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1 | .explicit | ||
2 | .text | ||
3 | .ident "ia64.S, Version 2.1" | ||
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 (as they were), 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 defined(_HPUX_SOURCE) && !defined(_LP64) | ||
149 | #define ADDP addp4 | ||
150 | #else | ||
151 | #define ADDP add | ||
152 | #endif | ||
153 | |||
154 | #if 1 | ||
155 | // | ||
156 | // bn_[add|sub]_words routines. | ||
157 | // | ||
158 | // Loops are spinning in 2*(n+5) ticks on Itanuim (provided that the | ||
159 | // data reside in L1 cache, i.e. 2 ticks away). It's possible to | ||
160 | // compress the epilogue and get down to 2*n+6, but at the cost of | ||
161 | // scalability (the neat feature of this implementation is that it | ||
162 | // shall automagically spin in n+5 on "wider" IA-64 implementations:-) | ||
163 | // I consider that the epilogue is short enough as it is to trade tiny | ||
164 | // performance loss on Itanium for scalability. | ||
165 | // | ||
166 | // BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num) | ||
167 | // | ||
168 | .global bn_add_words# | ||
169 | .proc bn_add_words# | ||
170 | .align 64 | ||
171 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
172 | bn_add_words: | ||
173 | .prologue | ||
174 | .fframe 0 | ||
175 | .save ar.pfs,r2 | ||
176 | { .mii; alloc r2=ar.pfs,4,12,0,16 | ||
177 | cmp4.le p6,p0=r35,r0 };; | ||
178 | { .mfb; mov r8=r0 // return value | ||
179 | (p6) br.ret.spnt.many b0 };; | ||
180 | |||
181 | .save ar.lc,r3 | ||
182 | { .mib; sub r10=r35,r0,1 | ||
183 | mov r3=ar.lc | ||
184 | brp.loop.imp .L_bn_add_words_ctop,.L_bn_add_words_cend-16 | ||
185 | } | ||
186 | .body | ||
187 | { .mib; ADDP r14=0,r32 // rp | ||
188 | mov r9=pr };; | ||
189 | { .mii; ADDP r15=0,r33 // ap | ||
190 | mov ar.lc=r10 | ||
191 | mov ar.ec=6 } | ||
192 | { .mib; ADDP r16=0,r34 // bp | ||
193 | mov pr.rot=1<<16 };; | ||
194 | |||
195 | .L_bn_add_words_ctop: | ||
196 | { .mii; (p16) ld8 r32=[r16],8 // b=*(bp++) | ||
197 | (p18) add r39=r37,r34 | ||
198 | (p19) cmp.ltu.unc p56,p0=r40,r38 } | ||
199 | { .mfb; (p0) nop.m 0x0 | ||
200 | (p0) nop.f 0x0 | ||
201 | (p0) nop.b 0x0 } | ||
202 | { .mii; (p16) ld8 r35=[r15],8 // a=*(ap++) | ||
203 | (p58) cmp.eq.or p57,p0=-1,r41 // (p20) | ||
204 | (p58) add r41=1,r41 } // (p20) | ||
205 | { .mfb; (p21) st8 [r14]=r42,8 // *(rp++)=r | ||
206 | (p0) nop.f 0x0 | ||
207 | br.ctop.sptk .L_bn_add_words_ctop };; | ||
208 | .L_bn_add_words_cend: | ||
209 | |||
210 | { .mii; | ||
211 | (p59) add r8=1,r8 // return value | ||
212 | mov pr=r9,0x1ffff | ||
213 | mov ar.lc=r3 } | ||
214 | { .mbb; nop.b 0x0 | ||
215 | br.ret.sptk.many b0 };; | ||
216 | .endp bn_add_words# | ||
217 | |||
218 | // | ||
219 | // BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num) | ||
220 | // | ||
221 | .global bn_sub_words# | ||
222 | .proc bn_sub_words# | ||
223 | .align 64 | ||
224 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
225 | bn_sub_words: | ||
226 | .prologue | ||
227 | .fframe 0 | ||
228 | .save ar.pfs,r2 | ||
229 | { .mii; alloc r2=ar.pfs,4,12,0,16 | ||
230 | cmp4.le p6,p0=r35,r0 };; | ||
231 | { .mfb; mov r8=r0 // return value | ||
232 | (p6) br.ret.spnt.many b0 };; | ||
233 | |||
234 | .save ar.lc,r3 | ||
235 | { .mib; sub r10=r35,r0,1 | ||
236 | mov r3=ar.lc | ||
237 | brp.loop.imp .L_bn_sub_words_ctop,.L_bn_sub_words_cend-16 | ||
238 | } | ||
239 | .body | ||
240 | { .mib; ADDP r14=0,r32 // rp | ||
241 | mov r9=pr };; | ||
242 | { .mii; ADDP r15=0,r33 // ap | ||
243 | mov ar.lc=r10 | ||
244 | mov ar.ec=6 } | ||
245 | { .mib; ADDP r16=0,r34 // bp | ||
246 | mov pr.rot=1<<16 };; | ||
247 | |||
248 | .L_bn_sub_words_ctop: | ||
249 | { .mii; (p16) ld8 r32=[r16],8 // b=*(bp++) | ||
250 | (p18) sub r39=r37,r34 | ||
251 | (p19) cmp.gtu.unc p56,p0=r40,r38 } | ||
252 | { .mfb; (p0) nop.m 0x0 | ||
253 | (p0) nop.f 0x0 | ||
254 | (p0) nop.b 0x0 } | ||
255 | { .mii; (p16) ld8 r35=[r15],8 // a=*(ap++) | ||
256 | (p58) cmp.eq.or p57,p0=0,r41 // (p20) | ||
257 | (p58) add r41=-1,r41 } // (p20) | ||
258 | { .mbb; (p21) st8 [r14]=r42,8 // *(rp++)=r | ||
259 | (p0) nop.b 0x0 | ||
260 | br.ctop.sptk .L_bn_sub_words_ctop };; | ||
261 | .L_bn_sub_words_cend: | ||
262 | |||
263 | { .mii; | ||
264 | (p59) add r8=1,r8 // return value | ||
265 | mov pr=r9,0x1ffff | ||
266 | mov ar.lc=r3 } | ||
267 | { .mbb; nop.b 0x0 | ||
268 | br.ret.sptk.many b0 };; | ||
269 | .endp bn_sub_words# | ||
270 | #endif | ||
271 | |||
272 | #if 0 | ||
273 | #define XMA_TEMPTATION | ||
274 | #endif | ||
275 | |||
276 | #if 1 | ||
277 | // | ||
278 | // BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) | ||
279 | // | ||
280 | .global bn_mul_words# | ||
281 | .proc bn_mul_words# | ||
282 | .align 64 | ||
283 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
284 | bn_mul_words: | ||
285 | .prologue | ||
286 | .fframe 0 | ||
287 | .save ar.pfs,r2 | ||
288 | #ifdef XMA_TEMPTATION | ||
289 | { .mfi; alloc r2=ar.pfs,4,0,0,0 };; | ||
290 | #else | ||
291 | { .mfi; alloc r2=ar.pfs,4,12,0,16 };; | ||
292 | #endif | ||
293 | { .mib; mov r8=r0 // return value | ||
294 | cmp4.le p6,p0=r34,r0 | ||
295 | (p6) br.ret.spnt.many b0 };; | ||
296 | |||
297 | .save ar.lc,r3 | ||
298 | { .mii; sub r10=r34,r0,1 | ||
299 | mov r3=ar.lc | ||
300 | mov r9=pr };; | ||
301 | |||
302 | .body | ||
303 | { .mib; setf.sig f8=r35 // w | ||
304 | mov pr.rot=0x800001<<16 | ||
305 | // ------^----- serves as (p50) at first (p27) | ||
306 | brp.loop.imp .L_bn_mul_words_ctop,.L_bn_mul_words_cend-16 | ||
307 | } | ||
308 | |||
309 | #ifndef XMA_TEMPTATION | ||
310 | |||
311 | { .mmi; ADDP r14=0,r32 // rp | ||
312 | ADDP r15=0,r33 // ap | ||
313 | mov ar.lc=r10 } | ||
314 | { .mmi; mov r40=0 // serves as r35 at first (p27) | ||
315 | mov ar.ec=13 };; | ||
316 | |||
317 | // This loop spins in 2*(n+12) ticks. It's scheduled for data in Itanium | ||
318 | // L2 cache (i.e. 9 ticks away) as floating point load/store instructions | ||
319 | // bypass L1 cache and L2 latency is actually best-case scenario for | ||
320 | // ldf8. The loop is not scalable and shall run in 2*(n+12) even on | ||
321 | // "wider" IA-64 implementations. It's a trade-off here. n+24 loop | ||
322 | // would give us ~5% in *overall* performance improvement on "wider" | ||
323 | // IA-64, but would hurt Itanium for about same because of longer | ||
324 | // epilogue. As it's a matter of few percents in either case I've | ||
325 | // chosen to trade the scalability for development time (you can see | ||
