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1 | .explicit | ||
2 | .text | ||
3 | .ident "ia64.S, Version 2.0" | ||
4 | .ident "IA-64 ISA artwork by Andy Polyakov <appro@fy.chalmers.se>" | ||
5 | |||
6 | // | ||
7 | // ==================================================================== | ||
8 | // Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL | ||
9 | // project. | ||
10 | // | ||
11 | // Rights for redistribution and usage in source and binary forms are | ||
12 | // granted according to the OpenSSL license. Warranty of any kind is | ||
13 | // disclaimed. | ||
14 | // ==================================================================== | ||
15 | // | ||
16 | // Version 2.x is Itanium2 re-tune. Few words about how Itanum2 is | ||
17 | // different from Itanium to this module viewpoint. Most notably, is it | ||
18 | // "wider" than Itanium? Can you experience loop scalability as | ||
19 | // discussed in commentary sections? Not really:-( Itanium2 has 6 | ||
20 | // integer ALU ports, i.e. it's 2 ports wider, but it's not enough to | ||
21 | // spin twice as fast, as I need 8 IALU ports. Amount of floating point | ||
22 | // ports is the same, i.e. 2, while I need 4. In other words, to this | ||
23 | // module Itanium2 remains effectively as "wide" as Itanium. Yet it's | ||
24 | // essentially different in respect to this module, and a re-tune was | ||
25 | // required. Well, because some intruction latencies has changed. Most | ||
26 | // noticeably those intensively used: | ||
27 | // | ||
28 | // Itanium Itanium2 | ||
29 | // ldf8 9 6 L2 hit | ||
30 | // ld8 2 1 L1 hit | ||
31 | // getf 2 5 | ||
32 | // xma[->getf] 7[+1] 4[+0] | ||
33 | // add[->st8] 1[+1] 1[+0] | ||
34 | // | ||
35 | // What does it mean? You might ratiocinate that the original code | ||
36 | // should run just faster... Because sum of latencies is smaller... | ||
37 | // Wrong! Note that getf latency increased. This means that if a loop is | ||
38 | // scheduled for lower latency (and they are), then it will suffer from | ||
39 | // stall condition and the code will therefore turn anti-scalable, e.g. | ||
40 | // original bn_mul_words spun at 5*n or 2.5 times slower than expected | ||
41 | // on Itanium2! What to do? Reschedule loops for Itanium2? But then | ||
42 | // Itanium would exhibit anti-scalability. So I've chosen to reschedule | ||
43 | // for worst latency for every instruction aiming for best *all-round* | ||
44 | // performance. | ||
45 | |||
46 | // Q. How much faster does it get? | ||
47 | // A. Here is the output from 'openssl speed rsa dsa' for vanilla | ||
48 | // 0.9.6a compiled with gcc version 2.96 20000731 (Red Hat | ||
49 | // Linux 7.1 2.96-81): | ||
50 | // | ||
51 | // sign verify sign/s verify/s | ||
52 | // rsa 512 bits 0.0036s 0.0003s 275.3 2999.2 | ||
53 | // rsa 1024 bits 0.0203s 0.0011s 49.3 894.1 | ||
54 | // rsa 2048 bits 0.1331s 0.0040s 7.5 250.9 | ||
55 | // rsa 4096 bits 0.9270s 0.0147s 1.1 68.1 | ||
56 | // sign verify sign/s verify/s | ||
57 | // dsa 512 bits 0.0035s 0.0043s 288.3 234.8 | ||
58 | // dsa 1024 bits 0.0111s 0.0135s 90.0 74.2 | ||
59 | // | ||
60 | // And here is similar output but for this assembler | ||
61 | // implementation:-) | ||
62 | // | ||
63 | // sign verify sign/s verify/s | ||
64 | // rsa 512 bits 0.0021s 0.0001s 549.4 9638.5 | ||
65 | // rsa 1024 bits 0.0055s 0.0002s 183.8 4481.1 | ||
66 | // rsa 2048 bits 0.0244s 0.0006s 41.4 1726.3 | ||
67 | // rsa 4096 bits 0.1295s 0.0018s 7.7 561.5 | ||
68 | // sign verify sign/s verify/s | ||
69 | // dsa 512 bits 0.0012s 0.0013s 891.9 756.6 | ||
70 | // dsa 1024 bits 0.0023s 0.0028s 440.4 376.2 | ||
71 | // | ||
72 | // Yes, you may argue that it's not fair comparison as it's | ||
73 | // possible to craft the C implementation with BN_UMULT_HIGH | ||
74 | // inline assembler macro. But of course! Here is the output | ||
75 | // with the macro: | ||
76 | // | ||
77 | // sign verify sign/s verify/s | ||
78 | // rsa 512 bits 0.0020s 0.0002s 495.0 6561.0 | ||
79 | // rsa 1024 bits 0.0086s 0.0004s 116.2 2235.7 | ||
80 | // rsa 2048 bits 0.0519s 0.0015s 19.3 667.3 | ||
81 | // rsa 4096 bits 0.3464s 0.0053s 2.9 187.7 | ||
82 | // sign verify sign/s verify/s | ||
83 | // dsa 512 bits 0.0016s 0.0020s 613.1 510.5 | ||
84 | // dsa 1024 bits 0.0045s 0.0054s 221.0 183.9 | ||
85 | // | ||
86 | // My code is still way faster, huh:-) And I believe that even | ||
87 | // higher performance can be achieved. Note that as keys get | ||
88 | // longer, performance gain is larger. Why? According to the | ||
89 | // profiler there is another player in the field, namely | ||
90 | // BN_from_montgomery consuming larger and larger portion of CPU | ||
91 | // time as keysize decreases. I therefore consider putting effort | ||
92 | // to assembler implementation of the following routine: | ||
93 | // | ||
94 | // void bn_mul_add_mont (BN_ULONG *rp,BN_ULONG *np,int nl,BN_ULONG n0) | ||
95 | // { | ||
96 | // int i,j; | ||
97 | // BN_ULONG v; | ||
98 | // | ||
99 | // for (i=0; i<nl; i++) | ||
100 | // { | ||
101 | // v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2); | ||
102 | // nrp++; | ||
103 | // rp++; | ||
104 | // if (((nrp[-1]+=v)&BN_MASK2) < v) | ||
105 | // for (j=0; ((++nrp[j])&BN_MASK2) == 0; j++) ; | ||
106 | // } | ||
107 | // } | ||
108 | // | ||
109 | // It might as well be beneficial to implement even combaX | ||
110 | // variants, as it appears as it can literally unleash the | ||
111 | // performance (see comment section to bn_mul_comba8 below). | ||
112 | // | ||
113 | // And finally for your reference the output for 0.9.6a compiled | ||
114 | // with SGIcc version 0.01.0-12 (keep in mind that for the moment | ||
115 | // of this writing it's not possible to convince SGIcc to use | ||
116 | // BN_UMULT_HIGH inline assembler macro, yet the code is fast, | ||
117 | // i.e. for a compiler generated one:-): | ||
118 | // | ||
119 | // sign verify sign/s verify/s | ||
120 | // rsa 512 bits 0.0022s 0.0002s 452.7 5894.3 | ||
121 | // rsa 1024 bits 0.0097s 0.0005s 102.7 2002.9 | ||
122 | // rsa 2048 bits 0.0578s 0.0017s 17.3 600.2 | ||
123 | // rsa 4096 bits 0.3838s 0.0061s 2.6 164.5 | ||
124 | // sign verify sign/s verify/s | ||
125 | // dsa 512 bits 0.0018s 0.0022s 547.3 459.6 | ||
126 | // dsa 1024 bits 0.0051s 0.0062s 196.6 161.3 | ||
127 | // | ||
128 | // Oh! Benchmarks were performed on 733MHz Lion-class Itanium | ||
129 | // system running Redhat Linux 7.1 (very special thanks to Ray | ||
130 | // McCaffity of Williams Communications for providing an account). | ||
131 | // | ||
132 | // Q. What's the heck with 'rum 1<<5' at the end of every function? | ||
133 | // A. Well, by clearing the "upper FP registers written" bit of the | ||
134 | // User Mask I want to excuse the kernel from preserving upper | ||
135 | // (f32-f128) FP register bank over process context switch, thus | ||
136 | // minimizing bus bandwidth consumption during the switch (i.e. | ||
137 | // after PKI opration completes and the program is off doing | ||
138 | // something else like bulk symmetric encryption). Having said | ||
139 | // this, I also want to point out that it might be good idea | ||
140 | // to compile the whole toolkit (as well as majority of the | ||
141 | // programs for that matter) with -mfixed-range=f32-f127 command | ||
142 | // line option. No, it doesn't prevent the compiler from writing | ||
143 | // to upper bank, but at least discourages to do so. If you don't | ||
144 | // like the idea you have the option to compile the module with | ||
145 | // -Drum=nop.m in command line. | ||
146 | // | ||
147 | |||
148 | #if 1 | ||
149 | // | ||
150 | // bn_[add|sub]_words routines. | ||
