ec/asm/ecp_nistz256-*.pl: get corner case logic right.
[openssl.git] / crypto / ec / asm / ecp_nistz256-x86.pl
1 #!/usr/bin/env perl
2
3 # ====================================================================
4 # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
5 # project. The module is, however, dual licensed under OpenSSL and
6 # CRYPTOGAMS licenses depending on where you obtain it. For further
7 # details see http://www.openssl.org/~appro/cryptogams/.
8 # ====================================================================
9 #
10 # ECP_NISTZ256 module for x86/SSE2.
11 #
12 # October 2014.
13 #
14 # Original ECP_NISTZ256 submission targeting x86_64 is detailed in
15 # http://eprint.iacr.org/2013/816. In the process of adaptation
16 # original .c module was made 32-bit savvy in order to make this
17 # implementation possible.
18 #
19 #               with/without -DECP_NISTZ256_ASM
20 # Pentium       +66-163%
21 # PIII          +72-172%
22 # P4            +65-132%
23 # Core2         +90-215%
24 # Sandy Bridge  +105-265% (contemporary i[57]-* are all close to this)
25 # Atom          +65-155%
26 # Opteron       +54-110%
27 # Bulldozer     +99-240%
28 # VIA Nano      +93-290%
29 #
30 # Ranges denote minimum and maximum improvement coefficients depending
31 # on benchmark. Lower coefficients are for ECDSA sign, server-side
32 # operation. Keep in mind that +200% means 3x improvement.
33
34 $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
35 push(@INC,"${dir}","${dir}../../perlasm");
36 require "x86asm.pl";
37
38 &asm_init($ARGV[0],"ecp_nistz256-x86.pl",$ARGV[$#ARGV] eq "386");
39
40 $sse2=0;
41 for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }
42
43 &external_label("OPENSSL_ia32cap_P") if ($sse2);
44
45
46 ########################################################################
47 # Convert ecp_nistz256_table.c to layout expected by ecp_nistz_gather_w7
48 #
49 open TABLE,"<ecp_nistz256_table.c"              or
50 open TABLE,"<${dir}../ecp_nistz256_table.c"     or
51 die "failed to open ecp_nistz256_table.c:",$!;
52
53 use integer;
54
55 foreach(<TABLE>) {
56         s/TOBN\(\s*(0x[0-9a-f]+),\s*(0x[0-9a-f]+)\s*\)/push @arr,hex($2),hex($1)/geo;
57 }
58 close TABLE;
59
60 # See ecp_nistz256_table.c for explanation for why it's 64*16*37.
61 # 64*16*37-1 is because $#arr returns last valid index or @arr, not
62 # amount of elements.
63 die "insane number of elements" if ($#arr != 64*16*37-1);
64
65 &public_label("ecp_nistz256_precomputed");
66 &align(4096);
67 &set_label("ecp_nistz256_precomputed");
68
69 ########################################################################
70 # this conversion smashes P256_POINT_AFFINE by individual bytes with
71 # 64 byte interval, similar to
72 #       1111222233334444
73 #       1234123412341234
74 for(1..37) {
75         @tbl = splice(@arr,0,64*16);
76         for($i=0;$i<64;$i++) {
77                 undef @line;
78                 for($j=0;$j<64;$j++) {
79                         push @line,(@tbl[$j*16+$i/4]>>(($i%4)*8))&0xff;
80                 }
81                 &data_byte(join(',',map { sprintf "0x%02x",$_} @line));
82         }
83 }
84
85 ########################################################################
86 # Keep in mind that constants are stored least to most significant word
87 &static_label("RR");
88 &set_label("RR",64);
89 &data_word(3,0,-1,-5,-2,-1,-3,4);       # 2^512 mod P-256
90
91 &static_label("ONE_mont");
92 &set_label("ONE_mont");
93 &data_word(1,0,0,-1,-1,-1,-2,0);
94
95 &static_label("ONE");
96 &set_label("ONE");
97 &data_word(1,0,0,0,0,0,0,0);
98 &asciz("ECP_NISZ256 for x86/SSE2, CRYPTOGAMS by <appro\@openssl.org>");
99 &align(64);
100
101 ########################################################################
102 # void ecp_nistz256_mul_by_2(BN_ULONG edi[8],const BN_ULONG esi[8]);
103 &function_begin("ecp_nistz256_mul_by_2");
104         &mov    ("esi",&wparam(1));
105         &mov    ("edi",&wparam(0));
106         &mov    ("ebp","esi");
107 ########################################################################
108 # common pattern for internal functions is that %edi is result pointer,
109 # %esi and %ebp are input ones, %ebp being optional. %edi is preserved.
110         &call   ("_ecp_nistz256_add");
111 &function_end("ecp_nistz256_mul_by_2");
112
113 ########################################################################
114 # void ecp_nistz256_mul_by_3(BN_ULONG edi[8],const BN_ULONG esi[8]);
115 &function_begin("ecp_nistz256_mul_by_3");
116         &mov    ("esi",&wparam(1));
117                                         # multiplication by 3 is performed
118                                         # as 2*n+n, but we can't use output
119                                         # to store 2*n, because if output
120                                         # pointer equals to input, then
121                                         # we'll get 2*n+2*n.
122         &stack_push(8);                 # therefore we need to allocate
123                                         # 256-bit intermediate buffer.
124         &mov    ("edi","esp");
125         &mov    ("ebp","esi");
126         &call   ("_ecp_nistz256_add");
127         &lea    ("esi",&DWP(0,"edi"));
128         &mov    ("ebp",&wparam(1));
129         &mov    ("edi",&wparam(0));
130         &call   ("_ecp_nistz256_add");
131         &stack_pop(8);
132 &function_end("ecp_nistz256_mul_by_3");
133
134 ########################################################################
135 # void ecp_nistz256_div_by_2(BN_ULONG edi[8],const BN_ULONG esi[8]);
136 &function_begin("ecp_nistz256_div_by_2");
137         &mov    ("esi",&wparam(1));
138         &mov    ("edi",&wparam(0));
139         &call   ("_ecp_nistz256_div_by_2");
140 &function_end("ecp_nistz256_div_by_2");
141
142 &function_begin_B("_ecp_nistz256_div_by_2");
143         # tmp = a is odd ? a+mod : a
144         #
145         # note that because mod has special form, i.e. consists of
146         # 0xffffffff, 1 and 0s, we can conditionally synthesize it by
147         # assigning least significant bit of input to one register,
148         # %ebp, and its negative to another, %edx.
149
150         &mov    ("ebp",&DWP(0,"esi"));
151         &xor    ("edx","edx");
152         &mov    ("ebx",&DWP(4,"esi"));
153         &mov    ("eax","ebp");
154         &and    ("ebp",1);
155         &mov    ("ecx",&DWP(8,"esi"));
156         &sub    ("edx","ebp");
157
158         &add    ("eax","edx");
159         &adc    ("ebx","edx");
160         &mov    (&DWP(0,"edi"),"eax");
161         &adc    ("ecx","edx");
162         &mov    (&DWP(4,"edi"),"ebx");
163         &mov    (&DWP(8,"edi"),"ecx");
164
165         &mov    ("eax",&DWP(12,"esi"));
166         &mov    ("ebx",&DWP(16,"esi"));
167         &adc    ("eax",0);
168         &mov    ("ecx",&DWP(20,"esi"));
169         &adc    ("ebx",0);
170         &mov    (&DWP(12,"edi"),"eax");
171         &adc    ("ecx",0);
172         &mov    (&DWP(16,"edi"),"ebx");
173         &mov    (&DWP(20,"edi"),"ecx");
174
175         &mov    ("eax",&DWP(24,"esi"));
176         &mov    ("ebx",&DWP(28,"esi"));
177         &adc    ("eax","ebp");
178         &adc    ("ebx","edx");
179         &mov    (&DWP(24,"edi"),"eax");
180         &sbb    ("esi","esi");                  # broadcast carry bit
181         &mov    (&DWP(28,"edi"),"ebx");
182
183         # ret = tmp >> 1
184
185         &mov    ("eax",&DWP(0,"edi"));
186         &mov    ("ebx",&DWP(4,"edi"));
187         &mov    ("ecx",&DWP(8,"edi"));
188         &mov    ("edx",&DWP(12,"edi"));
189
190         &shr    ("eax",1);
191         &mov    ("ebp","ebx");
192         &shl    ("ebx",31);
193         &or     ("eax","ebx");
194
195         &shr    ("ebp",1);
196         &mov    ("ebx","ecx");
197         &shl    ("ecx",31);
198         &mov    (&DWP(0,"edi"),"eax");
199         &or     ("ebp","ecx");
200         &mov    ("eax",&DWP(16,"edi"));
201
202         &shr    ("ebx",1);
203         &mov    ("ecx","edx");
204         &shl    ("edx",31);
205         &mov    (&DWP(4,"edi"),"ebp");
206         &or     ("ebx","edx");
207         &mov    ("ebp",&DWP(20,"edi"));
208
209         &shr    ("ecx",1);
210         &mov    ("edx","eax");
211         &shl    ("eax",31);
212         &mov    (&DWP(8,"edi"),"ebx");
213         &or     ("ecx","eax");
214         &mov    ("ebx",&DWP(24,"edi"));
215
216         &shr    ("edx",1);
217         &mov    ("eax","ebp");
218         &shl    ("ebp",31);
219         &mov    (&DWP(12,"edi"),"ecx");
220         &or     ("edx","ebp");
221         &mov    ("ecx",&DWP(28,"edi"));
222
223         &shr    ("eax",1);
224         &mov    ("ebp","ebx");
225         &shl    ("ebx",31);
226         &mov    (&DWP(16,"edi"),"edx");
227         &or     ("eax","ebx");
228
229         &shr    ("ebp",1);
230         &mov    ("ebx","ecx");
231         &shl    ("ecx",31);
232         &mov    (&DWP(20,"edi"),"eax");
233         &or     ("ebp","ecx");
234
235         &shr    ("ebx",1);
236         &shl    ("esi",31);
237         &mov    (&DWP(24,"edi"),"ebp");
238         &or     ("ebx","esi");                  # handle top-most carry bit
239         &mov    (&DWP(28,"edi"),"ebx");
240
241         &ret    ();
242 &function_end_B("_ecp_nistz256_div_by_2");
243
244 ########################################################################
245 # void ecp_nistz256_add(BN_ULONG edi[8],const BN_ULONG esi[8],
246 #                                       const BN_ULONG ebp[8]);
247 &function_begin("ecp_nistz256_add");
248         &mov    ("esi",&wparam(1));
249         &mov    ("ebp",&wparam(2));
250         &mov    ("edi",&wparam(0));
251         &call   ("_ecp_nistz256_add");
252 &function_end("ecp_nistz256_add");
253
254 &function_begin_B("_ecp_nistz256_add");
255         &mov    ("eax",&DWP(0,"esi"));
256         &mov    ("ebx",&DWP(4,"esi"));
257         &mov    ("ecx",&DWP(8,"esi"));
258         &add    ("eax",&DWP(0,"ebp"));
259         &mov    ("edx",&DWP(12,"esi"));
260         &adc    ("ebx",&DWP(4,"ebp"));
261         &mov    (&DWP(0,"edi"),"eax");
262         &adc    ("ecx",&DWP(8,"ebp"));
263         &mov    (&DWP(4,"edi"),"ebx");
264         &adc    ("edx",&DWP(12,"ebp"));
265         &mov    (&DWP(8,"edi"),"ecx");
266         &mov    (&DWP(12,"edi"),"edx");
267
268         &mov    ("eax",&DWP(16,"esi"));
269         &mov    ("ebx",&DWP(20,"esi"));
270         &mov    ("ecx",&DWP(24,"esi"));
271         &adc    ("eax",&DWP(16,"ebp"));
272         &mov    ("edx",&DWP(28,"esi"));
273         &adc    ("ebx",&DWP(20,"ebp"));
274         &mov    (&DWP(16,"edi"),"eax");
275         &adc    ("ecx",&DWP(24,"ebp"));
276         &mov    (&DWP(20,"edi"),"ebx");
277         &adc    ("edx",&DWP(28,"ebp"));
278         &mov    (&DWP(24,"edi"),"ecx");
279         &sbb    ("esi","esi");                  # broadcast carry bit
280         &mov    (&DWP(28,"edi"),"edx");
281
282         # if a+b carries, subtract modulus.