326 | // this very instruction sequence in bn_mul_add_words loop which in | ||
327 | // turn is scalable). | ||
328 | .L_bn_mul_words_ctop: | ||
329 | { .mfi; (p25) getf.sig r36=f52 // low | ||
330 | (p21) xmpy.lu f48=f37,f8 | ||
331 | (p28) cmp.ltu p54,p50=r41,r39 } | ||
332 | { .mfi; (p16) ldf8 f32=[r15],8 | ||
333 | (p21) xmpy.hu f40=f37,f8 | ||
334 | (p0) nop.i 0x0 };; | ||
335 | { .mii; (p25) getf.sig r32=f44 // high | ||
336 | .pred.rel "mutex",p50,p54 | ||
337 | (p50) add r40=r38,r35 // (p27) | ||
338 | (p54) add r40=r38,r35,1 } // (p27) | ||
339 | { .mfb; (p28) st8 [r14]=r41,8 | ||
340 | (p0) nop.f 0x0 | ||
341 | br.ctop.sptk .L_bn_mul_words_ctop };; | ||
342 | .L_bn_mul_words_cend: | ||
343 | |||
344 | { .mii; nop.m 0x0 | ||
345 | .pred.rel "mutex",p51,p55 | ||
346 | (p51) add r8=r36,r0 | ||
347 | (p55) add r8=r36,r0,1 } | ||
348 | { .mfb; nop.m 0x0 | ||
349 | nop.f 0x0 | ||
350 | nop.b 0x0 } | ||
351 | |||
352 | #else // XMA_TEMPTATION | ||
353 | |||
354 | setf.sig f37=r0 // serves as carry at (p18) tick | ||
355 | mov ar.lc=r10 | ||
356 | mov ar.ec=5;; | ||
357 | |||
358 | // Most of you examining this code very likely wonder why in the name | ||
359 | // of Intel the following loop is commented out? Indeed, it looks so | ||
360 | // neat that you find it hard to believe that it's something wrong | ||
361 | // with it, right? The catch is that every iteration depends on the | ||
362 | // result from previous one and the latter isn't available instantly. | ||
363 | // The loop therefore spins at the latency of xma minus 1, or in other | ||
364 | // words at 6*(n+4) ticks:-( Compare to the "production" loop above | ||
365 | // that runs in 2*(n+11) where the low latency problem is worked around | ||
366 | // by moving the dependency to one-tick latent interger ALU. Note that | ||
367 | // "distance" between ldf8 and xma is not latency of ldf8, but the | ||
368 | // *difference* between xma and ldf8 latencies. | ||
369 | .L_bn_mul_words_ctop: | ||
370 | { .mfi; (p16) ldf8 f32=[r33],8 | ||
371 | (p18) xma.hu f38=f34,f8,f39 } | ||
372 | { .mfb; (p20) stf8 [r32]=f37,8 | ||
373 | (p18) xma.lu f35=f34,f8,f39 | ||
374 | br.ctop.sptk .L_bn_mul_words_ctop };; | ||
375 | .L_bn_mul_words_cend: | ||
376 | |||
377 | getf.sig r8=f41 // the return value | ||
378 | |||
379 | #endif // XMA_TEMPTATION | ||
380 | |||
381 | { .mii; nop.m 0x0 | ||
382 | mov pr=r9,0x1ffff | ||
383 | mov ar.lc=r3 } | ||
384 | { .mfb; rum 1<<5 // clear um.mfh | ||
385 | nop.f 0x0 | ||
386 | br.ret.sptk.many b0 };; | ||
387 | .endp bn_mul_words# | ||
388 | #endif | ||
389 | |||
390 | #if 1 | ||
391 | // | ||
392 | // BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) | ||
393 | // | ||
394 | .global bn_mul_add_words# | ||
395 | .proc bn_mul_add_words# | ||
396 | .align 64 | ||
397 | .skip 48 // makes the loop body aligned at 64-byte boundary | ||
398 | bn_mul_add_words: | ||
399 | .prologue | ||
400 | .fframe 0 | ||
401 | .save ar.pfs,r2 | ||
402 | .save ar.lc,r3 | ||
403 | .save pr,r9 | ||
404 | { .mmi; alloc r2=ar.pfs,4,4,0,8 | ||
405 | cmp4.le p6,p0=r34,r0 | ||
406 | mov r3=ar.lc };; | ||
407 | { .mib; mov r8=r0 // return value | ||
408 | sub r10=r34,r0,1 | ||
409 | (p6) br.ret.spnt.many b0 };; | ||
410 | |||
411 | .body | ||
412 | { .mib; setf.sig f8=r35 // w | ||
413 | mov r9=pr | ||
414 | brp.loop.imp .L_bn_mul_add_words_ctop,.L_bn_mul_add_words_cend-16 | ||
415 | } | ||
416 | { .mmi; ADDP r14=0,r32 // rp | ||
417 | ADDP r15=0,r33 // ap | ||
418 | mov ar.lc=r10 } | ||
419 | { .mii; ADDP r16=0,r32 // rp copy | ||
420 | mov pr.rot=0x2001<<16 | ||
421 | // ------^----- serves as (p40) at first (p27) | ||
422 | mov ar.ec=11 };; | ||
423 | |||
424 | // This loop spins in 3*(n+10) ticks on Itanium and in 2*(n+10) on | ||
425 | // Itanium 2. Yes, unlike previous versions it scales:-) Previous | ||
426 | // version was peforming *all* additions in IALU and was starving | ||
427 | // for those even on Itanium 2. In this version one addition is | ||
428 | // moved to FPU and is folded with multiplication. This is at cost | ||
429 | // of propogating the result from previous call to this subroutine | ||
430 | // to L2 cache... In other words negligible even for shorter keys. | ||
431 | // *Overall* performance improvement [over previous version] varies | ||
432 | // from 11 to 22 percent depending on key length. | ||
433 | .L_bn_mul_add_words_ctop: | ||
434 | .pred.rel "mutex",p40,p42 | ||
435 | { .mfi; (p23) getf.sig r36=f45 // low | ||
436 | (p20) xma.lu f42=f36,f8,f50 // low | ||
437 | (p40) add r39=r39,r35 } // (p27) | ||
438 | { .mfi; (p16) ldf8 f32=[r15],8 // *(ap++) | ||
439 | (p20) xma.hu f36=f36,f8,f50 // high | ||
440 | (p42) add r39=r39,r35,1 };; // (p27) | ||
441 | { .mmi; (p24) getf.sig r32=f40 // high | ||
442 | (p16) ldf8 f46=[r16],8 // *(rp1++) | ||
443 | (p40) cmp.ltu p41,p39=r39,r35 } // (p27) | ||
444 | { .mib; (p26) st8 [r14]=r39,8 // *(rp2++) | ||
445 | (p42) cmp.leu p41,p39=r39,r35 // (p27) | ||
446 | br.ctop.sptk .L_bn_mul_add_words_ctop};; | ||
447 | .L_bn_mul_add_words_cend: | ||
448 | |||
449 | { .mmi; .pred.rel "mutex",p40,p42 | ||
450 | (p40) add r8=r35,r0 | ||
451 | (p42) add r8=r35,r0,1 | ||
452 | mov pr=r9,0x1ffff } | ||
453 | { .mib; rum 1<<5 // clear um.mfh | ||
454 | mov ar.lc=r3 | ||
455 | br.ret.sptk.many b0 };; | ||
456 | .endp bn_mul_add_words# | ||
457 | #endif | ||
458 | |||
459 | #if 1 | ||
460 | // | ||
461 | // void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num) | ||
462 | // | ||
463 | .global bn_sqr_words# | ||
464 | .proc bn_sqr_words# | ||
465 | .align 64 | ||
466 | .skip 32 // makes the loop body aligned at 64-byte boundary | ||
467 | bn_sqr_words: | ||
468 | .prologue | ||
469 | .fframe 0 | ||
470 | .save ar.pfs,r2 | ||
471 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
472 | sxt4 r34=r34 };; | ||
473 | { .mii; cmp.le p6,p0=r34,r0 | ||
474 | mov r8=r0 } // return value | ||
475 | { .mfb; ADDP r32=0,r32 | ||
476 | nop.f 0x0 | ||
477 | (p6) br.ret.spnt.many b0 };; | ||
478 | |||
479 | .save ar.lc,r3 | ||
480 | { .mii; sub r10=r34,r0,1 | ||
481 | mov r3=ar.lc | ||
482 | mov r9=pr };; | ||
483 | |||
484 | .body | ||
485 | { .mib; ADDP r33=0,r33 | ||
486 | mov pr.rot=1<<16 | ||
487 | brp.loop.imp .L_bn_sqr_words_ctop,.L_bn_sqr_words_cend-16 | ||
488 | } | ||
489 | { .mii; add r34=8,r32 | ||
490 | mov ar.lc=r10 | ||
491 | mov ar.ec=18 };; | ||
492 | |||
493 | // 2*(n+17) on Itanium, (n+17) on "wider" IA-64 implementations. It's | ||
494 | // possible to compress the epilogue (I'm getting tired to write this | ||