151 | // | ||
152 | // Loops are spinning in 2*(n+5) ticks on Itanuim (provided that the | ||
153 | // data reside in L1 cache, i.e. 2 ticks away). It's possible to | ||
154 | // compress the epilogue and get down to 2*n+6, but at the cost of | ||
155 | // scalability (the neat feature of this implementation is that it | ||
156 | // shall automagically spin in n+5 on "wider" IA-64 implementations:-) | ||
157 | // I consider that the epilogue is short enough as it is to trade tiny | ||
158 | // performance loss on Itanium for scalability. | ||
159 | // | ||
160 | // BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num) | ||
161 | // | ||
162 | .global bn_add_words# | ||
163 | .proc bn_add_words# | ||
164 | .align 64 | ||
165 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
166 | bn_add_words: | ||
167 | .prologue | ||
168 | .fframe 0 | ||
169 | .save ar.pfs,r2 | ||
170 | { .mii; alloc r2=ar.pfs,4,12,0,16 | ||
171 | cmp4.le p6,p0=r35,r0 };; | ||
172 | { .mfb; mov r8=r0 // return value | ||
173 | (p6) br.ret.spnt.many b0 };; | ||
174 | |||
175 | .save ar.lc,r3 | ||
176 | { .mib; sub r10=r35,r0,1 | ||
177 | mov r3=ar.lc | ||
178 | brp.loop.imp .L_bn_add_words_ctop,.L_bn_add_words_cend-16 | ||
179 | } | ||
180 | .body | ||
181 | { .mib; | ||
182 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
183 | addp4 r14=0,r32 // rp | ||
184 | #else | ||
185 | mov r14=r32 // rp | ||
186 | #endif | ||
187 | mov r9=pr };; | ||
188 | { .mii; | ||
189 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
190 | addp4 r15=0,r33 // ap | ||
191 | #else | ||
192 | mov r15=r33 // ap | ||
193 | #endif | ||
194 | mov ar.lc=r10 | ||
195 | mov ar.ec=6 } | ||
196 | { .mib; | ||
197 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
198 | addp4 r16=0,r34 // bp | ||
199 | #else | ||
200 | mov r16=r34 // bp | ||
201 | #endif | ||
202 | mov pr.rot=1<<16 };; | ||
203 | |||
204 | .L_bn_add_words_ctop: | ||
205 | { .mii; (p16) ld8 r32=[r16],8 // b=*(bp++) | ||
206 | (p18) add r39=r37,r34 | ||
207 | (p19) cmp.ltu.unc p56,p0=r40,r38 } | ||
208 | { .mfb; (p0) nop.m 0x0 | ||
209 | (p0) nop.f 0x0 | ||
210 | (p0) nop.b 0x0 } | ||
211 | { .mii; (p16) ld8 r35=[r15],8 // a=*(ap++) | ||
212 | (p58) cmp.eq.or p57,p0=-1,r41 // (p20) | ||
213 | (p58) add r41=1,r41 } // (p20) | ||
214 | { .mfb; (p21) st8 [r14]=r42,8 // *(rp++)=r | ||
215 | (p0) nop.f 0x0 | ||
216 | br.ctop.sptk .L_bn_add_words_ctop };; | ||
217 | .L_bn_add_words_cend: | ||
218 | |||
219 | { .mii; | ||
220 | (p59) add r8=1,r8 // return value | ||
221 | mov pr=r9,0x1ffff | ||
222 | mov ar.lc=r3 } | ||
223 | { .mbb; nop.b 0x0 | ||
224 | br.ret.sptk.many b0 };; | ||
225 | .endp bn_add_words# | ||
226 | |||
227 | // | ||
228 | // BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num) | ||
229 | // | ||
230 | .global bn_sub_words# | ||
231 | .proc bn_sub_words# | ||
232 | .align 64 | ||
233 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
234 | bn_sub_words: | ||
235 | .prologue | ||
236 | .fframe 0 | ||
237 | .save ar.pfs,r2 | ||
238 | { .mii; alloc r2=ar.pfs,4,12,0,16 | ||
239 | cmp4.le p6,p0=r35,r0 };; | ||
240 | { .mfb; mov r8=r0 // return value | ||
241 | (p6) br.ret.spnt.many b0 };; | ||
242 | |||
243 | .save ar.lc,r3 | ||
244 | { .mib; sub r10=r35,r0,1 | ||
245 | mov r3=ar.lc | ||
246 | brp.loop.imp .L_bn_sub_words_ctop,.L_bn_sub_words_cend-16 | ||
247 | } | ||
248 | .body | ||
249 | { .mib; | ||
250 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
251 | addp4 r14=0,r32 // rp | ||
252 | #else | ||
253 | mov r14=r32 // rp | ||
254 | #endif | ||
255 | mov r9=pr };; | ||
256 | { .mii; | ||
257 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
258 | addp4 r15=0,r33 // ap | ||
259 | #else | ||
260 | mov r15=r33 // ap | ||
261 | #endif | ||
262 | mov ar.lc=r10 | ||
263 | mov ar.ec=6 } | ||
264 | { .mib; | ||
265 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
266 | addp4 r16=0,r34 // bp | ||
267 | #else | ||
268 | mov r16=r34 // bp | ||
269 | #endif | ||
270 | mov pr.rot=1<<16 };; | ||
271 | |||
272 | .L_bn_sub_words_ctop: | ||
273 | { .mii; (p16) ld8 r32=[r16],8 // b=*(bp++) | ||
274 | (p18) sub r39=r37,r34 | ||
275 | (p19) cmp.gtu.unc p56,p0=r40,r38 } | ||
276 | { .mfb; (p0) nop.m 0x0 | ||
277 | (p0) nop.f 0x0 | ||
278 | (p0) nop.b 0x0 } | ||
279 | { .mii; (p16) ld8 r35=[r15],8 // a=*(ap++) | ||
280 | (p58) cmp.eq.or p57,p0=0,r41 // (p20) | ||
281 | (p58) add r41=-1,r41 } // (p20) | ||
282 | { .mbb; (p21) st8 [r14]=r42,8 // *(rp++)=r | ||
283 | (p0) nop.b 0x0 | ||
284 | br.ctop.sptk .L_bn_sub_words_ctop };; | ||
285 | .L_bn_sub_words_cend: | ||
286 | |||
287 | { .mii; | ||
288 | (p59) add r8=1,r8 // return value | ||
289 | mov pr=r9,0x1ffff | ||
290 | mov ar.lc=r3 } | ||
291 | { .mbb; nop.b 0x0 | ||
292 | br.ret.sptk.many b0 };; | ||
293 | .endp bn_sub_words# | ||
294 | #endif | ||
295 | |||
296 | #if 0 | ||
297 | #define XMA_TEMPTATION | ||
298 | #endif | ||
299 | |||
300 | #if 1 | ||
301 | // | ||
302 | // BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) | ||
303 | // | ||
304 | .global bn_mul_words# | ||
305 | .proc bn_mul_words# | ||
306 | .align 64 | ||
307 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
308 | bn_mul_words: | ||
309 | .prologue | ||
310 | .fframe 0 | ||
311 | .save ar.pfs,r2 | ||
312 | #ifdef XMA_TEMPTATION | ||
313 | { .mfi; alloc r2=ar.pfs,4,0,0,0 };; | ||
314 | #else | ||
315 | { .mfi; alloc r2=ar.pfs,4,12,0,16 };; | ||
316 | #endif | ||
317 | { .mib; mov r8=r0 // return value | ||
318 | cmp4.le p6,p0=r34,r0 | ||
319 | (p6) br.ret.spnt.many b0 };; | ||
320 | |||
321 | .save ar.lc,r3 | ||
322 | { .mii; sub r10=r34,r0,1 | ||
323 | mov r3=ar.lc | ||
324 | mov r9=pr };; | ||
325 | |||
326 | .body | ||
327 | { .mib; setf.sig f8=r35 // w | ||
328 | mov pr.rot=0x800001<<16 | ||
329 | // ------^----- serves as (p50) at first (p27) | ||
330 | brp.loop.imp .L_bn_mul_words_ctop,.L_bn_mul_words_cend-16 | ||
331 | } | ||
332 | |||
333 | #ifndef XMA_TEMPTATION | ||
334 | |||
335 | { .mii; | ||
336 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
337 | addp4 r14=0,r32 // rp | ||
338 | addp4 r15=0,r33 // ap | ||
339 | #else | ||
340 | mov r14=r32 // rp | ||
341 | mov r15=r33 // ap | ||
342 | #endif | ||
343 | mov ar.lc=r10 } | ||
344 | { .mii; mov r40=0 // serves as r35 at first (p27) | ||
345 | mov ar.ec=13 };; | ||
346 | |||
347 | // This loop spins in 2*(n+12) ticks. It's scheduled for data in Itanium | ||
348 | // L2 cache (i.e. 9 ticks away) as floating point load/store instructions | ||
349 | // bypass L1 cache and L2 latency is actually best-case scenario for | ||
350 | // ldf8. The loop is not scalable and shall run in 2*(n+12) even on | ||
351 | // "wider" IA-64 implementations. It's a trade-off here. n+24 loop | ||
352 | // would give us ~5% in *overall* performance improvement on "wider" | ||
353 | // IA-64, but would hurt Itanium for about same because of longer | ||
354 | // epilogue. As it's a matter of few percents in either case I've | ||
355 | // chosen to trade the scalability for development time (you can see | ||
356 | // this very instruction sequence in bn_mul_add_words loop which in | ||
357 | // turn is scalable). | ||
358 | .L_bn_mul_words_ctop: | ||
359 | { .mfi; (p25) getf.sig r36=f52 // low | ||
360 | (p21) xmpy.lu f48=f37,f8 | ||
361 | (p28) cmp.ltu p54,p50=r41,r39 } | ||
362 | { .mfi; (p16) ldf8 f32=[r15],8 | ||
363 | (p21) xmpy.hu f40=f37,f8 | ||
364 | (p0) nop.i 0x0 };; | ||
365 | { .mii; (p25) getf.sig r32=f44 // high | ||
366 | .pred.rel "mutex",p50,p54 | ||
367 | (p50) add r40=r38,r35 // (p27) | ||
368 | (p54) add r40=r38,r35,1 } // (p27) | ||
369 | { .mfb; (p28) st8 [r14]=r41,8 | ||
370 | (p0) nop.f 0x0 | ||
371 | br.ctop.sptk .L_bn_mul_words_ctop };; | ||
