 | adc x0,x0,xzr // modulo-scheduled |
| 1163 | mul x11,x7,x24 |
| 1164 | add x28,x28,#8 |
| 1165 | mul x12,x8,x24 |
| 1166 | and x28,x28,#31 |
| 1167 | mul x13,x9,x24 |
| 1168 | adds x19,x19,x10 |
| 1169 | umulh x10,x6,x24 // hi(a[0..3]*b[4]) |
| 1170 | adcs x20,x20,x11 |
| 1171 | mul x25,x19,x4 // t[0]*n0 |
| 1172 | adcs x21,x21,x12 |
| 1173 | umulh x11,x7,x24 |
| 1174 | adcs x22,x22,x13 |
| 1175 | umulh x12,x8,x24 |
| 1176 | adc x23,xzr,xzr |
| 1177 | umulh x13,x9,x24 |
| 1178 | ldr x24,[x2,x28] // next b[i] |
| 1179 | adds x20,x20,x10 |
| 1180 | // (*) mul x10,x14,x25 |
| 1181 | str x25,[x26],#8 // put aside t[0]*n0 for tail processing |
| 1182 | adcs x21,x21,x11 |
| 1183 | mul x11,x15,x25 // lo(n[0..3]*t[0]*n0 |
| 1184 | adcs x22,x22,x12 |
| 1185 | mul x12,x16,x25 |
| 1186 | adc x23,x23,x13 // can't overflow |
| 1187 | mul x13,x17,x25 |
| 1188 | // (*) adds xzr,x19,x10 |
| 1189 | subs xzr,x19,#1 // (*) |
| 1190 | umulh x10,x14,x25 // hi(n[0..3]*t[0]*n0 |
| 1191 | adcs x19,x20,x11 |
| 1192 | umulh x11,x15,x25 |
| 1193 | adcs x20,x21,x12 |
| 1194 | umulh x12,x16,x25 |
| 1195 | adcs x21,x22,x13 |
| 1196 | umulh x13,x17,x25 |
| 1197 | adcs x22,x23,x0 |
| 1198 | adc x0,xzr,xzr |
| 1199 | adds x19,x19,x10 |
| 1200 | adcs x20,x20,x11 |
| 1201 | adcs x21,x21,x12 |
| 1202 | adcs x22,x22,x13 |
| 1203 | //adc x0,x0,xzr |
| 1204 | cbnz x28,Loop_mul4x_reduction |
| 1205 | |
| 1206 | adc x0,x0,xzr |
| 1207 | ldp x10,x11,[x26,#8*4] // t[4..7] |
| 1208 | ldp x12,x13,[x26,#8*6] |
| 1209 | ldp x6,x7,[x1,#8*0] // a[4..7] |
| 1210 | ldp x8,x9,[x1,#8*2] |
| 1211 | add x1,x1,#8*4 |
| 1212 | adds x19,x19,x10 |
| 1213 | adcs x20,x20,x11 |
| 1214 | adcs x21,x21,x12 |
| 1215 | adcs x22,x22,x13 |
| 1216 | //adc x0,x0,xzr |
| 1217 | |
| 1218 | ldr x25,[sp] // t[0]*n0 |
| 1219 | ldp x14,x15,[x3,#8*0] // n[4..7] |
| 1220 | ldp x16,x17,[x3,#8*2] |
| 1221 | add x3,x3,#8*4 |
| 1222 | |
| 1223 | .align 4 |
| 1224 | Loop_mul4x_tail: |
| 1225 | mul x10,x6,x24 // lo(a[4..7]*b[4]) |
| 1226 | adc x0,x0,xzr // modulo-scheduled |
| 1227 | mul x11,x7,x24 |
| 1228 | add x28,x28,#8 |
| 1229 | mul x12,x8,x24 |
| 1230 | and x28,x28,#31 |
| 1231 | mul x13,x9,x24 |
| 1232 | adds x19,x19,x10 |
| 1233 | umulh x10,x6,x24 // hi(a[4..7]*b[4]) |
| 1234 | adcs x20,x20,x11 |
| 1235 | umulh x11,x7,x24 |
| 1236 | adcs x21,x21,x12 |
| 1237 | umulh x12,x8,x24 |
| 1238 | adcs x22,x22,x13 |
| 1239 | umulh x13,x9,x24 |
| 1240 | adc x23,xzr,xzr |
| 1241 | ldr x24,[x2,x28] // next b[i] |
| 1242 | adds x20,x20,x10 |
| 1243 | mul x10,x14,x25 // lo(n[4..7]*t[0]*n0) |
| 1244 | adcs x21,x21,x11 |
| 1245 | mul x11,x15,x25 |
| 1246 | adcs x22,x22,x12 |
| 1247 | mul x12,x16,x25 |
| 1248 | adc x23,x23,x13 // can't overflow |
| 1249 | mul x13,x17,x25 |
| 1250 | adds x19,x19,x10 |
| 1251 | umulh x10,x14,x25 // hi(n[4..7]*t[0]*n0) |
| 1252 | adcs x20,x20,x11 |
| 1253 | umulh x11,x15,x25 |