495 | // comment over and over) and get down to 2*n+16 at the cost of | ||
496 | // scalability. The decision will very likely be reconsidered after the | ||
497 | // benchmark program is profiled. I.e. if perfomance gain on Itanium | ||
498 | // will appear larger than loss on "wider" IA-64, then the loop should | ||
499 | // be explicitely split and the epilogue compressed. | ||
500 | .L_bn_sqr_words_ctop: | ||
501 | { .mfi; (p16) ldf8 f32=[r33],8 | ||
502 | (p25) xmpy.lu f42=f41,f41 | ||
503 | (p0) nop.i 0x0 } | ||
504 | { .mib; (p33) stf8 [r32]=f50,16 | ||
505 | (p0) nop.i 0x0 | ||
506 | (p0) nop.b 0x0 } | ||
507 | { .mfi; (p0) nop.m 0x0 | ||
508 | (p25) xmpy.hu f52=f41,f41 | ||
509 | (p0) nop.i 0x0 } | ||
510 | { .mib; (p33) stf8 [r34]=f60,16 | ||
511 | (p0) nop.i 0x0 | ||
512 | br.ctop.sptk .L_bn_sqr_words_ctop };; | ||
513 | .L_bn_sqr_words_cend: | ||
514 | |||
515 | { .mii; nop.m 0x0 | ||
516 | mov pr=r9,0x1ffff | ||
517 | mov ar.lc=r3 } | ||
518 | { .mfb; rum 1<<5 // clear um.mfh | ||
519 | nop.f 0x0 | ||
520 | br.ret.sptk.many b0 };; | ||
521 | .endp bn_sqr_words# | ||
522 | #endif | ||
523 | |||
524 | #if 1 | ||
525 | // Apparently we win nothing by implementing special bn_sqr_comba8. | ||
526 | // Yes, it is possible to reduce the number of multiplications by | ||
527 | // almost factor of two, but then the amount of additions would | ||
528 | // increase by factor of two (as we would have to perform those | ||
529 | // otherwise performed by xma ourselves). Normally we would trade | ||
530 | // anyway as multiplications are way more expensive, but not this | ||
531 | // time... Multiplication kernel is fully pipelined and as we drain | ||
532 | // one 128-bit multiplication result per clock cycle multiplications | ||
533 | // are effectively as inexpensive as additions. Special implementation | ||
534 | // might become of interest for "wider" IA-64 implementation as you'll | ||
535 | // be able to get through the multiplication phase faster (there won't | ||
536 | // be any stall issues as discussed in the commentary section below and | ||
537 | // you therefore will be able to employ all 4 FP units)... But these | ||
538 | // Itanium days it's simply too hard to justify the effort so I just | ||
539 | // drop down to bn_mul_comba8 code:-) | ||
540 | // | ||
541 | // void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a) | ||
542 | // | ||
543 | .global bn_sqr_comba8# | ||
544 | .proc bn_sqr_comba8# | ||
545 | .align 64 | ||
546 | bn_sqr_comba8: | ||
547 | .prologue | ||
548 | .fframe 0 | ||
549 | .save ar.pfs,r2 | ||
550 | #if defined(_HPUX_SOURCE) && !defined(_LP64) | ||
551 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
552 | addp4 r33=0,r33 | ||
553 | addp4 r32=0,r32 };; | ||
554 | { .mii; | ||
555 | #else | ||
556 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
557 | #endif | ||
558 | mov r34=r33 | ||
559 | add r14=8,r33 };; | ||
560 | .body | ||
561 | { .mii; add r17=8,r34 | ||
562 | add r15=16,r33 | ||
563 | add r18=16,r34 } | ||
564 | { .mfb; add r16=24,r33 | ||
565 | br .L_cheat_entry_point8 };; | ||
566 | .endp bn_sqr_comba8# | ||
567 | #endif | ||
568 | |||
569 | #if 1 | ||
570 | // I've estimated this routine to run in ~120 ticks, but in reality | ||
571 | // (i.e. according to ar.itc) it takes ~160 ticks. Are those extra | ||
572 | // cycles consumed for instructions fetch? Or did I misinterpret some | ||
573 | // clause in Itanium µ-architecture manual? Comments are welcomed and | ||
574 | // highly appreciated. | ||
575 | // | ||
576 | // On Itanium 2 it takes ~190 ticks. This is because of stalls on | ||
577 | // result from getf.sig. I do nothing about it at this point for | ||
578 | // reasons depicted below. | ||
579 | // | ||
580 | // However! It should be noted that even 160 ticks is darn good result | ||
581 | // as it's over 10 (yes, ten, spelled as t-e-n) times faster than the | ||
582 | // C version (compiled with gcc with inline assembler). I really | ||
583 | // kicked compiler's butt here, didn't I? Yeah! This brings us to the | ||
584 | // following statement. It's damn shame that this routine isn't called | ||
585 | // very often nowadays! According to the profiler most CPU time is | ||
586 | // consumed by bn_mul_add_words called from BN_from_montgomery. In | ||
587 | // order to estimate what we're missing, I've compared the performance | ||
588 | // of this routine against "traditional" implementation, i.e. against | ||
589 | // following routine: | ||
590 | // | ||
591 | // void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) | ||
592 | // { r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]); | ||
593 | // r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]); | ||
594 | // r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]); | ||
595 | // r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]); | ||
596 | // r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]); | ||
597 | // r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]); | ||
598 | // r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]); | ||
599 | // r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]); | ||
600 | // } | ||
601 | // | ||
602 | // The one below is over 8 times faster than the one above:-( Even | ||
603 | // more reasons to "combafy" bn_mul_add_mont... | ||
604 | // | ||
605 | // And yes, this routine really made me wish there were an optimizing | ||
606 | // assembler! It also feels like it deserves a dedication. | ||
607 | // | ||
608 | // To my wife for being there and to my kids... | ||
609 | // | ||
610 | // void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) | ||
611 | // | ||
612 | #define carry1 r14 | ||
613 | #define carry2 r15 | ||
614 | #define carry3 r34 | ||
615 | .global bn_mul_comba8# | ||
616 | .proc bn_mul_comba8# | ||
617 | .align 64 | ||
618 | bn_mul_comba8: | ||
619 | .prologue | ||
620 | .fframe 0 | ||
621 | .save ar.pfs,r2 | ||
622 | #if defined(_HPUX_SOURCE) && !defined(_LP64) | ||
623 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
624 | addp4 r33=0,r33 | ||
625 | addp4 r34=0,r34 };; | ||
626 | { .mii; addp4 r32=0,r32 | ||
627 | #else | ||
628 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
629 | #endif | ||
630 | add r14=8,r33 | ||
631 | add r17=8,r34 } | ||
632 | .body | ||
633 | { .mii; add r15=16,r33 | ||
634 | add r18=16,r34 | ||
635 | add r16=24,r33 } | ||
636 | .L_cheat_entry_point8: | ||
637 | { .mmi; add r19=24,r34 | ||
638 | |||
639 | ldf8 f32=[r33],32 };; | ||
640 | |||
641 | { .mmi; ldf8 f120=[r34],32 | ||