283         #
284         # Note that because mod has special form, i.e. consists of
285         # 0xffffffff, 1 and 0s, we can conditionally synthesize it by
286         # assigning carry bit to one register, %ebp, and its negative
287         # to another, %esi. But we started by calculating %esi...
288
289         &mov    ("eax",&DWP(0,"edi"));
290         &mov    ("ebp","esi");
291         &mov    ("ebx",&DWP(4,"edi"));
292         &shr    ("ebp",31);
293         &mov    ("ecx",&DWP(8,"edi"));
294         &sub    ("eax","esi");
295         &mov    ("edx",&DWP(12,"edi"));
296         &sbb    ("ebx","esi");
297         &mov    (&DWP(0,"edi"),"eax");
298         &sbb    ("ecx","esi");
299         &mov    (&DWP(4,"edi"),"ebx");
300         &sbb    ("edx",0);
301         &mov    (&DWP(8,"edi"),"ecx");
302         &mov    (&DWP(12,"edi"),"edx");
303
304         &mov    ("eax",&DWP(16,"edi"));
305         &mov    ("ebx",&DWP(20,"edi"));
306         &mov    ("ecx",&DWP(24,"edi"));
307         &sbb    ("eax",0);
308         &mov    ("edx",&DWP(28,"edi"));
309         &sbb    ("ebx",0);
310         &mov    (&DWP(16,"edi"),"eax");
311         &sbb    ("ecx","ebp");
312         &mov    (&DWP(20,"edi"),"ebx");
313         &sbb    ("edx","esi");
314         &mov    (&DWP(24,"edi"),"ecx");
315         &mov    (&DWP(28,"edi"),"edx");
316
317         &ret    ();
318 &function_end_B("_ecp_nistz256_add");
319
320 ########################################################################
321 # void ecp_nistz256_sub(BN_ULONG edi[8],const BN_ULONG esi[8],
322 #                                       const BN_ULONG ebp[8]);
323 &function_begin("ecp_nistz256_sub");
324         &mov    ("esi",&wparam(1));
325         &mov    ("ebp",&wparam(2));
326         &mov    ("edi",&wparam(0));
327         &call   ("_ecp_nistz256_sub");
328 &function_end("ecp_nistz256_sub");
329
330 &function_begin_B("_ecp_nistz256_sub");
331         &mov    ("eax",&DWP(0,"esi"));
332         &mov    ("ebx",&DWP(4,"esi"));
333         &mov    ("ecx",&DWP(8,"esi"));
334         &sub    ("eax",&DWP(0,"ebp"));
335         &mov    ("edx",&DWP(12,"esi"));
336         &sbb    ("ebx",&DWP(4,"ebp"));
337         &mov    (&DWP(0,"edi"),"eax");
338         &sbb    ("ecx",&DWP(8,"ebp"));
339         &mov    (&DWP(4,"edi"),"ebx");
340         &sbb    ("edx",&DWP(12,"ebp"));
341         &mov    (&DWP(8,"edi"),"ecx");
342         &mov    (&DWP(12,"edi"),"edx");
343
344         &mov    ("eax",&DWP(16,"esi"));
345         &mov    ("ebx",&DWP(20,"esi"));
346         &mov    ("ecx",&DWP(24,"esi"));
347         &sbb    ("eax",&DWP(16,"ebp"));
348         &mov    ("edx",&DWP(28,"esi"));
349         &sbb    ("ebx",&DWP(20,"ebp"));
350         &sbb    ("ecx",&DWP(24,"ebp"));
351         &mov    (&DWP(16,"edi"),"eax");
352         &sbb    ("edx",&DWP(28,"ebp"));
353         &mov    (&DWP(20,"edi"),"ebx");
354         &sbb    ("esi","esi");                  # broadcast borrow bit
355         &mov    (&DWP(24,"edi"),"ecx");
356         &mov    (&DWP(28,"edi"),"edx");
357
358         # if a-b borrows, add modulus.
359         #
360         # Note that because mod has special form, i.e. consists of
361         # 0xffffffff, 1 and 0s, we can conditionally synthesize it by
362         # assigning borrow bit to one register, %ebp, and its negative
363         # to another, %esi. But we started by calculating %esi...
364
365         &mov    ("eax",&DWP(0,"edi"));
366         &mov    ("ebp","esi");
367         &mov    ("ebx",&DWP(4,"edi"));
368         &shr    ("ebp",31);
369         &mov    ("ecx",&DWP(8,"edi"));
370         &add    ("eax","esi");
371         &mov    ("edx",&DWP(12,"edi"));
372         &adc    ("ebx","esi");
373         &mov    (&DWP(0,"edi"),"eax");
374         &adc    ("ecx","esi");
375         &mov    (&DWP(4,"edi"),"ebx");
376         &adc    ("edx",0);
377         &mov    (&DWP(8,"edi"),"ecx");
378         &mov    (&DWP(12,"edi"),"edx");
379
380         &mov    ("eax",&DWP(16,"edi"));
381         &mov    ("ebx",&DWP(20,"edi"));
382         &mov    ("ecx",&DWP(24,"edi"));
383         &adc    ("eax",0);
384         &mov    ("edx",&DWP(28,"edi"));
385         &adc    ("ebx",0);
386         &mov    (&DWP(16,"edi"),"eax");
387         &adc    ("ecx","ebp");
388         &mov    (&DWP(20,"edi"),"ebx");
389         &adc    ("edx","esi");
390         &mov    (&DWP(24,"edi"),"ecx");
391         &mov    (&DWP(28,"edi"),"edx");
392
393         &ret    ();
394 &function_end_B("_ecp_nistz256_sub");
395
396 ########################################################################
397 # void ecp_nistz256_neg(BN_ULONG edi[8],const BN_ULONG esi[8]);
398 &function_begin("ecp_nistz256_neg");
399         &mov    ("ebp",&wparam(1));
400         &mov    ("edi",&wparam(0));
401
402         &xor    ("eax","eax");
403         &stack_push(8);
404         &mov    (&DWP(0,"esp"),"eax");
405         &mov    ("esi","esp");
406         &mov    (&DWP(4,"esp"),"eax");
407         &mov    (&DWP(8,"esp"),"eax");
408         &mov    (&DWP(12,"esp"),"eax");
409         &mov    (&DWP(16,"esp"),"eax");
410         &mov    (&DWP(20,"esp"),"eax");
411         &mov    (&DWP(24,"esp"),"eax");
412         &mov    (&DWP(28,"esp"),"eax");
413         
414         &call   ("_ecp_nistz256_sub");
415
416         &stack_pop(8);
417 &function_end("ecp_nistz256_neg");
418
419 &function_begin_B("_picup_eax");
420         &mov    ("eax",&DWP(0,"esp"));
421         &ret    ();
422 &function_end_B("_picup_eax");
423
424 ########################################################################
425 # void ecp_nistz256_to_mont(BN_ULONG edi[8],const BN_ULONG esi[8]);
426 &function_begin("ecp_nistz256_to_mont");
427         &mov    ("esi",&wparam(1));
428         &call   ("_picup_eax");
429     &set_label("pic");
430         &lea    ("ebp",&DWP(&label("RR")."-".&label("pic"),"eax"));
431                                                 if ($sse2) {
432         &picmeup("eax","OPENSSL_ia32cap_P","eax",&label("pic"));
433         &mov    ("eax",&DWP(0,"eax"));          }
434         &mov    ("edi",&wparam(0));
435         &call   ("_ecp_nistz256_mul_mont");
436 &function_end("ecp_nistz256_to_mont");
437
438 ########################################################################
439 # void ecp_nistz256_from_mont(BN_ULONG edi[8],const BN_ULONG esi[8]);
440 &function_begin("ecp_nistz256_from_mont");
441         &mov    ("esi",&wparam(1));
442         &call   ("_picup_eax");
443     &set_label("pic");
444         &lea    ("ebp",&DWP(&label("ONE")."-".&label("pic"),"eax"));
445                                                 if ($sse2) {
446         &picmeup("eax","OPENSSL_ia32cap_P","eax",&label("pic"));
447         &mov    ("eax",&DWP(0,"eax"));          }
448         &mov    ("edi",&wparam(0));
449         &call   ("_ecp_nistz256_mul_mont");
450 &function_end("ecp_nistz256_from_mont");
451
452 ########################################################################
453 # void ecp_nistz256_mul_mont(BN_ULONG edi[8],const BN_ULONG esi[8],
454 #                                            const BN_ULONG ebp[8]);
455 &function_begin("ecp_nistz256_mul_mont");
456         &mov    ("esi",&wparam(1));
457         &mov    ("ebp",&wparam(2));
458                                                 if ($sse2) {
459         &call   ("_picup_eax");
460     &set_label("pic");
461         &picmeup("eax","OPENSSL_ia32cap_P","eax",&label("pic"));
462         &mov    ("eax",&DWP(0,"eax"));          }
463         &mov    ("edi",&wparam(0));
464         &call   ("_ecp_nistz256_mul_mont");
465 &function_end("ecp_nistz256_mul_mont");
466
467 ########################################################################
468 # void ecp_nistz256_sqr_mont(BN_ULONG edi[8],const BN_ULONG esi[8]);
469 &function_begin("ecp_nistz256_sqr_mont");
470         &mov    ("esi",&wparam(1));
471                                                 if ($sse2) {
472         &call   ("_picup_eax");
473     &set_label("pic");
474         &picmeup("eax","OPENSSL_ia32cap_P","eax",&label("pic"));
475         &mov    ("eax",&DWP(0,"eax"));          }
476         &mov    ("edi",&wparam(0));
477         &mov    ("ebp","esi");
478         &call   ("_ecp_nistz256_mul_mont");
479 &function_end("ecp_nistz256_sqr_mont");
480
481 &function_begin_B("_ecp_nistz256_mul_mont");
482                                                 if ($sse2) {
483         &and    ("eax",1<<24|1<<26);
484         &cmp    ("eax",1<<24|1<<26);            # see if XMM+SSE2 is on
485         &jne    (&label("mul_mont_ialu"));
486
487         ########################################
488         # SSE2 code path featuring 32x16-bit
489         # multiplications is ~2x faster than
490         # IALU counterpart (except on Atom)...
491         ########################################
492         # stack layout:
493         # +------------------------------------+< %esp
494         # | 7 16-byte temporary XMM words,     |
495         # | "sliding" toward lower address     |
496         # .                                    .
497         # +------------------------------------+
498         # | unused XMM word                    |
499         # +------------------------------------+< +128,%ebx
500         # | 8 16-byte XMM words holding copies |
501         # | of a[i]<<64|a[i]                   |
502         # .                                    .
503         # .                                    .