372 | .L_bn_mul_words_cend: | ||
373 | |||
374 | { .mii; nop.m 0x0 | ||
375 | .pred.rel "mutex",p51,p55 | ||
376 | (p51) add r8=r36,r0 | ||
377 | (p55) add r8=r36,r0,1 } | ||
378 | { .mfb; nop.m 0x0 | ||
379 | nop.f 0x0 | ||
380 | nop.b 0x0 } | ||
381 | |||
382 | #else // XMA_TEMPTATION | ||
383 | |||
384 | setf.sig f37=r0 // serves as carry at (p18) tick | ||
385 | mov ar.lc=r10 | ||
386 | mov ar.ec=5;; | ||
387 | |||
388 | // Most of you examining this code very likely wonder why in the name | ||
389 | // of Intel the following loop is commented out? Indeed, it looks so | ||
390 | // neat that you find it hard to believe that it's something wrong | ||
391 | // with it, right? The catch is that every iteration depends on the | ||
392 | // result from previous one and the latter isn't available instantly. | ||
393 | // The loop therefore spins at the latency of xma minus 1, or in other | ||
394 | // words at 6*(n+4) ticks:-( Compare to the "production" loop above | ||
395 | // that runs in 2*(n+11) where the low latency problem is worked around | ||
396 | // by moving the dependency to one-tick latent interger ALU. Note that | ||
397 | // "distance" between ldf8 and xma is not latency of ldf8, but the | ||
398 | // *difference* between xma and ldf8 latencies. | ||
399 | .L_bn_mul_words_ctop: | ||
400 | { .mfi; (p16) ldf8 f32=[r33],8 | ||
401 | (p18) xma.hu f38=f34,f8,f39 } | ||
402 | { .mfb; (p20) stf8 [r32]=f37,8 | ||
403 | (p18) xma.lu f35=f34,f8,f39 | ||
404 | br.ctop.sptk .L_bn_mul_words_ctop };; | ||
405 | .L_bn_mul_words_cend: | ||
406 | |||
407 | getf.sig r8=f41 // the return value | ||
408 | |||
409 | #endif // XMA_TEMPTATION | ||
410 | |||
411 | { .mii; nop.m 0x0 | ||
412 | mov pr=r9,0x1ffff | ||
413 | mov ar.lc=r3 } | ||
414 | { .mfb; rum 1<<5 // clear um.mfh | ||
415 | nop.f 0x0 | ||
416 | br.ret.sptk.many b0 };; | ||
417 | .endp bn_mul_words# | ||
418 | #endif | ||
419 | |||
420 | #if 1 | ||
421 | // | ||
422 | // BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) | ||
423 | // | ||
424 | .global bn_mul_add_words# | ||
425 | .proc bn_mul_add_words# | ||
426 | .align 64 | ||
427 | //.skip 0 // makes the loop split at 64-byte boundary | ||
428 | bn_mul_add_words: | ||
429 | .prologue | ||
430 | .fframe 0 | ||
431 | .save ar.pfs,r2 | ||
432 | { .mii; alloc r2=ar.pfs,4,12,0,16 | ||
433 | cmp4.le p6,p0=r34,r0 };; | ||
434 | { .mfb; mov r8=r0 // return value | ||
435 | (p6) br.ret.spnt.many b0 };; | ||
436 | |||
437 | .save ar.lc,r3 | ||
438 | { .mii; sub r10=r34,r0,1 | ||
439 | mov r3=ar.lc | ||
440 | mov r9=pr };; | ||
441 | |||
442 | .body | ||
443 | { .mib; setf.sig f8=r35 // w | ||
444 | mov pr.rot=0x800001<<16 | ||
445 | // ------^----- serves as (p50) at first (p27) | ||
446 | brp.loop.imp .L_bn_mul_add_words_ctop,.L_bn_mul_add_words_cend-16 | ||
447 | } | ||
448 | { .mii; | ||
449 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
450 | addp4 r14=0,r32 // rp | ||
451 | addp4 r15=0,r33 // ap | ||
452 | #else | ||
453 | mov r14=r32 // rp | ||
454 | mov r15=r33 // ap | ||
455 | #endif | ||
456 | mov ar.lc=r10 } | ||
457 | { .mii; mov r40=0 // serves as r35 at first (p27) | ||
458 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
459 | addp4 r18=0,r32 // rp copy | ||
460 | #else | ||
461 | mov r18=r32 // rp copy | ||
462 | #endif | ||
463 | mov ar.ec=15 };; | ||
464 | |||
465 | // This loop spins in 3*(n+14) ticks on Itanium and should spin in | ||
466 | // 2*(n+14) on "wider" IA-64 implementations (to be verified with new | ||
467 | // µ-architecture manuals as they become available). As usual it's | ||
468 | // possible to compress the epilogue, down to 10 in this case, at the | ||
469 | // cost of scalability. Compressed (and therefore non-scalable) loop | ||
470 | // running at 3*(n+11) would buy you ~10% on Itanium but take ~35% | ||
471 | // from "wider" IA-64 so let it be scalable! Special attention was | ||
472 | // paid for having the loop body split at 64-byte boundary. ld8 is | ||
473 | // scheduled for L1 cache as the data is more than likely there. | ||
474 | // Indeed, bn_mul_words has put it there a moment ago:-) | ||
475 | .L_bn_mul_add_words_ctop: | ||
476 | { .mfi; (p25) getf.sig r36=f52 // low | ||
477 | (p21) xmpy.lu f48=f37,f8 | ||
478 | (p28) cmp.ltu p54,p50=r41,r39 } | ||
479 | { .mfi; (p16) ldf8 f32=[r15],8 | ||
480 | (p21) xmpy.hu f40=f37,f8 | ||
481 | (p28) add r45=r45,r41 };; | ||
482 | { .mii; (p25) getf.sig r32=f44 // high | ||
483 | .pred.rel "mutex",p50,p54 | ||
484 | (p50) add r40=r38,r35 // (p27) | ||
485 | (p54) add r40=r38,r35,1 } // (p27) | ||
486 | { .mfb; (p28) cmp.ltu.unc p60,p0=r45,r41 | ||
487 | (p0) nop.f 0x0 | ||
488 | (p0) nop.b 0x0 } | ||
489 | { .mii; (p27) ld8 r44=[r18],8 | ||
490 | (p62) cmp.eq.or p61,p0=-1,r46 | ||
491 | (p62) add r46=1,r46 } | ||
492 | { .mfb; (p30) st8 [r14]=r47,8 | ||
493 | (p0) nop.f 0x0 | ||
494 | br.ctop.sptk .L_bn_mul_add_words_ctop};; | ||
495 | .L_bn_mul_add_words_cend: | ||
496 | |||
497 | { .mii; nop.m 0x0 | ||
498 | .pred.rel "mutex",p53,p57 | ||
499 | (p53) add r8=r38,r0 | ||
500 | (p57) add r8=r38,r0,1 } | ||
501 | { .mfb; nop.m 0x0 | ||
502 | nop.f 0x0 | ||
503 | nop.b 0x0 };; | ||
504 | { .mii; | ||
505 | (p63) add r8=1,r8 | ||
506 | mov pr=r9,0x1ffff | ||
507 | mov ar.lc=r3 } | ||
508 | { .mfb; rum 1<<5 // clear um.mfh | ||
509 | nop.f 0x0 | ||
510 | br.ret.sptk.many b0 };; | ||
511 | .endp bn_mul_add_words# | ||
512 | #endif | ||
513 | |||
514 | #if 1 | ||
515 | // | ||
516 | // void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num) | ||
517 | // | ||
518 | .global bn_sqr_words# | ||
519 | .proc bn_sqr_words# | ||
520 | .align 64 | ||
521 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
522 | bn_sqr_words: | ||
523 | .prologue | ||
524 | .fframe 0 | ||
525 | .save ar.pfs,r2 | ||
526 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
527 | sxt4 r34=r34 };; | ||
528 | { .mii; cmp.le p6,p0=r34,r0 | ||
529 | mov r8=r0 } // return value | ||
530 | { .mfb; nop.f 0x0 | ||
531 | (p6) br.ret.spnt.many b0 };; | ||
532 | |||
533 | .save ar.lc,r3 | ||
534 | { .mii; sub r10=r34,r0,1 | ||
535 | mov r3=ar.lc | ||
536 | mov r9=pr };; | ||
537 | |||
538 | .body | ||
539 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
540 | { .mii; addp4 r32=0,r32 | ||
541 | addp4 r33=0,r33 };; | ||
542 | #endif | ||
543 | { .mib; | ||
544 | mov pr.rot=1<<16 | ||
545 | brp.loop.imp .L_bn_sqr_words_ctop,.L_bn_sqr_words_cend-16 | ||
546 | } | ||
547 | { .mii; add r34=8,r32 | ||
548 | mov ar.lc=r10 | ||
549 | mov ar.ec=18 };; | ||
550 | |||
551 | // 2*(n+17) on Itanium, (n+17) on "wider" IA-64 implementations. It's | ||
552 | // possible to compress the epilogue (I'm getting tired to write this | ||
553 | // comment over and over) and get down to 2*n+16 at the cost of | ||
554 | // scalability. The decision will very likely be reconsidered after the | ||
555 | // benchmark program is profiled. I.e. if perfomance gain on Itanium | ||
556 | // will appear larger than loss on "wider" IA-64, then the loop should | ||
557 | // be explicitely split and the epilogue compressed. | ||
558 | .L_bn_sqr_words_ctop: | ||
559 | { .mfi; (p16) ldf8 f32=[r33],8 | ||
560 | (p25) xmpy.lu f42=f41,f41 | ||
561 | (p0) nop.i 0x0 } | ||
562 | { .mib; (p33) stf8 [r32]=f50,16 | ||
563 | (p0) nop.i 0x0 | ||
564 | (p0) nop.b 0x0 } | ||
565 | { .mfi; (p0) nop.m 0x0 | ||
566 | (p25) xmpy.hu f52=f41,f41 | ||
567 | (p0) nop.i 0x0 } | ||
568 | { .mib; (p33) stf8 [r34]=f60,16 | ||
569 | (p0) nop.i 0x0 | ||
570 | br.ctop.sptk .L_bn_sqr_words_ctop };; | ||
571 | .L_bn_sqr_words_cend: | ||
572 | |||
573 | { .mii; nop.m 0x0 | ||
574 | mov pr=r9,0x1ffff | ||
575 | mov ar.lc=r3 } | ||
576 | { .mfb; rum 1<<5 // clear um.mfh | ||