642 | ldf8 f121=[r17],32 } | ||
643 | { .mmi; ldf8 f122=[r18],32 | ||
644 | ldf8 f123=[r19],32 };; | ||
645 | { .mmi; ldf8 f124=[r34] | ||
646 | ldf8 f125=[r17] } | ||
647 | { .mmi; ldf8 f126=[r18] | ||
648 | ldf8 f127=[r19] } | ||
649 | |||
650 | { .mmi; ldf8 f33=[r14],32 | ||
651 | ldf8 f34=[r15],32 } | ||
652 | { .mmi; ldf8 f35=[r16],32;; | ||
653 | ldf8 f36=[r33] } | ||
654 | { .mmi; ldf8 f37=[r14] | ||
655 | ldf8 f38=[r15] } | ||
656 | { .mfi; ldf8 f39=[r16] | ||
657 | // -------\ Entering multiplier's heaven /------- | ||
658 | // ------------\ /------------ | ||
659 | // -----------------\ /----------------- | ||
660 | // ----------------------\/---------------------- | ||
661 | xma.hu f41=f32,f120,f0 } | ||
662 | { .mfi; xma.lu f40=f32,f120,f0 };; // (*) | ||
663 | { .mfi; xma.hu f51=f32,f121,f0 } | ||
664 | { .mfi; xma.lu f50=f32,f121,f0 };; | ||
665 | { .mfi; xma.hu f61=f32,f122,f0 } | ||
666 | { .mfi; xma.lu f60=f32,f122,f0 };; | ||
667 | { .mfi; xma.hu f71=f32,f123,f0 } | ||
668 | { .mfi; xma.lu f70=f32,f123,f0 };; | ||
669 | { .mfi; xma.hu f81=f32,f124,f0 } | ||
670 | { .mfi; xma.lu f80=f32,f124,f0 };; | ||
671 | { .mfi; xma.hu f91=f32,f125,f0 } | ||
672 | { .mfi; xma.lu f90=f32,f125,f0 };; | ||
673 | { .mfi; xma.hu f101=f32,f126,f0 } | ||
674 | { .mfi; xma.lu f100=f32,f126,f0 };; | ||
675 | { .mfi; xma.hu f111=f32,f127,f0 } | ||
676 | { .mfi; xma.lu f110=f32,f127,f0 };;// | ||
677 | // (*) You can argue that splitting at every second bundle would | ||
678 | // prevent "wider" IA-64 implementations from achieving the peak | ||
679 | // performance. Well, not really... The catch is that if you | ||
680 | // intend to keep 4 FP units busy by splitting at every fourth | ||
681 | // bundle and thus perform these 16 multiplications in 4 ticks, | ||
682 | // the first bundle *below* would stall because the result from | ||
683 | // the first xma bundle *above* won't be available for another 3 | ||
684 | // ticks (if not more, being an optimist, I assume that "wider" | ||
685 | // implementation will have same latency:-). This stall will hold | ||
686 | // you back and the performance would be as if every second bundle | ||
687 | // were split *anyway*... | ||
688 | { .mfi; getf.sig r16=f40 | ||
689 | xma.hu f42=f33,f120,f41 | ||
690 | add r33=8,r32 } | ||
691 | { .mfi; xma.lu f41=f33,f120,f41 };; | ||
692 | { .mfi; getf.sig r24=f50 | ||
693 | xma.hu f52=f33,f121,f51 } | ||
694 | { .mfi; xma.lu f51=f33,f121,f51 };; | ||
695 | { .mfi; st8 [r32]=r16,16 | ||
696 | xma.hu f62=f33,f122,f61 } | ||
697 | { .mfi; xma.lu f61=f33,f122,f61 };; | ||
698 | { .mfi; xma.hu f72=f33,f123,f71 } | ||
699 | { .mfi; xma.lu f71=f33,f123,f71 };; | ||
700 | { .mfi; xma.hu f82=f33,f124,f81 } | ||
701 | { .mfi; xma.lu f81=f33,f124,f81 };; | ||
702 | { .mfi; xma.hu f92=f33,f125,f91 } | ||
703 | { .mfi; xma.lu f91=f33,f125,f91 };; | ||
704 | { .mfi; xma.hu f102=f33,f126,f101 } | ||
705 | { .mfi; xma.lu f101=f33,f126,f101 };; | ||
706 | { .mfi; xma.hu f112=f33,f127,f111 } | ||
707 | { .mfi; xma.lu f111=f33,f127,f111 };;// | ||
708 | //-------------------------------------------------// | ||
709 | { .mfi; getf.sig r25=f41 | ||
710 | xma.hu f43=f34,f120,f42 } | ||
711 | { .mfi; xma.lu f42=f34,f120,f42 };; | ||
712 | { .mfi; getf.sig r16=f60 | ||
713 | xma.hu f53=f34,f121,f52 } | ||
714 | { .mfi; xma.lu f52=f34,f121,f52 };; | ||
715 | { .mfi; getf.sig r17=f51 | ||
716 | xma.hu f63=f34,f122,f62 | ||
717 | add r25=r25,r24 } | ||
718 | { .mfi; xma.lu f62=f34,f122,f62 | ||
719 | mov carry1=0 };; | ||
720 | { .mfi; cmp.ltu p6,p0=r25,r24 | ||
721 | xma.hu f73=f34,f123,f72 } | ||
722 | { .mfi; xma.lu f72=f34,f123,f72 };; | ||
723 | { .mfi; st8 [r33]=r25,16 | ||
724 | xma.hu f83=f34,f124,f82 | ||
725 | (p6) add carry1=1,carry1 } | ||
726 | { .mfi; xma.lu f82=f34,f124,f82 };; | ||
727 | { .mfi; xma.hu f93=f34,f125,f92 } | ||
728 | { .mfi; xma.lu f92=f34,f125,f92 };; | ||
729 | { .mfi; xma.hu f103=f34,f126,f102 } | ||
730 | { .mfi; xma.lu f102=f34,f126,f102 };; | ||
731 | { .mfi; xma.hu f113=f34,f127,f112 } | ||
732 | { .mfi; xma.lu f112=f34,f127,f112 };;// | ||
733 | //-------------------------------------------------// | ||
734 | { .mfi; getf.sig r18=f42 | ||
735 | xma.hu f44=f35,f120,f43 | ||
736 | add r17=r17,r16 } | ||
737 | { .mfi; xma.lu f43=f35,f120,f43 };; | ||
738 | { .mfi; getf.sig r24=f70 | ||
739 | xma.hu f54=f35,f121,f53 } | ||
740 | { .mfi; mov carry2=0 | ||
741 | xma.lu f53=f35,f121,f53 };; | ||
742 | { .mfi; getf.sig r25=f61 | ||
743 | xma.hu f64=f35,f122,f63 | ||
744 | cmp.ltu p7,p0=r17,r16 } | ||
745 | { .mfi; add r18=r18,r17 | ||
746 | xma.lu f63=f35,f122,f63 };; | ||
747 | { .mfi; getf.sig r26=f52 | ||
748 | xma.hu f74=f35,f123,f73 | ||
749 | (p7) add carry2=1,carry2 } | ||
750 | { .mfi; cmp.ltu p7,p0=r18,r17 | ||
751 | xma.lu f73=f35,f123,f73 | ||
752 | add r18=r18,carry1 };; | ||
753 | { .mfi; | ||
754 | xma.hu f84=f35,f124,f83 | ||
755 | (p7) add carry2=1,carry2 } | ||
756 | { .mfi; cmp.ltu p7,p0=r18,carry1 | ||
757 | xma.lu f83=f35,f124,f83 };; | ||
758 | { .mfi; st8 [r32]=r18,16 | ||
759 | xma.hu f94=f35,f125,f93 | ||
760 | (p7) add carry2=1,carry2 } | ||
761 | { .mfi; xma.lu f93=f35,f125,f93 };; | ||
762 | { .mfi; xma.hu f104=f35,f126,f103 } | ||
763 | { .mfi; xma.lu f103=f35,f126,f103 };; | ||
764 | { .mfi; xma.hu f114=f35,f127,f113 } | ||
765 | { .mfi; mov carry1=0 | ||
766 | xma.lu f113=f35,f127,f113 | ||
767 | add r25=r25,r24 };;// | ||
768 | //-------------------------------------------------// | ||
769 | { .mfi; getf.sig r27=f43 | ||
770 | xma.hu f45=f36,f120,f44 | ||
771 | cmp.ltu p6,p0=r25,r24 } | ||
772 | { .mfi; xma.lu f44=f36,f120,f44 | ||
773 | add r26=r26,r25 };; | ||
774 | { .mfi; getf.sig r16=f80 | ||
775 | xma.hu f55=f36,f121,f54 | ||
776 | (p6) add carry1=1,carry1 } | ||
777 | { .mfi; xma.lu f54=f36,f121,f54 };; | ||
778 | { .mfi; getf.sig r17=f71 | ||
779 | xma.hu f65=f36,f122,f64 | ||
780 | cmp.ltu p6,p0=r26,r25 } | ||
781 | { .mfi; xma.lu f64=f36,f122,f64 | ||
782 | add r27=r27,r26 };; | ||
783 | { .mfi; getf.sig r18=f62 | ||
784 | xma.hu f75=f36,f123,f74 | ||
785 | (p6) add carry1=1,carry1 } | ||
786 | { .mfi; cmp.ltu p6,p0=r27,r26 | ||
787 | xma.lu f74=f36,f123,f74 | ||
788 | add r27=r27,carry2 };; | ||
789 | { .mfi; getf.sig r19=f53 | ||
790 | xma.hu f85=f36,f124,f84 | ||
791 | (p6) add carry1=1,carry1 } | ||
792 | { .mfi; xma.lu f84=f36,f124,f84 | ||
793 | cmp.ltu p6,p0=r27,carry2 };; | ||
794 | { .mfi; st8 [r33]=r27,16 | ||
795 | xma.hu f95=f36,f125,f94 | ||
796 | (p6) add carry1=1,carry1 } | ||