| 1254 | adcs x21,x21,x12 |
| 1255 | umulh x12,x16,x25 |
| 1256 | adcs x22,x22,x13 |
| 1257 | umulh x13,x17,x25 |
| 1258 | adcs x23,x23,x0 |
| 1259 | ldr x25,[sp,x28] // next a[0]*n0 |
| 1260 | adc x0,xzr,xzr |
| 1261 | str x19,[x26],#8 // result!!! |
| 1262 | adds x19,x20,x10 |
| 1263 | sub x10,x27,x1 // done yet? |
| 1264 | adcs x20,x21,x11 |
| 1265 | adcs x21,x22,x12 |
| 1266 | adcs x22,x23,x13 |
| 1267 | //adc x0,x0,xzr |
| 1268 | cbnz x28,Loop_mul4x_tail |
| 1269 | |
| 1270 | sub x11,x3,x5 // rewinded np? |
| 1271 | adc x0,x0,xzr |
| 1272 | cbz x10,Loop_mul4x_break |
| 1273 | |
| 1274 | ldp x10,x11,[x26,#8*4] |
| 1275 | ldp x12,x13,[x26,#8*6] |
| 1276 | ldp x6,x7,[x1,#8*0] |
| 1277 | ldp x8,x9,[x1,#8*2] |
| 1278 | add x1,x1,#8*4 |
| 1279 | adds x19,x19,x10 |
| 1280 | adcs x20,x20,x11 |
| 1281 | adcs x21,x21,x12 |
| 1282 | adcs x22,x22,x13 |
| 1283 | //adc x0,x0,xzr |
| 1284 | ldp x14,x15,[x3,#8*0] |
| 1285 | ldp x16,x17,[x3,#8*2] |
| 1286 | add x3,x3,#8*4 |
| 1287 | b Loop_mul4x_tail |
| 1288 | |
| 1289 | .align 4 |
| 1290 | Loop_mul4x_break: |
| 1291 | ldp x12,x13,[x29,#96] // pull rp and &b[num] |
| 1292 | adds x19,x19,x30 |
| 1293 | add x2,x2,#8*4 // bp++ |
| 1294 | adcs x20,x20,xzr |
| 1295 | sub x1,x1,x5 // rewind ap |
| 1296 | adcs x21,x21,xzr |
| 1297 | stp x19,x20,[x26,#8*0] // result!!! |
| 1298 | adcs x22,x22,xzr |
| 1299 | ldp x19,x20,[sp,#8*4] // t[0..3] |
| 1300 | adc x30,x0,xzr |
| 1301 | stp x21,x22,[x26,#8*2] // result!!! |
| 1302 | cmp x2,x13 // done yet? |
| 1303 | ldp x21,x22,[sp,#8*6] |
| 1304 | ldp x14,x15,[x11,#8*0] // n[0..3] |
| 1305 | ldp x16,x17,[x11,#8*2] |
| 1306 | add x3,x11,#8*4 |
| 1307 | b.eq Lmul4x_post |
| 1308 | |
| 1309 | ldr x24,[x2] |
| 1310 | ldp x6,x7,[x1,#8*0] // a[0..3] |
| 1311 | ldp x8,x9,[x1,#8*2] |
| 1312 | adds x1,x1,#8*4 // clear carry bit |
| 1313 | mov x0,xzr |
| 1314 | mov x26,sp |
| 1315 | b Loop_mul4x_reduction |
| 1316 | |
| 1317 | .align 4 |
| 1318 | Lmul4x_post: |
| 1319 | // Final step. We see if result is larger than modulus, and |
| 1320 | // if it is, subtract the modulus. But comparison implies |
| 1321 | // subtraction. So we subtract modulus, see if it borrowed, |
| 1322 | // and conditionally copy original value. |
| 1323 | mov x0,x12 |
| 1324 | mov x27,x12 // x0 copy |
| 1325 | subs x10,x19,x14 |
| 1326 | add x26,sp,#8*8 |
| 1327 | sbcs x11,x20,x15 |
| 1328 | sub x28,x5,#8*4 |
| 1329 | |
| 1330 | Lmul4x_sub: |
| 1331 | sbcs x12,x21,x16 |
| 1332 | ldp x14,x15,[x3,#8*0] |
| 1333 | sub x28,x28,#8*4 |
| 1334 | ldp x19,x20,[x26,#8*0] |
| 1335 | sbcs x13,x22,x17 |
| 1336 | ldp x16,x17,[x3,#8*2] |
| 1337 | add x3,x3,#8*4 |
| 1338 | ldp x21,x22,[x26,#8*2] |
| 1339 | add x26,x26,#8*4 |
| 1340 | stp x10,x11,[x0,#8*0] |
| 1341 | sbcs x10,x19,x14 |
| 1342 | stp x12,x13,[x0,#8*2] |
| 1343 | add x0,x0,#8*4 |
| 1344 | sbcs x11,x20,x15 |
| 1345 | cbnz x28,Lmul4x_sub |
| 1346 | |