504         # +------------------------------------+< +256
505         &mov    ("edx","esp");
506         &sub    ("esp",0x100);
507
508         &movd   ("xmm7",&DWP(0,"ebp"));         # b[0] -> 0000.00xy
509         &lea    ("ebp",&DWP(4,"ebp"));
510         &pcmpeqd("xmm6","xmm6");
511         &psrlq  ("xmm6",48);                    # compose 0xffff<<64|0xffff
512
513         &pshuflw("xmm7","xmm7",0b11011100);     # 0000.00xy -> 0000.0x0y
514         &and    ("esp",-64);
515         &pshufd ("xmm7","xmm7",0b11011100);     # 0000.0x0y -> 000x.000y
516         &lea    ("ebx",&DWP(0x80,"esp"));
517
518         &movd   ("xmm0",&DWP(4*0,"esi"));       # a[0] -> 0000.00xy
519         &pshufd ("xmm0","xmm0",0b11001100);     # 0000.00xy -> 00xy.00xy
520         &movd   ("xmm1",&DWP(4*1,"esi"));       # a[1] -> ...
521         &movdqa (&QWP(0x00,"ebx"),"xmm0");      # offload converted a[0]
522         &pmuludq("xmm0","xmm7");                # a[0]*b[0]
523
524         &movd   ("xmm2",&DWP(4*2,"esi"));
525         &pshufd ("xmm1","xmm1",0b11001100);
526         &movdqa (&QWP(0x10,"ebx"),"xmm1");
527         &pmuludq("xmm1","xmm7");                # a[1]*b[0]
528
529          &movq  ("xmm4","xmm0");                # clear upper 64 bits
530          &pslldq("xmm4",6);
531          &paddq ("xmm4","xmm0");
532          &movdqa("xmm5","xmm4");
533          &psrldq("xmm4",10);                    # upper 32 bits of a[0]*b[0]
534          &pand  ("xmm5","xmm6");                # lower 32 bits of a[0]*b[0]
535
536         # Upper half of a[0]*b[i] is carried into next multiplication
537         # iteration, while lower one "participates" in actual reduction.
538         # Normally latter is done by accumulating result of multiplication
539         # of modulus by "magic" digit, but thanks to special form of modulus
540         # and "magic" digit it can be performed only with additions and
541         # subtractions (see note in IALU section below). Note that we are
542         # not bothered with carry bits, they are accumulated in "flatten"
543         # phase after all multiplications and reductions.
544
545         &movd   ("xmm3",&DWP(4*3,"esi"));
546         &pshufd ("xmm2","xmm2",0b11001100);
547         &movdqa (&QWP(0x20,"ebx"),"xmm2");
548         &pmuludq("xmm2","xmm7");                # a[2]*b[0]
549          &paddq ("xmm1","xmm4");                # a[1]*b[0]+hw(a[0]*b[0]), carry
550         &movdqa (&QWP(0x00,"esp"),"xmm1");      # t[0]
551
552         &movd   ("xmm0",&DWP(4*4,"esi"));
553         &pshufd ("xmm3","xmm3",0b11001100);
554         &movdqa (&QWP(0x30,"ebx"),"xmm3");
555         &pmuludq("xmm3","xmm7");                # a[3]*b[0]
556         &movdqa (&QWP(0x10,"esp"),"xmm2");
557
558         &movd   ("xmm1",&DWP(4*5,"esi"));
559         &pshufd ("xmm0","xmm0",0b11001100);
560         &movdqa (&QWP(0x40,"ebx"),"xmm0");
561         &pmuludq("xmm0","xmm7");                # a[4]*b[0]
562          &paddq ("xmm3","xmm5");                # a[3]*b[0]+lw(a[0]*b[0]), reduction step
563         &movdqa (&QWP(0x20,"esp"),"xmm3");
564
565         &movd   ("xmm2",&DWP(4*6,"esi"));
566         &pshufd ("xmm1","xmm1",0b11001100);
567         &movdqa (&QWP(0x50,"ebx"),"xmm1");
568         &pmuludq("xmm1","xmm7");                # a[5]*b[0]
569         &movdqa (&QWP(0x30,"esp"),"xmm0");
570          &pshufd("xmm4","xmm5",0b10110001);     # xmm4 = xmm5<<32, reduction step
571
572         &movd   ("xmm3",&DWP(4*7,"esi"));
573         &pshufd ("xmm2","xmm2",0b11001100);
574         &movdqa (&QWP(0x60,"ebx"),"xmm2");
575         &pmuludq("xmm2","xmm7");                # a[6]*b[0]
576         &movdqa (&QWP(0x40,"esp"),"xmm1");
577          &psubq ("xmm4","xmm5");                # xmm4 = xmm5*0xffffffff, reduction step
578
579         &movd   ("xmm0",&DWP(0,"ebp"));         # b[1] -> 0000.00xy
580         &pshufd ("xmm3","xmm3",0b11001100);
581         &movdqa (&QWP(0x70,"ebx"),"xmm3");
582         &pmuludq("xmm3","xmm7");                # a[7]*b[0]
583
584         &pshuflw("xmm7","xmm0",0b11011100);     # 0000.00xy -> 0000.0x0y
585         &movdqa ("xmm0",&QWP(0x00,"ebx"));      # pre-load converted a[0]
586         &pshufd ("xmm7","xmm7",0b11011100);     # 0000.0x0y -> 000x.000y
587
588         &mov    ("ecx",6);
589         &lea    ("ebp",&DWP(4,"ebp"));
590         &jmp    (&label("madd_sse2"));
591
592 &set_label("madd_sse2",16);
593          &paddq ("xmm2","xmm5");                # a[6]*b[i-1]+lw(a[0]*b[i-1]), reduction step [modulo-scheduled]
594          &paddq ("xmm3","xmm4");                # a[7]*b[i-1]+lw(a[0]*b[i-1])*0xffffffff, reduction step [modulo-scheduled]
595         &movdqa ("xmm1",&QWP(0x10,"ebx"));
596         &pmuludq("xmm0","xmm7");                # a[0]*b[i]
597          &movdqa(&QWP(0x50,"esp"),"xmm2");
598
599         &movdqa ("xmm2",&QWP(0x20,"ebx"));
600         &pmuludq("xmm1","xmm7");                # a[1]*b[i]
601          &movdqa(&QWP(0x60,"esp"),"xmm3");
602         &paddq  ("xmm0",&QWP(0x00,"esp"));
603
604         &movdqa ("xmm3",&QWP(0x30,"ebx"));
605         &pmuludq("xmm2","xmm7");                # a[2]*b[i]
606          &movq  ("xmm4","xmm0");                # clear upper 64 bits
607          &pslldq("xmm4",6);
608         &paddq  ("xmm1",&QWP(0x10,"esp"));
609          &paddq ("xmm4","xmm0");
610          &movdqa("xmm5","xmm4");
611          &psrldq("xmm4",10);                    # upper 33 bits of a[0]*b[i]+t[0]
612
613         &movdqa ("xmm0",&QWP(0x40,"ebx"));
614         &pmuludq("xmm3","xmm7");                # a[3]*b[i]
615          &paddq ("xmm1","xmm4");                # a[1]*b[i]+hw(a[0]*b[i]), carry
616         &paddq  ("xmm2",&QWP(0x20,"esp"));
617         &movdqa (&QWP(0x00,"esp"),"xmm1");
618
619         &movdqa ("xmm1",&QWP(0x50,"ebx"));
620         &pmuludq("xmm0","xmm7");                # a[4]*b[i]
621         &paddq  ("xmm3",&QWP(0x30,"esp"));
622         &movdqa (&QWP(0x10,"esp"),"xmm2");
623          &pand  ("xmm5","xmm6");                # lower 32 bits of a[0]*b[i]
624
625         &movdqa ("xmm2",&QWP(0x60,"ebx"));
626         &pmuludq("xmm1","xmm7");                # a[5]*b[i]
627          &paddq ("xmm3","xmm5");                # a[3]*b[i]+lw(a[0]*b[i]), reduction step
628         &paddq  ("xmm0",&QWP(0x40,"esp"));
629         &movdqa (&QWP(0x20,"esp"),"xmm3");
630          &pshufd("xmm4","xmm5",0b10110001);     # xmm4 = xmm5<<32, reduction step
631
632         &movdqa ("xmm3","xmm7");
633         &pmuludq("xmm2","xmm7");                # a[6]*b[i]
634          &movd  ("xmm7",&DWP(0,"ebp"));         # b[i++] -> 0000.00xy
635          &lea   ("ebp",&DWP(4,"ebp"));
636         &paddq  ("xmm1",&QWP(0x50,"esp"));
637          &psubq ("xmm4","xmm5");                # xmm4 = xmm5*0xffffffff, reduction step
638         &movdqa (&QWP(0x30,"esp"),"xmm0");
639          &pshuflw("xmm7","xmm7",0b11011100);    # 0000.00xy -> 0000.0x0y
640
641         &pmuludq("xmm3",&QWP(0x70,"ebx"));      # a[7]*b[i]
642          &pshufd("xmm7","xmm7",0b11011100);     # 0000.0x0y -> 000x.000y
643          &movdqa("xmm0",&QWP(0x00,"ebx"));      # pre-load converted a[0]
644         &movdqa (&QWP(0x40,"esp"),"xmm1");
645         &paddq  ("xmm2",&QWP(0x60,"esp"));
646
647         &dec    ("ecx");
648         &jnz    (&label("madd_sse2"));
649
650          &paddq ("xmm2","xmm5");                # a[6]*b[6]+lw(a[0]*b[6]), reduction step [modulo-scheduled]
651          &paddq ("xmm3","xmm4");                # a[7]*b[6]+lw(a[0]*b[6])*0xffffffff, reduction step [modulo-scheduled]
652         &movdqa ("xmm1",&QWP(0x10,"ebx"));
653         &pmuludq("xmm0","xmm7");                # a[0]*b[7]
654          &movdqa(&QWP(0x50,"esp"),"xmm2");
655
656         &movdqa ("xmm2",&QWP(0x20,"ebx"));
657         &pmuludq("xmm1","xmm7");                # a[1]*b[7]
658          &movdqa(&QWP(0x60,"esp"),"xmm3");
659         &paddq  ("xmm0",&QWP(0x00,"esp"));
660
661         &movdqa ("xmm3",&QWP(0x30,"ebx"));
662         &pmuludq("xmm2","xmm7");                # a[2]*b[7]
663          &movq  ("xmm4","xmm0");                # clear upper 64 bits
664          &pslldq("xmm4",6);
665         &paddq  ("xmm1",&QWP(0x10,"esp"));
666          &paddq ("xmm4","xmm0");
667          &movdqa("xmm5","xmm4");
668          &psrldq("xmm4",10);                    # upper 33 bits of a[0]*b[i]+t[0]
669
670         &movdqa ("xmm0",&QWP(0x40,"ebx"));
671         &pmuludq("xmm3","xmm7");                # a[3]*b[7]
672          &paddq ("xmm1","xmm4");                # a[1]*b[7]+hw(a[0]*b[7]), carry
673         &paddq  ("xmm2",&QWP(0x20,"esp"));
674         &movdqa (&QWP(0x00,"esp"),"xmm1");
675
676         &movdqa ("xmm1",&QWP(0x50,"ebx"));
677         &pmuludq("xmm0","xmm7");                # a[4]*b[7]
678         &paddq  ("xmm3",&QWP(0x30,"esp"));
679         &movdqa (&QWP(0x10,"esp"),"xmm2");
680          &pand  ("xmm5","xmm6");                # lower 32 bits of a[0]*b[i]
681
682         &movdqa ("xmm2",&QWP(0x60,"ebx"));
683         &pmuludq("xmm1","xmm7");                # a[5]*b[7]
684          &paddq ("xmm3","xmm5");                # reduction step
685         &paddq  ("xmm0",&QWP(0x40,"esp"));
686         &movdqa (&QWP(0x20,"esp"),"xmm3");
687          &pshufd("xmm4","xmm5",0b10110001);     # xmm4 = xmm5<<32, reduction step
688
689         &movdqa ("xmm3",&QWP(0x70,"ebx"));
690         &pmuludq("xmm2","xmm7");                # a[6]*b[7]
691         &paddq  ("xmm1",&QWP(0x50,"esp"));
692          &psubq ("xmm4","xmm5");                # xmm4 = xmm5*0xffffffff, reduction step
693         &movdqa (&QWP(0x30,"esp"),"xmm0");
694
695         &pmuludq("xmm3","xmm7");                # a[7]*b[7]
696         &pcmpeqd("xmm7","xmm7");
697         &movdqa ("xmm0",&QWP(0x00,"esp"));
698         &pslldq ("xmm7",8);
699         &movdqa (&QWP(0x40,"esp"),"xmm1");
700         &paddq  ("xmm2",&QWP(0x60,"esp"));
701
702          &paddq ("xmm2","xmm5");                # a[6]*b[7]+lw(a[0]*b[7]), reduction step
703          &paddq ("xmm3","xmm4");                # a[6]*b[7]+lw(a[0]*b[7])*0xffffffff, reduction step
704          &movdqa(&QWP(0x50,"esp"),"xmm2");
705          &movdqa(&QWP(0x60,"esp"),"xmm3");
706
707         &movdqa ("xmm1",&QWP(0x10,"esp"));
708         &movdqa ("xmm2",&QWP(0x20,"esp"));
709         &movdqa ("xmm3",&QWP(0x30,"esp"));
710
711         &movq   ("xmm4","xmm0");                # "flatten"
712         &pand   ("xmm0","xmm7");
713         &xor    ("ebp","ebp");
714         &pslldq ("xmm4",6);
715          &movq  ("xmm5","xmm1");
716         &paddq  ("xmm0","xmm4");
717          &pand  ("xmm1","xmm7");
718         &psrldq ("xmm0",6);
719         &movd   ("eax","xmm0");
720         &psrldq ("xmm0",4);
721
722         &paddq  ("xmm5","xmm0");
723         &movdqa ("xmm0",&QWP(0x40,"esp"));
