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1 | /// -*- mode: asm; asm-comment-char: 0 -*- |
2 | ||
3 | ///-------------------------------------------------------------------------- | |
4 | /// Preliminaries. | |
5 | ||
6 | #include <sys/syscall.h> | |
7 | ||
8 | #if defined(__i386__) || defined(__x86_64__) | |
06297a93 MW |
9 | |
10 | .intel_syntax noprefix | |
11 | ||
90c4eee3 MW |
12 | #elif defined(__arm__) |
13 | ||
14 | .macro ret | |
15 | bx r14 | |
16 | .endm | |
17 | ||
18 | .arch armv7-a | |
19 | ||
20 | #elif defined(__aarch64__) | |
21 | ||
22 | .macro cmov rd, rn, cc | |
23 | csel \rd, \rn, \rd, \cc | |
24 | .endm | |
25 | #define _COND(_) \ | |
26 | _(eq) _(ne) _(cs) _(cc) _(vs) _(vc) _(mi) _(pl) \ | |
27 | _(ge) _(lt) _(gt) _(le) _(hi) _(ls) _(al) _(nv) \ | |
28 | _(hs) _(lo) | |
29 | #define _INST(_) \ | |
30 | _(ccmp) _(ccmn) \ | |
31 | _(csel) _(cmov) \ | |
32 | _(csinc) _(cinc) _(cset) \ | |
33 | _(csneg) _(cneg) \ | |
34 | _(csinv) _(cinv) _(csetm) | |
35 | #define _CONDVAR(cc) _definstvar cc; | |
36 | #define _INSTVARS(inst) \ | |
37 | .macro _definstvar cc; \ | |
38 | .macro inst.\cc args:vararg; inst \args, \cc; .endm; \ | |
39 | .endm; \ | |
40 | _COND(_CONDVAR); \ | |
41 | .purgem _definstvar; | |
42 | _INST(_INSTVARS) | |
43 | #undef _COND | |
44 | #undef _INST | |
45 | #undef _CONDVAR | |
46 | #undef _INSTVARS | |
47 | ||
48 | #define CCMP_N 8 | |
49 | #define CCMP_Z 4 | |
50 | #define CCMP_C 2 | |
51 | #define CCMP_V 1 | |
52 | ||
53 | #define CCMP_MI CCMP_N | |
54 | #define CCMP_PL 0 | |
55 | #define CCMP_EQ CCMP_Z | |
56 | #define CCMP_NE 0 | |
57 | #define CCMP_CS CCMP_C | |
58 | #define CCMP_HS CCMP_C | |
59 | #define CCMP_CC 0 | |
60 | #define CCMP_LO 0 | |
61 | #define CCMP_VS CCMP_V | |
62 | #define CCMP_VC 0 | |
63 | #define CCMP_HI CCMP_C | |
64 | #define CCMP_LS 0 | |
65 | #define CCMP_LT CCMP_N | |
66 | #define CCMP_GE 0 | |
67 | #define CCMP_LE CCMP_N | |
68 | #define CCMP_GT 0 | |
69 | ||
70 | #else | |
71 | # error "not supported" | |
72 | #endif | |
06297a93 MW |
73 | |
74 | .macro proc name | |
75 | .globl \name | |
76 | .type \name, STT_FUNC | |
77 | .p2align 4 | |
78 | \name\(): | |
79 | .macro endproc | |
80 | .size \name, . - \name | |
81 | .purgem endproc | |
82 | .endm | |
83 | .endm | |
84 | ||
85 | .macro ch c | |
90c4eee3 MW |
86 | #if defined(__i386__) |
87 | ||
88 | pushf | |
89 | push eax | |
90 | push ebx | |
91 | push ecx | |
92 | push edx | |
93 | push ebp | |
94 | mov ebp, esp | |
95 | and esp, -16 | |
96 | ||
97 | push \c | |
98 | call putchar@plt | |
99 | ||
100 | call get_pc_ebx | |
101 | add ebx, offset _GLOBAL_OFFSET_TABLE | |
102 | mov eax, [ebx + stdout@GOT] | |
103 | mov eax, [eax] | |
104 | call fflush@plt | |
105 | ||
106 | mov esp, ebp | |
107 | pop ebp | |
108 | pop edx | |
109 | pop ecx | |
110 | pop ebx | |
111 | pop eax | |
112 | popf | |
113 | ||
114 | #elif defined(__x86_64__) | |
115 | ||
06297a93 MW |
116 | pushf |
117 | push rax | |
118 | push rcx | |
119 | push rdx | |
120 | push rsi | |
121 | push rdi | |
122 | push r8 | |
123 | push r9 | |
124 | push rbp | |
125 | mov rbp, rsp | |
126 | and rsp, -16 | |
127 | ||
128 | mov rdi, \c | |
129 | call putchar@plt | |
130 | ||
131 | mov rdi, [rip + stdout] | |
132 | call fflush@plt | |
133 | ||
134 | mov rsp, rbp | |
135 | pop rbp | |
136 | pop r9 | |
137 | pop r8 | |
138 | pop rdi | |
139 | pop rsi | |
140 | pop rdx | |
141 | pop rcx | |
142 | pop rax | |
143 | popf | |
90c4eee3 MW |
144 | |
145 | #elif defined(__arm__) | |
146 | ||
147 | stmfd r13!, {r0-r4, r12, r14} | |
148 | ||
149 | mov r4, r13 | |
150 | bic r14, r4, #15 | |
151 | mov r13, r14 | |
152 | ||
153 | mov r0, #\c | |
154 | bl putchar@plt | |
155 | ||
156 | ldr r14, .L$_c$gotoff$\@ | |
157 | .L$_c$gotpc$\@: | |
158 | add r14, pc, r14 | |
159 | b .L$_c$cont$\@ | |
160 | .L$_c$gotoff$\@: | |
161 | .word _GLOBAL_OFFSET_TABLE - .L$_c$gotpc$\@ - 8 | |
162 | .L$_c$cont$\@: | |
163 | bl fflush@plt | |
164 | ||
165 | mov r13, r4 | |
166 | ldmfd r13!, {r0-r4, r12, r14} | |
167 | ||
168 | #elif defined(__aarch64__) | |
169 | ||
170 | sub sp, sp, #20*8 | |
171 | stp x0, x1, [sp, #0] | |
172 | stp x2, x3, [sp, #16] | |
173 | stp x4, x5, [sp, #32] | |
174 | stp x6, x7, [sp, #48] | |
175 | stp x8, x9, [sp, #64] | |
176 | stp x10, x11, [sp, #80] | |
177 | stp x12, x13, [sp, #96] | |
178 | stp x14, x15, [sp, #112] | |
179 | stp x16, x17, [sp, #128] | |
180 | mrs x16, nzcv | |
181 | stp x16, x30, [sp, #144] | |
182 | ||
183 | mov w0, #\c | |
184 | bl putchar | |
185 | adrp x0, :got:stdout | |
186 | ldr x0, [x0, #:got_lo12:stdout] | |
187 | ldr x0, [x0] | |
188 | bl fflush | |
189 | ||
190 | ldp x16, x30, [sp, #144] | |
191 | msr nzcv, x16 | |
192 | ldp x16, x17, [sp, #128] | |
193 | ldp x14, x15, [sp, #112] | |
194 | ldp x12, x13, [sp, #96] | |
195 | ldp x10, x11, [sp, #80] | |
196 | ldp x8, x9, [sp, #64] | |
197 | ldp x6, x7, [sp, #48] | |
198 | ldp x4, x5, [sp, #32] | |
199 | ldp x2, x3, [sp, #16] | |
200 | ldp x0, x1, [sp, #0] | |
201 | add sp, sp, #20*8 | |
202 | ||
203 | #else | |
204 | # error "not supported" | |
205 | #endif | |
06297a93 MW |
206 | .endm |
207 | ||
90c4eee3 MW |
208 | .macro notimpl |
209 | #if defined(__i386__) || defined(__x86_64__) | |
210 | ud2 | |
211 | #elif defined(__arm__) | |
212 | udf | |
213 | #elif defined(__aarch64__) | |
214 | hlt #0 | |
215 | #else | |
216 | # error "not supported" | |
217 | #endif | |
218 | .endm | |
219 | ||
220 | .section .note.GNU-stack, "", %progbits | |
221 | ||
06297a93 MW |
222 | .text |
223 | ||
90c4eee3 MW |
224 | #if defined(__i386__) |
225 | get_pc_ebx: | |
226 | mov ebx, [esp] | |
227 | ret | |
228 | #endif | |
229 | ||
230 | ||
06297a93 MW |
231 | proc call_example |
232 | ||
90c4eee3 MW |
233 | #if defined(__i386__) |
234 | ||
235 | push ebx // ebx | |
236 | push esi // esi, ebx | |
237 | push edi // edi, esi, ebx | |
238 | push ebp // flags, ebp, ..., ebx | |
239 | pushf | |
240 | ||
241 | mov edi, [esp + 4*6] | |
242 | mov esi, [esp + 4*7] | |
243 | push esi // regs, flags, ebp, ..., ebx | |
244 | ||
245 | call get_pc_ebx | |
246 | lea eax, [ebx + 9f - .] | |
247 | push eax // cont, regs, flags, ebp, ..., ebx | |
248 | push edi // func, cont, regs, flags, ebp, ..., ebx | |
249 | ||
250 | mov eax, [esi + 28] | |
251 | pushf | |
252 | pop ecx | |
253 | and eax, 0x0cd5 | |
254 | and ecx, ~0x0cd5 | |
255 | or eax, ecx | |
256 | push eax | |
257 | popf | |
258 | mov eax, [esi + 0] | |
259 | mov ebx, [esi + 4] | |
260 | mov ecx, [esi + 8] | |
261 | mov edx, [esi + 12] | |
262 | mov edi, [esi + 20] | |
263 | mov ebp, [esi + 24] | |
264 | mov esi, [esi + 16] | |
265 | ||
266 | ret // -> func; regs, flags, ebp, ..., ebx | |
267 | ||
268 | 9: pushf // eflags, regs, flags, ebp, ..., ebx | |
269 | push esi // esi, eflags, regs, flags, ebp, ..., ebx | |
270 | mov esi, [esp + 8] | |
271 | mov [esi + 0], eax | |
272 | mov [esi + 4], ebx | |
273 | mov [esi + 8], ecx | |
274 | mov [esi + 12], edx | |
275 | mov [esi + 20], edi | |
276 | mov [esi + 24], ebp | |
277 | pop eax // rflags, regs, flags, ebp, ..., ebx | |
278 | mov [esi + 16], eax | |
279 | pop eax // regs, flags, ebp, ..., ebx | |
280 | mov [esi + 28], eax | |
281 | ||
282 | add esp, 4 // flags, ebp, ..., ebx | |
283 | popf // ebp, ..., ebx | |
284 | pop ebp // ..., ebx | |
285 | pop edi | |
286 | pop esi | |
287 | pop ebx // | |
288 | ret | |
289 | ||
290 | #elif defined(__x86_64__) | |
291 | ||
06297a93 MW |
292 | push rbx // rbx |
293 | push r10 | |
294 | push r11 | |
295 | push r12 | |
296 | push r13 | |
297 | push r14 | |
298 | push r15 | |
299 | push rbp // flags, rbp, ..., rbx | |
300 | pushf | |
301 | ||
302 | push rsi // regs, flags, rbp, ..., rbx | |
303 | ||
304 | lea rax, [rip + 9f] | |
305 | push rax // cont, regs, flags, rbp, ..., rbx | |
306 | push rdi // func, cont, regs, flags, rbp, ..., rbx | |
307 | ||
90c4eee3 | 308 | mov rax, [rsi + 8*15] |
06297a93 MW |
309 | pushf |
310 | pop rcx | |
311 | and rax, 0x0cd5 | |
312 | and rcx, ~0x0cd5 | |
313 | or rax, rcx | |
314 | push rax | |
315 | popf | |
90c4eee3 MW |
316 | mov rax, [rsi + 0] |
317 | mov rbx, [rsi + 8] | |
318 | mov rcx, [rsi + 16] | |
319 | mov rdx, [rsi + 24] | |
320 | mov rdi, [rsi + 40] | |
321 | mov rbp, [rsi + 48] | |
322 | mov r8, [rsi + 56] | |
323 | mov r9, [rsi + 64] | |
324 | mov r10, [rsi + 72] | |
325 | mov r11, [rsi + 80] | |
326 | mov r12, [rsi + 88] | |
327 | mov r13, [rsi + 96] | |
328 | mov r14, [rsi + 104] | |
329 | mov r15, [rsi + 112] | |
330 | mov rsi, [rsi + 32] | |
06297a93 MW |
331 | |
332 | ret // -> func; regs, flags, rbp, ..., rbx | |
333 | ||
334 | 9: pushf // rflags, regs, flags, rbp, ..., rbx | |
335 | push rsi // rsi, rflags, regs, flags, rbp, ..., rbx | |
336 | mov rsi, [rsp + 16] | |
90c4eee3 MW |
337 | mov [rsi + 0], rax |
338 | mov [rsi + 8], rbx | |
339 | mov [rsi + 16], rcx | |
340 | mov [rsi + 24], rdx | |
341 | mov [rsi + 40], rdi | |
342 | mov [rsi + 48], rbp | |
343 | mov [rsi + 56], r8 | |
344 | mov [rsi + 64], r9 | |
345 | mov [rsi + 72], r10 | |
346 | mov [rsi + 80], r11 | |
347 | mov [rsi + 88], r12 | |
348 | mov [rsi + 96], r13 | |
349 | mov [rsi + 104], r14 | |
350 | mov [rsi + 112], r15 | |
06297a93 | 351 | pop rax // rflags, regs, flags, rbp, ..., rbx |
90c4eee3 | 352 | mov [rsi + 32], rax |
06297a93 | 353 | pop rax // regs, flags, rbp, ..., rbx |
90c4eee3 | 354 | mov [rsi + 120], rax |
06297a93 MW |
355 | |
356 | add rsp, 8 // flags, rbp, ..., rbx | |
357 | popf // rbp, ..., rbx | |
358 | pop rbp // ..., rbx | |
359 | pop r15 | |
360 | pop r14 | |
361 | pop r13 | |
362 | pop r12 | |
363 | pop r11 | |
364 | pop r10 | |
365 | pop rbx // | |
366 | ret | |
367 | ||
90c4eee3 MW |
368 | #elif defined(__arm__) |
369 | ||
370 | stmfd r13!, {r0, r1, r4-r11, r14} | |
371 | ldmia r1, {r0-r12, r14} | |
372 | msr cpsr, r14 | |
373 | mov r14, pc | |
374 | ldr pc, [r13], #4 | |
375 | ldr r14, [r13], #4 | |
376 | stmia r14!, {r0-r12} | |
377 | mrs r0, cpsr | |
378 | str r0, [r14] | |
379 | ldmfd r13!, {r4-r11, pc} | |
380 | ||
381 | #elif defined(__aarch64__) | |
382 | ||
f53b158f | 383 | stp x29, x30, [sp, #-14*8]! |
90c4eee3 MW |
384 | mov x29, sp |
385 | stp x19, x20, [sp, #16] | |
386 | stp x21, x22, [sp, #32] | |
387 | stp x23, x24, [sp, #48] | |
388 | stp x25, x26, [sp, #64] | |
389 | stp x27, x28, [sp, #80] | |
390 | str x1, [sp, #96] | |
391 | ||
392 | mov x16, x0 | |
393 | ||
394 | ldr x17, [x1, #128] | |
395 | ldp x14, x15, [x1, #112] | |
396 | ldp x12, x13, [x1, #96] | |
397 | ldp x10, x11, [x1, #80] | |
398 | ldp x8, x9, [x1, #64] | |
399 | ldp x6, x7, [x1, #48] | |
400 | ldp x4, x5, [x1, #32] | |
401 | ldp x2, x3, [x1, #16] | |
402 | ldp x0, x1, [x1, #0] | |
403 | msr nzcv, x17 | |
404 | ||
405 | blr x16 | |
406 | ||
407 | ldr x16, [sp, #96] | |
408 | mrs x17, nzcv | |