577 | nop.f 0x0 | ||
578 | br.ret.sptk.many b0 };; | ||
579 | .endp bn_sqr_words# | ||
580 | #endif | ||
581 | |||
582 | #if 1 | ||
583 | // Apparently we win nothing by implementing special bn_sqr_comba8. | ||
584 | // Yes, it is possible to reduce the number of multiplications by | ||
585 | // almost factor of two, but then the amount of additions would | ||
586 | // increase by factor of two (as we would have to perform those | ||
587 | // otherwise performed by xma ourselves). Normally we would trade | ||
588 | // anyway as multiplications are way more expensive, but not this | ||
589 | // time... Multiplication kernel is fully pipelined and as we drain | ||
590 | // one 128-bit multiplication result per clock cycle multiplications | ||
591 | // are effectively as inexpensive as additions. Special implementation | ||
592 | // might become of interest for "wider" IA-64 implementation as you'll | ||
593 | // be able to get through the multiplication phase faster (there won't | ||
594 | // be any stall issues as discussed in the commentary section below and | ||
595 | // you therefore will be able to employ all 4 FP units)... But these | ||
596 | // Itanium days it's simply too hard to justify the effort so I just | ||
597 | // drop down to bn_mul_comba8 code:-) | ||
598 | // | ||
599 | // void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a) | ||
600 | // | ||
601 | .global bn_sqr_comba8# | ||
602 | .proc bn_sqr_comba8# | ||
603 | .align 64 | ||
604 | bn_sqr_comba8: | ||
605 | .prologue | ||
606 | .fframe 0 | ||
607 | .save ar.pfs,r2 | ||
608 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
609 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
610 | addp4 r33=0,r33 | ||
611 | addp4 r32=0,r32 };; | ||
612 | { .mii; | ||
613 | #else | ||
614 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
615 | #endif | ||
616 | mov r34=r33 | ||
617 | add r14=8,r33 };; | ||
618 | .body | ||
619 | { .mii; add r17=8,r34 | ||
620 | add r15=16,r33 | ||
621 | add r18=16,r34 } | ||
622 | { .mfb; add r16=24,r33 | ||
623 | br .L_cheat_entry_point8 };; | ||
624 | .endp bn_sqr_comba8# | ||
625 | #endif | ||
626 | |||
627 | #if 1 | ||
628 | // I've estimated this routine to run in ~120 ticks, but in reality | ||
629 | // (i.e. according to ar.itc) it takes ~160 ticks. Are those extra | ||
630 | // cycles consumed for instructions fetch? Or did I misinterpret some | ||
631 | // clause in Itanium µ-architecture manual? Comments are welcomed and | ||
632 | // highly appreciated. | ||
633 | // | ||
634 | // However! It should be noted that even 160 ticks is darn good result | ||
635 | // as it's over 10 (yes, ten, spelled as t-e-n) times faster than the | ||
636 | // C version (compiled with gcc with inline assembler). I really | ||
637 | // kicked compiler's butt here, didn't I? Yeah! This brings us to the | ||
638 | // following statement. It's damn shame that this routine isn't called | ||
639 | // very often nowadays! According to the profiler most CPU time is | ||
640 | // consumed by bn_mul_add_words called from BN_from_montgomery. In | ||
641 | // order to estimate what we're missing, I've compared the performance | ||
642 | // of this routine against "traditional" implementation, i.e. against | ||
643 | // following routine: | ||
644 | // | ||
645 | // void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) | ||
646 | // { r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]); | ||
647 | // r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]); | ||
648 | // r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]); | ||
649 | // r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]); | ||
650 | // r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]); | ||
651 | // r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]); | ||
652 | // r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]); | ||
653 | // r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]); | ||
654 | // } | ||
655 | // | ||
656 | // The one below is over 8 times faster than the one above:-( Even | ||
657 | // more reasons to "combafy" bn_mul_add_mont... | ||
658 | // | ||
659 | // And yes, this routine really made me wish there were an optimizing | ||
660 | // assembler! It also feels like it deserves a dedication. | ||
661 | // | ||
662 | // To my wife for being there and to my kids... | ||
663 | // | ||
664 | // void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) | ||
665 | // | ||
666 | #define carry1 r14 | ||
667 | #define carry2 r15 | ||
668 | #define carry3 r34 | ||
669 | .global bn_mul_comba8# | ||
670 | .proc bn_mul_comba8# | ||
671 | .align 64 | ||
672 | bn_mul_comba8: | ||
673 | .prologue | ||
674 | .fframe 0 | ||
675 | .save ar.pfs,r2 | ||
676 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
677 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
678 | addp4 r33=0,r33 | ||
679 | addp4 r34=0,r34 };; | ||
680 | { .mii; addp4 r32=0,r32 | ||
681 | #else | ||
682 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
683 | #endif | ||
684 | add r14=8,r33 | ||
685 | add r17=8,r34 } | ||
686 | .body | ||
687 | { .mii; add r15=16,r33 | ||
688 | add r18=16,r34 | ||
689 | add r16=24,r33 } | ||
690 | .L_cheat_entry_point8: | ||
691 | { .mmi; add r19=24,r34 | ||
692 | |||
693 | ldf8 f32=[r33],32 };; | ||
694 | |||
695 | { .mmi; ldf8 f120=[r34],32 | ||
696 | ldf8 f121=[r17],32 } | ||
697 | { .mmi; ldf8 f122=[r18],32 | ||
698 | ldf8 f123=[r19],32 };; | ||
699 | { .mmi; ldf8 f124=[r34] | ||
700 | ldf8 f125=[r17] } | ||
701 | { .mmi; ldf8 f126=[r18] | ||
702 | ldf8 f127=[r19] } | ||
703 | |||
704 | { .mmi; ldf8 f33=[r14],32 | ||
705 | ldf8 f34=[r15],32 } | ||
706 | { .mmi; ldf8 f35=[r16],32;; | ||
707 | ldf8 f36=[r33] } | ||
708 | { .mmi; ldf8 f37=[r14] | ||
709 | ldf8 f38=[r15] } | ||
710 | { .mfi; ldf8 f39=[r16] | ||
711 | // -------\ Entering multiplier's heaven /------- | ||
712 | // ------------\ /------------ | ||
713 | // -----------------\ /----------------- | ||
714 | // ----------------------\/---------------------- | ||
715 | xma.hu f41=f32,f120,f0 } | ||
716 | { .mfi; xma.lu f40=f32,f120,f0 };; // (*) | ||
717 | { .mfi; xma.hu f51=f32,f121,f0 } | ||
718 | { .mfi; xma.lu f50=f32,f121,f0 };; | ||
719 | { .mfi; xma.hu f61=f32,f122,f0 } | ||
720 | { .mfi; xma.lu f60=f32,f122,f0 };; | ||
721 | { .mfi; xma.hu f71=f32,f123,f0 } | ||
722 | { .mfi; xma.lu f70=f32,f123,f0 };; | ||
723 | { .mfi; xma.hu f81=f32,f124,f0 } | ||
724 | { .mfi; xma.lu f80=f32,f124,f0 };; | ||
725 | { .mfi; xma.hu f91=f32,f125,f0 } | ||
726 | { .mfi; xma.lu f90=f32,f125,f0 };; | ||
727 | { .mfi; xma.hu f101=f32,f126,f0 } | ||
728 | { .mfi; xma.lu f100=f32,f126,f0 };; | ||
729 | { .mfi; xma.hu f111=f32,f127,f0 } | ||
730 | { .mfi; xma.lu f110=f32,f127,f0 };;// | ||
731 | // (*) You can argue that splitting at every second bundle would | ||
732 | // prevent "wider" IA-64 implementations from achieving the peak | ||
733 | // performance. Well, not really... The catch is that if you | ||
734 | // intend to keep 4 FP units busy by splitting at every fourth | ||
735 | // bundle and thus perform these 16 multiplications in 4 ticks, | ||
736 | // the first bundle *below* would stall because the result from | ||
737 | // the first xma bundle *above* won't be available for another 3 | ||
738 | // ticks (if not more, being an optimist, I assume that "wider" | ||
739 | // implementation will have same latency:-). This stall will hold | ||
740 | // you back and the performance would be as if every second bundle | ||
741 | // were split *anyway*... | ||
742 | { .mfi; getf.sig r16=f40 | ||
743 | xma.hu f42=f33,f120,f41 | ||
744 | add r33=8,r32 } | ||
745 | { .mfi; xma.lu f41=f33,f120,f41 };; | ||