797 | { .mfi; xma.lu f94=f36,f125,f94 };; | ||
798 | { .mfi; xma.hu f105=f36,f126,f104 } | ||
799 | { .mfi; mov carry2=0 | ||
800 | xma.lu f104=f36,f126,f104 | ||
801 | add r17=r17,r16 };; | ||
802 | { .mfi; xma.hu f115=f36,f127,f114 | ||
803 | cmp.ltu p7,p0=r17,r16 } | ||
804 | { .mfi; xma.lu f114=f36,f127,f114 | ||
805 | add r18=r18,r17 };;// | ||
806 | //-------------------------------------------------// | ||
807 | { .mfi; getf.sig r20=f44 | ||
808 | xma.hu f46=f37,f120,f45 | ||
809 | (p7) add carry2=1,carry2 } | ||
810 | { .mfi; cmp.ltu p7,p0=r18,r17 | ||
811 | xma.lu f45=f37,f120,f45 | ||
812 | add r19=r19,r18 };; | ||
813 | { .mfi; getf.sig r24=f90 | ||
814 | xma.hu f56=f37,f121,f55 } | ||
815 | { .mfi; xma.lu f55=f37,f121,f55 };; | ||
816 | { .mfi; getf.sig r25=f81 | ||
817 | xma.hu f66=f37,f122,f65 | ||
818 | (p7) add carry2=1,carry2 } | ||
819 | { .mfi; cmp.ltu p7,p0=r19,r18 | ||
820 | xma.lu f65=f37,f122,f65 | ||
821 | add r20=r20,r19 };; | ||
822 | { .mfi; getf.sig r26=f72 | ||
823 | xma.hu f76=f37,f123,f75 | ||
824 | (p7) add carry2=1,carry2 } | ||
825 | { .mfi; cmp.ltu p7,p0=r20,r19 | ||
826 | xma.lu f75=f37,f123,f75 | ||
827 | add r20=r20,carry1 };; | ||
828 | { .mfi; getf.sig r27=f63 | ||
829 | xma.hu f86=f37,f124,f85 | ||
830 | (p7) add carry2=1,carry2 } | ||
831 | { .mfi; xma.lu f85=f37,f124,f85 | ||
832 | cmp.ltu p7,p0=r20,carry1 };; | ||
833 | { .mfi; getf.sig r28=f54 | ||
834 | xma.hu f96=f37,f125,f95 | ||
835 | (p7) add carry2=1,carry2 } | ||
836 | { .mfi; st8 [r32]=r20,16 | ||
837 | xma.lu f95=f37,f125,f95 };; | ||
838 | { .mfi; xma.hu f106=f37,f126,f105 } | ||
839 | { .mfi; mov carry1=0 | ||
840 | xma.lu f105=f37,f126,f105 | ||
841 | add r25=r25,r24 };; | ||
842 | { .mfi; xma.hu f116=f37,f127,f115 | ||
843 | cmp.ltu p6,p0=r25,r24 } | ||
844 | { .mfi; xma.lu f115=f37,f127,f115 | ||
845 | add r26=r26,r25 };;// | ||
846 | //-------------------------------------------------// | ||
847 | { .mfi; getf.sig r29=f45 | ||
848 | xma.hu f47=f38,f120,f46 | ||
849 | (p6) add carry1=1,carry1 } | ||
850 | { .mfi; cmp.ltu p6,p0=r26,r25 | ||
851 | xma.lu f46=f38,f120,f46 | ||
852 | add r27=r27,r26 };; | ||
853 | { .mfi; getf.sig r16=f100 | ||
854 | xma.hu f57=f38,f121,f56 | ||
855 | (p6) add carry1=1,carry1 } | ||
856 | { .mfi; cmp.ltu p6,p0=r27,r26 | ||
857 | xma.lu f56=f38,f121,f56 | ||
858 | add r28=r28,r27 };; | ||
859 | { .mfi; getf.sig r17=f91 | ||
860 | xma.hu f67=f38,f122,f66 | ||
861 | (p6) add carry1=1,carry1 } | ||
862 | { .mfi; cmp.ltu p6,p0=r28,r27 | ||
863 | xma.lu f66=f38,f122,f66 | ||
864 | add r29=r29,r28 };; | ||
865 | { .mfi; getf.sig r18=f82 | ||
866 | xma.hu f77=f38,f123,f76 | ||
867 | (p6) add carry1=1,carry1 } | ||
868 | { .mfi; cmp.ltu p6,p0=r29,r28 | ||
869 | xma.lu f76=f38,f123,f76 | ||
870 | add r29=r29,carry2 };; | ||
871 | { .mfi; getf.sig r19=f73 | ||
872 | xma.hu f87=f38,f124,f86 | ||
873 | (p6) add carry1=1,carry1 } | ||
874 | { .mfi; xma.lu f86=f38,f124,f86 | ||
875 | cmp.ltu p6,p0=r29,carry2 };; | ||
876 | { .mfi; getf.sig r20=f64 | ||
877 | xma.hu f97=f38,f125,f96 | ||
878 | (p6) add carry1=1,carry1 } | ||
879 | { .mfi; st8 [r33]=r29,16 | ||
880 | xma.lu f96=f38,f125,f96 };; | ||
881 | { .mfi; getf.sig r21=f55 | ||
882 | xma.hu f107=f38,f126,f106 } | ||
883 | { .mfi; mov carry2=0 | ||
884 | xma.lu f106=f38,f126,f106 | ||
885 | add r17=r17,r16 };; | ||
886 | { .mfi; xma.hu f117=f38,f127,f116 | ||
887 | cmp.ltu p7,p0=r17,r16 } | ||
888 | { .mfi; xma.lu f116=f38,f127,f116 | ||
889 | add r18=r18,r17 };;// | ||
890 | //-------------------------------------------------// | ||
891 | { .mfi; getf.sig r22=f46 | ||
892 | xma.hu f48=f39,f120,f47 | ||
893 | (p7) add carry2=1,carry2 } | ||
894 | { .mfi; cmp.ltu p7,p0=r18,r17 | ||
895 | xma.lu f47=f39,f120,f47 | ||
896 | add r19=r19,r18 };; | ||
897 | { .mfi; getf.sig r24=f110 | ||
898 | xma.hu f58=f39,f121,f57 | ||
899 | (p7) add carry2=1,carry2 } | ||
900 | { .mfi; cmp.ltu p7,p0=r19,r18 | ||
901 | xma.lu f57=f39,f121,f57 | ||
902 | add r20=r20,r19 };; | ||
903 | { .mfi; getf.sig r25=f101 | ||
904 | xma.hu f68=f39,f122,f67 | ||
905 | (p7) add carry2=1,carry2 } | ||
906 | { .mfi; cmp.ltu p7,p0=r20,r19 | ||
907 | xma.lu f67=f39,f122,f67 | ||
908 | add r21=r21,r20 };; | ||
909 | { .mfi; getf.sig r26=f92 | ||
910 | xma.hu f78=f39,f123,f77 | ||
911 | (p7) add carry2=1,carry2 } | ||
912 | { .mfi; cmp.ltu p7,p0=r21,r20 | ||
913 | xma.lu f77=f39,f123,f77 | ||
914 | add r22=r22,r21 };; | ||
915 | { .mfi; getf.sig r27=f83 | ||
916 | xma.hu f88=f39,f124,f87 | ||
917 | (p7) add carry2=1,carry2 } | ||
918 | { .mfi; cmp.ltu p7,p0=r22,r21 | ||
919 | xma.lu f87=f39,f124,f87 | ||
920 | add r22=r22,carry1 };; | ||
921 | { .mfi; getf.sig r28=f74 | ||
922 | xma.hu f98=f39,f125,f97 | ||
923 | (p7) add carry2=1,carry2 } | ||
924 | { .mfi; xma.lu f97=f39,f125,f97 | ||
925 | cmp.ltu p7,p0=r22,carry1 };; | ||
926 | { .mfi; getf.sig r29=f65 | ||
927 | xma.hu f108=f39,f126,f107 | ||
928 | (p7) add carry2=1,carry2 } | ||
929 | { .mfi; st8 [r32]=r22,16 | ||
930 | xma.lu f107=f39,f126,f107 };; | ||
931 | { .mfi; getf.sig r30=f56 | ||
932 | xma.hu f118=f39,f127,f117 } | ||
933 | { .mfi; xma.lu f117=f39,f127,f117 };;// | ||
934 | //-------------------------------------------------// | ||
935 | // Leaving muliplier's heaven... Quite a ride, huh? | ||
936 | |||
937 | { .mii; getf.sig r31=f47 | ||
938 | add r25=r25,r24 | ||
939 | mov carry1=0 };; | ||
940 | { .mii; getf.sig r16=f111 | ||
941 | cmp.ltu p6,p0=r25,r24 | ||
942 | add r26=r26,r25 };; | ||
943 | { .mfb; getf.sig r17=f102 } | ||
944 | { .mii; | ||
945 | (p6) add carry1=1,carry1 | ||
946 | cmp.ltu p6,p0=r26,r25 | ||
947 | add r27=r27,r26 };; | ||
948 | { .mfb; nop.m 0x0 } | ||
949 | { .mii; | ||
950 | (p6) add carry1=1,carry1 | ||
951 | cmp.ltu p6,p0=r27,r26 | ||
952 | add r28=r28,r27 };; | ||
953 | { .mii; getf.sig r18=f93 | ||
954 | add r17=r17,r16 | ||
955 | mov carry3=0 } | ||
956 | { .mii; | ||
957 | (p6) add carry1=1,carry1 | ||
958 | cmp.ltu p6,p0=r28,r27 | ||
959 | add r29=r29,r28 };; | ||
960 | { .mii; getf.sig r19=f84 | ||
961 | cmp.ltu p7,p0=r17,r16 } | ||
962 | { .mii; | ||
963 | (p6) add carry1=1,carry1 | ||
964 | cmp.ltu p6,p0=r29,r28 | ||
965 | add r30=r30,r29 };; | ||
966 | { .mii; getf.sig r20=f75 | ||
967 | add r18=r18,r17 } | ||
968 | { .mii; | ||
969 | (p6) add carry1=1,carry1 | ||
970 | cmp.ltu p6,p0=r30,r29 | ||
971 | add r31=r31,r30 };; | ||
972 | { .mfb; getf.sig r21=f66 } | ||
973 | { .mii; (p7) add carry3=1,carry3 | ||
974 | cmp.ltu p7,p0=r18,r17 | ||
975 | add r19=r19,r18 } | ||
976 | { .mfb; nop.m 0x0 } | ||