409 | str x17, [x16, #128] | |
410 | stp x14, x15, [x16, #112] | |
411 | stp x12, x13, [x16, #96] | |
412 | stp x10, x11, [x16, #80] | |
413 | stp x8, x9, [x16, #64] | |
414 | stp x6, x7, [x16, #48] | |
415 | stp x4, x5, [x16, #32] | |
416 | stp x2, x3, [x16, #16] | |
417 | stp x0, x1, [x16, #0] | |
418 | ||
419 | ldp x19, x20, [sp, #16] | |
420 | ldp x21, x22, [sp, #32] | |
421 | ldp x23, x24, [sp, #48] | |
422 | ldp x25, x26, [sp, #64] | |
423 | ldp x27, x28, [sp, #80] | |
f53b158f | 424 | ldp x29, x30, [sp], #14*8 |
90c4eee3 | 425 | |
02d696c4 MW |
426 | ret |
427 | ||
90c4eee3 MW |
428 | #else |
429 | # error "not supported" | |
430 | #endif | |
431 | ||
06297a93 MW |
432 | endproc |
433 | ||
434 | proc nop | |
435 | ||
436 | ret | |
437 | ||
438 | endproc | |
439 | ||
440 | ///-------------------------------------------------------------------------- | |
90c4eee3 | 441 | /// 0x00--0x0f |
06297a93 MW |
442 | |
443 | proc x00 | |
444 | ||
445 | // clear all 64 bits of extended traditional registers | |
90c4eee3 MW |
446 | |
447 | #if defined(__x86_64__) | |
448 | ||
449 | xor eax, eax // clear rax | |
450 | lea rbx, [0] // rbx -> _|_ | |
06297a93 | 451 | loop . // iterate, decrement rcx until zero |
90c4eee3 MW |
452 | mov rdx, 0 // set rdx = 0 |
453 | and esi, 0 // clear all bits of rsi | |
454 | sub edi, edi // set rdi = edi - edi = 0 | |
06297a93 MW |
455 | push 0 |
456 | pop rbp // pop 0 into rbp | |
457 | ||
90c4eee3 MW |
458 | #elif defined(__i386__) |
459 | ||
460 | xor eax, eax | |
461 | lea ebx, [0] | |
462 | loop . | |
463 | mov edx, 0 | |
464 | and esi, 0 | |
465 | sub edi, edi | |
466 | push 0 | |
467 | pop ebp | |
468 | ||
469 | #elif defined(__arm__) | |
470 | ||
471 | eor r0, r0, r0 | |
472 | rsb r1, r1, r1 | |
473 | 0: subs r2, r2, #1 | |
474 | bne 0b | |
475 | mov r3, #0 | |
476 | and r4, r4, #0 | |
477 | sub r5, r5, r5 | |
478 | ||
479 | #elif defined(__aarch64__) | |
480 | ||
481 | eor w0, w0, w0 | |
482 | mov w1, wzr | |
483 | 0: sub w2, w2, #1 | |
484 | cbnz w2, 0b | |
485 | mov w3, #0 | |
486 | and w4, w4, wzr | |
487 | sub w5, w5, w5 | |
488 | ||
489 | #else | |
490 | notimpl | |
491 | #endif | |
492 | ||
06297a93 MW |
493 | ret |
494 | ||
495 | endproc | |
496 | ||
497 | proc x01 | |
498 | ||
499 | // advance a fibonacci pair by c steps | |
500 | // | |
501 | // on entry, a and d are f_{i+1} and f_i; on exit, they are f_{i+c+1} | |
502 | // and f_{i+c}, where f_{i+1} = f_i + f_{i-1} | |
90c4eee3 MW |
503 | |
504 | #if defined(__x86_64__) | |
505 | ||
06297a93 MW |
506 | 0: xadd rax, rdx // a, d = a + d, a |
507 | // = f_{i+1} + f_i, f_{i+1} | |
508 | // = f_{i+2}, f_{i+1} | |
509 | loop 0b // advance i, decrement c, iterate | |
510 | ||
90c4eee3 MW |
511 | #elif defined(__i386__) |
512 | ||
513 | 0: xadd eax, edx | |
514 | loop 0b | |
515 | ||
516 | #elif defined(__arm__) | |
517 | ||
518 | 0: subs r2, r2, #2 | |
519 | add r3, r3, r0 | |
520 | blo 8f | |
521 | add r0, r0, r3 | |
522 | bhi 0b | |
523 | ||
524 | 8: movne r0, r3 | |
525 | ||
526 | #elif defined(__aarch64__) | |
527 | ||
528 | 0: subs x2, x2, #2 | |
529 | add x3, x3, x0 | |
530 | b.lo 8f | |
531 | add x0, x0, x3 | |
532 | b.hi 0b | |
533 | ||
534 | 8: cmov.ne x0, x3 | |
535 | ||
536 | #else | |
537 | notimpl | |
538 | #endif | |
539 | ||
06297a93 MW |
540 | ret |
541 | ||
542 | endproc | |
543 | ||
544 | proc x02 | |
545 | ||
546 | // boolean canonify a: if a = 0 on entry, leave it zero; otherwise | |
547 | // set a = 1 | |
90c4eee3 MW |
548 | |
549 | #if defined(__x86_64__) | |
550 | ||
06297a93 MW |
551 | neg rax // set cf iff a /= 0 |
552 | sbb rax, rax // a = a - a - cf = -cf | |
553 | neg rax // a = cf | |
554 | ||
90c4eee3 MW |
555 | #elif defined(__i386__) |
556 | ||
557 | neg eax | |
558 | sbb eax, eax | |
559 | neg eax | |
560 | ||
561 | #elif defined(__arm__) | |
562 | ||
563 | movs r1, r0 // the easy way | |
564 | movne r1, #1 // mvnne r1, #1 for mask | |
565 | ||
566 | cmp r0, #1 // clear cf iff a == 0 | |
567 | sbc r2, r0, r0 // c' = a - a - 1 + cf = cf - 1 | |
568 | add r2, r2, #1 // c' = cf | |
569 | ||
570 | sub r3, r0, r0, lsr #1 // d' top bit clear; d' = 0 iff a = 0 | |
571 | rsb r3, r3, #0 // d' top bit set iff a /= 0 | |
572 | mov r3, r3, lsr #31 // asr for mask | |
573 | ||
574 | rsbs r0, r0, #0 | |
575 | sbc r0, r0, r0 | |
576 | rsb r0, r0, #0 | |
577 | ||
578 | #elif defined(__aarch64__) | |
579 | ||
580 | cmp x0, #0 // trivial | |
581 | cset.ne x1 // csetm for mask | |
582 | ||
583 | cmp xzr, x0 // set cf iff a == 0 | |
584 | sbc x2, x0, x0 // c' = a - a - 1 + cf = cf - 1 | |
585 | neg x2, x2 // c' = 1 - cf | |
586 | ||
587 | sub x3, x0, x0, lsr #1 // if a < 2^63 then a' = ceil(d/2) < | |
588 | // 2^63 | |
589 | // if a >= 2^63, write a = 2^63 + t | |
590 | // with t < 2^63; d' = 2^63 - 2^62 + | |
591 | // ceil(t/2) = 2^62 + ceil(t/2), and | |
592 | // ceil(t/2) < 2^62 | |
593 | // anyway d' < 2^63 and d' = 0 iff | |
594 | // a = 0 | |
595 | neg x3, x3 // d' top bit set iff a /= 0 | |
596 | lsr x3, x3, #63 // asr for mask | |
597 | ||
598 | cmp x0, #1 // set cf iff a /= 0 | |
599 | adc x0, xzr, xzr // a' = 0 + 0 + cf = cf | |
600 | ||
601 | #else | |
602 | notimpl | |
603 | #endif | |
604 | ||
06297a93 MW |
605 | ret |
606 | ||
607 | endproc | |
608 | ||
609 | proc x03 | |
610 | ||
611 | // set a = min(a, d) (unsigned); clobber c, d | |
90c4eee3 MW |
612 | |
613 | #if defined(__x86_64__) | |
614 | ||
06297a93 MW |
615 | sub rdx, rax // d' = d - a; set cf if a > d |
616 | sbb rcx, rcx // c = -cf = -[a > d] | |
617 | and rcx, rdx // c = a > d ? d - a : 0 | |
618 | add rax, rcx // a' = a > d ? d : a | |
619 | ||
90c4eee3 MW |
620 | #elif defined(__i386__) |
621 | ||
622 | sub edx, eax | |
623 | sbb ecx, ecx | |
624 | and ecx, edx | |
625 | add eax, ecx | |
626 | ||
627 | #elif defined(__arm__) | |
628 | ||
629 | cmp r0, r3 // the easy way | |
630 | movlo r1, r0 // only needed for out-of-place | |
631 | movhs r1, r3 | |
632 | ||
633 | subs r3, r3, r0 | |
634 | sbc r12, r12, r12 | |
635 | and r12, r12, r3 | |
636 | add r0, r0, r12 | |
637 | ||
638 | #elif defined(__aarch64__) | |
639 | ||
640 | cmp x0, x3 // the easy way | |
641 | csel.lo x1, x0, x3 | |
642 | ||
643 | subs x3, x3, x0 // d' = d - a; set cf if d >= a | |
644 | sbc x16, xzr, xzr // t = -1 + cf = -[a > d] | |
645 | and x16, x16, x3 // t = a > d ? d - a : 0 | |
646 | add x0, x0, x16 // a' = a > d ? d : a | |
647 | ||
648 | #else | |
649 | notimpl | |
650 | #endif | |
651 | ||
06297a93 MW |
652 | ret |
653 | ||
654 | endproc | |
655 | ||
656 | proc x04 | |
657 | ||
658 | // switch case? | |
90c4eee3 MW |
659 | |
660 | #if defined(__x86_64__) | |
661 | ||
662 | // unrelated playing | |
663 | mov ecx, eax | |
664 | mov rbx, -1 | |
665 | mov edx, ecx | |
666 | sub edx, '0' | |
667 | cmp edx, 10 | |
668 | cmovb rbx, rdx | |
669 | or ecx, 0x20 | |
670 | mov edx, ecx | |
671 | sub edx, 'a' | |
672 | sub ecx, 'a' - 10 | |
673 | cmp edx, 6 | |
674 | cmovb rbx, rcx | |
675 | ||
676 | xor al, 0x20 | |
677 | ||
678 | #elif defined(__i386__) | |
679 | ||
680 | // unrelated playing | |
681 | mov ecx, eax | |
682 | mov ebx, -1 | |
683 | mov edx, ecx | |
684 | sub edx, '0' | |
685 | cmp edx, 10 | |
686 | cmovb ebx, edx | |
687 | or ecx, 0x20 | |
688 | mov edx, ecx | |
689 | sub edx, 'a' | |
690 | sub ecx, 'a' - 10 | |
691 | cmp edx, 6 | |
692 | cmovb ebx, ecx | |
693 | ||
06297a93 MW |
694 | xor al, 0x20 |
695 | ||
90c4eee3 MW |
696 | #elif defined(__arm__) |
697 | ||
698 | // unrelated playing | |
699 | mvn r1, #0 | |
700 | sub r12, r0, #'0' | |
701 | cmp r12, #10 | |
702 | movlo r1, r12 | |
703 | orr r12, r0, #0x20 | |
704 | sub r12, r12, #'a' | |
705 | cmp r12, #6 | |
706 | addlo r1, r12, #10 | |
707 | ||
708 | eor r0, r0, #0x20 | |
709 | ||
710 | #elif defined(__aarch64__) | |
711 | ||
712 | // unrelated playing | |
713 | mov x1, #-1 | |
714 | sub w16, w0, #'0' | |
715 | cmp w16, #10 | |
716 | cmov.lo x1, x16 | |
717 | orr w16, w0, #0x20 | |
718 | sub w16, w16, #'a' - 10 | |
719 | cmp w16, #10 | |
720 | ccmp.hs w16, #16, #CCMP_HS | |
721 | cmov.lo x1, x16 | |
722 | ||
723 | eor w0, w0, #0x20 | |
724 | ||
725 | #else | |
726 | notimpl | |
727 | #endif | |
728 | ||
06297a93 MW |
729 | ret |
730 | ||
731 | endproc | |
732 | ||
733 | proc x05 | |
734 | ||
735 | // answer whether 5 <= a </<= 9. | |
90c4eee3 MW |
736 | |
737 | #if defined(__x86_64__) | |
738 | ||
06297a93 MW |
739 | sub rax, 5 // a' = a - 5 |
740 | cmp rax, 4 // is a' - 5 </<= 4? | |
741 | ||
742 | // cc a' a | |
743 | // | |
744 | // z/e a' = 4 a = 9 | |
745 | // nz/ne a' /= 4 a /= 9 | |
746 | // | |
747 | // a/nbe a' > 4 a > 9 or a < 5 | |
748 | // nc/ae/nb a' >= 4 a >= 9 or a < 5 | |
749 | // c/b/nae a' < 4 5 <= a < 9 | |
750 | // be/na a' <= 4 5 <= a <= 9 | |
751 | // | |
752 | // o a' < -2^63 + 4 -2^63 + 5 <= a < -2^63 + 9 | |
753 | // no a' >= -2^63 + 4 a >= -2^63 + 9 or | |
754 | // a < -2^63 + 5 | |
755 | // s -2^63 + 4 <= a' < 4 -2^63 + 9 <= a < 9 | |
756 | // ns a' < -2^63 + 4 or a < -2^63 + 9 or a >= 9 | |
757 | // a' >= 4 | |
758 | // ge/nl a' >= 4 a >= 9 or a < -2^63 + 5 | |
759 | // l/nge a' < 4 -2^63 + 5 <= a < 9 | |
760 | // g/nle a' > 4 a > 9 or a < -2^63 + 5 | |
761 | // le/ng a' <= 4 -2^63 + 5 <= a <= 9 | |
762 | ||
90c4eee3 MW |
763 | #elif defined(__i386__) |
764 | ||
765 | sub eax, 5 | |
766 | cmp eax, 4 | |
767 | ||
768 | #elif defined(__arm__) | |
769 | ||
770 | // i dimly remember having a slick way to do this way back in the | |
771 | // day, but i can't figure it out any more. | |
772 | sub r0, #5 | |
773 | cmp r0, #4 | |
774 | ||
775 | #elif defined(__aarch64__) | |
776 | ||
777 | // literal translation is too obvious | |
778 | cmp x0, #5 | |
779 | ccmp.hs x0, #9, #CCMP_HS | |
780 | ||
781 | #else | |
782 | notimpl | |
783 | #endif | |
784 | ||
06297a93 MW |
785 | ret |
786 | ||
787 | endproc | |
788 | ||
789 | proc x06 | |
790 | ||
791 | // leave a unchanged, but set zf if a = 0, cf if a /= 0, clear of, | |
792 | // set sf to msb(a) | |
90c4eee3 MW |
793 | |
794 | #if defined(__x86_64__) | |
795 | ||
06297a93 MW |
796 | not rax // a' = -a - 1 |
797 | inc rax // a' = -a | |
798 | neg rax // a' = a | |
799 | ||
90c4eee3 MW |
800 | #elif defined(__i386__) |
801 | ||
802 | not eax | |
803 | inc eax | |
804 | neg eax | |
805 | ||
806 | #elif defined(__arm__) | |
807 | ||
808 | mvn r0, r0 | |
809 | add r0, r0, #1 | |
810 | rsbs r0, r0, #0 // cf has opposite sense | |
811 | ||
812 | #elif defined(__aarch64__) | |
813 | ||
814 | mvn x0, x0 | |
815 | add x0, x0, #1 | |
816 | negs x0, x0 // cf has opposite sense | |
817 | ||
818 | #else | |
819 | notimpl | |
820 | #endif | |
821 | ||
06297a93 MW |
822 | ret |
823 | ||
824 | endproc | |
825 | ||
826 | proc x07 | |
827 | ||
828 | // same as before (?) | |
90c4eee3 MW |
829 | |