746 | { .mfi; getf.sig r24=f50 | ||
747 | xma.hu f52=f33,f121,f51 } | ||
748 | { .mfi; xma.lu f51=f33,f121,f51 };; | ||
749 | { .mfi; st8 [r32]=r16,16 | ||
750 | xma.hu f62=f33,f122,f61 } | ||
751 | { .mfi; xma.lu f61=f33,f122,f61 };; | ||
752 | { .mfi; xma.hu f72=f33,f123,f71 } | ||
753 | { .mfi; xma.lu f71=f33,f123,f71 };; | ||
754 | { .mfi; xma.hu f82=f33,f124,f81 } | ||
755 | { .mfi; xma.lu f81=f33,f124,f81 };; | ||
756 | { .mfi; xma.hu f92=f33,f125,f91 } | ||
757 | { .mfi; xma.lu f91=f33,f125,f91 };; | ||
758 | { .mfi; xma.hu f102=f33,f126,f101 } | ||
759 | { .mfi; xma.lu f101=f33,f126,f101 };; | ||
760 | { .mfi; xma.hu f112=f33,f127,f111 } | ||
761 | { .mfi; xma.lu f111=f33,f127,f111 };;// | ||
762 | //-------------------------------------------------// | ||
763 | { .mfi; getf.sig r25=f41 | ||
764 | xma.hu f43=f34,f120,f42 } | ||
765 | { .mfi; xma.lu f42=f34,f120,f42 };; | ||
766 | { .mfi; getf.sig r16=f60 | ||
767 | xma.hu f53=f34,f121,f52 } | ||
768 | { .mfi; xma.lu f52=f34,f121,f52 };; | ||
769 | { .mfi; getf.sig r17=f51 | ||
770 | xma.hu f63=f34,f122,f62 | ||
771 | add r25=r25,r24 } | ||
772 | { .mfi; xma.lu f62=f34,f122,f62 | ||
773 | mov carry1=0 };; | ||
774 | { .mfi; cmp.ltu p6,p0=r25,r24 | ||
775 | xma.hu f73=f34,f123,f72 } | ||
776 | { .mfi; xma.lu f72=f34,f123,f72 };; | ||
777 | { .mfi; st8 [r33]=r25,16 | ||
778 | xma.hu f83=f34,f124,f82 | ||
779 | (p6) add carry1=1,carry1 } | ||
780 | { .mfi; xma.lu f82=f34,f124,f82 };; | ||
781 | { .mfi; xma.hu f93=f34,f125,f92 } | ||
782 | { .mfi; xma.lu f92=f34,f125,f92 };; | ||
783 | { .mfi; xma.hu f103=f34,f126,f102 } | ||
784 | { .mfi; xma.lu f102=f34,f126,f102 };; | ||
785 | { .mfi; xma.hu f113=f34,f127,f112 } | ||
786 | { .mfi; xma.lu f112=f34,f127,f112 };;// | ||
787 | //-------------------------------------------------// | ||
788 | { .mfi; getf.sig r18=f42 | ||
789 | xma.hu f44=f35,f120,f43 | ||
790 | add r17=r17,r16 } | ||
791 | { .mfi; xma.lu f43=f35,f120,f43 };; | ||
792 | { .mfi; getf.sig r24=f70 | ||
793 | xma.hu f54=f35,f121,f53 } | ||
794 | { .mfi; mov carry2=0 | ||
795 | xma.lu f53=f35,f121,f53 };; | ||
796 | { .mfi; getf.sig r25=f61 | ||
797 | xma.hu f64=f35,f122,f63 | ||
798 | cmp.ltu p7,p0=r17,r16 } | ||
799 | { .mfi; add r18=r18,r17 | ||
800 | xma.lu f63=f35,f122,f63 };; | ||
801 | { .mfi; getf.sig r26=f52 | ||
802 | xma.hu f74=f35,f123,f73 | ||
803 | (p7) add carry2=1,carry2 } | ||
804 | { .mfi; cmp.ltu p7,p0=r18,r17 | ||
805 | xma.lu f73=f35,f123,f73 | ||
806 | add r18=r18,carry1 };; | ||
807 | { .mfi; | ||
808 | xma.hu f84=f35,f124,f83 | ||
809 | (p7) add carry2=1,carry2 } | ||
810 | { .mfi; cmp.ltu p7,p0=r18,carry1 | ||
811 | xma.lu f83=f35,f124,f83 };; | ||
812 | { .mfi; st8 [r32]=r18,16 | ||
813 | xma.hu f94=f35,f125,f93 | ||
814 | (p7) add carry2=1,carry2 } | ||
815 | { .mfi; xma.lu f93=f35,f125,f93 };; | ||
816 | { .mfi; xma.hu f104=f35,f126,f103 } | ||
817 | { .mfi; xma.lu f103=f35,f126,f103 };; | ||
818 | { .mfi; xma.hu f114=f35,f127,f113 } | ||
819 | { .mfi; mov carry1=0 | ||
820 | xma.lu f113=f35,f127,f113 | ||
821 | add r25=r25,r24 };;// | ||
822 | //-------------------------------------------------// | ||
823 | { .mfi; getf.sig r27=f43 | ||
824 | xma.hu f45=f36,f120,f44 | ||
825 | cmp.ltu p6,p0=r25,r24 } | ||
826 | { .mfi; xma.lu f44=f36,f120,f44 | ||
827 | add r26=r26,r25 };; | ||
828 | { .mfi; getf.sig r16=f80 | ||
829 | xma.hu f55=f36,f121,f54 | ||
830 | (p6) add carry1=1,carry1 } | ||
831 | { .mfi; xma.lu f54=f36,f121,f54 };; | ||
832 | { .mfi; getf.sig r17=f71 | ||
833 | xma.hu f65=f36,f122,f64 | ||
834 | cmp.ltu p6,p0=r26,r25 } | ||
835 | { .mfi; xma.lu f64=f36,f122,f64 | ||
836 | add r27=r27,r26 };; | ||
837 | { .mfi; getf.sig r18=f62 | ||
838 | xma.hu f75=f36,f123,f74 | ||
839 | (p6) add carry1=1,carry1 } | ||
840 | { .mfi; cmp.ltu p6,p0=r27,r26 | ||
841 | xma.lu f74=f36,f123,f74 | ||
842 | add r27=r27,carry2 };; | ||
843 | { .mfi; getf.sig r19=f53 | ||
844 | xma.hu f85=f36,f124,f84 | ||
845 | (p6) add carry1=1,carry1 } | ||
846 | { .mfi; xma.lu f84=f36,f124,f84 | ||
847 | cmp.ltu p6,p0=r27,carry2 };; | ||
848 | { .mfi; st8 [r33]=r27,16 | ||
849 | xma.hu f95=f36,f125,f94 | ||
850 | (p6) add carry1=1,carry1 } | ||
851 | { .mfi; xma.lu f94=f36,f125,f94 };; | ||
852 | { .mfi; xma.hu f105=f36,f126,f104 } | ||
853 | { .mfi; mov carry2=0 | ||
854 | xma.lu f104=f36,f126,f104 | ||
855 | add r17=r17,r16 };; | ||
856 | { .mfi; xma.hu f115=f36,f127,f114 | ||
857 | cmp.ltu p7,p0=r17,r16 } | ||
858 | { .mfi; xma.lu f114=f36,f127,f114 | ||
859 | add r18=r18,r17 };;// | ||
860 | //-------------------------------------------------// | ||
861 | { .mfi; getf.sig r20=f44 | ||
862 | xma.hu f46=f37,f120,f45 | ||
863 | (p7) add carry2=1,carry2 } | ||
864 | { .mfi; cmp.ltu p7,p0=r18,r17 | ||
865 | xma.lu f45=f37,f120,f45 | ||
866 | add r19=r19,r18 };; | ||
867 | { .mfi; getf.sig r24=f90 | ||
868 | xma.hu f56=f37,f121,f55 } | ||
869 | { .mfi; xma.lu f55=f37,f121,f55 };; | ||
870 | { .mfi; getf.sig r25=f81 | ||
871 | xma.hu f66=f37,f122,f65 | ||
872 | (p7) add carry2=1,carry2 } | ||
873 | { .mfi; cmp.ltu p7,p0=r19,r18 | ||
874 | xma.lu f65=f37,f122,f65 | ||
875 | add r20=r20,r19 };; | ||
876 | { .mfi; getf.sig r26=f72 | ||
877 | xma.hu f76=f37,f123,f75 | ||
878 | (p7) add carry2=1,carry2 } | ||
879 | { .mfi; cmp.ltu p7,p0=r20,r19 | ||
880 | xma.lu f75=f37,f123,f75 | ||
881 | add r20=r20,carry1 };; | ||
882 | { .mfi; getf.sig r27=f63 | ||
883 | xma.hu f86=f37,f124,f85 | ||
884 | (p7) add carry2=1,carry2 } | ||
885 | { .mfi; xma.lu f85=f37,f124,f85 | ||
886 | cmp.ltu p7,p0=r20,carry1 };; | ||
887 | { .mfi; getf.sig r28=f54 | ||
888 | xma.hu f96=f37,f125,f95 | ||
889 | (p7) add carry2=1,carry2 } | ||
890 | { .mfi; st8 [r32]=r20,16 | ||
891 | xma.lu f95=f37,f125,f95 };; | ||
892 | { .mfi; xma.hu f106=f37,f126,f105 } | ||
893 | { .mfi; mov carry1=0 | ||
894 | xma.lu f105=f37,f126,f105 | ||
895 | add r25=r25,r24 };; | ||
896 | { .mfi; xma.hu f116=f37,f127,f115 | ||
897 | cmp.ltu p6,p0=r25,r24 } | ||
898 | { .mfi; xma.lu f115=f37,f127,f115 | ||
899 | add r26=r26,r25 };;// | ||
900 | //-------------------------------------------------// | ||
901 | { .mfi; getf.sig r29=f45 | ||
902 | xma.hu f47=f38,f120,f46 | ||
903 | (p6) add carry1=1,carry1 } | ||
904 | { .mfi; cmp.ltu p6,p0=r26,r25 | ||
905 | xma.lu f46=f38,f120,f46 | ||
906 | add r27=r27,r26 };; | ||
907 | { .mfi; getf.sig r16=f100 | ||
908 | xma.hu f57=f38,f121,f56 | ||
909 | (p6) add carry1=1,carry1 } | ||
910 | { .mfi; cmp.ltu p6,p0=r27,r26 | ||
911 | xma.lu f56=f38,f121,f56 | ||
912 | add r28=r28,r27 };; | ||
913 | { .mfi; getf.sig r17=f91 | ||
914 | xma.hu f67=f38,f122,f66 | ||
915 | (p6) add carry1=1,carry1 } | ||
916 | { .mfi; cmp.ltu p6,p0=r28,r27 | ||
917 | xma.lu f66=f38,f122,f66 | ||
918 | add r29=r29,r28 };; | ||
919 | { .mfi; getf.sig r18=f82 | ||
920 | xma.hu f77=f38,f123,f76 | ||
921 | (p6) add carry1=1,carry1 } | ||
922 | { .mfi; cmp.ltu p6,p0=r29,r28 | ||
923 | xma.lu f76=f38,f123,f76 | ||
924 | add r29=r29,carry2 };; | ||
925 | { .mfi; getf.sig r19=f73 | ||
926 | xma.hu f87=f38,f124,f86 | ||
927 | (p6) add carry1=1,carry1 } | ||
928 | { .mfi; xma.lu f86=f38,f124,f86 | ||
929 | cmp.ltu p6,p0=r29,carry2 };; | ||
930 | { .mfi; getf.sig r20=f64 | ||
931 | xma.hu f97=f38,f125,f96 | ||
932 | (p6) add carry1=1,carry1 } | ||
933 | { .mfi; st8 [r33]=r29,16 | ||
934 | xma.lu f96=f38,f125,f96 };; | ||
935 | { .mfi; getf.sig r21=f55 | ||
936 | xma.hu f107=f38,f126,f106 } | ||
937 | { .mfi; mov carry2=0 | ||
938 | xma.lu f106=f38,f126,f106 | ||
939 | add r17=r17,r16 };; | ||
940 | { .mfi; xma.hu f117=f38,f127,f116 | ||
941 | cmp.ltu p7,p0=r17,r16 } | ||
942 | { .mfi; xma.lu f116=f38,f127,f116 | ||
943 | add r18=r18,r17 };;// | ||