724         &sub    ("eax",-1);                     # start subtracting modulus,
725                                                 # this is used to determine
726                                                 # if result is larger/smaller
727                                                 # than modulus (see below)
728         &pslldq ("xmm5",6);
729          &movq  ("xmm4","xmm2");
730         &paddq  ("xmm1","xmm5");
731          &pand  ("xmm2","xmm7");
732         &psrldq ("xmm1",6);
733         &mov    (&DWP(4*0,"edi"),"eax");
734         &movd   ("eax","xmm1");
735         &psrldq ("xmm1",4);
736
737         &paddq  ("xmm4","xmm1");
738         &movdqa ("xmm1",&QWP(0x50,"esp"));
739         &sbb    ("eax",-1);
740         &pslldq ("xmm4",6);
741          &movq  ("xmm5","xmm3");
742         &paddq  ("xmm2","xmm4");
743          &pand  ("xmm3","xmm7");
744         &psrldq ("xmm2",6);
745         &mov    (&DWP(4*1,"edi"),"eax");
746         &movd   ("eax","xmm2");
747         &psrldq ("xmm2",4);
748
749         &paddq  ("xmm5","xmm2");
750         &movdqa ("xmm2",&QWP(0x60,"esp"));
751         &sbb    ("eax",-1);
752         &pslldq ("xmm5",6);
753          &movq  ("xmm4","xmm0");
754         &paddq  ("xmm3","xmm5");
755          &pand  ("xmm0","xmm7");
756         &psrldq ("xmm3",6);
757         &mov    (&DWP(4*2,"edi"),"eax");
758         &movd   ("eax","xmm3");
759         &psrldq ("xmm3",4);
760
761         &paddq  ("xmm4","xmm3");
762         &sbb    ("eax",0);
763         &pslldq ("xmm4",6);
764          &movq  ("xmm5","xmm1");
765         &paddq  ("xmm0","xmm4");
766          &pand  ("xmm1","xmm7");
767         &psrldq ("xmm0",6);
768         &mov    (&DWP(4*3,"edi"),"eax");
769         &movd   ("eax","xmm0");
770         &psrldq ("xmm0",4);
771
772         &paddq  ("xmm5","xmm0");
773         &sbb    ("eax",0);
774         &pslldq ("xmm5",6);
775          &movq  ("xmm4","xmm2");
776         &paddq  ("xmm1","xmm5");
777          &pand  ("xmm2","xmm7");
778         &psrldq ("xmm1",6);
779         &movd   ("ebx","xmm1");
780         &psrldq ("xmm1",4);
781         &mov    ("esp","edx");
782
783         &paddq  ("xmm4","xmm1");
784         &pslldq ("xmm4",6);
785         &paddq  ("xmm2","xmm4");
786         &psrldq ("xmm2",6);
787         &movd   ("ecx","xmm2");
788         &psrldq ("xmm2",4);
789         &sbb    ("ebx",0);
790         &movd   ("edx","xmm2");
791         &pextrw ("esi","xmm2",2);               # top-most overflow bit
792         &sbb    ("ecx",1);
793         &sbb    ("edx",-1);
794         &sbb    ("esi",0);                      # borrow from subtraction
795
796         # Final step is "if result > mod, subtract mod", and at this point
797         # we have result - mod written to output buffer, as well as borrow
798         # bit from this subtraction, and if borrow bit is set, we add
799         # modulus back.
800         #
801         # Note that because mod has special form, i.e. consists of
802         # 0xffffffff, 1 and 0s, we can conditionally synthesize it by
803         # assigning borrow bit to one register, %ebp, and its negative
804         # to another, %esi. But we started by calculating %esi...
805
806         &sub    ("ebp","esi");
807         &add    (&DWP(4*0,"edi"),"esi");        # add modulus or zero
808         &adc    (&DWP(4*1,"edi"),"esi");
809         &adc    (&DWP(4*2,"edi"),"esi");
810         &adc    (&DWP(4*3,"edi"),0);
811         &adc    ("eax",0);
812         &adc    ("ebx",0);
813         &mov    (&DWP(4*4,"edi"),"eax");
814         &adc    ("ecx","ebp");
815         &mov    (&DWP(4*5,"edi"),"ebx");
816         &adc    ("edx","esi");
817         &mov    (&DWP(4*6,"edi"),"ecx");
818         &mov    (&DWP(4*7,"edi"),"edx");
819
820         &ret    ();
821
822 &set_label("mul_mont_ialu",16);                 }
823
824         ########################################
825         # IALU code path suitable for all CPUs.
826         ########################################
827         # stack layout:
828         # +------------------------------------+< %esp
829         # | 8 32-bit temporary words, accessed |
830         # | as circular buffer                 |
831         # .                                    .
832         # .                                    .
833         # +------------------------------------+< +32
834         # | offloaded destination pointer      |
835         # +------------------------------------+
836         # | unused                             |
837         # +------------------------------------+< +40
838         &sub    ("esp",10*4);
839
840         &mov    ("eax",&DWP(0*4,"esi"));                # a[0]
841         &mov    ("ebx",&DWP(0*4,"ebp"));                # b[0]
842         &mov    (&DWP(8*4,"esp"),"edi");                # off-load dst ptr
843
844         &mul    ("ebx");                                # a[0]*b[0]
845         &mov    (&DWP(0*4,"esp"),"eax");                # t[0]
846         &mov    ("eax",&DWP(1*4,"esi"));
847         &mov    ("ecx","edx")
848
849         &mul    ("ebx");                                # a[1]*b[0]
850         &add    ("ecx","eax");
851         &mov    ("eax",&DWP(2*4,"esi"));
852         &adc    ("edx",0);
853         &mov    (&DWP(1*4,"esp"),"ecx");                # t[1]
854         &mov    ("ecx","edx");
855
856         &mul    ("ebx");                                # a[2]*b[0]
857         &add    ("ecx","eax");
858         &mov    ("eax",&DWP(3*4,"esi"));
859         &adc    ("edx",0);
860         &mov    (&DWP(2*4,"esp"),"ecx");                # t[2]
861         &mov    ("ecx","edx");
862
863         &mul    ("ebx");                                # a[3]*b[0]
864         &add    ("ecx","eax");
865         &mov    ("eax",&DWP(4*4,"esi"));
866         &adc    ("edx",0);
867         &mov    (&DWP(3*4,"esp"),"ecx");                # t[3]
868         &mov    ("ecx","edx");
869
870         &mul    ("ebx");                                # a[4]*b[0]
871         &add    ("ecx","eax");
872         &mov    ("eax",&DWP(5*4,"esi"));
873         &adc    ("edx",0);
874         &mov    (&DWP(4*4,"esp"),"ecx");                # t[4]
875         &mov    ("ecx","edx");
876
877         &mul    ("ebx");                                # a[5]*b[0]
878         &add    ("ecx","eax");
879         &mov    ("eax",&DWP(6*4,"esi"));
880         &adc    ("edx",0);
881         &mov    (&DWP(5*4,"esp"),"ecx");                # t[5]
882         &mov    ("ecx","edx");
883
884         &mul    ("ebx");                                # a[6]*b[0]
885         &add    ("ecx","eax");
886         &mov    ("eax",&DWP(7*4,"esi"));
887         &adc    ("edx",0);
888         &mov    (&DWP(6*4,"esp"),"ecx");                # t[6]
889         &mov    ("ecx","edx");
890
891         &xor    ("edi","edi");                          # initial top-most carry
892         &mul    ("ebx");                                # a[7]*b[0]
893         &add    ("ecx","eax");                          # t[7]
894         &mov    ("eax",&DWP(0*4,"esp"));                # t[0]
895         &adc    ("edx",0);                              # t[8]
896
897 for ($i=0;$i<7;$i++) {
898         my $j=$i+1;
899
900         # Reduction iteration is normally performed by accumulating
901         # result of multiplication of modulus by "magic" digit [and
902         # omitting least significant word, which is guaranteed to
903         # be 0], but thanks to special form of modulus and "magic"
904         # digit being equal to least significant word, it can be
905         # performed with additions and subtractions alone. Indeed:
906         #
907         #        ffff.0001.0000.0000.0000.ffff.ffff.ffff
908         # *                                         abcd
909         # + xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.abcd
910         #
911         # Now observing that ff..ff*x = (2^n-1)*x = 2^n*x-x, we
912         # rewrite above as:
913         #
914         #   xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.abcd
915         # + abcd.0000.abcd.0000.0000.abcd.0000.0000.0000
916         # -      abcd.0000.0000.0000.0000.0000.0000.abcd
917         #
918         # or marking redundant operations:
919         #
920         #   xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.xxxx.----
921         # + abcd.0000.abcd.0000.0000.abcd.----.----.----
922         # -      abcd.----.----.----.----.----.----.----
923
924         &add    (&DWP((($i+3)%8)*4,"esp"),"eax");       # t[3]+=t[0]
925         &adc    (&DWP((($i+4)%8)*4,"esp"),0);           # t[4]+=0
926         &adc    (&DWP((($i+5)%8)*4,"esp"),0);           # t[5]+=0
927         &adc    (&DWP((($i+6)%8)*4,"esp"),"eax");       # t[6]+=t[0]
928         &adc    ("ecx",0);                              # t[7]+=0
929         &adc    ("edx","eax");                          # t[8]+=t[0]
930         &adc    ("edi",0);                              # top-most carry
931          &mov   ("ebx",&DWP($j*4,"ebp"));               # b[i]
932         &sub    ("ecx","eax");                          # t[7]-=t[0]
933          &mov   ("eax",&DWP(0*4,"esi"));                # a[0]
934         &sbb    ("edx",0);                              # t[8]-=0
935         &mov    (&DWP((($i+7)%8)*4,"esp"),"ecx");
936         &sbb    ("edi",0);                              # top-most carry,
937                                                         # keep in mind that
938                                                         # netto result is
939                                                         # *addition* of value
940                                                         # with (abcd<<32)-abcd
941                                                         # on top, so that
942                                                         # underflow is
943                                                         # impossible, because
944                                                         # (abcd<<32)-abcd
945                                                         # doesn't underflow
946         &mov    (&DWP((($i+8)%8)*4,"esp"),"edx");
947
948         &mul    ("ebx");                                # a[0]*b[i]
949         &add    ("eax",&DWP((($j+0)%8)*4,"esp"));
950         &adc    ("edx",0);
951         &mov    (&DWP((($j+0)%8)*4,"esp"),"eax");
952         &mov    ("eax",&DWP(1*4,"esi"));
953         &mov    ("ecx","edx")
954
955         &mul    ("ebx");                                # a[1]*b[i]
956         &add    ("ecx",&DWP((($j+1)%8)*4,"esp"));
957         &adc    ("edx",0);
958         &add    ("ecx","eax");
959         &adc    ("edx",0);
960         &mov    ("eax",&DWP(2*4,"esi"));
961         &mov    (&DWP((($j+1)%8)*4,"esp"),"ecx");
962         &mov    ("ecx","edx");