830 | #if defined(__x86_64__) | |
831 | ||
06297a93 MW |
832 | inc rax // a' = a + 1 |
833 | neg rax // a' = -a - 1 | |
834 | inc rax // a' = -a | |
835 | neg rax // a' = a | |
836 | ||
90c4eee3 MW |
837 | #elif defined(__i386__) |
838 | ||
839 | inc eax | |
840 | neg eax | |
841 | inc eax | |
842 | neg eax | |
843 | ||
844 | #elif defined(__arm__) | |
845 | ||
846 | add r0, r0, #1 | |
847 | rsb r0, r0, #0 | |
848 | add r0, r0, #1 | |
849 | rsbs r0, r0, #0 | |
850 | ||
851 | #elif defined(__aarch64__) | |
852 | ||
853 | add x0, x0, #1 | |
854 | neg x0, x0 | |
855 | add x0, x0, #1 | |
856 | negs x0, x0 // cf has opposite sense | |
857 | ||
858 | #else | |
859 | notimpl | |
860 | #endif | |
861 | ||
06297a93 MW |
862 | ret |
863 | ||
864 | endproc | |
865 | ||
866 | proc x08 | |
867 | ||
868 | // floor((a + d)/2), correctly handling overflow conditions; final cf | |
869 | // is lsb(a + d), probably uninteresting | |
90c4eee3 MW |
870 | |
871 | #if defined(__x86_64__) | |
872 | ||
06297a93 MW |
873 | add rax, rdx // cf || a' = a + d |
874 | rcr rax, 1 // shift 65-bit result right by one | |
875 | // place; lsb moves into carry | |
876 | ||
90c4eee3 MW |
877 | #elif defined(__i386__) |
878 | ||
879 | add eax, edx | |
880 | rcr eax, 1 | |
881 | ||
882 | #elif defined(__arm__) | |
883 | ||
884 | // like the two-instruction a64 version | |
885 | sub r1, r3, r0 | |
886 | add r1, r0, r1, lsr #1 | |
887 | ||
888 | // the slick version, similar to the above | |
889 | adds r0, r0, r3 | |
890 | mov r0, r0, rrx | |
891 | ||
892 | #elif defined(__aarch64__) | |
893 | ||
894 | // a64 lacks a32's rrx. literal translation. | |
895 | adds x1, x0, x3 // cf || a' = a + d | |
896 | adc x16, xzr, xzr // realize cf in extra register | |
897 | extr x1, x16, x1, #1 // shift down one place | |
898 | ||
899 | // two instruction version: clobbers additional register. (if you | |
900 | // wanted the answer in any other register, even overwriting d, then | |
901 | // this is unnecessary.) also depends on d >= a. | |
902 | sub x16, x3, x0 // compute difference | |
903 | add x0, x0, x16, lsr #1 // add half of it (rounded down) | |
904 | ||
905 | #else | |
906 | notimpl | |
907 | #endif | |
908 | ||
06297a93 MW |
909 | ret |
910 | ||
911 | endproc | |
912 | ||
913 | proc x09 | |
914 | ||
915 | // a = a/8, rounded to nearest; i.e., floor(a/8) if a == 0, 1, 2, 3 | |
916 | // (mod 8), or ceil(a/8) if a == 4, 5, 6, 7 (mod 8). | |
90c4eee3 MW |
917 | |
918 | #if defined(__x86_64__) | |
919 | ||
06297a93 MW |
920 | shr rax, 3 // a' = floor(a/8); cf = 1 if a == |
921 | // 4, 5, 6, 7 (mod 8) | |
922 | adc rax, 0 // a' = floor(a/8) + cf | |
923 | ||
90c4eee3 MW |
924 | #elif defined(__i386__) |
925 | ||
926 | shr eax, 3 | |
927 | adc eax, 0 | |
928 | ||
929 | #elif defined(__arm__) | |
930 | ||
931 | movs r0, r0, lsr #3 | |
932 | adc r0, r0, #0 | |
933 | ||
934 | #elif defined(__aarch64__) | |
935 | ||
936 | tst x0, #4 | |
937 | orr x0, xzr, x0, lsr #3 | |
938 | cinc.ne x0, x0 | |
939 | ||
940 | #else | |
941 | notimpl | |
942 | #endif | |
943 | ||
06297a93 MW |
944 | ret |
945 | ||
946 | endproc | |
947 | ||
948 | proc x0a | |
949 | ||
950 | // increment c-byte little-endian bignum at rdi | |
90c4eee3 MW |
951 | |
952 | #if defined(__x86_64__) | |
953 | ||
06297a93 MW |
954 | add byte ptr [rdi], 1 |
955 | 0: inc rdi | |
956 | adc byte ptr [rdi], 0 | |
957 | loop 0b | |
958 | ||
90c4eee3 MW |
959 | #elif defined(__i386__) |
960 | ||
961 | add byte ptr [edi], 1 | |
962 | 0: inc edi | |
963 | adc byte ptr [edi], 0 | |
964 | loop 0b | |
965 | ||
966 | #elif defined(__arm__) | |
967 | ||
968 | mov r12, #256 // set initial carry | |
969 | 0: ldrb r0, [r5] | |
970 | subs r2, r2, #1 | |
971 | add r12, r0, r12, lsr #8 | |
972 | strb r12, [r5], #1 | |
973 | bne 0b | |
974 | ||
975 | #elif defined(__aarch64__) | |
976 | ||
977 | mov w17, #256 // set initial carry | |
978 | 0: ldrb w16, [x5] | |
979 | sub x2, x2, #1 | |
980 | add w17, w16, w17, lsr #8 | |
981 | strb w17, [x5], #1 | |
982 | cbnz x2, 0b | |
983 | ||
984 | #else | |
985 | notimpl | |
986 | #endif | |
987 | ||
06297a93 MW |
988 | ret |
989 | ||
990 | endproc | |
991 | ||
992 | proc x0b | |
993 | ||
994 | // negate double-precision d:a | |
90c4eee3 MW |
995 | |
996 | #if defined(__x86_64__) | |
997 | ||
06297a93 MW |
998 | not rdx // d' = -d - 1 |
999 | neg rax // a' = -a; | |
1000 | // cf = 1 iff a /= 0 | |
1001 | sbb rdx, -1 // d' = -d - cf | |
1002 | ||
90c4eee3 MW |
1003 | #elif defined(__i386__) |
1004 | ||
1005 | not edx | |
1006 | neg eax | |
1007 | sbb edx, -1 | |
1008 | ||
1009 | #elif defined(__arm__) | |
1010 | ||
1011 | // reverse subtract is awesome | |
1012 | rsbs r0, r0, #0 | |
1013 | rsc r3, r3, #0 | |
1014 | ||
1015 | #elif defined(__aarch64__) | |
1016 | ||
1017 | // easy way: everything is better with zero registers. | |
1018 | negs x0, x0 | |
1019 | ngc x3, x3 | |
1020 | ||
1021 | #else | |
1022 | notimpl | |
1023 | #endif | |
1024 | ||
06297a93 MW |
1025 | ret |
1026 | ||
1027 | endproc | |
1028 | ||
1029 | proc x0c | |
1030 | ||
1031 | // rotate is distributive over xor. | |
1032 | ||
90c4eee3 MW |
1033 | #if defined(__x86_64__) |
1034 | ||
06297a93 MW |
1035 | // rax // = a_1 || a_0 |
1036 | // rbx // = b_1 || b_0 | |
1037 | mov rcx, rax // = a_1 || a_0 | |
1038 | ||
1039 | xor rcx, rbx // = (a_1 XOR b_1) || (a_0 XOR b_0) | |
1040 | ror rcx, 0xd // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1041 | ||
1042 | ror rax, 0xd // = a_0 || a_1 | |
1043 | ror rbx, 0xd // = b_0 || b_1 | |
1044 | xor rax, rbx // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1045 | ||
1046 | cmp rax, rcx // always equal | |
1047 | ||
90c4eee3 MW |
1048 | #elif defined(__i386__) |
1049 | ||
1050 | mov ecx, eax // = a_1 || a_0 | |
1051 | ||
1052 | xor ecx, ebx // = (a_1 XOR b_1) || (a_0 XOR b_0) | |
1053 | ror ecx, 0xd // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1054 | ||
1055 | ror eax, 0xd // = a_0 || a_1 | |
1056 | ror ebx, 0xd // = b_0 || b_1 | |
1057 | xor eax, ebx // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1058 | ||
1059 | cmp eax, ecx // always equal | |
1060 | ||
1061 | #elif defined(__arm__) | |
1062 | ||
1063 | ||
1064 | // r0 // = a_1 || a_0 | |
1065 | // r1 // = b_1 || b_0 | |
1066 | eor r2, r0, r1 // = (a_1 XOR b_1) || (a_0 XOR b_0) | |
1067 | mov r2, r2, ror #13 // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1068 | ||
1069 | mov r1, r1, ror #13 // = b_0 || b_1 | |
1070 | eor r0, r1, r0, ror #13 // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1071 | ||
1072 | cmp r0, r2 // always equal | |
1073 | ||
1074 | #elif defined(__aarch64__) | |
1075 | ||
1076 | // x0 // = a_1 || a_0 | |
1077 | // x1 // = b_1 || b_0 | |
1078 | eor x2, x0, x1 // = (a_1 XOR b_1) || (a_0 XOR b_0) | |
1079 | ror x2, x2, #13 // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1080 | ||
1081 | ror x1, x1, #13 // = b_0 || b_1 | |
1082 | eor x0, x1, x0, ror #13 // = (a_0 XOR b_0) || (a_1 XOR b_1) | |
1083 | ||
1084 | cmp x0, x2 // always equal | |
1085 | ||
1086 | #else | |
1087 | notimpl | |
1088 | #endif | |
1089 | ||
06297a93 MW |
1090 | ret |
1091 | ||
1092 | endproc | |
1093 | ||
1094 | proc x0d | |
1095 | ||
1096 | // and is distributive over xor. | |
1097 | ||
90c4eee3 MW |
1098 | #if defined(__x86_64__) |
1099 | ||
06297a93 MW |
1100 | mov rdx, rbx // = b |
1101 | ||
1102 | xor rbx, rcx // = b XOR c | |
1103 | and rbx, rax // = a AND (b XOR c) | |
1104 | ||
1105 | and rdx, rax // = a AND b | |
1106 | and rax, rcx // = a AND c | |
1107 | xor rax, rdx // = (a AND b) XOR (a AND c) | |
1108 | // = a AND (b XOR c) | |
1109 | ||
1110 | cmp rax, rbx // always equal | |
1111 | ||
90c4eee3 MW |
1112 | #elif defined(__i386__) |
1113 | ||
1114 | mov edx, ebx // = b | |
1115 | ||
1116 | xor ebx, ecx // = b XOR c | |
1117 | and ebx, eax // = a AND (b XOR c) | |
1118 | ||
1119 | and edx, eax // = a AND b | |
1120 | and eax, ecx // = a AND c | |
1121 | xor eax, edx // = (a AND b) XOR (a AND c) | |
1122 | // = a AND (b XOR c) | |
1123 | ||
1124 | cmp eax, ebx // always equal | |
1125 | ||
1126 | #elif defined(__arm__) | |
1127 | ||
1128 | and r3, r0, r1 // = a AND b | |
1129 | ||
1130 | eor r1, r1, r2 // = b XOR c | |
1131 | and r1, r1, r0 // = a AND (b XOR c) | |
1132 | ||
1133 | and r0, r0, r2 // = a AND c | |
1134 | eor r0, r0, r3 // = (a AND b) XOR (a AND c) | |
1135 | // = a AND (b XOR c) | |
1136 | ||
1137 | cmp r0, r1 // always equal | |
1138 | ||
1139 | #elif defined(__aarch64__) | |
1140 | ||
1141 | and x3, x0, x1 // = a AND b | |
1142 | ||
1143 | eor x1, x1, x2 // = b XOR c | |
1144 | and x1, x1, x0 // = a AND (b XOR c) | |
1145 | ||
1146 | and x0, x0, x2 // = a AND c | |
1147 | eor x0, x0, x3 // = (a AND b) XOR (a AND c) | |
1148 | // = a AND (b XOR c) | |
1149 | ||
1150 | cmp x0, x1 // always equal | |
1151 | ||
1152 | #else | |
1153 | notimpl | |
1154 | #endif | |
1155 | ||
06297a93 MW |
1156 | ret |
1157 | ||
1158 | endproc | |
1159 | ||
1160 | proc x0e | |
1161 | ||
1162 | // de morgan's law | |
1163 | ||
90c4eee3 MW |
1164 | #if defined(__x86_64__) |
1165 | ||
06297a93 MW |
1166 | mov rcx, rax // = a |
1167 | ||
1168 | and rcx, rbx // = a AND b | |
1169 | not rcx // = NOT (a AND b) | |
1170 | ||
1171 | not rax // = NOT a | |
1172 | not rbx // = NOT b | |
1173 | or rax, rbx // = (NOT a) OR (NOT b) | |
1174 | // = NOT (a AND b) | |
1175 | ||
90c4eee3 MW |
1176 | cmp rax, rcx // always equal |
1177 | ||
1178 | #elif defined(__i386__) | |
1179 | ||
1180 | mov ecx, eax // = a | |
1181 | ||
1182 | and ecx, ebx // = a AND b | |
1183 | not ecx // = NOT (a AND b) | |
1184 | ||
1185 | not eax // = NOT a | |
1186 | not ebx // = NOT b | |
1187 | or eax, ebx // = (NOT a) OR (NOT b) | |
1188 | // = NOT (a AND b) | |
1189 | ||
1190 | cmp eax, ecx // always equal | |
1191 | ||
1192 | #elif defined(__arm__) | |
1193 | ||
1194 | and r2, r0, r1 // = a AND b | |
1195 | mvn r2, r2 // = NOT (a AND b) | |
1196 | ||
1197 | mvn r0, r0 // = NOT a | |
1198 | mvn r1, r1 // = NOT b | |
1199 | orr r0, r0, r1 // = (NOT a) OR (NOT b) | |
1200 | ||
1201 | cmp r0, r2 // always equal | |
1202 | ||
1203 | #elif defined(__aarch64__) | |
1204 | ||
1205 | and x2, x0, x1 // = a AND b | |
1206 | mvn x2, x2 // = NOT (a AND b) | |
1207 | ||
1208 | mvn x0, x0 // = NOT a | |
1209 | orn x0, x0, x1 // = (NOT a) OR (NOT b) | |
1210 | ||
1211 | cmp x0, x2 // always equal | |
1212 | ||
1213 | #else | |
1214 | notimpl | |
1215 | #endif | |
06297a93 MW |
1216 | |
1217 | ret | |
1218 | ||
1219 | endproc | |
1220 | ||
1221 | proc x0f | |
1222 | ||
1223 | // replace input buffer bytes with cumulative XORs with initial a; | |
1224 | // final a is XOR of all buffer bytes and initial a. | |
1225 | // | |
1226 | // not sure why you'd do this. | |
1227 | ||
90c4eee3 | 1228 | #if defined(__x86_64__) |
06297a93 MW |