944 | //-------------------------------------------------// | ||
945 | { .mfi; getf.sig r22=f46 | ||
946 | xma.hu f48=f39,f120,f47 | ||
947 | (p7) add carry2=1,carry2 } | ||
948 | { .mfi; cmp.ltu p7,p0=r18,r17 | ||
949 | xma.lu f47=f39,f120,f47 | ||
950 | add r19=r19,r18 };; | ||
951 | { .mfi; getf.sig r24=f110 | ||
952 | xma.hu f58=f39,f121,f57 | ||
953 | (p7) add carry2=1,carry2 } | ||
954 | { .mfi; cmp.ltu p7,p0=r19,r18 | ||
955 | xma.lu f57=f39,f121,f57 | ||
956 | add r20=r20,r19 };; | ||
957 | { .mfi; getf.sig r25=f101 | ||
958 | xma.hu f68=f39,f122,f67 | ||
959 | (p7) add carry2=1,carry2 } | ||
960 | { .mfi; cmp.ltu p7,p0=r20,r19 | ||
961 | xma.lu f67=f39,f122,f67 | ||
962 | add r21=r21,r20 };; | ||
963 | { .mfi; getf.sig r26=f92 | ||
964 | xma.hu f78=f39,f123,f77 | ||
965 | (p7) add carry2=1,carry2 } | ||
966 | { .mfi; cmp.ltu p7,p0=r21,r20 | ||
967 | xma.lu f77=f39,f123,f77 | ||
968 | add r22=r22,r21 };; | ||
969 | { .mfi; getf.sig r27=f83 | ||
970 | xma.hu f88=f39,f124,f87 | ||
971 | (p7) add carry2=1,carry2 } | ||
972 | { .mfi; cmp.ltu p7,p0=r22,r21 | ||
973 | xma.lu f87=f39,f124,f87 | ||
974 | add r22=r22,carry1 };; | ||
975 | { .mfi; getf.sig r28=f74 | ||
976 | xma.hu f98=f39,f125,f97 | ||
977 | (p7) add carry2=1,carry2 } | ||
978 | { .mfi; xma.lu f97=f39,f125,f97 | ||
979 | cmp.ltu p7,p0=r22,carry1 };; | ||
980 | { .mfi; getf.sig r29=f65 | ||
981 | xma.hu f108=f39,f126,f107 | ||
982 | (p7) add carry2=1,carry2 } | ||
983 | { .mfi; st8 [r32]=r22,16 | ||
984 | xma.lu f107=f39,f126,f107 };; | ||
985 | { .mfi; getf.sig r30=f56 | ||
986 | xma.hu f118=f39,f127,f117 } | ||
987 | { .mfi; xma.lu f117=f39,f127,f117 };;// | ||
988 | //-------------------------------------------------// | ||
989 | // Leaving muliplier's heaven... Quite a ride, huh? | ||
990 | |||
991 | { .mii; getf.sig r31=f47 | ||
992 | add r25=r25,r24 | ||
993 | mov carry1=0 };; | ||
994 | { .mii; getf.sig r16=f111 | ||
995 | cmp.ltu p6,p0=r25,r24 | ||
996 | add r26=r26,r25 };; | ||
997 | { .mfb; getf.sig r17=f102 } | ||
998 | { .mii; | ||
999 | (p6) add carry1=1,carry1 | ||
1000 | cmp.ltu p6,p0=r26,r25 | ||
1001 | add r27=r27,r26 };; | ||
1002 | { .mfb; nop.m 0x0 } | ||
1003 | { .mii; | ||
1004 | (p6) add carry1=1,carry1 | ||
1005 | cmp.ltu p6,p0=r27,r26 | ||
1006 | add r28=r28,r27 };; | ||
1007 | { .mii; getf.sig r18=f93 | ||
1008 | add r17=r17,r16 | ||
1009 | mov carry3=0 } | ||
1010 | { .mii; | ||
1011 | (p6) add carry1=1,carry1 | ||
1012 | cmp.ltu p6,p0=r28,r27 | ||
1013 | add r29=r29,r28 };; | ||
1014 | { .mii; getf.sig r19=f84 | ||
1015 | cmp.ltu p7,p0=r17,r16 } | ||
1016 | { .mii; | ||
1017 | (p6) add carry1=1,carry1 | ||
1018 | cmp.ltu p6,p0=r29,r28 | ||
1019 | add r30=r30,r29 };; | ||
1020 | { .mii; getf.sig r20=f75 | ||
1021 | add r18=r18,r17 } | ||
1022 | { .mii; | ||
1023 | (p6) add carry1=1,carry1 | ||
1024 | cmp.ltu p6,p0=r30,r29 | ||
1025 | add r31=r31,r30 };; | ||
1026 | { .mfb; getf.sig r21=f66 } | ||
1027 | { .mii; (p7) add carry3=1,carry3 | ||
1028 | cmp.ltu p7,p0=r18,r17 | ||
1029 | add r19=r19,r18 } | ||
1030 | { .mfb; nop.m 0x0 } | ||
1031 | { .mii; | ||
1032 | (p6) add carry1=1,carry1 | ||
1033 | cmp.ltu p6,p0=r31,r30 | ||
1034 | add r31=r31,carry2 };; | ||
1035 | { .mfb; getf.sig r22=f57 } | ||
1036 | { .mii; (p7) add carry3=1,carry3 | ||
1037 | cmp.ltu p7,p0=r19,r18 | ||
1038 | add r20=r20,r19 } | ||
1039 | { .mfb; nop.m 0x0 } | ||
1040 | { .mii; | ||
1041 | (p6) add carry1=1,carry1 | ||
1042 | cmp.ltu p6,p0=r31,carry2 };; | ||
1043 | { .mfb; getf.sig r23=f48 } | ||
1044 | { .mii; (p7) add carry3=1,carry3 | ||
1045 | cmp.ltu p7,p0=r20,r19 | ||
1046 | add r21=r21,r20 } | ||
1047 | { .mii; | ||
1048 | (p6) add carry1=1,carry1 } | ||
1049 | { .mfb; st8 [r33]=r31,16 };; | ||
1050 | |||
1051 | { .mfb; getf.sig r24=f112 } | ||
1052 | { .mii; (p7) add carry3=1,carry3 | ||
1053 | cmp.ltu p7,p0=r21,r20 | ||
1054 | add r22=r22,r21 };; | ||
1055 | { .mfb; getf.sig r25=f103 } | ||
1056 | { .mii; (p7) add carry3=1,carry3 | ||
1057 | cmp.ltu p7,p0=r22,r21 | ||
1058 | add r23=r23,r22 };; | ||
1059 | { .mfb; getf.sig r26=f94 } | ||
1060 | { .mii; (p7) add carry3=1,carry3 | ||
1061 | cmp.ltu p7,p0=r23,r22 | ||
1062 | add r23=r23,carry1 };; | ||
1063 | { .mfb; getf.sig r27=f85 } | ||
1064 | { .mii; (p7) add carry3=1,carry3 | ||
1065 | cmp.ltu p7,p8=r23,carry1};; | ||
1066 | { .mii; getf.sig r28=f76 | ||
1067 | add r25=r25,r24 | ||
1068 | mov carry1=0 } | ||
1069 | { .mii; st8 [r32]=r23,16 | ||
1070 | (p7) add carry2=1,carry3 | ||
1071 | (p8) add carry2=0,carry3 };; | ||
1072 | |||
1073 | { .mfb; nop.m 0x0 } | ||
1074 | { .mii; getf.sig r29=f67 | ||
1075 | cmp.ltu p6,p0=r25,r24 | ||
1076 | add r26=r26,r25 };; | ||
1077 | { .mfb; getf.sig r30=f58 } | ||
1078 | { .mii; | ||
1079 | (p6) add carry1=1,carry1 | ||
1080 | cmp.ltu p6,p0=r26,r25 | ||
1081 | add r27=r27,r26 };; | ||
1082 | { .mfb; getf.sig r16=f113 } | ||
1083 | { .mii; | ||
1084 | (p6) add carry1=1,carry1 | ||
1085 | cmp.ltu p6,p0=r27,r26 | ||
1086 | add r28=r28,r27 };; | ||
1087 | { .mfb; getf.sig r17=f104 } | ||
1088 | { .mii; | ||
1089 | (p6) add carry1=1,carry1 | ||
1090 | cmp.ltu p6,p0=r28,r27 | ||
1091 | add r29=r29,r28 };; | ||
1092 | { .mfb; getf.sig r18=f95 } | ||
1093 | { .mii; | ||
1094 | (p6) add carry1=1,carry1 | ||
1095 | cmp.ltu p6,p0=r29,r28 | ||
1096 | add r30=r30,r29 };; | ||
1097 | { .mii; getf.sig r19=f86 | ||
1098 | add r17=r17,r16 | ||
1099 | mov carry3=0 } | ||
1100 | { .mii; | ||
1101 | (p6) add carry1=1,carry1 | ||
1102 | cmp.ltu p6,p0=r30,r29 | ||
1103 | add r30=r30,carry2 };; | ||
1104 | { .mii; getf.sig r20=f77 | ||
1105 | cmp.ltu p7,p0=r17,r16 | ||
1106 | add r18=r18,r17 } | ||
1107 | { .mii; | ||
1108 | (p6) add carry1=1,carry1 | ||
1109 | cmp.ltu p6,p0=r30,carry2 };; | ||
1110 | { .mfb; getf.sig r21=f68 } | ||
1111 | { .mii; st8 [r33]=r30,16 | ||
1112 | (p6) add carry1=1,carry1 };; | ||
1113 | |||
1114 | { .mfb; getf.sig r24=f114 } | ||
1115 | { .mii; (p7) add carry3=1,carry3 | ||
1116 | cmp.ltu p7,p0=r18,r17 | ||
1117 | add r19=r19,r18 };; | ||
1118 | { .mfb; getf.sig r25=f105 } | ||
1119 | { .mii; (p7) add carry3=1,carry3 | ||
1120 | cmp.ltu p7,p0=r19,r18 | ||
1121 | add r20=r20,r19 };; | ||
1122 | { .mfb; getf.sig r26=f96 } | ||
1123 | { .mii; (p7) add carry3=1,carry3 | ||
1124 | cmp.ltu p7,p0=r20,r19 | ||
1125 | add r21=r21,r20 };; | ||
1126 | { .mfb; getf.sig r27=f87 } | ||
1127 | { .mii; (p7) add carry3=1,carry3 | ||
1128 | cmp.ltu p7,p0=r21,r20 | ||
1129 | add r21=r21,carry1 };; | ||
1130 | { .mib; getf.sig r28=f78 | ||
1131 | add r25=r25,r24 } | ||
1132 | { .mib; (p7) add carry3=1,carry3 | ||
1133 | cmp.ltu p7,p8=r21,carry1};; | ||
1134 | { .mii; st8 [r32]=r21,16 | ||
1135 | (p7) add carry2=1,carry3 | ||
1136 | (p8) add carry2=0,carry3 } | ||
1137 | |||
1138 | { .mii; mov carry1=0 | ||
1139 | cmp.ltu p6,p0=r25,r24 | ||
1140 | add r26=r26,r25 };; | ||
1141 | { .mfb; getf.sig r16=f115 } | ||
1142 | { .mii; | ||
1143 | (p6) add carry1=1,carry1 | ||
1144 | cmp.ltu p6,p0=r26,r25 | ||
1145 | add r27=r27,r26 };; | ||
1146 | { .mfb; getf.sig r17=f106 } | ||
1147 | { .mii; | ||
1148 | (p6) add carry1=1,carry1 | ||
1149 | cmp.ltu p6,p0=r27,r26 | ||
1150 | add r28=r28,r27 };; | ||
1151 | { .mfb; getf.sig r18=f97 } | ||
1152 | { .mii; | ||
1153 | (p6) add carry1=1,carry1 | ||
1154 | cmp.ltu p6,p0=r28,r27 | ||
1155 | add r28=r28,carry2 };; | ||
1156 | { .mib; getf.sig r19=f88 | ||
1157 | add r17=r17,r16 } | ||
1158 | { .mib; | ||
1159 | (p6) add carry1=1,carry1 | ||
1160 | cmp.ltu p6,p0=r28,carry2 };; | ||
1161 | { .mii; st8 [r33]=r28,16 | ||
1162 | (p6) add carry1=1,carry1 } | ||
1163 | |||
1164 | { .mii; mov carry2=0 | ||
1165 | cmp.ltu p7,p0=r17,r16 | ||
1166 | add r18=r18,r17 };; | ||
1167 | { .mfb; getf.sig r24=f116 } | ||