963
964         &mul    ("ebx");                                # a[2]*b[i]
965         &add    ("ecx",&DWP((($j+2)%8)*4,"esp"));
966         &adc    ("edx",0);
967         &add    ("ecx","eax");
968         &adc    ("edx",0);
969         &mov    ("eax",&DWP(3*4,"esi"));
970         &mov    (&DWP((($j+2)%8)*4,"esp"),"ecx");
971         &mov    ("ecx","edx");
972
973         &mul    ("ebx");                                # a[3]*b[i]
974         &add    ("ecx",&DWP((($j+3)%8)*4,"esp"));
975         &adc    ("edx",0);
976         &add    ("ecx","eax");
977         &adc    ("edx",0);
978         &mov    ("eax",&DWP(4*4,"esi"));
979         &mov    (&DWP((($j+3)%8)*4,"esp"),"ecx");
980         &mov    ("ecx","edx");
981
982         &mul    ("ebx");                                # a[4]*b[i]
983         &add    ("ecx",&DWP((($j+4)%8)*4,"esp"));
984         &adc    ("edx",0);
985         &add    ("ecx","eax");
986         &adc    ("edx",0);
987         &mov    ("eax",&DWP(5*4,"esi"));
988         &mov    (&DWP((($j+4)%8)*4,"esp"),"ecx");
989         &mov    ("ecx","edx");
990
991         &mul    ("ebx");                                # a[5]*b[i]
992         &add    ("ecx",&DWP((($j+5)%8)*4,"esp"));
993         &adc    ("edx",0);
994         &add    ("ecx","eax");
995         &adc    ("edx",0);
996         &mov    ("eax",&DWP(6*4,"esi"));
997         &mov    (&DWP((($j+5)%8)*4,"esp"),"ecx");
998         &mov    ("ecx","edx");
999
1000         &mul    ("ebx");                                # a[6]*b[i]
1001         &add    ("ecx",&DWP((($j+6)%8)*4,"esp"));
1002         &adc    ("edx",0);
1003         &add    ("ecx","eax");
1004         &adc    ("edx",0);
1005         &mov    ("eax",&DWP(7*4,"esi"));
1006         &mov    (&DWP((($j+6)%8)*4,"esp"),"ecx");
1007         &mov    ("ecx","edx");
1008
1009         &mul    ("ebx");                                # a[7]*b[i]
1010         &add    ("ecx",&DWP((($j+7)%8)*4,"esp"));
1011         &adc    ("edx",0);
1012         &add    ("ecx","eax");                          # t[7]
1013         &mov    ("eax",&DWP((($j+0)%8)*4,"esp"));       # t[0]
1014         &adc    ("edx","edi");                          # t[8]
1015         &mov    ("edi",0);
1016         &adc    ("edi",0);                              # top-most carry
1017 }
1018         &mov    ("ebp",&DWP(8*4,"esp"));                # restore dst ptr
1019         &xor    ("esi","esi");
1020         my $j=$i+1;
1021
1022         # last multiplication-less reduction
1023         &add    (&DWP((($i+3)%8)*4,"esp"),"eax");       # t[3]+=t[0]
1024         &adc    (&DWP((($i+4)%8)*4,"esp"),0);           # t[4]+=0
1025         &adc    (&DWP((($i+5)%8)*4,"esp"),0);           # t[5]+=0
1026         &adc    (&DWP((($i+6)%8)*4,"esp"),"eax");       # t[6]+=t[0]
1027         &adc    ("ecx",0);                              # t[7]+=0
1028         &adc    ("edx","eax");                          # t[8]+=t[0]
1029         &adc    ("edi",0);                              # top-most carry
1030          &mov   ("ebx",&DWP((($j+1)%8)*4,"esp"));
1031         &sub    ("ecx","eax");                          # t[7]-=t[0]
1032          &mov   ("eax",&DWP((($j+0)%8)*4,"esp"));
1033         &sbb    ("edx",0);                              # t[8]-=0
1034         &mov    (&DWP((($i+7)%8)*4,"esp"),"ecx");
1035         &sbb    ("edi",0);                              # top-most carry
1036         &mov    (&DWP((($i+8)%8)*4,"esp"),"edx");
1037
1038         # Final step is "if result > mod, subtract mod", but we do it
1039         # "other way around", namely write result - mod to output buffer
1040         # and if subtraction borrowed, add modulus back.
1041
1042         &mov    ("ecx",&DWP((($j+2)%8)*4,"esp"));
1043         &sub    ("eax",-1);
1044         &mov    ("edx",&DWP((($j+3)%8)*4,"esp"));
1045         &sbb    ("ebx",-1);
1046         &mov    (&DWP(0*4,"ebp"),"eax");
1047         &sbb    ("ecx",-1);
1048         &mov    (&DWP(1*4,"ebp"),"ebx");
1049         &sbb    ("edx",0);
1050         &mov    (&DWP(2*4,"ebp"),"ecx");
1051         &mov    (&DWP(3*4,"ebp"),"edx");
1052
1053         &mov    ("eax",&DWP((($j+4)%8)*4,"esp"));
1054         &mov    ("ebx",&DWP((($j+5)%8)*4,"esp"));
1055         &mov    ("ecx",&DWP((($j+6)%8)*4,"esp"));
1056         &sbb    ("eax",0);
1057         &mov    ("edx",&DWP((($j+7)%8)*4,"esp"));
1058         &sbb    ("ebx",0);
1059         &sbb    ("ecx",1);
1060         &sbb    ("edx",-1);
1061         &sbb    ("edi",0);
1062
1063         # Note that because mod has special form, i.e. consists of
1064         # 0xffffffff, 1 and 0s, we can conditionally synthesize it by
1065         # assigning borrow bit to one register, %ebp, and its negative
1066         # to another, %esi. But we started by calculating %esi...
1067
1068         &sub    ("esi","edi");
1069         &add    (&DWP(0*4,"ebp"),"edi");                # add modulus or zero
1070         &adc    (&DWP(1*4,"ebp"),"edi");
1071         &adc    (&DWP(2*4,"ebp"),"edi");
1072         &adc    (&DWP(3*4,"ebp"),0);
1073         &adc    ("eax",0);
1074         &adc    ("ebx",0);
1075         &mov    (&DWP(4*4,"ebp"),"eax");
1076         &adc    ("ecx","esi");
1077         &mov    (&DWP(5*4,"ebp"),"ebx");
1078         &adc    ("edx","edi");
1079         &mov    (&DWP(6*4,"ebp"),"ecx");
1080         &mov    ("edi","ebp");                          # fulfill contract
1081         &mov    (&DWP(7*4,"ebp"),"edx");
1082
1083         &add    ("esp",10*4);
1084         &ret    ();
1085 &function_end_B("_ecp_nistz256_mul_mont");
1086
1087 ########################################################################
1088 # void ecp_nistz256_scatter_w5(void *edi,const P256_POINT *esi,
1089 #                                        int ebp);
1090 &function_begin("ecp_nistz256_scatter_w5");
1091         &mov    ("edi",&wparam(0));
1092         &mov    ("esi",&wparam(1));
1093         &mov    ("ebp",&wparam(2));
1094
1095         &lea    ("edi",&DWP(128-4,"edi","ebp",4));
1096         &mov    ("ebp",96/16);
1097 &set_label("scatter_w5_loop");
1098         &mov    ("eax",&DWP(0,"esi"));
1099         &mov    ("ebx",&DWP(4,"esi"));
1100         &mov    ("ecx",&DWP(8,"esi"));
1101         &mov    ("edx",&DWP(12,"esi"));
1102         &lea    ("esi",&DWP(16,"esi"));
1103         &mov    (&DWP(64*0-128,"edi"),"eax");
1104         &mov    (&DWP(64*1-128,"edi"),"ebx");
1105         &mov    (&DWP(64*2-128,"edi"),"ecx");
1106         &mov    (&DWP(64*3-128,"edi"),"edx");
1107         &lea    ("edi",&DWP(64*4,"edi"));
1108         &dec    ("ebp");
1109         &jnz    (&label("scatter_w5_loop"));
1110 &function_end("ecp_nistz256_scatter_w5");
1111
1112 ########################################################################
1113 # void ecp_nistz256_gather_w5(P256_POINT *edi,const void *esi,
1114 #                                             int ebp);
1115 &function_begin("ecp_nistz256_gather_w5");
1116         &mov    ("esi",&wparam(1));
1117         &mov    ("ebp",&wparam(2));
1118
1119         &lea    ("esi",&DWP(0,"esi","ebp",4));
1120         &neg    ("ebp");
1121         &sar    ("ebp",31);
1122         &mov    ("edi",&wparam(0));
1123         &lea    ("esi",&DWP(0,"esi","ebp",4));
1124
1125     for($i=0;$i<24;$i+=4) {
1126         &mov    ("eax",&DWP(64*($i+0),"esi"));
1127         &mov    ("ebx",&DWP(64*($i+1),"esi"));
1128         &mov    ("ecx",&DWP(64*($i+2),"esi"));
1129         &mov    ("edx",&DWP(64*($i+3),"esi"));
1130         &and    ("eax","ebp");
1131         &and    ("ebx","ebp");
1132         &and    ("ecx","ebp");
1133         &and    ("edx","ebp");
1134         &mov    (&DWP(4*($i+0),"edi"),"eax");
1135         &mov    (&DWP(4*($i+1),"edi"),"ebx");
1136         &mov    (&DWP(4*($i+2),"edi"),"ecx");
1137         &mov    (&DWP(4*($i+3),"edi"),"edx");
1138     }
1139 &function_end("ecp_nistz256_gather_w5");
1140
1141 ########################################################################
1142 # void ecp_nistz256_scatter_w7(void *edi,const P256_POINT_AFFINE *esi,
1143 #                                        int ebp);
1144 &function_begin("ecp_nistz256_scatter_w7");
1145         &mov    ("edi",&wparam(0));
1146         &mov    ("esi",&wparam(1));
1147         &mov    ("ebp",&wparam(2));
1148
1149         &lea    ("edi",&DWP(-1,"edi","ebp"));
1150         &mov    ("ebp",64/4);
1151 &set_label("scatter_w7_loop");
1152         &mov    ("eax",&DWP(0,"esi"));
1153         &lea    ("esi",&DWP(4,"esi"));
1154         &mov    (&BP(64*0,"edi"),"al");
1155         &mov    (&BP(64*1,"edi"),"ah");
1156         &shr    ("eax",16);
1157         &mov    (&BP(64*2,"edi"),"al");
1158         &mov    (&BP(64*3,"edi"),"ah");
1159         &lea    ("edi",&DWP(64*4,"edi"));
1160         &dec    ("ebp");
1161         &jnz    (&label("scatter_w7_loop"));
1162 &function_end("ecp_nistz256_scatter_w7");
1163
1164 ########################################################################
1165 # void ecp_nistz256_gather_w7(P256_POINT_AFFINE *edi,const void *esi,
1166 #                                                    int ebp);
1167 &function_begin("ecp_nistz256_gather_w7");
1168         &mov    ("esi",&wparam(1));
1169         &mov    ("ebp",&wparam(2));
1170
1171         &add    ("esi","ebp");
1172         &neg    ("ebp"),
1173         &sar    ("ebp",31);
1174         &mov    ("edi",&wparam(0));
1175         &lea    ("esi",&DWP(0,"esi","ebp"));
1176
1177     for($i=0;$i<64;$i+=4) {
1178         &movz   ("eax",&BP(64*($i+0),"esi"));
1179         &movz   ("ebx",&BP(64*($i+1),"esi"));
1180         &movz   ("ecx",&BP(64*($i+2),"esi"));
1181         &and    ("eax","ebp");
1182         &movz   ("edx",&BP(64*($i+3),"esi"));
1183         &and    ("ebx","ebp");
1184         &mov    (&BP($i+0,"edi"),"al");
1185         &and    ("ecx","ebp");
1186         &mov    (&BP($i+1,"edi"),"bl");
1187         &and    ("edx","ebp");
1188         &mov    (&BP($i+2,"edi"),"cl");
1189         &mov    (&BP($i+3,"edi"),"dl");
1190     }
1191 &function_end("ecp_nistz256_gather_w7");
1192
1193 ########################################################################
1194 # following subroutines are "literal" implementation of those found in
1195 # ecp_nistz256.c
1196 #
1197 ########################################################################
1198 # void ecp_nistz256_point_double(P256_POINT *out,const P256_POINT *inp);
1199 #
1200 &static_label("point_double_shortcut");
1201 &function_begin("ecp_nistz256_point_double");
1202 {   my ($S,$M,$Zsqr,$in_x,$tmp0)=map(32*$_,(0..4));
1203
1204         &mov    ("esi",&wparam(1));
1205
1206         # above map() describes stack layout with 5 temporary
1207         # 256-bit vectors on top, then we take extra word for
1208         # OPENSSL_ia32cap_P copy.