1229 | |
1230 | 0: xor [rsi], al | |
1231 | lodsb | |
1232 | loop 0b | |
1233 | ||
90c4eee3 MW |
1234 | #elif defined(__i386__) |
1235 | ||
1236 | 0: xor [esi], al | |
1237 | lodsb | |
1238 | loop 0b | |
1239 | ||
1240 | #elif defined(__arm__) | |
1241 | ||
1242 | 0: ldrb r12, [r4] | |
1243 | subs r2, r2, #1 | |
1244 | eor r0, r0, r12 | |
1245 | strb r0, [r4], #1 | |
1246 | bne 0b | |
1247 | ||
1248 | #elif defined(__aarch64__) | |
1249 | ||
1250 | 0: ldrb w16, [x4] | |
1251 | sub x2, x2, #1 | |
1252 | eor w0, w0, w16 | |
1253 | strb w0, [x4], #1 | |
1254 | cbnz x2, 0b | |
1255 | ||
1256 | #else | |
1257 | notimpl | |
1258 | #endif | |
1259 | ||
06297a93 MW |
1260 | ret |
1261 | ||
1262 | endproc | |
1263 | ||
90c4eee3 MW |
1264 | ///-------------------------------------------------------------------------- |
1265 | /// 0x10--0x1f | |
1266 | ||
06297a93 MW |
1267 | proc x10 |
1268 | ||
1269 | // four different ways to swap a pair of registers. | |
1270 | ||
90c4eee3 MW |
1271 | #if defined(__x86_64__) |
1272 | ||
06297a93 MW |
1273 | push rax |
1274 | push rcx | |
1275 | pop rax | |
1276 | pop rcx | |
1277 | ||
1278 | xor rax, rcx | |
1279 | xor rcx, rax | |
1280 | xor rax, rcx | |
1281 | ||
1282 | add rax, rcx | |
1283 | sub rcx, rax | |
1284 | add rax, rcx | |
1285 | neg rcx | |
1286 | ||
1287 | xchg rax, rcx | |
1288 | ||
90c4eee3 MW |
1289 | #elif defined(__i386__) |
1290 | ||
1291 | push eax | |
1292 | push ecx | |
1293 | pop eax | |
1294 | pop ecx | |
1295 | ||
1296 | xor eax, ecx | |
1297 | xor ecx, eax | |
1298 | xor eax, ecx | |
1299 | ||
1300 | add eax, ecx | |
1301 | sub ecx, eax | |
1302 | add eax, ecx | |
1303 | neg ecx | |
1304 | ||
1305 | xchg eax, ecx | |
1306 | ||
1307 | #elif defined(__arm__) | |
1308 | ||
1309 | stmfd r13!, {r0, r2} | |
1310 | ldr r0, [r13, #4] | |
1311 | ldr r2, [r13], #8 | |
1312 | ||
1313 | eor r0, r0, r2 | |
1314 | eor r2, r2, r0 | |
1315 | eor r0, r0, r2 | |
1316 | ||
1317 | sub r0, r0, r2 | |
1318 | add r2, r2, r0 | |
1319 | rsb r0, r0, r2 // don't need 3-addr with reverse-sub | |
1320 | ||
1321 | mov r12, r0 | |
1322 | mov r0, r2 | |
1323 | mov r2, r0 | |
1324 | ||
1325 | #elif defined(__aarch64__) | |
1326 | ||
1327 | // anything you can do | |
1328 | stp x0, x2, [sp, #-16]! | |
1329 | ldp x2, x0, [sp], #16 | |
1330 | ||
1331 | eor x0, x0, x2 | |
1332 | eor x2, x2, x0 | |
1333 | eor x0, x0, x2 | |
1334 | ||
1335 | // the add/sub/add thing was daft. you can do it in three if you're | |
1336 | // clever -- and have three-address operations. | |
1337 | sub x0, x0, x2 | |
1338 | add x2, x2, x0 | |
1339 | sub x0, x2, x0 | |
1340 | ||
1341 | // but we lack a fourth. we can't do this in fewer than three | |
1342 | // instructions without hitting memory. only `ldp' will modify two | |
1343 | // registers at a time, so we need at least two instructions -- but | |
1344 | // if the first one sets one of our two registers to its final value | |
1345 | // then we lose the other input value with no way to recover it, so | |
1346 | // we must either write a fresh third register, or write something | |
1347 | // other than the final value, and in both cases we need a third | |
1348 | // instruction to fix everything up. we've done the wrong-something- | |
1349 | // other trick twice, so here's the captain-obvious use-a-third- | |
1350 | // register version. | |
1351 | mov x16, x0 | |
1352 | mov x0, x2 | |
1353 | mov x2, x16 | |
1354 | ||
1355 | #else | |
1356 | notimpl | |
1357 | #endif | |
1358 | ||
06297a93 MW |
1359 | ret |
1360 | ||
1361 | endproc | |
1362 | ||
1363 | proc x11 | |
1364 | ||
1365 | // assuming a is initialized to zero, set a to the inclusive or of | |
1366 | // the xor-differences of corresponding bytes in the c-byte strings | |
1367 | // at si and di. | |
1368 | // | |
1369 | // in particular, a will be zero (and zf set) if and only if the two | |
1370 | // strings are equal. | |
1371 | ||
90c4eee3 MW |
1372 | #if defined(__x86_64__) |
1373 | ||
06297a93 MW |
1374 | 0: mov dl, [rsi] |
1375 | xor dl, [rdi] | |
1376 | inc rsi | |
1377 | inc rdi | |
1378 | or al, dl | |
1379 | loop 0b | |
1380 | ||
90c4eee3 MW |
1381 | #elif defined(__i386__) |
1382 | ||
1383 | 0: mov dl, [esi] | |
1384 | xor dl, [edi] | |
1385 | inc esi | |
1386 | inc edi | |
1387 | or al, dl | |
1388 | loop 0b | |
1389 | ||
1390 | #elif defined(__arm__) | |
1391 | ||
1392 | 0: ldrb r1, [r4], #1 | |
1393 | ldrb r12, [r5], #1 | |
1394 | subs r2, r2, #1 | |
1395 | eor r12, r12, r1 | |
1396 | orr r0, r0, r12 | |
1397 | bne 0b | |
1398 | ||
1399 | #elif defined(__aarch64__) | |
1400 | ||
1401 | 0: ldrb w16, [x4], #1 | |
1402 | ldrb w17, [x5], #1 | |
1403 | sub x2, x2, #1 | |
1404 | eor w16, w16, w17 | |
1405 | orr w0, w0, w16 | |
1406 | cbnz x2, 0b | |
1407 | ||
1408 | #else | |
1409 | notimpl | |
1410 | #endif | |
1411 | ||
06297a93 MW |
1412 | ret |
1413 | ||
1414 | endproc | |
1415 | ||
1416 | proc x12 | |
1417 | ||
1418 | // an obtuse way of adding two registers. for any bit position, a | |
1419 | // OR d is set if and only if at least one of a and d has a bit set | |
1420 | // in that position, and a AND d is set if and only if both have a | |
1421 | // bit set in that position. essentially, then, what we've done is | |
1422 | // move all of the set bits in d to a, unless there's already a bit | |
1423 | // there. this clearly doesn't change the sum. | |
1424 | ||
90c4eee3 MW |
1425 | #if defined(__x86_64__) |
1426 | ||
06297a93 MW |
1427 | mov rcx, rdx // c' = d |
1428 | and rdx, rax // d' = a AND d | |
1429 | or rax, rcx // a' = a OR d | |
1430 | add rax, rdx | |
1431 | ||
90c4eee3 MW |
1432 | #elif defined(__i386__) |
1433 | ||
1434 | mov ecx, edx // c' = d | |
1435 | and edx, eax // d' = a AND d | |
1436 | or eax, ecx // a' = a OR d | |
1437 | add eax, edx | |
1438 | ||
1439 | #elif defined(__arm__) | |
1440 | ||
1441 | and r2, r0, r3 // c' = a AND d | |
1442 | orr r0, r0, r3 // a' = a OR d | |
1443 | add r0, r0, r2 | |
1444 | ||
1445 | #elif defined(__aarch64__) | |
1446 | ||
1447 | and x2, x0, x3 // c' = a AND d | |
1448 | orr x0, x0, x3 // a' = a OR d | |
1449 | add x0, x0, x2 | |
1450 | ||
1451 | #else | |
1452 | notimpl | |
1453 | #endif | |
1454 | ||
06297a93 MW |
1455 | ret |
1456 | ||
1457 | endproc | |
1458 | ||
1459 | proc x13 | |
1460 | ||
1461 | // ok, so this is a really obtuse way of adding a and b; the result | |
1462 | // is in a and d. but why does it work? | |
1463 | ||
90c4eee3 MW |
1464 | #if defined(__x86_64__) |
1465 | ||
06297a93 MW |
1466 | mov rcx, 0x40 // carry chains at most 64 long |
1467 | 0: mov rdx, rax // copy a' | |
1468 | xor rax, rbx // low bits of each bitwise sum | |
1469 | and rbx, rdx // carry bits from each bitwise sum | |
90c4eee3 MW |
1470 | shl rbx, 1 // carry them into next position |
1471 | loop 0b | |
1472 | ||
1473 | #elif defined(__i386__) | |
1474 | ||
1475 | mov ecx, 0x40 // carry chains at most 64 long | |
1476 | 0: mov edx, eax // copy a' | |
1477 | xor eax, ebx // low bits of each bitwise sum | |
1478 | and ebx, edx // carry bits from each bitwise sum | |
1479 | shl ebx, 1 // carry them into next position | |
06297a93 MW |
1480 | loop 0b |
1481 | ||
90c4eee3 MW |
1482 | #elif defined(__arm__) |
1483 | ||
1484 | mov r2, #0x40 | |
1485 | 0: and r3, r0, r1 | |
1486 | subs r2, r2, #1 | |
1487 | eor r0, r0, r1 | |
1488 | lsl r1, r3, #1 | |
1489 | bne 0b | |
1490 | ||
1491 | #elif defined(__aarch64__) | |
1492 | ||
1493 | mov x2, #0x40 | |
1494 | 0: and x3, x0, x1 | |
1495 | sub x2, x2, #1 | |
1496 | eor x0, x0, x1 | |
1497 | lsl x1, x3, #1 | |
1498 | cbnz x2, 0b | |
1499 | ||
1500 | #else | |
1501 | notimpl | |
1502 | #endif | |
1503 | ||
06297a93 MW |
1504 | ret |
1505 | ||
1506 | endproc | |
1507 | ||
1508 | proc x14 | |
1509 | ||
1510 | // floor((a + d)/2), like x08. | |
1511 | ||
90c4eee3 MW |
1512 | #if defined(__x86_64__) |
1513 | ||
06297a93 MW |
1514 | mov rcx, rax // copy a for later |
1515 | and rcx, rdx // carry bits | |
1516 | ||
1517 | xor rax, rdx // low bits of each bitwise sum | |
1518 | shr rax, 1 // divide by 2; carries now in place | |
1519 | ||
1520 | add rax, rcx // add the carries; done | |
1521 | ||
90c4eee3 MW |
1522 | #elif defined(__i386__) |
1523 | ||
1524 | mov ecx, eax // copy a for later | |
1525 | and ecx, edx // carry bits | |
1526 | ||
1527 | xor eax, edx // low bits of each bitwise sum | |
1528 | shr eax, 1 // divide by 2; carries now in place | |
1529 | ||
1530 | add eax, ecx // add the carries; done | |
1531 | ||
1532 | #elif defined(__arm__) | |
1533 | ||
1534 | and r2, r0, r3 | |
1535 | eor r0, r0, r3 | |
1536 | add r0, r2, r0, lsr #1 | |
1537 | ||
1538 | #elif defined(__aarch64__) | |
1539 | ||
1540 | and x2, x0, x3 | |
1541 | eor x0, x0, x3 | |
1542 | add x0, x2, x0, lsr #1 | |
1543 | ||
1544 | #else | |
1545 | notimpl | |
1546 | #endif | |
1547 | ||
06297a93 MW |
1548 | ret |
1549 | ||
1550 | endproc | |
1551 | ||
1552 | proc x15 | |
1553 | ||
1554 | // sign extension 32 -> 64 bits. | |
1555 | ||
90c4eee3 MW |
1556 | #if defined(__x86_64__) |
1557 | ||
1558 | movsx rbx, eax // like this? | |
06297a93 MW |
1559 | |
1560 | mov rdx, 0xffffffff80000000 | |
1561 | add rax, rdx // if bit 31 of a is set then bits | |
1562 | // 31--63 of a' are clear; otherwise, | |
1563 | // these bits are all set -- which is | |
1564 | // exactly backwards | |
1565 | xor rax, rdx // so fix it | |
1566 | ||
90c4eee3 MW |
1567 | #elif defined(__i386__) |
1568 | ||
1569 | movsx ebx, ax // like this? | |
1570 | ||
1571 | mov edx, 0xffff8000 | |
1572 | add eax, edx // if bit 31 of a is set then bits | |
1573 | // 31--63 of a' are clear; otherwise, | |
1574 | // these bits are all set -- which is | |
1575 | // exactly backwards | |
1576 | xor eax, edx // so fix it | |
1577 | ||
1578 | #elif defined(__arm__) | |
1579 | ||
1580 | sxth r1, r0 // like this | |
1581 | ||
1582 | mov r12, #0x80000000 | |
1583 | add r0, r0, r12, asr #16 | |
1584 | eor r0, r0, r12, asr #16 | |
1585 | ||
1586 | #elif defined(__aarch64__) | |
1587 | ||
1588 | sxtw x1, w0 // like this | |
1589 | ||
1590 | mov x16, #0xffffffff80000000 | |
1591 | add x0, x0, x16 | |
1592 | eor x0, x0, x16 | |
1593 | ||
1594 | #else | |
1595 | notimpl | |
1596 | #endif | |
1597 | ||
06297a93 MW |
1598 | ret |
1599 | ||
1600 | endproc | |
1601 | ||
1602 | proc x16 | |
1603 | ||
90c4eee3 MW |
1604 | // ??? i don't know why you'd want to calculate this. |
1605 | ||
1606 | #if defined(__x86_64__) | |
06297a93 MW |
1607 | |
1608 | xor rax, rbx // a' = a XOR b | |
1609 | xor rbx, rcx // b' = b XOR c | |
1610 | mov rsi, rax // t = a XOR b | |
1611 | add rsi, rbx // t = (a XOR b) + (b XOR c) | |
1612 | cmovc rax, rbx // a' = cf ? b XOR c : a XOR b | |
1613 | xor rax, rbx // a' = cf ? 0 : a XOR c | |
1614 | cmp rax, rsi | |
1615 | ||
90c4eee3 MW |