1168 | { .mii; (p7) add carry2=1,carry2 | ||
1169 | cmp.ltu p7,p0=r18,r17 | ||
1170 | add r19=r19,r18 };; | ||
1171 | { .mfb; getf.sig r25=f107 } | ||
1172 | { .mii; (p7) add carry2=1,carry2 | ||
1173 | cmp.ltu p7,p0=r19,r18 | ||
1174 | add r19=r19,carry1 };; | ||
1175 | { .mfb; getf.sig r26=f98 } | ||
1176 | { .mii; (p7) add carry2=1,carry2 | ||
1177 | cmp.ltu p7,p0=r19,carry1};; | ||
1178 | { .mii; st8 [r32]=r19,16 | ||
1179 | (p7) add carry2=1,carry2 } | ||
1180 | |||
1181 | { .mfb; add r25=r25,r24 };; | ||
1182 | |||
1183 | { .mfb; getf.sig r16=f117 } | ||
1184 | { .mii; mov carry1=0 | ||
1185 | cmp.ltu p6,p0=r25,r24 | ||
1186 | add r26=r26,r25 };; | ||
1187 | { .mfb; getf.sig r17=f108 } | ||
1188 | { .mii; | ||
1189 | (p6) add carry1=1,carry1 | ||
1190 | cmp.ltu p6,p0=r26,r25 | ||
1191 | add r26=r26,carry2 };; | ||
1192 | { .mfb; nop.m 0x0 } | ||
1193 | { .mii; | ||
1194 | (p6) add carry1=1,carry1 | ||
1195 | cmp.ltu p6,p0=r26,carry2 };; | ||
1196 | { .mii; st8 [r33]=r26,16 | ||
1197 | (p6) add carry1=1,carry1 } | ||
1198 | |||
1199 | { .mfb; add r17=r17,r16 };; | ||
1200 | { .mfb; getf.sig r24=f118 } | ||
1201 | { .mii; mov carry2=0 | ||
1202 | cmp.ltu p7,p0=r17,r16 | ||
1203 | add r17=r17,carry1 };; | ||
1204 | { .mii; (p7) add carry2=1,carry2 | ||
1205 | cmp.ltu p7,p0=r17,carry1};; | ||
1206 | { .mii; st8 [r32]=r17 | ||
1207 | (p7) add carry2=1,carry2 };; | ||
1208 | { .mfb; add r24=r24,carry2 };; | ||
1209 | { .mib; st8 [r33]=r24 } | ||
1210 | |||
1211 | { .mib; rum 1<<5 // clear um.mfh | ||
1212 | br.ret.sptk.many b0 };; | ||
1213 | .endp bn_mul_comba8# | ||
1214 | #undef carry3 | ||
1215 | #undef carry2 | ||
1216 | #undef carry1 | ||
1217 | #endif | ||
1218 | |||
1219 | #if 1 | ||
1220 | // It's possible to make it faster (see comment to bn_sqr_comba8), but | ||
1221 | // I reckon it doesn't worth the effort. Basically because the routine | ||
1222 | // (actually both of them) practically never called... So I just play | ||
1223 | // same trick as with bn_sqr_comba8. | ||
1224 | // | ||
1225 | // void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a) | ||
1226 | // | ||
1227 | .global bn_sqr_comba4# | ||
1228 | .proc bn_sqr_comba4# | ||
1229 | .align 64 | ||
1230 | bn_sqr_comba4: | ||
1231 | .prologue | ||
1232 | .fframe 0 | ||
1233 | .save ar.pfs,r2 | ||
1234 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
1235 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
1236 | addp4 r32=0,r32 | ||
1237 | addp4 r33=0,r33 };; | ||
1238 | { .mii; | ||
1239 | #else | ||
1240 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
1241 | #endif | ||
1242 | mov r34=r33 | ||
1243 | add r14=8,r33 };; | ||
1244 | .body | ||
1245 | { .mii; add r17=8,r34 | ||
1246 | add r15=16,r33 | ||
1247 | add r18=16,r34 } | ||
1248 | { .mfb; add r16=24,r33 | ||
1249 | br .L_cheat_entry_point4 };; | ||
1250 | .endp bn_sqr_comba4# | ||
1251 | #endif | ||
1252 | |||
1253 | #if 1 | ||
1254 | // Runs in ~115 cycles and ~4.5 times faster than C. Well, whatever... | ||
1255 | // | ||
1256 | // void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) | ||
1257 | // | ||
1258 | #define carry1 r14 | ||
1259 | #define carry2 r15 | ||
1260 | .global bn_mul_comba4# | ||
1261 | .proc bn_mul_comba4# | ||
1262 | .align 64 | ||
1263 | bn_mul_comba4: | ||
1264 | .prologue | ||
1265 | .fframe 0 | ||
1266 | .save ar.pfs,r2 | ||
1267 | #if defined(_HPUX_SOURCE) && defined(_ILP32) | ||
1268 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
1269 | addp4 r33=0,r33 | ||
1270 | addp4 r34=0,r34 };; | ||
1271 | { .mii; addp4 r32=0,r32 | ||
1272 | #else | ||
1273 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
1274 | #endif | ||
1275 | add r14=8,r33 | ||
1276 | add r17=8,r34 } | ||
1277 | .body | ||
1278 | { .mii; add r15=16,r33 | ||
1279 | add r18=16,r34 | ||
1280 | add r16=24,r33 };; | ||
1281 | .L_cheat_entry_point4: | ||
1282 | { .mmi; add r19=24,r34 | ||
1283 | |||
1284 | ldf8 f32=[r33] } | ||
1285 | |||
1286 | { .mmi; ldf8 f120=[r34] | ||
1287 | ldf8 f121=[r17] };; | ||
1288 | { .mmi; ldf8 f122=[r18] | ||
1289 | ldf8 f123=[r19] } | ||
1290 | |||
1291 | { .mmi; ldf8 f33=[r14] | ||
1292 | ldf8 f34=[r15] } | ||
1293 | { .mfi; ldf8 f35=[r16] | ||
1294 | |||
1295 | xma.hu f41=f32,f120,f0 } | ||
1296 | { .mfi; xma.lu f40=f32,f120,f0 };; | ||
1297 | { .mfi; xma.hu f51=f32,f121,f0 } | ||
1298 | { .mfi; xma.lu f50=f32,f121,f0 };; | ||
1299 | { .mfi; xma.hu f61=f32,f122,f0 } | ||
1300 | { .mfi; xma.lu f60=f32,f122,f0 };; | ||
1301 | { .mfi; xma.hu f71=f32,f123,f0 } | ||
1302 | { .mfi; xma.lu f70=f32,f123,f0 };;// | ||
1303 | // Major stall takes place here, and 3 more places below. Result from | ||
1304 | // first xma is not available for another 3 ticks. | ||
1305 | { .mfi; getf.sig r16=f40 | ||
1306 | xma.hu f42=f33,f120,f41 | ||
1307 | add r33=8,r32 } | ||
1308 | { .mfi; xma.lu f41=f33,f120,f41 };; | ||
1309 | { .mfi; getf.sig r24=f50 | ||
1310 | xma.hu f52=f33,f121,f51 } | ||
1311 | { .mfi; xma.lu f51=f33,f121,f51 };; | ||
1312 | { .mfi; st8 [r32]=r16,16 | ||
1313 | xma.hu f62=f33,f122,f61 } | ||
1314 | { .mfi; xma.lu f61=f33,f122,f61 };; | ||
1315 | { .mfi; xma.hu f72=f33,f123,f71 } | ||
1316 | { .mfi; xma.lu f71=f33,f123,f71 };;// | ||
1317 | //-------------------------------------------------// | ||
1318 | { .mfi; getf.sig r25=f41 | ||
1319 | xma.hu f43=f34,f120,f42 } | ||
1320 | { .mfi; xma.lu f42=f34,f120,f42 };; | ||
1321 | { .mfi; getf.sig r16=f60 | ||
1322 | xma.hu f53=f34,f121,f52 } | ||
1323 | { .mfi; xma.lu f52=f34,f121,f52 };; | ||
1324 | { .mfi; getf.sig r17=f51 | ||
1325 | xma.hu f63=f34,f122,f62 | ||
1326 | add r25=r25,r24 } | ||
1327 | { .mfi; mov carry1=0 | ||
1328 | xma.lu f62=f34,f122,f62 };; | ||
1329 | { .mfi; st8 [r33]=r25,16 | ||
1330 | xma.hu f73=f34,f123,f72 | ||
1331 | cmp.ltu p6,p0=r25,r24 } | ||
1332 | { .mfi; xma.lu f72=f34,f123,f72 };;// | ||
1333 | //-------------------------------------------------// | ||
1334 | { .mfi; getf.sig r18=f42 | ||
1335 | xma.hu f44=f35,f120,f43 | ||
1336 | (p6) add carry1=1,carry1 } | ||
1337 | { .mfi; add r17=r17,r16 | ||
1338 | xma.lu f43=f35,f120,f43 | ||
1339 | mov carry2=0 };; | ||
1340 | { .mfi; getf.sig r24=f70 | ||
1341 | xma.hu f54=f35,f121,f53 | ||
1342 | cmp.ltu p7,p0=r17,r16 } | ||
1343 | { .mfi; xma.lu f53=f35,f121,f53 };; | ||
1344 | { .mfi; getf.sig r25=f61 | ||
1345 | xma.hu f64=f35,f122,f63 | ||
1346 | add r18=r18,r17 } | ||
1347 | { .mfi; xma.lu f63=f35,f122,f63 | ||
1348 | (p7) add carry2=1,carry2 };; | ||
1349 | { .mfi; getf.sig r26=f52 | ||
1350 | xma.hu f74=f35,f123,f73 | ||
1351 | cmp.ltu p7,p0=r18,r17 } | ||
1352 | { .mfi; xma.lu f73=f35,f123,f73 | ||
1353 | add r18=r18,carry1 };; | ||
1354 | //-------------------------------------------------// | ||
1355 | { .mii; st8 [r32]=r18,16 | ||
1356 | (p7) add carry2=1,carry2 | ||
1357 | cmp.ltu p7,p0=r18,carry1 };; | ||
1358 | |||
1359 | { .mfi; getf.sig r27=f43 // last major stall | ||
1360 | (p7) add carry2=1,carry2 };; | ||
1361 | { .mii; getf.sig r16=f71 | ||
1362 | add r25=r25,r24 | ||
1363 | mov carry1=0 };; | ||
1364 | { .mii; getf.sig r17=f62 | ||
1365 | cmp.ltu p6,p0=r25,r24 | ||
1366 | add r26=r26,r25 };; | ||
1367 | { .mii; | ||
1368 | (p6) add carry1=1,carry1 | ||
1369 | cmp.ltu p6,p0=r26,r25 | ||
1370 | add r27=r27,r26 };; | ||
1371 | { .mii; | ||
1372 | (p6) add carry1=1,carry1 | ||
1373 | cmp.ltu p6,p0=r27,r26 | ||
1374 | add r27=r27,carry2 };; | ||
1375 | { .mii; getf.sig r18=f53 | ||
1376 | (p6) add carry1=1,carry1 | ||
1377 | cmp.ltu p6,p0=r27,carry2 };; | ||
1378 | { .mfi; st8 [r33]=r27,16 | ||
1379 | (p6) add carry1=1,carry1 } | ||
1380 | |||
1381 | { .mii; getf.sig r19=f44 | ||
1382 | add r17=r17,r16 | ||
1383 | mov carry2=0 };; | ||
1384 | { .mii; getf.sig r24=f72 | ||