| 1347 | sbcs x12,x21,x16 |
| 1348 | mov x26,sp |
| 1349 | add x1,sp,#8*4 |
| 1350 | ldp x6,x7,[x27,#8*0] |
| 1351 | sbcs x13,x22,x17 |
| 1352 | stp x10,x11,[x0,#8*0] |
| 1353 | ldp x8,x9,[x27,#8*2] |
| 1354 | stp x12,x13,[x0,#8*2] |
| 1355 | ldp x19,x20,[x1,#8*0] |
| 1356 | ldp x21,x22,[x1,#8*2] |
| 1357 | sbcs xzr,x30,xzr // did it borrow? |
| 1358 | ldr x30,[x29,#8] // pull return address |
| 1359 | |
| 1360 | sub x28,x5,#8*4 |
| 1361 | Lmul4x_cond_copy: |
| 1362 | sub x28,x28,#8*4 |
| 1363 | csel x10,x19,x6,lo |
| 1364 | stp xzr,xzr,[x26,#8*0] |
| 1365 | csel x11,x20,x7,lo |
| 1366 | ldp x6,x7,[x27,#8*4] |
| 1367 | ldp x19,x20,[x1,#8*4] |
| 1368 | csel x12,x21,x8,lo |
| 1369 | stp xzr,xzr,[x26,#8*2] |
| 1370 | add x26,x26,#8*4 |
| 1371 | csel x13,x22,x9,lo |
| 1372 | ldp x8,x9,[x27,#8*6] |
| 1373 | ldp x21,x22,[x1,#8*6] |
| 1374 | add x1,x1,#8*4 |
| 1375 | stp x10,x11,[x27,#8*0] |
| 1376 | stp x12,x13,[x27,#8*2] |
| 1377 | add x27,x27,#8*4 |
| 1378 | cbnz x28,Lmul4x_cond_copy |
| 1379 | |
| 1380 | csel x10,x19,x6,lo |
| 1381 | stp xzr,xzr,[x26,#8*0] |
| 1382 | csel x11,x20,x7,lo |
| 1383 | stp xzr,xzr,[x26,#8*2] |
| 1384 | csel x12,x21,x8,lo |
| 1385 | stp xzr,xzr,[x26,#8*3] |
| 1386 | csel x13,x22,x9,lo |
| 1387 | stp xzr,xzr,[x26,#8*4] |
| 1388 | stp x10,x11,[x27,#8*0] |
| 1389 | stp x12,x13,[x27,#8*2] |
| 1390 | |
| 1391 | b Lmul4x_done |
| 1392 | |
| 1393 | .align 4 |
| 1394 | Lmul4x4_post_condition: |
| 1395 | adc x0,x0,xzr |
| 1396 | ldr x1,[x29,#96] // pull rp |
| 1397 | // x19-3,x0 hold result, x14-7 hold modulus |
| 1398 | subs x6,x19,x14 |
| 1399 | ldr x30,[x29,#8] // pull return address |
| 1400 | sbcs x7,x20,x15 |
| 1401 | stp xzr,xzr,[sp,#8*0] |
| 1402 | sbcs x8,x21,x16 |
| 1403 | stp xzr,xzr,[sp,#8*2] |
| 1404 | sbcs x9,x22,x17 |
| 1405 | stp xzr,xzr,[sp,#8*4] |
| 1406 | sbcs xzr,x0,xzr // did it borrow? |
| 1407 | stp xzr,xzr,[sp,#8*6] |
| 1408 | |
| 1409 | // x6-3 hold result-modulus |
| 1410 | csel x6,x19,x6,lo |
| 1411 | csel x7,x20,x7,lo |
| 1412 | csel x8,x21,x8,lo |
| 1413 | csel x9,x22,x9,lo |
| 1414 | stp x6,x7,[x1,#8*0] |
| 1415 | stp x8,x9,[x1,#8*2] |
| 1416 | |
| 1417 | Lmul4x_done: |
| 1418 | ldp x19,x20,[x29,#16] |
| 1419 | mov sp,x29 |
| 1420 | ldp x21,x22,[x29,#32] |
| 1421 | mov x0,#1 |
| 1422 | ldp x23,x24,[x29,#48] |
| 1423 | ldp x25,x26,[x29,#64] |
| 1424 | ldp x27,x28,[x29,#80] |
| 1425 | ldr x29,[sp],#128 |
Joel Galenson | 96d408b | 2021-06-08 17:53:00 -0700 | [diff] [blame] | 1426 | // x30 is popped earlier |
| 1427 | AARCH64_VALIDATE_LINK_REGISTER |
Jeff Vander Stoep | 2bbaf7e | 2020-12-04 14:00:07 +0100 | [diff] [blame] | 1428 | ret |
| 1429 | |
| 1430 | .byte 77,111,110,116,103,111,109,101,114,121,32,77,117,108,116,105,112,108,105,99,97,116,105,111,110,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0 |
| 1431 | .align 2 |
| 1432 | .align 4 |
| 1433 | #endif // !OPENSSL_NO_ASM |