1616 | #elif defined(__i386__) |
1617 | ||
1618 | xor eax, ebx // a' = a XOR b | |
1619 | xor ebx, ecx // b' = b XOR c | |
1620 | mov esi, eax // t = a XOR b | |
1621 | add esi, ebx // t = (a XOR b) + (b XOR c) | |
1622 | cmovc eax, ebx // a' = cf ? b XOR c : a XOR b | |
1623 | xor eax, ebx // a' = cf ? 0 : a XOR c | |
1624 | cmp eax, esi | |
1625 | ||
1626 | #elif defined(__arm__) | |
1627 | ||
1628 | eor r0, r0, r1 | |
1629 | eor r1, r1, r2 | |
1630 | adds r4, r0, r1 | |
1631 | movcs r0, r1 | |
1632 | eor r0, r0, r1 | |
1633 | cmp r0, r4 | |
1634 | ||
1635 | #elif defined(__aarch64__) | |
1636 | ||
1637 | eor x0, x0, x1 | |
1638 | eor x1, x1, x2 | |
1639 | adds x4, x0, x1 | |
1640 | cmov.cs x0, x1 | |
1641 | eor x0, x0, x1 | |
1642 | cmp x0, x4 | |
1643 | ||
1644 | #else | |
1645 | notimpl | |
1646 | #endif | |
1647 | ||
06297a93 MW |
1648 | ret |
1649 | ||
1650 | endproc | |
1651 | ||
1652 | proc x17 | |
1653 | ||
90c4eee3 MW |
1654 | // absolute value |
1655 | ||
1656 | #if defined(__x86_64__) | |
1657 | ||
1658 | cqo // d = a < 0 ? -1 : 0 | |
1659 | xor rax, rdx // a' = a < 0 ? -a - 1 : a | |
1660 | sub rax, rdx // a' = a < 0 ? -a : a | |
1661 | ||
1662 | #elif defined(__i386__) | |
1663 | ||
1664 | cdq // d = a < 0 ? -1 : 0 | |
1665 | xor eax, edx // a' = a < 0 ? -a - 1 : a | |
1666 | sub eax, edx // a' = a < 0 ? -a : a | |
1667 | ||
1668 | #elif defined(__arm__) | |
1669 | ||
1670 | // direct approach | |
1671 | movs r1, r0 | |
1672 | rsbmi r1, r0, #0 | |
1673 | ||
1674 | // faithful-ish conversion | |
1675 | eor r3, r0, r0, asr #31 | |
1676 | sub r0, r3, r0, asr #31 | |
1677 | ||
1678 | #elif defined(__aarch64__) | |
1679 | ||
1680 | // direct approach | |
1681 | tst x0, #1 << 63 | |
1682 | cneg.ne x1, x0 | |
1683 | ||
1684 | // faithful-ish conversion | |
1685 | eor x3, x0, x0, asr #63 | |
1686 | sub x0, x3, x0, asr #63 | |
1687 | ||
1688 | #else | |
1689 | notimpl | |
1690 | #endif | |
1691 | ||
1692 | ret | |
06297a93 MW |
1693 | |
1694 | endproc | |
1695 | ||
1696 | proc x18 | |
1697 | ||
90c4eee3 MW |
1698 | // should always set sf, clear zf, unless we get rescheduled to a |
1699 | // different core. | |
1700 | ||
1701 | #if defined(__x86_64__) | |
1702 | ||
1703 | rdtsc // d || a = cycles | |
1704 | shl rdx, 0x20 | |
1705 | or rax, rdx // a = cycles | |
1706 | mov rcx, rax // c = cycles | |
1707 | ||
1708 | rdtsc // d || a = cycles' | |
1709 | shl rdx, 0x20 | |
1710 | or rax, rdx // a = cycles' | |
1711 | ||
1712 | cmp rcx, rax | |
1713 | ||
1714 | #elif defined(__i386__) | |
1715 | ||
1716 | rdtsc // d || a = cycles | |
1717 | mov ebx, eax | |
1718 | mov ecx, edx // c || b = cycles | |
1719 | ||
1720 | rdtsc // d || a = cycles' | |
1721 | ||
1722 | sub ebx, eax | |
1723 | sbb ecx, edx | |
1724 | ||
1725 | #elif defined(__arm__) | |
1726 | ||
1727 | // cycle clock not available in user mode | |
1728 | mrrc p15, 0, r0, r1, c9 | |
1729 | mrrc p15, 0, r2, r3, c9 | |
1730 | subs r0, r0, r2 | |
1731 | sbcs r1, r1, r3 | |
1732 | ||
1733 | #elif defined(__aarch64__) | |
1734 | ||
1735 | // cycle clock not available in user mode | |
1736 | mrs x0, pmccntr_el0 | |
1737 | mrs x1, pmccntr_el0 | |
1738 | cmp x0, x1 | |
1739 | ||
1740 | #else | |
1741 | notimpl | |
1742 | #endif | |
1743 | ||
1744 | ret | |
06297a93 MW |
1745 | |
1746 | endproc | |
1747 | ||
1748 | proc x19 | |
1749 | ||
90c4eee3 MW |
1750 | // stupid way to capture a pointer to inline data and jump past it. |
1751 | // confuses the return-address predictor something chronic. worse | |
1752 | // because amd64 calling convention doesn't usually pass arguments on | |
1753 | // the stack. | |
1754 | ||
1755 | #if defined(__x86_64__) | |
1756 | ||
1757 | call 8f | |
1758 | .string "hello world!\n\0" | |
1759 | 8: call print_str | |
1760 | add rsp, 8 | |
1761 | ret | |
1762 | ||
1763 | print_str: | |
1764 | // actually implement this ridiculous thing | |
1765 | mov rsi, [rsp + 8] | |
1766 | xor edx, edx | |
1767 | 0: mov al, [rsi + rdx] | |
1768 | inc rdx | |
1769 | cmp al, 0 | |
1770 | jnz 0b | |
1771 | mov eax, SYS_write | |
1772 | mov edi, 1 | |
1773 | dec rdx | |
1774 | syscall // clobbers r11 :-( | |
1775 | ret | |
1776 | ||
1777 | #elif defined(__i386__) | |
1778 | ||
1779 | call 8f | |
1780 | .string "hello world!\n\0" | |
1781 | 8: call print_str | |
1782 | add esp, 4 | |
1783 | ret | |
1784 | ||
1785 | print_str: | |
1786 | // actually implement this ridiculous thing | |
1787 | mov ecx, [esp + 4] | |
1788 | xor edx, edx | |
1789 | 0: mov al, [ecx + edx] | |
1790 | inc edx | |
1791 | cmp al, 0 | |
1792 | jnz 0b | |
1793 | mov eax, SYS_write | |
1794 | mov ebx, 1 | |
1795 | dec edx | |
1796 | int 0x80 | |
1797 | ret | |
1798 | ||
1799 | #elif defined(__arm__) | |
1800 | ||
1801 | // why am i doing this? | |
1802 | stmfd r13!, {r14} | |
1803 | bl 8f | |
1804 | .string "hello world!\n\0" | |
1805 | .balign 4 | |
1806 | 8: mov r1, r14 // might as well make it easy on myself | |
1807 | bl print_str | |
1808 | ldmfd r13!, {pc} | |
1809 | ||
1810 | print_str: | |
1811 | mov r2, #0 | |
1812 | 0: ldrb r0, [r1, r2] | |
1813 | cmp r0, #0 | |
1814 | addne r2, r2, #1 | |
1815 | bne 0b | |
1816 | mov r0, #1 | |
1817 | mov r7, #SYS_write | |
1818 | swi 0 | |
1819 | bx r14 | |
1820 | ||
1821 | #elif defined(__aarch64__) | |
1822 | ||
1823 | // why am i doing this? | |
1824 | str x30, [sp, #-16]! | |
1825 | bl 8f | |
1826 | .string "hello world!\n\0" | |
1827 | .balign 4 | |
1828 | 8: mov x1, x30 // might as well make it easy on myself | |
1829 | bl print_str | |
1830 | ldr x30, [sp], #16 | |
1831 | ret | |
1832 | ||
1833 | print_str: | |
1834 | mov x2, #0 | |
1835 | 0: ldrb w0, [x1, x2] | |
1836 | cmp w0, #0 | |
1837 | cinc.ne x2, x2 | |
1838 | b.ne 0b | |
1839 | mov x0, #1 | |
1840 | mov x8, #SYS_write | |
1841 | svc #0 | |
1842 | ret | |
1843 | ||
1844 | #else | |
1845 | notimpl | |
1846 | #endif | |
06297a93 MW |
1847 | |
1848 | endproc | |
1849 | ||
1850 | proc x1a | |
1851 | ||
90c4eee3 MW |
1852 | // collect the current instruction-pointer address. this was an old |
1853 | // 32-bit i386 trick for position-independent code, but (a) it | |
1854 | // confuses the return predictor, and (b) amd64 has true pc-relative | |
1855 | // addressing. | |
1856 | ||
1857 | #if defined(__x86_64__) | |
1858 | ||
1859 | // the actual example | |
1860 | call 0f | |
1861 | 0: pop rax | |
1862 | ||
1863 | // the modern i386 trick doesn't confuse the return-address | |
1864 | // predictor. | |
1865 | call calladdr_rbx | |
1866 | sub rbx, . - 0b | |
1867 | ||
1868 | // but rip-relative addressing is even better | |
1869 | lea rcx, [rip + 0b] | |
1870 | ||
1871 | ret | |
1872 | ||
1873 | calladdr_rbx: | |
1874 | mov rbx, [rsp] | |
1875 | ret | |
1876 | ||
1877 | #elif defined(__i386__) | |
1878 | ||
1879 | // the actual example | |
1880 | call 0f | |
1881 | 0: pop eax | |
1882 | ||
1883 | // the modern i386 trick doesn't confuse the return-address | |
1884 | // predictor. | |
1885 | call get_pc_ebx | |
1886 | sub ebx, . - 0b | |
1887 | ||
1888 | ret | |
1889 | ||
1890 | #elif defined(__arm__) | |
1891 | ||
1892 | stmfd r13!, {r14} | |
1893 | ||
1894 | bl 0f | |
1895 | 0: mov r0, r14 | |
1896 | ||
1897 | bl return | |
1898 | sub r1, r14, #. - 0b | |
1899 | ||
1900 | adr r2, 0b | |
1901 | ||
1902 | ldmfd r13!, {pc} | |
1903 | ||
1904 | return: bx r14 | |
1905 | ||
1906 | #elif defined(__aarch64__) | |
1907 | ||
1908 | str x30, [sp, #-16]! | |
1909 | ||
1910 | // we can do all of the above using a64 | |
1911 | bl 0f | |
1912 | 0: mov x0, x30 | |
1913 | ||
1914 | bl return | |
1915 | sub x1, x30, #. - 0b | |
1916 | ||
1917 | adr x2, 0b | |
1918 | ||
1919 | ldr x30, [sp], #16 | |
1920 | return: ret | |
1921 | ||
1922 | #else | |
1923 | notimpl | |
1924 | #endif | |
06297a93 MW |
1925 | |
1926 | endproc | |
1927 | ||
1928 | proc x1b | |
1929 | ||
90c4eee3 MW |
1930 | #if defined(__x86_64__) |
1931 | ||
1932 | // retpolines: an mitigation against adversarially influenced | |
1933 | // speculative execution at indirect branches. if an adversary can | |
1934 | // prepare a branch-target buffer entry matching an indirect branch | |
1935 | // in the victim's address space then they can cause the victim to | |
1936 | // /speculatively/ (but not architecturally) execute any code in | |
1937 | // their address space, possibly leading to leaking secrets through | |
1938 | // the cache. retpolines aren't susceptible to this because the | |
1939 | // predicted destination address is from the return-prediction stack | |
1940 | // which the adversary can't prime. the performance penalty is still | |
1941 | // essentially a branch misprediction -- for this return, and | |
1942 | // possibly all others already stacked. | |
1943 | ||
1944 | // (try not to crash) | |
1945 | lea rax, [rip + 9f] | |
1946 | ||
1947 | push rax | |
1948 | 9: ret | |
1949 | ||
1950 | #elif defined(__i386__) | |
1951 | ||
1952 | call get_pc_ebx | |
1953 | lea eax, [ebx + 9f - .] | |
1954 | ||
1955 | push eax | |
1956 | 9: ret | |
1957 | ||
1958 | #elif defined(__arm__) | |
1959 | ||
1960 | stmfd r13!, {r14} | |
1961 | ||
1962 | adr r14, 8f | |
1963 | bx r14 | |
1964 | ||
1965 | 8: ldmfd r13!, {pc} | |
1966 | ||
1967 | #elif defined(__aarch64__) | |
1968 | ||
1969 | str x30, [sp, #-16]! | |
1970 | ||
1971 | adr x30, 8f | |
1972 | ret | |
1973 | ||
1974 | 8: ldr x30, [sp], #16 | |
1975 | ret | |
1976 | ||
1977 | #else | |
1978 | notimpl | |
1979 | #endif | |
06297a93 MW |
1980 | |
1981 | endproc | |
1982 | ||
1983 | proc x1c | |
1984 | ||
90c4eee3 MW |
1985 | // ok, having a hard time seeing a use for this. the most important |
1986 | // thing to note is that sp is set from `pop' /after/ it's | |
1987 | // incremented. | |
1988 | ||
1989 | #if defined(__x86_64__) | |
1990 | ||
1991 | // try not to crash | |
1992 | mov rax, rsp | |
1993 | and rsp, -16 | |
1994 | push rax | |
1995 | ||
1996 | pop rsp | |
1997 | ||
1998 | // check it worked | |
1999 | mov rbx, rsp | |
2000 | ret | |
2001 | ||
2002 | #elif defined(__i386__) | |
2003 | ||
2004 | // try not to crash | |
2005 | mov eax, esp | |
2006 | and esp, -16 | |
2007 | push eax | |
2008 | ||
2009 | pop esp | |
2010 | ||
2011 | // check it worked | |
2012 | mov ebx, esp | |
2013 | ret | |
2014 | ||
2015 | #elif defined(__arm__) | |
2016 | ||
2017 | // not even going to dignify this | |
2018 | notimpl | |
2019 | ||
2020 | #elif defined(__aarch64__) | |
2021 | ||
2022 | // not even going to dignify this | |
2023 | notimpl | |
2024 | ||
2025 | #else | |
2026 | notimpl | |
2027 | #endif | |
06297a93 MW |
2028 | |
2029 | endproc | |
2030 | ||
2031 | proc x1d | |
2032 | ||
90c4eee3 MW |
2033 | // monumentally cheesy way to copy 8 n bytes from buff1 to buff2. |
2034 | // also clobbers words at buff2 + 8 n and buff2 - 8 for good measure. | |
2035 | ||
2036 | n = 4 | |