977 | { .mii; | ||
978 | (p6) add carry1=1,carry1 | ||
979 | cmp.ltu p6,p0=r31,r30 | ||
980 | add r31=r31,carry2 };; | ||
981 | { .mfb; getf.sig r22=f57 } | ||
982 | { .mii; (p7) add carry3=1,carry3 | ||
983 | cmp.ltu p7,p0=r19,r18 | ||
984 | add r20=r20,r19 } | ||
985 | { .mfb; nop.m 0x0 } | ||
986 | { .mii; | ||
987 | (p6) add carry1=1,carry1 | ||
988 | cmp.ltu p6,p0=r31,carry2 };; | ||
989 | { .mfb; getf.sig r23=f48 } | ||
990 | { .mii; (p7) add carry3=1,carry3 | ||
991 | cmp.ltu p7,p0=r20,r19 | ||
992 | add r21=r21,r20 } | ||
993 | { .mii; | ||
994 | (p6) add carry1=1,carry1 } | ||
995 | { .mfb; st8 [r33]=r31,16 };; | ||
996 | |||
997 | { .mfb; getf.sig r24=f112 } | ||
998 | { .mii; (p7) add carry3=1,carry3 | ||
999 | cmp.ltu p7,p0=r21,r20 | ||
1000 | add r22=r22,r21 };; | ||
1001 | { .mfb; getf.sig r25=f103 } | ||
1002 | { .mii; (p7) add carry3=1,carry3 | ||
1003 | cmp.ltu p7,p0=r22,r21 | ||
1004 | add r23=r23,r22 };; | ||
1005 | { .mfb; getf.sig r26=f94 } | ||
1006 | { .mii; (p7) add carry3=1,carry3 | ||
1007 | cmp.ltu p7,p0=r23,r22 | ||
1008 | add r23=r23,carry1 };; | ||
1009 | { .mfb; getf.sig r27=f85 } | ||
1010 | { .mii; (p7) add carry3=1,carry3 | ||
1011 | cmp.ltu p7,p8=r23,carry1};; | ||
1012 | { .mii; getf.sig r28=f76 | ||
1013 | add r25=r25,r24 | ||
1014 | mov carry1=0 } | ||
1015 | { .mii; st8 [r32]=r23,16 | ||
1016 | (p7) add carry2=1,carry3 | ||
1017 | (p8) add carry2=0,carry3 };; | ||
1018 | |||
1019 | { .mfb; nop.m 0x0 } | ||
1020 | { .mii; getf.sig r29=f67 | ||
1021 | cmp.ltu p6,p0=r25,r24 | ||
1022 | add r26=r26,r25 };; | ||
1023 | { .mfb; getf.sig r30=f58 } | ||
1024 | { .mii; | ||
1025 | (p6) add carry1=1,carry1 | ||
1026 | cmp.ltu p6,p0=r26,r25 | ||
1027 | add r27=r27,r26 };; | ||
1028 | { .mfb; getf.sig r16=f113 } | ||
1029 | { .mii; | ||
1030 | (p6) add carry1=1,carry1 | ||
1031 | cmp.ltu p6,p0=r27,r26 | ||
1032 | add r28=r28,r27 };; | ||
1033 | { .mfb; getf.sig r17=f104 } | ||
1034 | { .mii; | ||
1035 | (p6) add carry1=1,carry1 | ||
1036 | cmp.ltu p6,p0=r28,r27 | ||
1037 | add r29=r29,r28 };; | ||
1038 | { .mfb; getf.sig r18=f95 } | ||
1039 | { .mii; | ||
1040 | (p6) add carry1=1,carry1 | ||
1041 | cmp.ltu p6,p0=r29,r28 | ||
1042 | add r30=r30,r29 };; | ||
1043 | { .mii; getf.sig r19=f86 | ||
1044 | add r17=r17,r16 | ||
1045 | mov carry3=0 } | ||
1046 | { .mii; | ||
1047 | (p6) add carry1=1,carry1 | ||
1048 | cmp.ltu p6,p0=r30,r29 | ||
1049 | add r30=r30,carry2 };; | ||
1050 | { .mii; getf.sig r20=f77 | ||
1051 | cmp.ltu p7,p0=r17,r16 | ||
1052 | add r18=r18,r17 } | ||
1053 | { .mii; | ||
1054 | (p6) add carry1=1,carry1 | ||
1055 | cmp.ltu p6,p0=r30,carry2 };; | ||
1056 | { .mfb; getf.sig r21=f68 } | ||
1057 | { .mii; st8 [r33]=r30,16 | ||
1058 | (p6) add carry1=1,carry1 };; | ||
1059 | |||
1060 | { .mfb; getf.sig r24=f114 } | ||
1061 | { .mii; (p7) add carry3=1,carry3 | ||
1062 | cmp.ltu p7,p0=r18,r17 | ||
1063 | add r19=r19,r18 };; | ||
1064 | { .mfb; getf.sig r25=f105 } | ||
1065 | { .mii; (p7) add carry3=1,carry3 | ||
1066 | cmp.ltu p7,p0=r19,r18 | ||
1067 | add r20=r20,r19 };; | ||
1068 | { .mfb; getf.sig r26=f96 } | ||
1069 | { .mii; (p7) add carry3=1,carry3 | ||
1070 | cmp.ltu p7,p0=r20,r19 | ||
1071 | add r21=r21,r20 };; | ||
1072 | { .mfb; getf.sig r27=f87 } | ||
1073 | { .mii; (p7) add carry3=1,carry3 | ||
1074 | cmp.ltu p7,p0=r21,r20 | ||
1075 | add r21=r21,carry1 };; | ||
1076 | { .mib; getf.sig r28=f78 | ||
1077 | add r25=r25,r24 } | ||
1078 | { .mib; (p7) add carry3=1,carry3 | ||
1079 | cmp.ltu p7,p8=r21,carry1};; | ||
1080 | { .mii; st8 [r32]=r21,16 | ||
1081 | (p7) add carry2=1,carry3 | ||
1082 | (p8) add carry2=0,carry3 } | ||
1083 | |||
1084 | { .mii; mov carry1=0 | ||
1085 | cmp.ltu p6,p0=r25,r24 | ||
1086 | add r26=r26,r25 };; | ||
1087 | { .mfb; getf.sig r16=f115 } | ||
1088 | { .mii; | ||
1089 | (p6) add carry1=1,carry1 | ||
1090 | cmp.ltu p6,p0=r26,r25 | ||
1091 | add r27=r27,r26 };; | ||
1092 | { .mfb; getf.sig r17=f106 } | ||
1093 | { .mii; | ||
1094 | (p6) add carry1=1,carry1 | ||
1095 | cmp.ltu p6,p0=r27,r26 | ||
1096 | add r28=r28,r27 };; | ||
1097 | { .mfb; getf.sig r18=f97 } | ||
1098 | { .mii; | ||
1099 | (p6) add carry1=1,carry1 | ||
1100 | cmp.ltu p6,p0=r28,r27 | ||
1101 | add r28=r28,carry2 };; | ||
1102 | { .mib; getf.sig r19=f88 | ||
1103 | add r17=r17,r16 } | ||
1104 | { .mib; | ||
1105 | (p6) add carry1=1,carry1 | ||
1106 | cmp.ltu p6,p0=r28,carry2 };; | ||
1107 | { .mii; st8 [r33]=r28,16 | ||
1108 | (p6) add carry1=1,carry1 } | ||
1109 | |||
1110 | { .mii; mov carry2=0 | ||
1111 | cmp.ltu p7,p0=r17,r16 | ||
1112 | add r18=r18,r17 };; | ||
1113 | { .mfb; getf.sig r24=f116 } | ||
1114 | { .mii; (p7) add carry2=1,carry2 | ||
1115 | cmp.ltu p7,p0=r18,r17 | ||
1116 | add r19=r19,r18 };; | ||
1117 | { .mfb; getf.sig r25=f107 } | ||
1118 | { .mii; (p7) add carry2=1,carry2 | ||
1119 | cmp.ltu p7,p0=r19,r18 | ||
1120 | add r19=r19,carry1 };; | ||
1121 | { .mfb; getf.sig r26=f98 } | ||
1122 | { .mii; (p7) add carry2=1,carry2 | ||
1123 | cmp.ltu p7,p0=r19,carry1};; | ||
1124 | { .mii; st8 [r32]=r19,16 | ||
1125 | (p7) add carry2=1,carry2 } | ||
1126 | |||
1127 | { .mfb; add r25=r25,r24 };; | ||
1128 | |||
1129 | { .mfb; getf.sig r16=f117 } | ||
1130 | { .mii; mov carry1=0 | ||
1131 | cmp.ltu p6,p0=r25,r24 | ||
1132 | add r26=r26,r25 };; | ||
1133 | { .mfb; getf.sig r17=f108 } | ||
1134 | { .mii; | ||
1135 | (p6) add carry1=1,carry1 | ||
1136 | cmp.ltu p6,p0=r26,r25 | ||
1137 | add r26=r26,carry2 };; | ||
1138 | { .mfb; nop.m 0x0 } | ||
1139 | { .mii; | ||
1140 | (p6) add carry1=1,carry1 | ||
1141 | cmp.ltu p6,p0=r26,carry2 };; | ||
1142 | { .mii; st8 [r33]=r26,16 | ||
1143 | (p6) add carry1=1,carry1 } | ||
1144 | |||
1145 | { .mfb; add r17=r17,r16 };; | ||
1146 | { .mfb; getf.sig r24=f118 } | ||
1147 | { .mii; mov carry2=0 | ||
1148 | cmp.ltu p7,p0=r17,r16 | ||
1149 | add r17=r17,carry1 };; | ||
1150 | { .mii; (p7) add carry2=1,carry2 | ||
1151 | cmp.ltu p7,p0=r17,carry1};; | ||
1152 | { .mii; st8 [r32]=r17 | ||
1153 | (p7) add carry2=1,carry2 };; | ||
1154 | { .mfb; add r24=r24,carry2 };; | ||
1155 | { .mib; st8 [r33]=r24 } | ||
1156 | |||
1157 | { .mib; rum 1<<5 // clear um.mfh | ||
1158 | br.ret.sptk.many b0 };; | ||
1159 | .endp bn_mul_comba8# | ||
1160 | #undef carry3 | ||
1161 | #undef carry2 | ||
1162 | #undef carry1 | ||
1163 | #endif | ||
1164 | |||
1165 | #if 1 | ||
1166 | // It's possible to make it faster (see comment to bn_sqr_comba8), but | ||
1167 | // I reckon it doesn't worth the effort. Basically because the routine | ||