1209         &stack_push(8*5+1);
1210                                                 if ($sse2) {
1211         &call   ("_picup_eax");
1212     &set_label("pic");
1213         &picmeup("edx","OPENSSL_ia32cap_P","eax",&label("pic"));
1214         &mov    ("ebp",&DWP(0,"edx"));          }
1215
1216 &set_label("point_double_shortcut");
1217         &mov    ("eax",&DWP(0,"esi"));          # copy in_x
1218         &mov    ("ebx",&DWP(4,"esi"));
1219         &mov    ("ecx",&DWP(8,"esi"));
1220         &mov    ("edx",&DWP(12,"esi"));
1221         &mov    (&DWP($in_x+0,"esp"),"eax");
1222         &mov    (&DWP($in_x+4,"esp"),"ebx");
1223         &mov    (&DWP($in_x+8,"esp"),"ecx");
1224         &mov    (&DWP($in_x+12,"esp"),"edx");
1225         &mov    ("eax",&DWP(16,"esi"));
1226         &mov    ("ebx",&DWP(20,"esi"));
1227         &mov    ("ecx",&DWP(24,"esi"));
1228         &mov    ("edx",&DWP(28,"esi"));
1229         &mov    (&DWP($in_x+16,"esp"),"eax");
1230         &mov    (&DWP($in_x+20,"esp"),"ebx");
1231         &mov    (&DWP($in_x+24,"esp"),"ecx");
1232         &mov    (&DWP($in_x+28,"esp"),"edx");
1233         &mov    (&DWP(32*5,"esp"),"ebp");       # OPENSSL_ia32cap_P copy
1234
1235         &lea    ("ebp",&DWP(32,"esi"));
1236         &lea    ("esi",&DWP(32,"esi"));
1237         &lea    ("edi",&DWP($S,"esp"));
1238         &call   ("_ecp_nistz256_add");          # p256_mul_by_2(S, in_y);
1239
1240         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1241         &mov    ("esi",64);
1242         &add    ("esi",&wparam(1));
1243         &lea    ("edi",&DWP($Zsqr,"esp"));
1244         &mov    ("ebp","esi");
1245         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Zsqr, in_z);
1246
1247         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1248         &lea    ("esi",&DWP($S,"esp"));
1249         &lea    ("ebp",&DWP($S,"esp"));
1250         &lea    ("edi",&DWP($S,"esp"));
1251         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(S, S);
1252
1253         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1254         &mov    ("ebp",&wparam(1));
1255         &lea    ("esi",&DWP(32,"ebp"));
1256         &lea    ("ebp",&DWP(64,"ebp"));
1257         &lea    ("edi",&DWP($tmp0,"esp"));
1258         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(tmp0, in_z, in_y);
1259
1260         &lea    ("esi",&DWP($in_x,"esp"));
1261         &lea    ("ebp",&DWP($Zsqr,"esp"));
1262         &lea    ("edi",&DWP($M,"esp"));
1263         &call   ("_ecp_nistz256_add");          # p256_add(M, in_x, Zsqr);
1264
1265         &mov    ("edi",64);
1266         &lea    ("esi",&DWP($tmp0,"esp"));
1267         &lea    ("ebp",&DWP($tmp0,"esp"));
1268         &add    ("edi",&wparam(0));
1269         &call   ("_ecp_nistz256_add");          # p256_mul_by_2(res_z, tmp0);
1270
1271         &lea    ("esi",&DWP($in_x,"esp"));
1272         &lea    ("ebp",&DWP($Zsqr,"esp"));
1273         &lea    ("edi",&DWP($Zsqr,"esp"));
1274         &call   ("_ecp_nistz256_sub");          # p256_sub(Zsqr, in_x, Zsqr);
1275
1276         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1277         &lea    ("esi",&DWP($S,"esp"));
1278         &lea    ("ebp",&DWP($S,"esp"));
1279         &lea    ("edi",&DWP($tmp0,"esp"));
1280         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(tmp0, S);
1281
1282         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1283         &lea    ("esi",&DWP($M,"esp"));
1284         &lea    ("ebp",&DWP($Zsqr,"esp"));
1285         &lea    ("edi",&DWP($M,"esp"));
1286         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(M, M, Zsqr);
1287
1288         &mov    ("edi",32);
1289         &lea    ("esi",&DWP($tmp0,"esp"));
1290         &add    ("edi",&wparam(0));
1291         &call   ("_ecp_nistz256_div_by_2");     # p256_div_by_2(res_y, tmp0);
1292
1293         &lea    ("esi",&DWP($M,"esp"));
1294         &lea    ("ebp",&DWP($M,"esp"));
1295         &lea    ("edi",&DWP($tmp0,"esp"));
1296         &call   ("_ecp_nistz256_add");          # 1/2 p256_mul_by_3(M, M);
1297
1298         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1299         &lea    ("esi",&DWP($in_x,"esp"));
1300         &lea    ("ebp",&DWP($S,"esp"));
1301         &lea    ("edi",&DWP($S,"esp"));
1302         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S, S, in_x);
1303
1304         &lea    ("esi",&DWP($tmp0,"esp"));
1305         &lea    ("ebp",&DWP($M,"esp"));
1306         &lea    ("edi",&DWP($M,"esp"));
1307         &call   ("_ecp_nistz256_add");          # 2/2 p256_mul_by_3(M, M);
1308
1309         &lea    ("esi",&DWP($S,"esp"));
1310         &lea    ("ebp",&DWP($S,"esp"));
1311         &lea    ("edi",&DWP($tmp0,"esp"));
1312         &call   ("_ecp_nistz256_add");          # p256_mul_by_2(tmp0, S);
1313
1314         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1315         &lea    ("esi",&DWP($M,"esp"));
1316         &lea    ("ebp",&DWP($M,"esp"));
1317         &mov    ("edi",&wparam(0));
1318         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(res_x, M);
1319
1320         &mov    ("esi","edi");                  # %edi is still res_x here
1321         &lea    ("ebp",&DWP($tmp0,"esp"));
1322         &call   ("_ecp_nistz256_sub");          # p256_sub(res_x, res_x, tmp0);
1323
1324         &lea    ("esi",&DWP($S,"esp"));
1325         &mov    ("ebp","edi");                  # %edi is still res_x
1326         &lea    ("edi",&DWP($S,"esp"));
1327         &call   ("_ecp_nistz256_sub");          # p256_sub(S, S, res_x);
1328
1329         &mov    ("eax",&DWP(32*5,"esp"));       # OPENSSL_ia32cap_P copy
1330         &mov    ("esi","edi");                  # %edi is still &S
1331         &lea    ("ebp",&DWP($M,"esp"));
1332         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S, S, M);
1333
1334         &mov    ("ebp",32);
1335         &lea    ("esi",&DWP($S,"esp"));
1336         &add    ("ebp",&wparam(0));
1337         &mov    ("edi","ebp");
1338         &call   ("_ecp_nistz256_sub");          # p256_sub(res_y, S, res_y);
1339
1340         &stack_pop(8*5+1);
1341 } &function_end("ecp_nistz256_point_double");
1342
1343 ########################################################################
1344 # void ecp_nistz256_point_add(P256_POINT *out,const P256_POINT *in1,
1345 #                                             const P256_POINT *in2);
1346 &function_begin("ecp_nistz256_point_add");
1347 {   my ($res_x,$res_y,$res_z,
1348         $in1_x,$in1_y,$in1_z,
1349         $in2_x,$in2_y,$in2_z,
1350         $H,$Hsqr,$R,$Rsqr,$Hcub,
1351         $U1,$U2,$S1,$S2)=map(32*$_,(0..17));
1352     my ($Z1sqr, $Z2sqr) = ($Hsqr, $Rsqr);
1353
1354         &mov    ("esi",&wparam(2));
1355
1356         # above map() describes stack layout with 18 temporary
1357         # 256-bit vectors on top, then we take extra words for
1358         # !in1infty, !in2infty, result of check for zero and
1359         # OPENSSL_ia32cap_P copy. [one unused word for padding]
1360         &stack_push(8*18+5);
1361                                                 if ($sse2) {
1362         &call   ("_picup_eax");
1363     &set_label("pic");
1364         &picmeup("edx","OPENSSL_ia32cap_P","eax",&label("pic"));
1365         &mov    ("ebp",&DWP(0,"edx"));          }
1366
1367         &lea    ("edi",&DWP($in2_x,"esp"));
1368     for($i=0;$i<96;$i+=16) {
1369         &mov    ("eax",&DWP($i+0,"esi"));       # copy in2
1370         &mov    ("ebx",&DWP($i+4,"esi"));
1371         &mov    ("ecx",&DWP($i+8,"esi"));
1372         &mov    ("edx",&DWP($i+12,"esi"));
1373         &mov    (&DWP($i+0,"edi"),"eax");
1374         &mov    (&DWP(32*18+12,"esp"),"ebp")    if ($i==0);
1375         &mov    ("ebp","eax")                   if ($i==0);
1376         &or     ("ebp","eax")                   if ($i!=0 && $i<64);
1377         &mov    (&DWP($i+4,"edi"),"ebx");
1378         &or     ("ebp","ebx")                   if ($i<64);
1379         &mov    (&DWP($i+8,"edi"),"ecx");
1380         &or     ("ebp","ecx")                   if ($i<64);
1381         &mov    (&DWP($i+12,"edi"),"edx");
1382         &or     ("ebp","edx")                   if ($i<64);
1383     }
1384         &xor    ("eax","eax");
1385         &mov    ("esi",&wparam(1));
1386         &sub    ("eax","ebp");
1387         &or     ("ebp","eax");
1388         &sar    ("ebp",31);
1389         &mov    (&DWP(32*18+4,"esp"),"ebp");    # !in2infty
1390
1391         &lea    ("edi",&DWP($in1_x,"esp"));
1392     for($i=0;$i<96;$i+=16) {
1393         &mov    ("eax",&DWP($i+0,"esi"));       # copy in1
1394         &mov    ("ebx",&DWP($i+4,"esi"));
1395         &mov    ("ecx",&DWP($i+8,"esi"));
1396         &mov    ("edx",&DWP($i+12,"esi"));
1397         &mov    (&DWP($i+0,"edi"),"eax");
1398         &mov    ("ebp","eax")                   if ($i==0);
1399         &or     ("ebp","eax")                   if ($i!=0 && $i<64);
1400         &mov    (&DWP($i+4,"edi"),"ebx");
1401         &or     ("ebp","ebx")                   if ($i<64);
1402         &mov    (&DWP($i+8,"edi"),"ecx");
1403         &or     ("ebp","ecx")                   if ($i<64);
1404         &mov    (&DWP($i+12,"edi"),"edx");
1405         &or     ("ebp","edx")                   if ($i<64);
1406     }
1407         &xor    ("eax","eax");
1408         &sub    ("eax","ebp");
1409         &or     ("ebp","eax");
1410         &sar    ("ebp",31);
1411         &mov    (&DWP(32*18+0,"esp"),"ebp");    # !in1infty
1412
1413         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1414         &lea    ("esi",&DWP($in2_z,"esp"));
1415         &lea    ("ebp",&DWP($in2_z,"esp"));
1416         &lea    ("edi",&DWP($Z2sqr,"esp"));
1417         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Z2sqr, in2_z);
1418
1419         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1420         &lea    ("esi",&DWP($in1_z,"esp"));