2037 | ||
2038 | #if defined(__x86_64__) | |
2039 | ||
2040 | mov rax, rsp // safekeeping | |
2041 | ||
2042 | // we're toast if we get hit by a signal now. fingers crossed... | |
2043 | .if 0 | |
2044 | mov rsp, buff2 + 8*n + 8 | |
2045 | mov rbp, buff1 + 8*n | |
2046 | .else | |
2047 | lea rsp, [rdi + 8*n + 16] | |
2048 | lea rbp, [rsi + 8*n] | |
2049 | .endif | |
2050 | enter 0, n + 1 | |
2051 | ||
2052 | // precise action: | |
2053 | // | |
2054 | // +---------+ +---------+ | |
2055 | // rbp -> | ??? | rsp -> | ??? | | |
2056 | // +---------+ +---------+ | |
2057 | // | w_{n-1} | | rbp | <- rbp' | |
2058 | // +---------+ +---------+ | |
2059 | // | ... | | w_{n-1} | | |
2060 | // +---------+ +---------+ | |
2061 | // | w_1 | | ... | | |
2062 | // +---------+ +---------+ | |
2063 | // | w_0 | | w_1 | | |
2064 | // +---------+ +---------+ | |
2065 | // | w_0 | | |
2066 | // +---------+ | |
2067 | // | rbp' | <- rsp' | |
2068 | // +---------+ | |
2069 | ||
2070 | mov rdx, rsp | |
2071 | mov rsp, rax | |
2072 | ||
2073 | #elif defined(__i386__) | |
2074 | ||
2075 | mov eax, esp // safekeeping | |
2076 | ||
2077 | // we're toast if we get hit by a signal now. fingers crossed... | |
2078 | .if 0 | |
2079 | mov esp, buff2 + 4*n + 4 | |
2080 | mov ebp, buff1 + 4*n | |
2081 | .else | |
2082 | lea esp, [edi + 4*n + 8] | |
2083 | lea ebp, [esi + 4*n] | |
2084 | .endif | |
2085 | enter 0, n + 1 | |
2086 | ||
2087 | mov edx, esp | |
2088 | mov esp, eax | |
2089 | ||
2090 | #elif defined(__arm__) | |
2091 | ||
2092 | add r4, r4, #4*n | |
2093 | add r5, r5, #4*n + 8 | |
2094 | ||
2095 | str r4, [r5, #-4]! | |
2096 | .rept n/2 | |
2097 | ldrd r0, r1, [r4, #-8]! | |
2098 | strd r0, r1, [r5, #-8]! | |
2099 | .endr | |
2100 | add r4, r5, #4*n | |
2101 | str r4, [r5, #-4]! | |
2102 | ||
2103 | #elif defined(__aarch64__) | |
2104 | ||
2105 | // omgwtf. let's not actually screw with the stack pointer. | |
2106 | ||
2107 | add x4, x4, #8*n | |
2108 | add x5, x5, #8*n + 16 | |
2109 | ||
2110 | str x4, [x5, #-8]! | |
2111 | .rept n/2 | |
2112 | ldp x16, x17, [x4, #-16]! | |
2113 | stp x16, x17, [x5, #-16]! | |
2114 | .endr | |
2115 | add x4, x5, #8*n | |
2116 | str x4, [x5, #-8]! | |
2117 | ||
2118 | #else | |
2119 | notimpl | |
2120 | #endif | |
2121 | ||
2122 | ret | |
06297a93 MW |
2123 | |
2124 | endproc | |
2125 | ||
2126 | proc x1e | |
2127 | ||
90c4eee3 MW |
2128 | // convert nibble value to (uppercase) hex; other input values yield |
2129 | // nonsense. | |
2130 | ||
2131 | #if defined(__x86_64__) | |
2132 | ||
2133 | // das doesn't work in 64-bit mode; best i can come up with | |
2134 | mov edx, eax | |
2135 | add al, '0' | |
2136 | add dl, 'A' - 10 | |
2137 | cmp al, '9' + 1 | |
2138 | cmovae eax, edx | |
2139 | ||
2140 | #elif defined(__i386__) | |
2141 | ||
2142 | cmp al, 0x0a // cf = 1 iff a < 10 | |
2143 | sbb al, 0x69 // if 0 <= a < 10, a' = a - 0x6a, so | |
2144 | // 0x96 <= a' < 0x70, setting af, cf | |
2145 | // if 10 <= a < 16, a' = a - 0x69, so | |
2146 | // 0x71 <= a' < 0x77, setting cf but | |
2147 | // clearing af | |
2148 | das // if 0 <= a < 10, then af and cf are | |
2149 | // both set, so set subtract 0x66 | |
2150 | // from a' leaving 0x30 <= a' < 0x3a; | |
2151 | // if 10 <= a < 16 then af clear but | |
2152 | // cf set, so subtract 0x60 from a' | |
2153 | // leaving 0x41 <= a' < 0x47 | |
2154 | ||
2155 | #elif defined(__arm__) | |
2156 | ||
2157 | // significantly less tricksy | |
2158 | cmp r0, #10 | |
2159 | addlo r0, r0, #'0' | |
2160 | addhs r0, r0, #'A' - 10 | |
2161 | ||
2162 | #elif defined(__aarch64__) | |
2163 | ||
2164 | // with less versatile conditional execution this is the best we can | |
2165 | // do | |
2166 | cmp w0, #10 | |
2167 | add w16, w0, #'A' - 10 | |
2168 | add w0, w0, #'0' | |
2169 | cmov.hs w0, w16 | |
2170 | ||
2171 | #else | |
2172 | notimpl | |
2173 | #endif | |
2174 | ||
2175 | ret | |
06297a93 MW |
2176 | |
2177 | endproc | |
2178 | ||
2179 | proc x1f | |
2180 | ||
90c4eee3 MW |
2181 | // verify collatz conjecture starting at a; assume a /= 0! |
2182 | ||
2183 | #if defined(__x86_64__) | |
2184 | ||
2185 | 0: bsf rcx, rax // clobber c if a = 0 | |
2186 | shr rax, cl // a = 2^c a' | |
2187 | cmp rdx, 0 | |
2188 | je 1f | |
2189 | stosq | |
2190 | dec rdx | |
2191 | 1: | |
2192 | cmp rax, 1 // done? | |
2193 | je 9f | |
2194 | lea rax, [2*rax + rax + 1] // a' = 3 a' + 1 | |
2195 | jmp 0b // again | |
2196 | ||
2197 | 9: ret | |
2198 | ||
2199 | #elif defined(__i386__) | |
2200 | ||
2201 | 0: bsf ecx, eax // clobber c if a = 0 | |
2202 | shr eax, cl // a = 2^c a' | |
2203 | cmp edx, 0 | |
2204 | je 1f | |
2205 | stosd | |
2206 | dec edx | |
2207 | 1: | |
2208 | cmp eax, 1 // done? | |
2209 | je 9f | |
2210 | lea eax, [2*eax + eax + 1] // a' = 3 a' + 1 | |
2211 | jmp 0b // again | |
2212 | ||
2213 | 9: ret | |
2214 | ||
2215 | #elif defined(__arm__) | |
2216 | ||
2217 | // rbit introduced in armv7 | |
2218 | 0: rbit r2, r0 | |
2219 | clz r2, r2 | |
2220 | mov r0, r0, lsr r2 // a = 2^c a' | |
2221 | cmp r3, #0 | |
2222 | strne r0, [r5], #4 | |
2223 | subne r3, r3, #1 | |
2224 | cmp r0, #1 | |
2225 | adcne r0, r0, r0, lsl #1 // a' = 3 a' + 1 (because c set) | |
2226 | bne 0b | |
2227 | ||
2228 | ret | |
2229 | ||
2230 | #elif defined(__aarch64__) | |
2231 | ||
2232 | 0: rbit w2, w0 | |
2233 | clz w2, w2 | |
2234 | lsr w0, w0, w2 // a = 2^c a' | |
2235 | cmp x3, #0 | |
2236 | beq 1f | |
2237 | str x0, [x5], #8 | |
2238 | sub x3, x3, #1 | |
2239 | 1: | |
2240 | cmp w0, #1 | |
2241 | add w16, w0, w0, lsl #1 // t = 3 a' + 1 (because c set) | |
2242 | csinc.eq w0, w0, w16 | |
2243 | b.ne 0b | |
2244 | ||
2245 | ret | |
2246 | ||
2247 | #else | |
2248 | notimpl | |
2249 | #endif | |
06297a93 MW |
2250 | |
2251 | endproc | |
2252 | ||
90c4eee3 MW |
2253 | ///-------------------------------------------------------------------------- |
2254 | /// 0x20--0x2f | |
2255 | ||
06297a93 MW |
2256 | proc x20 |
2257 | ||
90c4eee3 MW |
2258 | // calculate 1337 a slowly |
2259 | ||
2260 | #if defined(__x86_64__) | |
2261 | ||
2262 | // original version | |
2263 | mov rcx, rax // c = a | |
2264 | shl rcx, 2 // c = 4 a | |
2265 | add rcx, rax // c = 5 a | |
2266 | shl rcx, 3 // c = 40 a | |
2267 | add rcx, rax // c = 41 a | |
2268 | shl rcx, 1 // c = 82 a | |
2269 | add rcx, rax // c = 83 a | |
2270 | shl rcx, 1 // c = 166 a | |
2271 | add rcx, rax // c = 167 a | |
2272 | shl rcx, 3 // c = 1336 a | |
2273 | add rcx, rax // c = 1337 a | |
2274 | ||
2275 | // a quick way | |
2276 | lea rdx, [2*rax + rax] // t = 3 a | |
2277 | shl rdx, 6 // t = 192 a | |
2278 | sub rdx, rax // t = 191 a | |
2279 | lea rbx, [8*rdx] // b = 1528 a | |
2280 | sub rbx, rdx // b = 1337 a | |
2281 | ||
2282 | #elif defined(__i386__) | |
2283 | ||
2284 | // original version | |
2285 | mov ecx, eax // c = a | |
2286 | shl ecx, 2 // c = 4 a | |
2287 | add ecx, eax // c = 5 a | |
2288 | shl ecx, 3 // c = 40 a | |
2289 | add ecx, eax // c = 41 a | |
2290 | shl ecx, 1 // c = 82 a | |
2291 | add ecx, eax // c = 83 a | |
2292 | shl ecx, 1 // c = 166 a | |
2293 | add ecx, eax // c = 167 a | |
2294 | shl ecx, 3 // c = 1336 a | |
2295 | add ecx, eax // c = 1337 a | |
2296 | ||
2297 | // a quick way | |
2298 | lea edx, [2*eax + eax] // t = 3 a | |
2299 | shl edx, 6 // t = 192 a | |
2300 | sub edx, eax // t = 191 a | |
2301 | lea ebx, [8*edx] // b = 1528 a | |
2302 | sub ebx, edx // b = 1337 a | |
2303 | ||
2304 | #elif defined(__arm__) | |
2305 | ||
2306 | // original version, ish | |
2307 | add r2, r0, r0, lsl #2 // c = 5 a | |
2308 | add r2, r0, r2, lsl #3 // c = 41 a | |
2309 | add r2, r0, r2, lsl #1 // c = 83 a | |
2310 | add r2, r0, r2, lsl #1 // c = 167 a | |
2311 | add r2, r0, r2, lsl #3 // c = 1337 a | |
2312 | ||
2313 | // quicker way | |
2314 | add r1, r0, r0, lsl #1 // b = 3 a | |
2315 | rsb r1, r0, r1, lsl #6 // b = 191 a | |
2316 | rsb r1, r1, r1, lsl #3 // b = 1337 a | |
2317 | ||
2318 | #elif defined(__aarch64__) | |
2319 | ||
2320 | // original version, ish | |
2321 | add x2, x0, x0, lsl #2 // c = 5 a | |
2322 | add x2, x0, x2, lsl #3 // c = 41 a | |
2323 | add x2, x0, x2, lsl #1 // c = 83 a | |
2324 | add x2, x0, x2, lsl #1 // c = 167 a | |
2325 | add x2, x0, x2, lsl #3 // c = 1337 a | |
2326 | ||
2327 | // sleazy because no rsb | |
2328 | add x1, x0, x0, lsl #1 // b = 3 a | |
2329 | sub x1, x0, x1, lsl #6 // b = -191 a | |
2330 | sub x1, x1, x1, lsl #3 // b = 1337 a | |
2331 | ||
2332 | #else | |
2333 | notimpl | |
2334 | #endif | |
06297a93 MW |
2335 | |
2336 | ret | |
2337 | ||
2338 | endproc | |
2339 | ||
2340 | proc x21 | |
2341 | ||
90c4eee3 MW |
2342 | // multiply complex numbers a + b i and c + d i |
2343 | // | |
2344 | // (a + b i) (c + d i) = (a c - b d) + (a d + b c) i | |
2345 | // | |
2346 | // somewhat slick approach uses only three multiplications | |
2347 | ||
2348 | #if defined(__x86_64__) | |
2349 | ||
2350 | mov rsi, rax // t = a | |
2351 | add rax, rbx // a' = a + b | |
2352 | mov rdi, rdx // u = d | |
2353 | sub rdx, rcx // d' = d - c | |
2354 | add rdi, rcx // u = c + d | |
2355 | ||
2356 | imul rax, rcx // a' = c (a + b) | |
2357 | imul rsi, rdx // t = a (d - c) | |
2358 | imul rdi, rbx // u = b (c + d) | |
2359 | ||
2360 | add rsi, rax // t = a (d - c) + c (a + b) | |
2361 | mov rbx, rsi // b' = a (d - c) + c (a + b) | |
2362 | // = a d + b c | |
2363 | sub rax, rdi // a' = c (a + b) - b (c + d) | |
2364 | // = a c - b d | |
2365 | ||
2366 | #elif defined(__i386__) | |
2367 | ||
2368 | mov esi, eax // t = a | |
2369 | add eax, ebx // a' = a + b | |
2370 | mov edi, edx // u = d | |
2371 | sub edx, ecx // d' = d - c | |
2372 | add edi, ecx // u = c + d | |
2373 | ||
2374 | imul eax, ecx // a' = c (a + b) | |
2375 | imul esi, edx // t = a (d - c) | |
2376 | imul edi, ebx // u = b (c + d) | |
2377 | ||
2378 | add esi, eax // t = a (d - c) + c (a + b) | |
2379 | mov ebx, esi // b' = a (d - c) + c (a + b) | |
2380 | // = a d + b c | |
2381 | sub eax, edi // a' = c (a + b) - b (c + d) | |
2382 | // = a c - b d | |
2383 | ||
2384 | #elif defined(__arm__) | |
2385 | ||
2386 | add r4, r0, r1 // t = a + b | |
2387 | add r5, r2, r3 // u = c + d | |
2388 | sub r3, r3, r2 // d' = d - c | |
2389 | ||
2390 | // mls introduced in armv7 | |
2391 | mul r4, r4, r2 // t = c (a + b) | |
2392 | mov r2, r1 // c' = a (bah!) | |
2393 | mla r1, r0, r3, r4 // b' = a (d - c) + c (a + b) | |
2394 | // = a d + b c | |
2395 | mls r0, r2, r5, r4 // a' = c (a + b) - b (c + d) | |
2396 | // = a c - b d | |
2397 | ||
2398 | #elif defined(__aarch64__) | |
2399 | ||
2400 | add x4, x0, x1 // t = a + b | |
2401 | add x5, x2, x3 // u = c + d | |
2402 | sub x3, x3, x2 // d' = d - c | |
2403 | ||
2404 | // mls intxoduced in axmv7 | |
2405 | mul x4, x4, x2 // t = c (a + b) | |
2406 | mov x2, x1 // c' = a (bah!) | |