1168 | // (actually both of them) practically never called... So I just play | ||
1169 | // same trick as with bn_sqr_comba8. | ||
1170 | // | ||
1171 | // void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a) | ||
1172 | // | ||
1173 | .global bn_sqr_comba4# | ||
1174 | .proc bn_sqr_comba4# | ||
1175 | .align 64 | ||
1176 | bn_sqr_comba4: | ||
1177 | .prologue | ||
1178 | .fframe 0 | ||
1179 | .save ar.pfs,r2 | ||
1180 | #if defined(_HPUX_SOURCE) && !defined(_LP64) | ||
1181 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
1182 | addp4 r32=0,r32 | ||
1183 | addp4 r33=0,r33 };; | ||
1184 | { .mii; | ||
1185 | #else | ||
1186 | { .mii; alloc r2=ar.pfs,2,1,0,0 | ||
1187 | #endif | ||
1188 | mov r34=r33 | ||
1189 | add r14=8,r33 };; | ||
1190 | .body | ||
1191 | { .mii; add r17=8,r34 | ||
1192 | add r15=16,r33 | ||
1193 | add r18=16,r34 } | ||
1194 | { .mfb; add r16=24,r33 | ||
1195 | br .L_cheat_entry_point4 };; | ||
1196 | .endp bn_sqr_comba4# | ||
1197 | #endif | ||
1198 | |||
1199 | #if 1 | ||
1200 | // Runs in ~115 cycles and ~4.5 times faster than C. Well, whatever... | ||
1201 | // | ||
1202 | // void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) | ||
1203 | // | ||
1204 | #define carry1 r14 | ||
1205 | #define carry2 r15 | ||
1206 | .global bn_mul_comba4# | ||
1207 | .proc bn_mul_comba4# | ||
1208 | .align 64 | ||
1209 | bn_mul_comba4: | ||
1210 | .prologue | ||
1211 | .fframe 0 | ||
1212 | .save ar.pfs,r2 | ||
1213 | #if defined(_HPUX_SOURCE) && !defined(_LP64) | ||
1214 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
1215 | addp4 r33=0,r33 | ||
1216 | addp4 r34=0,r34 };; | ||
1217 | { .mii; addp4 r32=0,r32 | ||
1218 | #else | ||
1219 | { .mii; alloc r2=ar.pfs,3,0,0,0 | ||
1220 | #endif | ||
1221 | add r14=8,r33 | ||
1222 | add r17=8,r34 } | ||
1223 | .body | ||
1224 | { .mii; add r15=16,r33 | ||
1225 | add r18=16,r34 | ||
1226 | add r16=24,r33 };; | ||
1227 | .L_cheat_entry_point4: | ||
1228 | { .mmi; add r19=24,r34 | ||
1229 | |||
1230 | ldf8 f32=[r33] } | ||
1231 | |||
1232 | { .mmi; ldf8 f120=[r34] | ||
1233 | ldf8 f121=[r17] };; | ||
1234 | { .mmi; ldf8 f122=[r18] | ||
1235 | ldf8 f123=[r19] } | ||
1236 | |||
1237 | { .mmi; ldf8 f33=[r14] | ||
1238 | ldf8 f34=[r15] } | ||
1239 | { .mfi; ldf8 f35=[r16] | ||
1240 | |||
1241 | xma.hu f41=f32,f120,f0 } | ||
1242 | { .mfi; xma.lu f40=f32,f120,f0 };; | ||
1243 | { .mfi; xma.hu f51=f32,f121,f0 } | ||
1244 | { .mfi; xma.lu f50=f32,f121,f0 };; | ||
1245 | { .mfi; xma.hu f61=f32,f122,f0 } | ||
1246 | { .mfi; xma.lu f60=f32,f122,f0 };; | ||
1247 | { .mfi; xma.hu f71=f32,f123,f0 } | ||
1248 | { .mfi; xma.lu f70=f32,f123,f0 };;// | ||
1249 | // Major stall takes place here, and 3 more places below. Result from | ||
1250 | // first xma is not available for another 3 ticks. | ||
1251 | { .mfi; getf.sig r16=f40 | ||
1252 | xma.hu f42=f33,f120,f41 | ||
1253 | add r33=8,r32 } | ||
1254 | { .mfi; xma.lu f41=f33,f120,f41 };; | ||
1255 | { .mfi; getf.sig r24=f50 | ||
1256 | xma.hu f52=f33,f121,f51 } | ||
1257 | { .mfi; xma.lu f51=f33,f121,f51 };; | ||
1258 | { .mfi; st8 [r32]=r16,16 | ||
1259 | xma.hu f62=f33,f122,f61 } | ||
1260 | { .mfi; xma.lu f61=f33,f122,f61 };; | ||
1261 | { .mfi; xma.hu f72=f33,f123,f71 } | ||
1262 | { .mfi; xma.lu f71=f33,f123,f71 };;// | ||
1263 | //-------------------------------------------------// | ||
1264 | { .mfi; getf.sig r25=f41 | ||
1265 | xma.hu f43=f34,f120,f42 } | ||
1266 | { .mfi; xma.lu f42=f34,f120,f42 };; | ||
1267 | { .mfi; getf.sig r16=f60 | ||
1268 | xma.hu f53=f34,f121,f52 } | ||
1269 | { .mfi; xma.lu f52=f34,f121,f52 };; | ||
1270 | { .mfi; getf.sig r17=f51 | ||
1271 | xma.hu f63=f34,f122,f62 | ||
1272 | add r25=r25,r24 } | ||
1273 | { .mfi; mov carry1=0 | ||
1274 | xma.lu f62=f34,f122,f62 };; | ||
1275 | { .mfi; st8 [r33]=r25,16 | ||
1276 | xma.hu f73=f34,f123,f72 | ||
1277 | cmp.ltu p6,p0=r25,r24 } | ||
1278 | { .mfi; xma.lu f72=f34,f123,f72 };;// | ||
1279 | //-------------------------------------------------// | ||
1280 | { .mfi; getf.sig r18=f42 | ||
1281 | xma.hu f44=f35,f120,f43 | ||
1282 | (p6) add carry1=1,carry1 } | ||
1283 | { .mfi; add r17=r17,r16 | ||
1284 | xma.lu f43=f35,f120,f43 | ||
1285 | mov carry2=0 };; | ||
1286 | { .mfi; getf.sig r24=f70 | ||
1287 | xma.hu f54=f35,f121,f53 | ||
1288 | cmp.ltu p7,p0=r17,r16 } | ||
1289 | { .mfi; xma.lu f53=f35,f121,f53 };; | ||
1290 | { .mfi; getf.sig r25=f61 | ||
1291 | xma.hu f64=f35,f122,f63 | ||
1292 | add r18=r18,r17 } | ||
1293 | { .mfi; xma.lu f63=f35,f122,f63 | ||
1294 | (p7) add carry2=1,carry2 };; | ||
1295 | { .mfi; getf.sig r26=f52 | ||
1296 | xma.hu f74=f35,f123,f73 | ||
1297 | cmp.ltu p7,p0=r18,r17 } | ||
1298 | { .mfi; xma.lu f73=f35,f123,f73 | ||
1299 | add r18=r18,carry1 };; | ||
1300 | //-------------------------------------------------// | ||
1301 | { .mii; st8 [r32]=r18,16 | ||
1302 | (p7) add carry2=1,carry2 | ||
1303 | cmp.ltu p7,p0=r18,carry1 };; | ||
1304 | |||
1305 | { .mfi; getf.sig r27=f43 // last major stall | ||
1306 | (p7) add carry2=1,carry2 };; | ||
1307 | { .mii; getf.sig r16=f71 | ||
1308 | add r25=r25,r24 | ||
1309 | mov carry1=0 };; | ||
1310 | { .mii; getf.sig r17=f62 | ||
1311 | cmp.ltu p6,p0=r25,r24 | ||
1312 | add r26=r26,r25 };; | ||
1313 | { .mii; | ||
1314 | (p6) add carry1=1,carry1 | ||
1315 | cmp.ltu p6,p0=r26,r25 | ||
1316 | add r27=r27,r26 };; | ||
1317 | { .mii; | ||
1318 | (p6) add carry1=1,carry1 | ||
1319 | cmp.ltu p6,p0=r27,r26 | ||
1320 | add r27=r27,carry2 };; | ||
1321 | { .mii; getf.sig r18=f53 | ||
1322 | (p6) add carry1=1,carry1 | ||
1323 | cmp.ltu p6,p0=r27,carry2 };; | ||
1324 | { .mfi; st8 [r33]=r27,16 | ||
1325 | (p6) add carry1=1,carry1 } | ||
1326 | |||
1327 | { .mii; getf.sig r19=f44 | ||
1328 | add r17=r17,r16 | ||
1329 | mov carry2=0 };; | ||
1330 | { .mii; getf.sig r24=f72 | ||
1331 | cmp.ltu p7,p0=r17,r16 | ||
1332 | add r18=r18,r17 };; | ||
1333 | { .mii; (p7) add carry2=1,carry2 | ||
1334 | cmp.ltu p7,p0=r18,r17 | ||
1335 | add r19=r19,r18 };; | ||
1336 | { .mii; (p7) add carry2=1,carry2 | ||
1337 | cmp.ltu p7,p0=r19,r18 | ||
1338 | add r19=r19,carry1 };; | ||
1339 | { .mii; getf.sig r25=f63 | ||
1340 | (p7) add carry2=1,carry2 | ||
1341 | cmp.ltu p7,p0=r19,carry1};; | ||
1342 | { .mii; st8 [r32]=r19,16 | ||
1343 | (p7) add carry2=1,carry2 } | ||
1344 | |||
1345 | { .mii; getf.sig r26=f54 | ||
1346 | add r25=r25,r24 | ||
1347 | mov carry1=0 };; | ||
1348 | { .mii; getf.sig r16=f73 | ||
1349 | cmp.ltu p6,p0=r25,r24 | ||
1350 | add r26=r26,r25 };; | ||
1351 | { .mii; | ||
1352 | (p6) add carry1=1,carry1 | ||