1421         &lea    ("ebp",&DWP($in1_z,"esp"));
1422         &lea    ("edi",&DWP($Z1sqr,"esp"));
1423         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Z1sqr, in1_z);
1424
1425         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1426         &lea    ("esi",&DWP($Z2sqr,"esp"));
1427         &lea    ("ebp",&DWP($in2_z,"esp"));
1428         &lea    ("edi",&DWP($S1,"esp"));
1429         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S1, Z2sqr, in2_z);
1430
1431         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1432         &lea    ("esi",&DWP($Z1sqr,"esp"));
1433         &lea    ("ebp",&DWP($in1_z,"esp"));
1434         &lea    ("edi",&DWP($S2,"esp"));
1435         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S2, Z1sqr, in1_z);
1436
1437         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1438         &lea    ("esi",&DWP($in1_y,"esp"));
1439         &lea    ("ebp",&DWP($S1,"esp"));
1440         &lea    ("edi",&DWP($S1,"esp"));
1441         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S1, S1, in1_y);
1442
1443         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1444         &lea    ("esi",&DWP($in2_y,"esp"));
1445         &lea    ("ebp",&DWP($S2,"esp"));
1446         &lea    ("edi",&DWP($S2,"esp"));
1447         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S2, S2, in2_y);
1448
1449         &lea    ("esi",&DWP($S2,"esp"));
1450         &lea    ("ebp",&DWP($S1,"esp"));
1451         &lea    ("edi",&DWP($R,"esp"));
1452         &call   ("_ecp_nistz256_sub");          # p256_sub(R, S2, S1);
1453
1454         &or     ("ebx","eax");                  # see if result is zero
1455         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1456         &or     ("ebx","ecx");
1457         &or     ("ebx","edx");
1458         &or     ("ebx",&DWP(0,"edi"));
1459         &or     ("ebx",&DWP(4,"edi"));
1460          &lea   ("esi",&DWP($in1_x,"esp"));
1461         &or     ("ebx",&DWP(8,"edi"));
1462          &lea   ("ebp",&DWP($Z2sqr,"esp"));
1463         &or     ("ebx",&DWP(12,"edi"));
1464          &lea   ("edi",&DWP($U1,"esp"));
1465         &mov    (&DWP(32*18+8,"esp"),"ebx");
1466
1467         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(U1, in1_x, Z2sqr);
1468
1469         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1470         &lea    ("esi",&DWP($in2_x,"esp"));
1471         &lea    ("ebp",&DWP($Z1sqr,"esp"));
1472         &lea    ("edi",&DWP($U2,"esp"));
1473         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(U2, in2_x, Z1sqr);
1474
1475         &lea    ("esi",&DWP($U2,"esp"));
1476         &lea    ("ebp",&DWP($U1,"esp"));
1477         &lea    ("edi",&DWP($H,"esp"));
1478         &call   ("_ecp_nistz256_sub");          # p256_sub(H, U2, U1);
1479
1480         &or     ("eax","ebx");                  # see if result is zero
1481         &or     ("eax","ecx");
1482         &or     ("eax","edx");
1483         &or     ("eax",&DWP(0,"edi"));
1484         &or     ("eax",&DWP(4,"edi"));
1485         &or     ("eax",&DWP(8,"edi"));
1486         &or     ("eax",&DWP(12,"edi"));
1487
1488         &data_byte(0x3e);                       # predict taken
1489         &jnz    (&label("add_proceed"));        # is_equal(U1,U2)?
1490
1491         &mov    ("eax",&DWP(32*18+0,"esp"));
1492         &and    ("eax",&DWP(32*18+4,"esp"));
1493         &mov    ("ebx",&DWP(32*18+8,"esp"));
1494         &jz     (&label("add_proceed"));        # (in1infty || in2infty)?
1495         &test   ("ebx","ebx");
1496         &jz     (&label("add_double"));         # is_equal(S1,S2)?
1497
1498         &mov    ("edi",&wparam(0));
1499         &xor    ("eax","eax");
1500         &mov    ("ecx",96/4);
1501         &data_byte(0xfc,0xf3,0xab);             # cld; stosd
1502         &jmp    (&label("add_done"));
1503
1504 &set_label("add_double",16);
1505         &mov    ("esi",&wparam(1));
1506         &mov    ("ebp",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1507         &add    ("esp",4*((8*18+5)-(8*5+1)));   # difference in frame sizes
1508         &jmp    (&label("point_double_shortcut"));
1509
1510 &set_label("add_proceed",16);
1511         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1512         &lea    ("esi",&DWP($R,"esp"));
1513         &lea    ("ebp",&DWP($R,"esp"));
1514         &lea    ("edi",&DWP($Rsqr,"esp"));
1515         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Rsqr, R);
1516
1517         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1518         &lea    ("esi",&DWP($H,"esp"));
1519         &lea    ("ebp",&DWP($in1_z,"esp"));
1520         &lea    ("edi",&DWP($res_z,"esp"));
1521         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(res_z, H, in1_z);
1522
1523         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1524         &lea    ("esi",&DWP($H,"esp"));
1525         &lea    ("ebp",&DWP($H,"esp"));
1526         &lea    ("edi",&DWP($Hsqr,"esp"));
1527         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Hsqr, H);
1528
1529         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1530         &lea    ("esi",&DWP($in2_z,"esp"));
1531         &lea    ("ebp",&DWP($res_z,"esp"));
1532         &lea    ("edi",&DWP($res_z,"esp"));
1533         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(res_z, res_z, in2_z);
1534
1535         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1536         &lea    ("esi",&DWP($Hsqr,"esp"));
1537         &lea    ("ebp",&DWP($U1,"esp"));
1538         &lea    ("edi",&DWP($U2,"esp"));
1539         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(U2, U1, Hsqr);
1540
1541         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1542         &lea    ("esi",&DWP($H,"esp"));
1543         &lea    ("ebp",&DWP($Hsqr,"esp"));
1544         &lea    ("edi",&DWP($Hcub,"esp"));
1545         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(Hcub, Hsqr, H);
1546
1547         &lea    ("esi",&DWP($U2,"esp"));
1548         &lea    ("ebp",&DWP($U2,"esp"));
1549         &lea    ("edi",&DWP($Hsqr,"esp"));
1550         &call   ("_ecp_nistz256_add");          # p256_mul_by_2(Hsqr, U2);
1551
1552         &lea    ("esi",&DWP($Rsqr,"esp"));
1553         &lea    ("ebp",&DWP($Hsqr,"esp"));
1554         &lea    ("edi",&DWP($res_x,"esp"));
1555         &call   ("_ecp_nistz256_sub");          # p256_sub(res_x, Rsqr, Hsqr);
1556
1557         &lea    ("esi",&DWP($res_x,"esp"));
1558         &lea    ("ebp",&DWP($Hcub,"esp"));
1559         &lea    ("edi",&DWP($res_x,"esp"));
1560         &call   ("_ecp_nistz256_sub");          # p256_sub(res_x, res_x, Hcub);
1561
1562         &lea    ("esi",&DWP($U2,"esp"));
1563         &lea    ("ebp",&DWP($res_x,"esp"));
1564         &lea    ("edi",&DWP($res_y,"esp"));
1565         &call   ("_ecp_nistz256_sub");          # p256_sub(res_y, U2, res_x);
1566
1567         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1568         &lea    ("esi",&DWP($Hcub,"esp"));
1569         &lea    ("ebp",&DWP($S1,"esp"));
1570         &lea    ("edi",&DWP($S2,"esp"));
1571         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S2, S1, Hcub);
1572
1573         &mov    ("eax",&DWP(32*18+12,"esp"));   # OPENSSL_ia32cap_P copy
1574         &lea    ("esi",&DWP($R,"esp"));
1575         &lea    ("ebp",&DWP($res_y,"esp"));
1576         &lea    ("edi",&DWP($res_y,"esp"));
1577         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(res_y, R, res_y);
1578
1579         &lea    ("esi",&DWP($res_y,"esp"));
1580         &lea    ("ebp",&DWP($S2,"esp"));
1581         &lea    ("edi",&DWP($res_y,"esp"));
1582         &call   ("_ecp_nistz256_sub");          # p256_sub(res_y, res_y, S2);
1583
1584         &mov    ("ebp",&DWP(32*18+0,"esp"));    # !in1infty
1585         &mov    ("esi",&DWP(32*18+4,"esp"));    # !in2infty
1586         &mov    ("edi",&wparam(0));
1587         &mov    ("edx","ebp");
1588         &not    ("ebp");
1589         &and    ("edx","esi");
1590         &and    ("ebp","esi");
1591         &not    ("esi");
1592
1593         ########################################
1594         # conditional moves
1595     for($i=64;$i<96;$i+=4) {
1596         &mov    ("eax","edx");
1597         &and    ("eax",&DWP($res_x+$i,"esp"));
1598         &mov    ("ebx","ebp");
1599         &and    ("ebx",&DWP($in2_x+$i,"esp"));
1600         &mov    ("ecx","esi");
1601         &and    ("ecx",&DWP($in1_x+$i,"esp"));
1602         &or     ("eax","ebx");
1603         &or     ("eax","ecx");
1604         &mov    (&DWP($i,"edi"),"eax");
1605     }
1606     for($i=0;$i<64;$i+=4) {
1607         &mov    ("eax","edx");
1608         &and    ("eax",&DWP($res_x+$i,"esp"));
1609         &mov    ("ebx","ebp");
1610         &and    ("ebx",&DWP($in2_x+$i,"esp"));
1611         &mov    ("ecx","esi");
1612         &and    ("ecx",&DWP($in1_x+$i,"esp"));
1613         &or     ("eax","ebx");
1614         &or     ("eax","ecx");
1615         &mov    (&DWP($i,"edi"),"eax");
1616     }
1617     &set_label("add_done");
1618         &stack_pop(8*18+5);
1619 } &function_end("ecp_nistz256_point_add");
1620
1621 ########################################################################
1622 # void ecp_nistz256_point_add_affine(P256_POINT *out,
1623 #                                    const P256_POINT *in1,
1624 #                                    const P256_POINT_AFFINE *in2);
1625 &function_begin("ecp_nistz256_point_add_affine");
1626 {
1627     my ($res_x,$res_y,$res_z,
1628         $in1_x,$in1_y,$in1_z,
1629         $in2_x,$in2_y,
1630         $U2,$S2,$H,$R,$Hsqr,$Hcub,$Rsqr)=map(32*$_,(0..14));
1631     my $Z1sqr = $S2;
1632     my @ONE_mont=(1,0,0,-1,-1,-1,-2,0);
1633
1634         &mov    ("esi",&wparam(1));
1635
1636         # above map() describes stack layout with 15 temporary
1637         # 256-bit vectors on top, then we take extra words for
1638         # !in1infty, !in2infty, and OPENSSL_ia32cap_P copy.