1385 | cmp.ltu p7,p0=r17,r16 | ||
1386 | add r18=r18,r17 };; | ||
1387 | { .mii; (p7) add carry2=1,carry2 | ||
1388 | cmp.ltu p7,p0=r18,r17 | ||
1389 | add r19=r19,r18 };; | ||
1390 | { .mii; (p7) add carry2=1,carry2 | ||
1391 | cmp.ltu p7,p0=r19,r18 | ||
1392 | add r19=r19,carry1 };; | ||
1393 | { .mii; getf.sig r25=f63 | ||
1394 | (p7) add carry2=1,carry2 | ||
1395 | cmp.ltu p7,p0=r19,carry1};; | ||
1396 | { .mii; st8 [r32]=r19,16 | ||
1397 | (p7) add carry2=1,carry2 } | ||
1398 | |||
1399 | { .mii; getf.sig r26=f54 | ||
1400 | add r25=r25,r24 | ||
1401 | mov carry1=0 };; | ||
1402 | { .mii; getf.sig r16=f73 | ||
1403 | cmp.ltu p6,p0=r25,r24 | ||
1404 | add r26=r26,r25 };; | ||
1405 | { .mii; | ||
1406 | (p6) add carry1=1,carry1 | ||
1407 | cmp.ltu p6,p0=r26,r25 | ||
1408 | add r26=r26,carry2 };; | ||
1409 | { .mii; getf.sig r17=f64 | ||
1410 | (p6) add carry1=1,carry1 | ||
1411 | cmp.ltu p6,p0=r26,carry2 };; | ||
1412 | { .mii; st8 [r33]=r26,16 | ||
1413 | (p6) add carry1=1,carry1 } | ||
1414 | |||
1415 | { .mii; getf.sig r24=f74 | ||
1416 | add r17=r17,r16 | ||
1417 | mov carry2=0 };; | ||
1418 | { .mii; cmp.ltu p7,p0=r17,r16 | ||
1419 | add r17=r17,carry1 };; | ||
1420 | |||
1421 | { .mii; (p7) add carry2=1,carry2 | ||
1422 | cmp.ltu p7,p0=r17,carry1};; | ||
1423 | { .mii; st8 [r32]=r17,16 | ||
1424 | (p7) add carry2=1,carry2 };; | ||
1425 | |||
1426 | { .mii; add r24=r24,carry2 };; | ||
1427 | { .mii; st8 [r33]=r24 } | ||
1428 | |||
1429 | { .mib; rum 1<<5 // clear um.mfh | ||
1430 | br.ret.sptk.many b0 };; | ||
1431 | .endp bn_mul_comba4# | ||
1432 | #undef carry2 | ||
1433 | #undef carry1 | ||
1434 | #endif | ||
1435 | |||
1436 | #if 1 | ||
1437 | // | ||
1438 | // BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d) | ||
1439 | // | ||
1440 | // In the nutshell it's a port of my MIPS III/IV implementation. | ||
1441 | // | ||
1442 | #define AT r14 | ||
1443 | #define H r16 | ||
1444 | #define HH r20 | ||
1445 | #define L r17 | ||
1446 | #define D r18 | ||
1447 | #define DH r22 | ||
1448 | #define I r21 | ||
1449 | |||
1450 | #if 0 | ||
1451 | // Some preprocessors (most notably HP-UX) apper to be allergic to | ||
1452 | // macros enclosed to parenthesis as these three will be. | ||
1453 | #define cont p16 | ||
1454 | #define break p0 // p20 | ||
1455 | #define equ p24 | ||
1456 | #else | ||
1457 | cont=p16 | ||
1458 | break=p0 | ||
1459 | equ=p24 | ||
1460 | #endif | ||
1461 | |||
1462 | .global abort# | ||
1463 | .global bn_div_words# | ||
1464 | .proc bn_div_words# | ||
1465 | .align 64 | ||
1466 | bn_div_words: | ||
1467 | .prologue | ||
1468 | .fframe 0 | ||
1469 | .save ar.pfs,r2 | ||
1470 | .save b0,r3 | ||
1471 | { .mii; alloc r2=ar.pfs,3,5,0,8 | ||
1472 | mov r3=b0 | ||
1473 | mov r10=pr };; | ||
1474 | { .mmb; cmp.eq p6,p0=r34,r0 | ||
1475 | mov r8=-1 | ||
1476 | (p6) br.ret.spnt.many b0 };; | ||
1477 | |||
1478 | .body | ||
1479 | { .mii; mov H=r32 // save h | ||
1480 | mov ar.ec=0 // don't rotate at exit | ||
1481 | mov pr.rot=0 } | ||
1482 | { .mii; mov L=r33 // save l | ||
1483 | mov r36=r0 };; | ||
1484 | |||
1485 | .L_divw_shift: // -vv- note signed comparison | ||
1486 | { .mfi; (p0) cmp.lt p16,p0=r0,r34 // d | ||
1487 | (p0) shladd r33=r34,1,r0 } | ||
1488 | { .mfb; (p0) add r35=1,r36 | ||
1489 | (p0) nop.f 0x0 | ||
1490 | (p16) br.wtop.dpnt .L_divw_shift };; | ||
1491 | |||
1492 | { .mii; mov D=r34 | ||
1493 | shr.u DH=r34,32 | ||
1494 | sub r35=64,r36 };; | ||
1495 | { .mii; setf.sig f7=DH | ||
1496 | shr.u AT=H,r35 | ||
1497 | mov I=r36 };; | ||
1498 | { .mib; cmp.ne p6,p0=r0,AT | ||
1499 | shl H=H,r36 | ||
1500 | (p6) br.call.spnt.clr b0=abort };; // overflow, die... | ||
1501 | |||
1502 | { .mfi; fcvt.xuf.s1 f7=f7 | ||
1503 | shr.u AT=L,r35 };; | ||
1504 | { .mii; shl L=L,r36 | ||
1505 | or H=H,AT };; | ||
1506 | |||
1507 | { .mii; nop.m 0x0 | ||
1508 | cmp.leu p6,p0=D,H;; | ||
1509 | (p6) sub H=H,D } | ||
1510 | |||
1511 | { .mlx; setf.sig f14=D | ||
1512 | movl AT=0xffffffff };; | ||
1513 | /////////////////////////////////////////////////////////// | ||
1514 | { .mii; setf.sig f6=H | ||
1515 | shr.u HH=H,32;; | ||
1516 | cmp.eq p6,p7=HH,DH };; | ||
1517 | { .mfb; | ||
1518 | (p6) setf.sig f8=AT | ||
1519 | (p7) fcvt.xuf.s1 f6=f6 | ||
1520 | (p7) br.call.sptk b6=.L_udiv64_32_b6 };; | ||
1521 | |||
1522 | { .mfi; getf.sig r33=f8 // q | ||
1523 | xmpy.lu f9=f8,f14 } | ||
1524 | { .mfi; xmpy.hu f10=f8,f14 | ||
1525 | shrp H=H,L,32 };; | ||
1526 | |||
1527 | { .mmi; getf.sig r35=f9 // tl | ||
1528 | getf.sig r31=f10 };; // th | ||
1529 | |||
1530 | .L_divw_1st_iter: | ||
1531 | { .mii; (p0) add r32=-1,r33 | ||
1532 | (p0) cmp.eq equ,cont=HH,r31 };; | ||
1533 | { .mii; (p0) cmp.ltu p8,p0=r35,D | ||
1534 | (p0) sub r34=r35,D | ||
1535 | (equ) cmp.leu break,cont=r35,H };; | ||
1536 | { .mib; (cont) cmp.leu cont,break=HH,r31 | ||
1537 | (p8) add r31=-1,r31 | ||
1538 | (cont) br.wtop.spnt .L_divw_1st_iter };; | ||
1539 | /////////////////////////////////////////////////////////// | ||
1540 | { .mii; sub H=H,r35 | ||
1541 | shl r8=r33,32 | ||
1542 | shl L=L,32 };; | ||
1543 | /////////////////////////////////////////////////////////// | ||
1544 | { .mii; setf.sig f6=H | ||
1545 | shr.u HH=H,32;; | ||
1546 | cmp.eq p6,p7=HH,DH };; | ||
1547 | { .mfb; | ||
1548 | (p6) setf.sig f8=AT | ||
1549 | (p7) fcvt.xuf.s1 f6=f6 | ||
1550 | (p7) br.call.sptk b6=.L_udiv64_32_b6 };; | ||
1551 | |||
1552 | { .mfi; getf.sig r33=f8 // q | ||
1553 | xmpy.lu f9=f8,f14 } | ||
1554 | { .mfi; xmpy.hu f10=f8,f14 | ||
1555 | shrp H=H,L,32 };; | ||
1556 | |||
1557 | { .mmi; getf.sig r35=f9 // tl | ||
1558 | getf.sig r31=f10 };; // th | ||
1559 | |||
1560 | .L_divw_2nd_iter: | ||
1561 | { .mii; (p0) add r32=-1,r33 | ||
1562 | (p0) cmp.eq equ,cont=HH,r31 };; | ||
1563 | { .mii; (p0) cmp.ltu p8,p0=r35,D | ||
1564 | (p0) sub r34=r35,D | ||
1565 | (equ) cmp.leu break,cont=r35,H };; | ||
1566 | { .mib; (cont) cmp.leu cont,break=HH,r31 | ||
1567 | (p8) add r31=-1,r31 | ||
1568 | (cont) br.wtop.spnt .L_divw_2nd_iter };; | ||
1569 | /////////////////////////////////////////////////////////// | ||
1570 | { .mii; sub H=H,r35 | ||
1571 | or r8=r8,r33 | ||
1572 | mov ar.pfs=r2 };; | ||
1573 | { .mii; shr.u r9=H,I // remainder if anybody wants it | ||
1574 | mov pr=r10,0x1ffff } | ||
1575 | { .mfb; br.ret.sptk.many b0 };; | ||
1576 | |||
1577 | // Unsigned 64 by 32 (well, by 64 for the moment) bit integer division | ||
1578 | // procedure. | ||
1579 | // | ||
1580 | // inputs: f6 = (double)a, f7 = (double)b | ||
1581 | // output: f8 = (int)(a/b) | ||
1582 | // clobbered: f8,f9,f10,f11,pred | ||
1583 | pred=p15 | ||
1584 | // This procedure is essentially Intel code and therefore is | ||
1585 | // copyrighted to Intel Corporation (I suppose...). It's sligtly | ||
1586 | // modified for specific needs. | ||
1587 | .align 32 | ||
1588 | .skip 16 | ||
1589 | .L_udiv64_32_b6: | ||
1590 | frcpa.s1 f8,pred=f6,f7;; // [0] y0 = 1 / b | ||
1591 | |||
1592 | (pred) fnma.s1 f9=f7,f8,f1 // [5] e0 = 1 - b * y0 | ||
1593 | (pred) fmpy.s1 f10=f6,f8;; // [5] q0 = a * y0 | ||
1594 | (pred) fmpy.s1 f11=f9,f9 // [10] e1 = e0 * e0 | ||
1595 | (pred) fma.s1 f10=f9,f10,f10;; // [10] q1 = q0 + e0 * q0 | ||
1596 | (pred) fma.s1 f8=f9,f8,f8 //;; // [15] y1 = y0 + e0 * y0 | ||
1597 | (pred) fma.s1 f9=f11,f10,f10;; // [15] q2 = q1 + e1 * q1 | ||
1598 | (pred) fma.s1 f8=f11,f8,f8 //;; // [20] y2 = y1 + e1 * y1 | ||
1599 | (pred) fnma.s1 f10=f7,f9,f6;; // [20] r2 = a - b * q2 | ||
1600 | (pred) fma.s1 f8=f10,f8,f9;; // [25] q3 = q2 + r2 * y2 | ||
1601 | |||
1602 | fcvt.fxu.trunc.s1 f8=f8 // [30] q = trunc(q3) | ||
1603 | br.ret.sptk.many b6;; | ||
1604 | .endp bn_div_words# | ||
1605 | #endif | ||