2407 | madd x1, x0, x3, x4 // b' = a (d - c) + c (a + b) | |
2408 | // = a d + b c | |
2409 | msub x0, x2, x5, x4 // a' = c (a + b) - b (c + d) | |
2410 | // = a c - b d | |
2411 | ||
2412 | #else | |
2413 | notimpl | |
2414 | #endif | |
2415 | ||
2416 | ret | |
06297a93 MW |
2417 | |
2418 | endproc | |
2419 | ||
2420 | proc x22 | |
2421 | ||
90c4eee3 MW |
2422 | // divide by 3 |
2423 | ||
2424 | #if defined(__x86_64__) | |
2425 | ||
2426 | mov rdx, 0xaaaaaaaaaaaaaaab // = ceil(2/3 2^64) | |
2427 | mul rdx // d' || a' =~ 2/3 a 2^64 | |
2428 | shr rdx, 1 // d' = floor(a/3) | |
2429 | mov rax, rdx // a' = floor(a/3) | |
2430 | ||
2431 | // we start with 0 <= a < 2^64. write f = ceil(2/3 2^64), so that | |
2432 | // 2/3 < f/2^64 < 2/3 + 1/2^64. then floor(2/3 a) <= floor(a f/2^64) | |
2433 | // <= floor(2/3 a + a/2^64), but a < 2^64 so a/2^64 < 1 and | |
2434 | // floor(a f/2^64) = floor(2/3 a). | |
2435 | ||
2436 | #elif defined(__i386__) | |
2437 | ||
2438 | mov edx, 0xaaaaaaab // = ceil(2/3 2^32) | |
2439 | mul edx // d' || a' =~ 2/3 a 2^32 | |
2440 | shr edx, 1 // d' = floor(a/3) | |
2441 | mov eax, edx // a' = floor(a/3) | |
2442 | ||
2443 | #elif defined(__arm__) | |
2444 | ||
2445 | ldr r12, =0xaaaaaaab | |
2446 | umull r12, r0, r0, r12 | |
2447 | mov r0, r0, lsr #1 | |
2448 | ||
2449 | #elif defined(__aarch64__) | |
2450 | ||
2451 | ldr x16, =0xaaaaaaaaaaaaaaab | |
2452 | umulh x0, x0, x16 | |
2453 | lsr x0, x0, #1 | |
2454 | ||
2455 | #else | |
2456 | notimpl | |
2457 | #endif | |
2458 | ||
2459 | ret | |
06297a93 MW |
2460 | |
2461 | endproc | |
2462 | ||
2463 | proc x23 | |
2464 | ||
90c4eee3 MW |
2465 | #if defined(__x86_64__) |
2466 | ||
2467 | // main loop: shorten a preserving residue class mod 3 | |
2468 | 0: cmp rax, 5 | |
2469 | jbe 8f | |
2470 | // a > 5 | |
2471 | mov rdx, rax // d' = a | |
2472 | shr rdx, 2 // d' = floor(a/4) | |
2473 | and rax, 3 // a = 4 d' + a' (0 <= a' < 4) | |
2474 | add rax, rdx // a' == a (mod 3) but a' < a/4 + 4 | |
2475 | jmp 0b | |
2476 | ||
2477 | // fix up final value 0 <= a < 6: want 0 <= a < 3 | |
2478 | // | |
2479 | // the tricky part is actually a = 3; but the other final cases take | |
2480 | // additional iterations which we can avoid. | |
2481 | 8: cmp rax, 3 // set cf iff a < 3 | |
2482 | cmc // set cf iff a >= 3 | |
2483 | sbb rdx, rdx // d' = a >= 3 ? -1 : 0 | |
2484 | and rdx, 3 // d' = a >= 3 ? 3 : 0 | |
2485 | sub rax, rdx // a' = a - (a >= 3 ? 3 : 0) | |
2486 | // = a (mod 3) | |
2487 | ||
2488 | #elif defined(__i386__) | |
2489 | ||
2490 | // main loop: shorten a preserving residue class mod 3 | |
2491 | 0: cmp eax, 5 | |
2492 | jbe 8f | |
2493 | // a > 5 | |
2494 | mov edx, eax // d' = a | |
2495 | shr edx, 2 // d' = floor(a/4) | |
2496 | and eax, 3 // a = 4 d' + a' (0 <= a' < 4) | |
2497 | add eax, edx // a' == a (mod 3) but a' < a/4 + 4 | |
2498 | jmp 0b | |
2499 | ||
2500 | // fix up final value 0 <= a < 6: want 0 <= a < 3 | |
2501 | // | |
2502 | // the tricky part is actually a = 3; but the other final cases take | |
2503 | // additional iterations which we can avoid. | |
2504 | 8: cmp eax, 3 // set cf iff a < 3 | |
2505 | cmc // set cf iff a >= 3 | |
2506 | sbb edx, edx // d' = a >= 3 ? -1 : 0 | |
2507 | and edx, 3 // d' = a >= 3 ? 3 : 0 | |
2508 | sub eax, edx // a' = a - (a >= 3 ? 3 : 0) | |
2509 | // = a (mod 3) | |
2510 | ||
2511 | #elif defined(__arm__) | |
2512 | ||
2513 | 0: cmp r0, #6 | |
2514 | andhs r12, r0, #3 | |
2515 | addhs r0, r12, r0, lsr #2 | |
2516 | bhs 0b | |
2517 | ||
2518 | cmp r0, #3 | |
2519 | subhs r0, r0, #3 | |
2520 | ||
2521 | #elif defined(__aarch64__) | |
2522 | ||
2523 | 0: cmp x0, #6 | |
2524 | // blunder on through regardless since this doesn't affect the result | |
2525 | and x16, x0, #3 | |
2526 | add x0, x16, x0, lsr #2 | |
2527 | b.hs 0b | |
2528 | ||
2529 | subs x16, x0, #3 | |
2530 | cmov.hs x0, x16 | |
2531 | ||
2532 | #else | |
2533 | notimpl | |
2534 | #endif | |
2535 | ||
2536 | ret | |
06297a93 MW |
2537 | |
2538 | endproc | |
2539 | ||
2540 | proc x24 | |
2541 | ||
90c4eee3 MW |
2542 | // invert (odd) a mod 2^64 |
2543 | // | |
2544 | // suppose a a_i == 1 (mod 2^{2^i}) | |
2545 | // | |
2546 | // clearly good for i = 0, since 2^i = 1 and 2^{2^i} = 2, and a_0 = | |
2547 | // a == 1 (mod 2) by assumption | |
2548 | // | |
2549 | // write a a_i == b_i 2^{2^i} + 1 (mod 2^{2^{i+1}}) | |
2550 | // then b_i == (a a_i - 1)/2^{2^i} (mod 2^{2^i}) | |
2551 | // to lift inverse, we want x such that a x == -b_i (mod 2^{2^i}); | |
2552 | // clearly x = -a_i b_i will do, since a a_i == 1 (mod 2^{2^i}) | |
2553 | // then: | |
2554 | // a_{i+1} = a_i - a_i b_i 2^{2^i} = a_i (1 - (a a_i - 1)) | |
2555 | // = 2 a_i - a a_i^2 | |
2556 | // | |
2557 | // check: | |
2558 | // a a_{i+1} = 2 a a_i - a^2 a_i^2 | |
2559 | // == 2 a a_i - (b_i 2^{2^i} + 1)^2 | |
2560 | // == 2 (b_i 2^{2^i} + 1) - | |
2561 | // (b_i^2 2^{2^{i+1}} + 2 b_i 2^{2^i} + 1) | |
2562 | // == 1 (mod 2^{2^{i+1}}) | |
2563 | ||
2564 | #if defined(__x86_64__) | |
2565 | ||
2566 | // rax // a_0 = a | |
2567 | mov rbx, rax // b' = a | |
2568 | mov rsi, rax // t = a_0 | |
2569 | ||
2570 | 0: | |
2571 | cmp rbp, 0 | |
2572 | je 1f | |
2573 | stosq | |
2574 | dec rbp | |
2575 | 1: | |
2576 | mul rbx // a' = a a_i | |
2577 | mov rcx, rax // c = a a_i | |
2578 | ||
2579 | sub rax, 2 // a' = a a_i - 2 | |
2580 | neg rax // a' = 2 - a a_i | |
2581 | mul rsi // a_{i+1} = a_i (2 - a a_i) | |
2582 | // = 2 a_i - a a_i^2 | |
2583 | mov rsi, rax // t = a_{i+1} | |
2584 | ||
2585 | cmp rcx, 1 // done? | |
2586 | ja 0b // no -- iterate | |
2587 | ||
2588 | #elif defined(__i386__) | |
2589 | ||
2590 | // eax // a_0 = a | |
2591 | mov ebx, eax // b' = a | |
2592 | mov esi, eax // t = a_0 | |
2593 | ||
2594 | 0: | |
2595 | cmp ebp, 0 | |
2596 | je 1f | |
2597 | stosd | |
2598 | dec ebp | |
2599 | 1: | |
2600 | mul ebx // a' = a a_i | |
2601 | mov ecx, eax // c = a a_i | |
2602 | ||
2603 | sub eax, 2 // a' = a a_i - 2 | |
2604 | jb 9f // done if < 2 | |
2605 | neg eax // a' = 2 - a a_i | |
2606 | mul esi // a_{i+1} = a_i (2 - a a_i) | |
2607 | // = 2 a_i - a a_i^2 | |
2608 | mov esi, eax // t = a_{i+1} | |
2609 | ||
2610 | jmp 0b // and iterate | |
2611 | 9: mov eax, esi // restore | |
2612 | ||
2613 | #elif defined(__arm__) | |
2614 | ||
2615 | // r0 // a_0 = a | |
2616 | mov r1, r0 // b' = a | |
2617 | ||
2618 | 0: | |
2619 | cmp r6, #0 | |
2620 | strne r0, [r5], #4 | |
2621 | subne r6, r6, #1 | |
2622 | mul r2, r0, r1 // c = a a_i | |
2623 | rsbs r2, r2, #2 // c = 2 - a a_i | |
2624 | mul r0, r0, r2 // a_{i+1} = a_i (2 - a a_i) | |
2625 | // = 2 a_i - a a_i^2 | |
2626 | blo 0b | |
2627 | ||
2628 | #elif defined(__aarch64__) | |
2629 | ||
2630 | // x0 // a_0 = a | |
2631 | mov x1, x0 // b' = a | |
2632 | mov x16, #2 // because we have no rsb | |
2633 | ||
2634 | 0: | |
2635 | cmp x6, #0 | |
2636 | b.eq 1f | |
2637 | str x0, [x5], #8 | |
2638 | sub x6, x6, #1 | |
2639 | 1: | |
2640 | mul x2, x0, x1 // c = a a_i | |
2641 | subs x2, x16, x2 // c = 2 - a a_i | |
2642 | mul x0, x0, x2 // a_{i+1} = a_i (2 - a a_i) | |
2643 | // = 2 a_i - a a_i^2 | |
2644 | b.lo 0b | |
2645 | ||
2646 | #else | |
2647 | notimpl | |
2648 | #endif | |
2649 | ||
2650 | ret | |
06297a93 MW |
2651 | |
2652 | endproc | |
2653 | ||
2654 | proc x25 | |
2655 | ||
90c4eee3 MW |
2656 | // a poor approximation to pi/4 |
2657 | // | |
2658 | // think of x and y as being in 16.16 fixed-point format. we sample | |
2659 | // points in the unit square, and determine how many of them are | |
2660 | // within a unit quarter-circle centred at the origin. the area of | |
2661 | // the quarter-circle is pi/4. | |
2662 | ||
2663 | #if defined(__x86_64__) | |
2664 | ||
2665 | xor eax, eax // a = 0 | |
2666 | mov rcx, 1 | |
2667 | shl rcx, 0x20 // c =~ 4 billion | |
2668 | ||
2669 | 0: movzx rbx, cx // x = low 16 bits of c | |
2670 | imul rbx, rbx // b = x^2 | |
2671 | ||
2672 | ror rcx, 0x10 // switch halves of c | |
2673 | movzx rdx, cx // y = high 16 bits of c | |
2674 | imul rdx, rdx // d = y^2 | |
2675 | rol rcx, 0x10 // switch back | |
2676 | ||
2677 | add rbx, rdx // r^2 = x^2 + y^2 | |
2678 | shr rbx, 0x20 // r^2 >= 1? | |
2679 | cmp rbx, 1 // set cf iff r^2 >= 1 | |
2680 | adc rax, 0 // and add onto accumulator | |
2681 | loop 0b | |
2682 | ||
2683 | #elif defined(__i386__) | |
2684 | ||
2685 | // this is actually better done in 32 bits. the carry has the wrong | |
2686 | // sense here, so instead deduct one for each point outside the | |
2687 | // quarter-circle rather than adding one for each point inside it. | |
2688 | xor eax, eax | |
2689 | xor ecx, ecx | |
2690 | ||
2691 | 0: movzx ebx, cx | |
2692 | imul ebx, ebx | |
2693 | ||
2694 | ror ecx, 0x10 | |
2695 | movzx edx, cx | |
2696 | imul edx, edx | |
2697 | rol ecx, 0x10 | |
2698 | ||
2699 | add ebx, edx // see? | |
2700 | sbb eax, 0 | |
2701 | loop 0b | |
2702 | ||
2703 | #elif defined(__arm__) | |
2704 | ||
2705 | mov r0, #0 | |
2706 | mov r2, #0 | |
2707 | ||
2708 | 0: uxth r1, r2, ror #0 | |
2709 | uxth r3, r2, ror #16 | |
2710 | mul r1, r1, r1 | |
2711 | mul r3, r3, r3 | |
2712 | cmn r1, r3 // mlas doesn't set cf usefully | |
2713 | addcc r0, r0, #1 | |
2714 | adds r2, r2, #1 | |
2715 | bne 0b | |
2716 | ||
2717 | #elif defined(__aarch64__) | |
2718 | ||
2719 | mov w0, #0 | |
2720 | mov w2, #0 | |
2721 | ||
2722 | 0: ubfx w1, w2, #0, #16 | |
2723 | ubfx w3, w2, #16, #16 | |
2724 | sub w2, w2, #1 | |
2725 | mul w1, w1, w1 | |
2726 | mul w3, w3, w3 | |
2727 | cmn w1, w3 | |
2728 | cinc.cc w0, w0 | |
2729 | cbnz w2, 0b | |
2730 | ||
2731 | #else | |
2732 | notimpl | |
2733 | #endif | |
2734 | ||
2735 | ret | |
06297a93 MW |
2736 | |
2737 | endproc | |
2738 | ||
2739 | proc x26 | |
2740 | ||
90c4eee3 MW |
2741 | #if defined(__x86_64__) |
2742 | ||
2743 | notimpl | |
2744 | ||
2745 | #elif defined(__i386__) | |
2746 | ||
2747 | notimpl | |
2748 | ||
2749 | #elif defined(__arm__) | |
2750 | ||
2751 | notimpl | |
2752 | ||
2753 | #elif defined(__aarch64__) | |
2754 | ||
2755 | notimpl | |
2756 | ||
2757 | #else | |
2758 | notimpl | |
2759 | #endif | |
06297a93 MW |
2760 | |
2761 | endproc | |
2762 | ||
2763 | proc x27 | |
2764 | ||
90c4eee3 MW |
2765 | #if defined(__x86_64__) |
2766 | ||
2767 | notimpl | |
2768 | ||
2769 | #elif defined(__i386__) | |
2770 | ||
2771 | notimpl | |
2772 | ||
2773 | #elif defined(__arm__) | |
2774 | ||
2775 | notimpl | |
2776 | ||
2777 | #elif defined(__aarch64__) | |
2778 | ||
2779 | notimpl | |
2780 | ||
2781 | #else | |
2782 | notimpl | |
2783 | #endif | |
06297a93 MW |
2784 | |
2785 | endproc | |
2786 | ||
2787 | proc x28 | |
2788 | ||
90c4eee3 MW |
2789 | #if defined(__x86_64__) |
2790 | ||
2791 | notimpl | |
2792 | ||
2793 | #elif defined(__i386__) | |
2794 | ||
2795 | notimpl | |
2796 | ||