1639         &stack_push(8*15+3);
1640                                                 if ($sse2) {
1641         &call   ("_picup_eax");
1642     &set_label("pic");
1643         &picmeup("edx","OPENSSL_ia32cap_P","eax",&label("pic"));
1644         &mov    ("ebp",&DWP(0,"edx"));          }
1645
1646         &lea    ("edi",&DWP($in1_x,"esp"));
1647     for($i=0;$i<96;$i+=16) {
1648         &mov    ("eax",&DWP($i+0,"esi"));       # copy in1
1649         &mov    ("ebx",&DWP($i+4,"esi"));
1650         &mov    ("ecx",&DWP($i+8,"esi"));
1651         &mov    ("edx",&DWP($i+12,"esi"));
1652         &mov    (&DWP($i+0,"edi"),"eax");
1653         &mov    (&DWP(32*15+8,"esp"),"ebp")     if ($i==0);
1654         &mov    ("ebp","eax")                   if ($i==0);
1655         &or     ("ebp","eax")                   if ($i!=0 && $i<64);
1656         &mov    (&DWP($i+4,"edi"),"ebx");
1657         &or     ("ebp","ebx")                   if ($i<64);
1658         &mov    (&DWP($i+8,"edi"),"ecx");
1659         &or     ("ebp","ecx")                   if ($i<64);
1660         &mov    (&DWP($i+12,"edi"),"edx");
1661         &or     ("ebp","edx")                   if ($i<64);
1662     }
1663         &xor    ("eax","eax");
1664         &mov    ("esi",&wparam(2));
1665         &sub    ("eax","ebp");
1666         &or     ("ebp","eax");
1667         &sar    ("ebp",31);
1668         &mov    (&DWP(32*15+0,"esp"),"ebp");    # !in1infty
1669
1670         &lea    ("edi",&DWP($in2_x,"esp"));
1671     for($i=0;$i<64;$i+=16) {
1672         &mov    ("eax",&DWP($i+0,"esi"));       # copy in2
1673         &mov    ("ebx",&DWP($i+4,"esi"));
1674         &mov    ("ecx",&DWP($i+8,"esi"));
1675         &mov    ("edx",&DWP($i+12,"esi"));
1676         &mov    (&DWP($i+0,"edi"),"eax");
1677         &mov    ("ebp","eax")                   if ($i==0);
1678         &or     ("ebp","eax")                   if ($i!=0);
1679         &mov    (&DWP($i+4,"edi"),"ebx");
1680         &or     ("ebp","ebx");
1681         &mov    (&DWP($i+8,"edi"),"ecx");
1682         &or     ("ebp","ecx");
1683         &mov    (&DWP($i+12,"edi"),"edx");
1684         &or     ("ebp","edx");
1685     }
1686         &xor    ("ebx","ebx");
1687         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1688         &sub    ("ebx","ebp");
1689          &lea   ("esi",&DWP($in1_z,"esp"));
1690         &or     ("ebx","ebp");
1691          &lea   ("ebp",&DWP($in1_z,"esp"));
1692         &sar    ("ebx",31);
1693          &lea   ("edi",&DWP($Z1sqr,"esp"));
1694         &mov    (&DWP(32*15+4,"esp"),"ebx");    # !in2infty
1695
1696         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Z1sqr, in1_z);
1697
1698         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1699         &lea    ("esi",&DWP($in2_x,"esp"));
1700         &mov    ("ebp","edi");                  # %esi is stull &Z1sqr
1701         &lea    ("edi",&DWP($U2,"esp"));
1702         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(U2, Z1sqr, in2_x);
1703
1704         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1705         &lea    ("esi",&DWP($in1_z,"esp"));
1706         &lea    ("ebp",&DWP($Z1sqr,"esp"));
1707         &lea    ("edi",&DWP($S2,"esp"));
1708         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S2, Z1sqr, in1_z);
1709
1710         &lea    ("esi",&DWP($U2,"esp"));
1711         &lea    ("ebp",&DWP($in1_x,"esp"));
1712         &lea    ("edi",&DWP($H,"esp"));
1713         &call   ("_ecp_nistz256_sub");          # p256_sub(H, U2, in1_x);
1714
1715         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1716         &lea    ("esi",&DWP($in2_y,"esp"));
1717         &lea    ("ebp",&DWP($S2,"esp"));
1718         &lea    ("edi",&DWP($S2,"esp"));
1719         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S2, S2, in2_y);
1720
1721         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1722         &lea    ("esi",&DWP($in1_z,"esp"));
1723         &lea    ("ebp",&DWP($H,"esp"));
1724         &lea    ("edi",&DWP($res_z,"esp"));
1725         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(res_z, H, in1_z);
1726
1727         &lea    ("esi",&DWP($S2,"esp"));
1728         &lea    ("ebp",&DWP($in1_y,"esp"));
1729         &lea    ("edi",&DWP($R,"esp"));
1730         &call   ("_ecp_nistz256_sub");          # p256_sub(R, S2, in1_y);
1731
1732         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1733         &lea    ("esi",&DWP($H,"esp"));
1734         &lea    ("ebp",&DWP($H,"esp"));
1735         &lea    ("edi",&DWP($Hsqr,"esp"));
1736         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Hsqr, H);
1737
1738         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1739         &lea    ("esi",&DWP($R,"esp"));
1740         &lea    ("ebp",&DWP($R,"esp"));
1741         &lea    ("edi",&DWP($Rsqr,"esp"));
1742         &call   ("_ecp_nistz256_mul_mont");     # p256_sqr_mont(Rsqr, R);
1743
1744         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1745         &lea    ("esi",&DWP($in1_x,"esp"));
1746         &lea    ("ebp",&DWP($Hsqr,"esp"));
1747         &lea    ("edi",&DWP($U2,"esp"));
1748         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(U2, in1_x, Hsqr);
1749
1750         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1751         &lea    ("esi",&DWP($H,"esp"));
1752         &lea    ("ebp",&DWP($Hsqr,"esp"));
1753         &lea    ("edi",&DWP($Hcub,"esp"));
1754         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(Hcub, Hsqr, H);
1755
1756         &lea    ("esi",&DWP($U2,"esp"));
1757         &lea    ("ebp",&DWP($U2,"esp"));
1758         &lea    ("edi",&DWP($Hsqr,"esp"));
1759         &call   ("_ecp_nistz256_add");          # p256_mul_by_2(Hsqr, U2);
1760
1761         &lea    ("esi",&DWP($Rsqr,"esp"));
1762         &lea    ("ebp",&DWP($Hsqr,"esp"));
1763         &lea    ("edi",&DWP($res_x,"esp"));
1764         &call   ("_ecp_nistz256_sub");          # p256_sub(res_x, Rsqr, Hsqr);
1765
1766         &lea    ("esi",&DWP($res_x,"esp"));
1767         &lea    ("ebp",&DWP($Hcub,"esp"));
1768         &lea    ("edi",&DWP($res_x,"esp"));
1769         &call   ("_ecp_nistz256_sub");          # p256_sub(res_x, res_x, Hcub);
1770
1771         &lea    ("esi",&DWP($U2,"esp"));
1772         &lea    ("ebp",&DWP($res_x,"esp"));
1773         &lea    ("edi",&DWP($res_y,"esp"));
1774         &call   ("_ecp_nistz256_sub");          # p256_sub(res_y, U2, res_x);
1775
1776         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1777         &lea    ("esi",&DWP($Hcub,"esp"));
1778         &lea    ("ebp",&DWP($in1_y,"esp"));
1779         &lea    ("edi",&DWP($S2,"esp"));
1780         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(S2, Hcub, in1_y);
1781
1782         &mov    ("eax",&DWP(32*15+8,"esp"));    # OPENSSL_ia32cap_P copy
1783         &lea    ("esi",&DWP($R,"esp"));
1784         &lea    ("ebp",&DWP($res_y,"esp"));
1785         &lea    ("edi",&DWP($res_y,"esp"));
1786         &call   ("_ecp_nistz256_mul_mont");     # p256_mul_mont(res_y, res_y, R);
1787
1788         &lea    ("esi",&DWP($res_y,"esp"));
1789         &lea    ("ebp",&DWP($S2,"esp"));
1790         &lea    ("edi",&DWP($res_y,"esp"));
1791         &call   ("_ecp_nistz256_sub");          # p256_sub(res_y, res_y, S2);
1792
1793         &mov    ("ebp",&DWP(32*15+0,"esp"));    # !in1infty
1794         &mov    ("esi",&DWP(32*15+4,"esp"));    # !in2infty
1795         &mov    ("edi",&wparam(0));
1796         &mov    ("edx","ebp");
1797         &not    ("ebp");
1798         &and    ("edx","esi");
1799         &and    ("ebp","esi");
1800         &not    ("esi");
1801
1802         ########################################
1803         # conditional moves
1804     for($i=64;$i<96;$i+=4) {
1805         my $one=@ONE_mont[($i-64)/4];
1806
1807         &mov    ("eax","edx");
1808         &and    ("eax",&DWP($res_x+$i,"esp"));
1809         &mov    ("ebx","ebp")                   if ($one && $one!=-1);
1810         &and    ("ebx",$one)                    if ($one && $one!=-1);
1811         &mov    ("ecx","esi");
1812         &and    ("ecx",&DWP($in1_x+$i,"esp"));
1813         &or     ("eax",$one==-1?"ebp":"ebx")    if ($one);
1814         &or     ("eax","ecx");
1815         &mov    (&DWP($i,"edi"),"eax");
1816     }
1817     for($i=0;$i<64;$i+=4) {
1818         &mov    ("eax","edx");
1819         &and    ("eax",&DWP($res_x+$i,"esp"));
1820         &mov    ("ebx","ebp");
1821         &and    ("ebx",&DWP($in2_x+$i,"esp"));
1822         &mov    ("ecx","esi");
1823         &and    ("ecx",&DWP($in1_x+$i,"esp"));
1824         &or     ("eax","ebx");
1825         &or     ("eax","ecx");
1826         &mov    (&DWP($i,"edi"),"eax");
1827     }
1828         &stack_pop(8*15+3);
1829 } &function_end("ecp_nistz256_point_add_affine");
1830
1831 &asm_finish();