2797 | #elif defined(__arm__) | |
2798 | ||
2799 | notimpl | |
2800 | ||
2801 | #elif defined(__aarch64__) | |
2802 | ||
2803 | notimpl | |
2804 | ||
2805 | #else | |
2806 | notimpl | |
2807 | #endif | |
06297a93 MW |
2808 | |
2809 | endproc | |
2810 | ||
2811 | proc x29 | |
2812 | ||
90c4eee3 MW |
2813 | #if defined(__x86_64__) |
2814 | ||
2815 | notimpl | |
2816 | ||
2817 | #elif defined(__i386__) | |
2818 | ||
2819 | notimpl | |
2820 | ||
2821 | #elif defined(__arm__) | |
2822 | ||
2823 | notimpl | |
2824 | ||
2825 | #elif defined(__aarch64__) | |
2826 | ||
2827 | notimpl | |
2828 | ||
2829 | #else | |
2830 | notimpl | |
2831 | #endif | |
06297a93 MW |
2832 | |
2833 | endproc | |
2834 | ||
2835 | proc x2a | |
2836 | ||
90c4eee3 MW |
2837 | #if defined(__x86_64__) |
2838 | ||
2839 | notimpl | |
2840 | ||
2841 | #elif defined(__i386__) | |
2842 | ||
2843 | notimpl | |
2844 | ||
2845 | #elif defined(__arm__) | |
2846 | ||
2847 | notimpl | |
2848 | ||
2849 | #elif defined(__aarch64__) | |
2850 | ||
2851 | notimpl | |
2852 | ||
2853 | #else | |
2854 | notimpl | |
2855 | #endif | |
06297a93 MW |
2856 | |
2857 | endproc | |
2858 | ||
2859 | proc x2b | |
2860 | ||
90c4eee3 MW |
2861 | #if defined(__x86_64__) |
2862 | ||
2863 | notimpl | |
2864 | ||
2865 | #elif defined(__i386__) | |
2866 | ||
2867 | notimpl | |
2868 | ||
2869 | #elif defined(__arm__) | |
2870 | ||
2871 | notimpl | |
2872 | ||
2873 | #elif defined(__aarch64__) | |
2874 | ||
2875 | notimpl | |
2876 | ||
2877 | #else | |
2878 | notimpl | |
2879 | #endif | |
06297a93 MW |
2880 | |
2881 | endproc | |
2882 | ||
2883 | proc x2c | |
2884 | ||
90c4eee3 MW |
2885 | #if defined(__x86_64__) |
2886 | ||
2887 | notimpl | |
2888 | ||
2889 | #elif defined(__i386__) | |
2890 | ||
2891 | notimpl | |
2892 | ||
2893 | #elif defined(__arm__) | |
2894 | ||
2895 | notimpl | |
2896 | ||
2897 | #elif defined(__aarch64__) | |
2898 | ||
2899 | notimpl | |
2900 | ||
2901 | #else | |
2902 | notimpl | |
2903 | #endif | |
06297a93 MW |
2904 | |
2905 | endproc | |
2906 | ||
2907 | proc x2d | |
2908 | ||
90c4eee3 MW |
2909 | #if defined(__x86_64__) |
2910 | ||
2911 | notimpl | |
2912 | ||
2913 | #elif defined(__i386__) | |
2914 | ||
2915 | notimpl | |
2916 | ||
2917 | #elif defined(__arm__) | |
2918 | ||
2919 | notimpl | |
2920 | ||
2921 | #elif defined(__aarch64__) | |
2922 | ||
2923 | notimpl | |
2924 | ||
2925 | #else | |
2926 | notimpl | |
2927 | #endif | |
06297a93 MW |
2928 | |
2929 | endproc | |
2930 | ||
2931 | proc x2e | |
2932 | ||
90c4eee3 MW |
2933 | #if defined(__x86_64__) |
2934 | ||
2935 | notimpl | |
2936 | ||
2937 | #elif defined(__i386__) | |
2938 | ||
2939 | notimpl | |
2940 | ||
2941 | #elif defined(__arm__) | |
2942 | ||
2943 | notimpl | |
2944 | ||
2945 | #elif defined(__aarch64__) | |
2946 | ||
2947 | notimpl | |
2948 | ||
2949 | #else | |
2950 | notimpl | |
2951 | #endif | |
06297a93 MW |
2952 | |
2953 | endproc | |
2954 | ||
2955 | proc x2f | |
2956 | ||
90c4eee3 MW |
2957 | #if defined(__x86_64__) |
2958 | ||
2959 | notimpl | |
2960 | ||
2961 | #elif defined(__i386__) | |
2962 | ||
2963 | notimpl | |
2964 | ||
2965 | #elif defined(__arm__) | |
2966 | ||
2967 | notimpl | |
2968 | ||
2969 | #elif defined(__aarch64__) | |
2970 | ||
2971 | notimpl | |
2972 | ||
2973 | #else | |
2974 | notimpl | |
2975 | #endif | |
06297a93 MW |
2976 | |
2977 | endproc | |
2978 | ||
90c4eee3 MW |
2979 | ///-------------------------------------------------------------------------- |
2980 | /// 0x30--0x3f | |
2981 | ||
06297a93 MW |
2982 | proc x30 |
2983 | ||
90c4eee3 MW |
2984 | #if defined(__x86_64__) |
2985 | ||
2986 | notimpl | |
2987 | ||
2988 | #elif defined(__i386__) | |
2989 | ||
2990 | notimpl | |
2991 | ||
2992 | #elif defined(__arm__) | |
2993 | ||
2994 | notimpl | |
2995 | ||
2996 | #elif defined(__aarch64__) | |
2997 | ||
2998 | notimpl | |
2999 | ||
3000 | #else | |
3001 | notimpl | |
3002 | #endif | |
06297a93 MW |
3003 | |
3004 | ret | |
3005 | ||
3006 | endproc | |
3007 | ||
3008 | proc x31 | |
3009 | ||
90c4eee3 MW |
3010 | #if defined(__x86_64__) |
3011 | ||
3012 | notimpl | |
3013 | ||
3014 | #elif defined(__i386__) | |
3015 | ||
3016 | notimpl | |
3017 | ||
3018 | #elif defined(__arm__) | |
3019 | ||
3020 | notimpl | |
3021 | ||
3022 | #elif defined(__aarch64__) | |
3023 | ||
3024 | notimpl | |
3025 | ||
3026 | #else | |
3027 | notimpl | |
3028 | #endif | |
06297a93 MW |
3029 | |
3030 | endproc | |
3031 | ||
3032 | proc x32 | |
3033 | ||
90c4eee3 MW |
3034 | #if defined(__x86_64__) |
3035 | ||
3036 | notimpl | |
3037 | ||
3038 | #elif defined(__i386__) | |
3039 | ||
3040 | notimpl | |
3041 | ||
3042 | #elif defined(__arm__) | |
3043 | ||
3044 | notimpl | |
3045 | ||
3046 | #elif defined(__aarch64__) | |
3047 | ||
3048 | notimpl | |
3049 | ||
3050 | #else | |
3051 | notimpl | |
3052 | #endif | |
06297a93 MW |
3053 | |
3054 | endproc | |
3055 | ||
3056 | proc x33 | |
3057 | ||
90c4eee3 MW |
3058 | #if defined(__x86_64__) |
3059 | ||
3060 | notimpl | |
3061 | ||
3062 | #elif defined(__i386__) | |
3063 | ||
3064 | notimpl | |
3065 | ||
3066 | #elif defined(__arm__) | |
3067 | ||
3068 | notimpl | |
3069 | ||
3070 | #elif defined(__aarch64__) | |
3071 | ||
3072 | notimpl | |
3073 | ||
3074 | #else | |
3075 | notimpl | |
3076 | #endif | |
06297a93 MW |
3077 | |
3078 | endproc | |
3079 | ||
3080 | proc x34 | |
3081 | ||
90c4eee3 MW |
3082 | #if defined(__x86_64__) |
3083 | ||
3084 | notimpl | |
3085 | ||
3086 | #elif defined(__i386__) | |
3087 | ||
3088 | notimpl | |
3089 | ||
3090 | #elif defined(__arm__) | |
3091 | ||
3092 | notimpl | |
3093 | ||
3094 | #elif defined(__aarch64__) | |
3095 | ||
3096 | notimpl | |
3097 | ||
3098 | #else | |
3099 | notimpl | |
3100 | #endif | |
06297a93 MW |
3101 | |
3102 | endproc | |
3103 | ||
3104 | proc x35 | |
3105 | ||
90c4eee3 MW |
3106 | #if defined(__x86_64__) |
3107 | ||
3108 | notimpl | |
3109 | ||
3110 | #elif defined(__i386__) | |
3111 | ||
3112 | notimpl | |
3113 | ||
3114 | #elif defined(__arm__) | |
3115 | ||
3116 | notimpl | |
3117 | ||
3118 | #elif defined(__aarch64__) | |
3119 | ||
3120 | notimpl | |
3121 | ||
3122 | #else | |
3123 | notimpl | |
3124 | #endif | |
06297a93 MW |
3125 | |
3126 | endproc | |
3127 | ||
3128 | proc x36 | |
3129 | ||
90c4eee3 MW |
3130 | #if defined(__x86_64__) |
3131 | ||
3132 | notimpl | |
3133 | ||
3134 | #elif defined(__i386__) | |
3135 | ||
3136 | notimpl | |
3137 | ||
3138 | #elif defined(__arm__) | |
3139 | ||
3140 | notimpl | |
3141 | ||
3142 | #elif defined(__aarch64__) | |
3143 | ||
3144 | notimpl | |
3145 | ||
3146 | #else | |
3147 | notimpl | |
3148 | #endif | |
06297a93 MW |
3149 | |
3150 | endproc | |
3151 | ||
3152 | proc x37 | |
3153 | ||
90c4eee3 MW |
3154 | #if defined(__x86_64__) |
3155 | ||
3156 | notimpl | |
3157 | ||
3158 | #elif defined(__i386__) | |
3159 | ||
3160 | notimpl | |
3161 | ||
3162 | #elif defined(__arm__) | |
3163 | ||
3164 | notimpl | |
3165 | ||
3166 | #elif defined(__aarch64__) | |
3167 | ||
3168 | notimpl | |
3169 | ||
3170 | #else | |
3171 | notimpl | |
3172 | #endif | |
06297a93 MW |
3173 | |
3174 | endproc | |
3175 | ||
3176 | proc x38 | |
3177 | ||
90c4eee3 MW |
3178 | #if defined(__x86_64__) |
3179 | ||
3180 | notimpl | |
3181 | ||
3182 | #elif defined(__i386__) | |
3183 | ||
3184 | notimpl | |
3185 | ||
3186 | #elif defined(__arm__) | |
3187 | ||
3188 | notimpl | |
3189 | ||
3190 | #elif defined(__aarch64__) | |
3191 | ||
3192 | notimpl | |
3193 | ||
3194 | #else | |
3195 | notimpl | |
3196 | #endif | |
06297a93 MW |
3197 | |
3198 | endproc | |
3199 | ||
3200 | proc x39 | |
3201 | ||
90c4eee3 MW |
3202 | #if defined(__x86_64__) |
3203 | ||
3204 | notimpl | |
3205 | ||
3206 | #elif defined(__i386__) | |
3207 | ||
3208 | notimpl | |
3209 | ||
3210 | #elif defined(__arm__) | |
3211 | ||
3212 | notimpl | |
3213 | ||
3214 | #elif defined(__aarch64__) | |
3215 | ||
3216 | notimpl | |
3217 | ||
3218 | #else | |
3219 | notimpl | |
3220 | #endif | |
06297a93 MW |
3221 | |
3222 | endproc | |
3223 | ||
3224 | proc x3a | |
3225 | ||
90c4eee3 MW |
3226 | #if defined(__x86_64__) |
3227 | ||
3228 | notimpl | |
3229 | ||
3230 | #elif defined(__i386__) | |
3231 | ||
3232 | notimpl | |
3233 | ||
3234 | #elif defined(__arm__) | |
3235 | ||
3236 | notimpl | |
3237 | ||
3238 | #elif defined(__aarch64__) | |
3239 | ||
3240 | notimpl | |
3241 | ||
3242 | #else | |
3243 | notimpl | |
3244 | #endif | |
06297a93 MW |
3245 | |
3246 | endproc | |
3247 | ||
3248 | proc x3b | |
3249 | ||
90c4eee3 MW |
3250 | #if defined(__x86_64__) |
3251 | ||
3252 | notimpl | |
3253 | ||
3254 | #elif defined(__i386__) | |
3255 | ||
3256 | notimpl | |
3257 | ||
3258 | #elif defined(__arm__) | |
3259 | ||
3260 | notimpl | |
3261 | ||
3262 | #elif defined(__aarch64__) | |
3263 | ||
3264 | notimpl | |
3265 | ||
3266 | #else | |
3267 | notimpl | |
3268 | #endif | |
06297a93 MW |
3269 | |
3270 | endproc | |
3271 | ||
3272 | proc x3c | |
3273 | ||
90c4eee3 MW |
3274 | #if defined(__x86_64__) |
3275 | ||
3276 | notimpl | |
3277 | ||
3278 | #elif defined(__i386__) | |
3279 | ||
3280 | notimpl | |
3281 | ||
3282 | #elif defined(__arm__) | |
3283 | ||
3284 | notimpl | |
3285 | ||
3286 | #elif defined(__aarch64__) | |
3287 | ||
3288 | notimpl | |
3289 | ||
3290 | #else | |
3291 | notimpl | |
3292 | #endif | |
06297a93 MW |
3293 | |
3294 | endproc | |
3295 | ||
3296 | proc x3d | |
3297 | ||
90c4eee3 MW |
3298 | #if defined(__x86_64__) |
3299 | ||
3300 | notimpl | |
3301 | ||
3302 | #elif defined(__i386__) | |
3303 | ||
3304 | notimpl | |
3305 | ||
3306 | #elif defined(__arm__) | |
3307 | ||
3308 | notimpl | |
3309 | ||
3310 | #elif defined(__aarch64__) | |
3311 | ||
3312 | notimpl | |
3313 | ||
3314 | #else | |
3315 | notimpl | |
3316 | #endif | |
06297a93 MW |
3317 | |
3318 | endproc | |
3319 | ||
3320 | proc x3e | |
3321 | ||
90c4eee3 MW |
3322 | #if defined(__x86_64__) |
3323 | ||
3324 | notimpl | |
3325 | ||
3326 | #elif defined(__i386__) | |
3327 | ||
3328 | notimpl | |
3329 | ||
3330 | #elif defined(__arm__) | |
3331 | ||
3332 | notimpl | |
3333 | ||
3334 | #elif defined(__aarch64__) | |
3335 | ||
3336 | notimpl | |
3337 | ||
3338 | #else | |
3339 | notimpl | |
3340 | #endif | |
06297a93 MW |
3341 | |
3342 | endproc | |
3343 | ||
3344 | proc x3f | |
3345 | ||
90c4eee3 MW |
3346 | #if defined(__x86_64__) |
3347 | ||
3348 | notimpl | |
3349 | ||
3350 | #elif defined(__i386__) | |
3351 | ||
3352 | notimpl | |
3353 | ||
3354 | #elif defined(__arm__) | |
3355 | ||
3356 | notimpl | |
3357 | ||
3358 | #elif defined(__aarch64__) | |
3359 | ||
3360 | notimpl | |
3361 | ||
3362 | #else | |
3363 | notimpl | |
3364 | #endif | |
06297a93 MW |
3365 | |
3366 | endproc | |
90c4eee3 MW |
3367 | |
3368 | ///----- That's all, folks -------------------------------------------------- |