1353 | cmp.ltu p6,p0=r26,r25 | ||
1354 | add r26=r26,carry2 };; | ||
1355 | { .mii; getf.sig r17=f64 | ||
1356 | (p6) add carry1=1,carry1 | ||
1357 | cmp.ltu p6,p0=r26,carry2 };; | ||
1358 | { .mii; st8 [r33]=r26,16 | ||
1359 | (p6) add carry1=1,carry1 } | ||
1360 | |||
1361 | { .mii; getf.sig r24=f74 | ||
1362 | add r17=r17,r16 | ||
1363 | mov carry2=0 };; | ||
1364 | { .mii; cmp.ltu p7,p0=r17,r16 | ||
1365 | add r17=r17,carry1 };; | ||
1366 | |||
1367 | { .mii; (p7) add carry2=1,carry2 | ||
1368 | cmp.ltu p7,p0=r17,carry1};; | ||
1369 | { .mii; st8 [r32]=r17,16 | ||
1370 | (p7) add carry2=1,carry2 };; | ||
1371 | |||
1372 | { .mii; add r24=r24,carry2 };; | ||
1373 | { .mii; st8 [r33]=r24 } | ||
1374 | |||
1375 | { .mib; rum 1<<5 // clear um.mfh | ||
1376 | br.ret.sptk.many b0 };; | ||
1377 | .endp bn_mul_comba4# | ||
1378 | #undef carry2 | ||
1379 | #undef carry1 | ||
1380 | #endif | ||
1381 | |||
1382 | #if 1 | ||
1383 | // | ||
1384 | // BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d) | ||
1385 | // | ||
1386 | // In the nutshell it's a port of my MIPS III/IV implementation. | ||
1387 | // | ||
1388 | #define AT r14 | ||
1389 | #define H r16 | ||
1390 | #define HH r20 | ||
1391 | #define L r17 | ||
1392 | #define D r18 | ||
1393 | #define DH r22 | ||
1394 | #define I r21 | ||
1395 | |||
1396 | #if 0 | ||
1397 | // Some preprocessors (most notably HP-UX) appear to be allergic to | ||
1398 | // macros enclosed to parenthesis [as these three were]. | ||
1399 | #define cont p16 | ||
1400 | #define break p0 // p20 | ||
1401 | #define equ p24 | ||
1402 | #else | ||
1403 | cont=p16 | ||
1404 | break=p0 | ||
1405 | equ=p24 | ||
1406 | #endif | ||
1407 | |||
1408 | .global abort# | ||
1409 | .global bn_div_words# | ||
1410 | .proc bn_div_words# | ||
1411 | .align 64 | ||
1412 | bn_div_words: | ||
1413 | .prologue | ||
1414 | .fframe 0 | ||
1415 | .save ar.pfs,r2 | ||
1416 | .save b0,r3 | ||
1417 | { .mii; alloc r2=ar.pfs,3,5,0,8 | ||
1418 | mov r3=b0 | ||
1419 | mov r10=pr };; | ||
1420 | { .mmb; cmp.eq p6,p0=r34,r0 | ||
1421 | mov r8=-1 | ||
1422 | (p6) br.ret.spnt.many b0 };; | ||
1423 | |||
1424 | .body | ||
1425 | { .mii; mov H=r32 // save h | ||
1426 | mov ar.ec=0 // don't rotate at exit | ||
1427 | mov pr.rot=0 } | ||
1428 | { .mii; mov L=r33 // save l | ||
1429 | mov r36=r0 };; | ||
1430 | |||
1431 | .L_divw_shift: // -vv- note signed comparison | ||
1432 | { .mfi; (p0) cmp.lt p16,p0=r0,r34 // d | ||
1433 | (p0) shladd r33=r34,1,r0 } | ||
1434 | { .mfb; (p0) add r35=1,r36 | ||
1435 | (p0) nop.f 0x0 | ||
1436 | (p16) br.wtop.dpnt .L_divw_shift };; | ||
1437 | |||
1438 | { .mii; mov D=r34 | ||
1439 | shr.u DH=r34,32 | ||
1440 | sub r35=64,r36 };; | ||
1441 | { .mii; setf.sig f7=DH | ||
1442 | shr.u AT=H,r35 | ||
1443 | mov I=r36 };; | ||
1444 | { .mib; cmp.ne p6,p0=r0,AT | ||
1445 | shl H=H,r36 | ||
1446 | (p6) br.call.spnt.clr b0=abort };; // overflow, die... | ||
1447 | |||
1448 | { .mfi; fcvt.xuf.s1 f7=f7 | ||
1449 | shr.u AT=L,r35 };; | ||
1450 | { .mii; shl L=L,r36 | ||
1451 | or H=H,AT };; | ||
1452 | |||
1453 | { .mii; nop.m 0x0 | ||
1454 | cmp.leu p6,p0=D,H;; | ||
1455 | (p6) sub H=H,D } | ||
1456 | |||
1457 | { .mlx; setf.sig f14=D | ||
1458 | movl AT=0xffffffff };; | ||
1459 | /////////////////////////////////////////////////////////// | ||
1460 | { .mii; setf.sig f6=H | ||
1461 | shr.u HH=H,32;; | ||
1462 | cmp.eq p6,p7=HH,DH };; | ||
1463 | { .mfb; | ||
1464 | (p6) setf.sig f8=AT | ||
1465 | (p7) fcvt.xuf.s1 f6=f6 | ||
1466 | (p7) br.call.sptk b6=.L_udiv64_32_b6 };; | ||
1467 | |||
1468 | { .mfi; getf.sig r33=f8 // q | ||
1469 | xmpy.lu f9=f8,f14 } | ||
1470 | { .mfi; xmpy.hu f10=f8,f14 | ||
1471 | shrp H=H,L,32 };; | ||
1472 | |||
1473 | { .mmi; getf.sig r35=f9 // tl | ||
1474 | getf.sig r31=f10 };; // th | ||
1475 | |||
1476 | .L_divw_1st_iter: | ||
1477 | { .mii; (p0) add r32=-1,r33 | ||
1478 | (p0) cmp.eq equ,cont=HH,r31 };; | ||
1479 | { .mii; (p0) cmp.ltu p8,p0=r35,D | ||
1480 | (p0) sub r34=r35,D | ||
1481 | (equ) cmp.leu break,cont=r35,H };; | ||
1482 | { .mib; (cont) cmp.leu cont,break=HH,r31 | ||
1483 | (p8) add r31=-1,r31 | ||
1484 | (cont) br.wtop.spnt .L_divw_1st_iter };; | ||
1485 | /////////////////////////////////////////////////////////// | ||
1486 | { .mii; sub H=H,r35 | ||
1487 | shl r8=r33,32 | ||
1488 | shl L=L,32 };; | ||
1489 | /////////////////////////////////////////////////////////// | ||
1490 | { .mii; setf.sig f6=H | ||
1491 | shr.u HH=H,32;; | ||
1492 | cmp.eq p6,p7=HH,DH };; | ||
1493 | { .mfb; | ||
1494 | (p6) setf.sig f8=AT | ||
1495 | (p7) fcvt.xuf.s1 f6=f6 | ||
1496 | (p7) br.call.sptk b6=.L_udiv64_32_b6 };; | ||
1497 | |||
1498 | { .mfi; getf.sig r33=f8 // q | ||
1499 | xmpy.lu f9=f8,f14 } | ||
1500 | { .mfi; xmpy.hu f10=f8,f14 | ||
1501 | shrp H=H,L,32 };; | ||
1502 | |||
1503 | { .mmi; getf.sig r35=f9 // tl | ||
1504 | getf.sig r31=f10 };; // th | ||
1505 | |||
1506 | .L_divw_2nd_iter: | ||
1507 | { .mii; (p0) add r32=-1,r33 | ||
1508 | (p0) cmp.eq equ,cont=HH,r31 };; | ||
1509 | { .mii; (p0) cmp.ltu p8,p0=r35,D | ||
1510 | (p0) sub r34=r35,D | ||
1511 | (equ) cmp.leu break,cont=r35,H };; | ||
1512 | { .mib; (cont) cmp.leu cont,break=HH,r31 | ||
1513 | (p8) add r31=-1,r31 | ||
1514 | (cont) br.wtop.spnt .L_divw_2nd_iter };; | ||
1515 | /////////////////////////////////////////////////////////// | ||
1516 | { .mii; sub H=H,r35 | ||
1517 | or r8=r8,r33 | ||
1518 | mov ar.pfs=r2 };; | ||
1519 | { .mii; shr.u r9=H,I // remainder if anybody wants it | ||
1520 | mov pr=r10,0x1ffff } | ||
1521 | { .mfb; br.ret.sptk.many b0 };; | ||
1522 | |||
1523 | // Unsigned 64 by 32 (well, by 64 for the moment) bit integer division | ||
1524 | // procedure. | ||
1525 | // | ||
1526 | // inputs: f6 = (double)a, f7 = (double)b | ||
1527 | // output: f8 = (int)(a/b) | ||
1528 | // clobbered: f8,f9,f10,f11,pred | ||
1529 | pred=p15 | ||
1530 | // One can argue that this snippet is copyrighted to Intel | ||
1531 | // Corporation, as it's essentially identical to one of those | ||
1532 | // found in "Divide, Square Root and Remainder" section at | ||
1533 | // http://www.intel.com/software/products/opensource/libraries/num.htm. | ||
1534 | // Yes, I admit that the referred code was used as template, | ||
1535 | // but after I realized that there hardly is any other instruction | ||
1536 | // sequence which would perform this operation. I mean I figure that | ||
1537 | // any independent attempt to implement high-performance division | ||
1538 | // will result in code virtually identical to the Intel code. It | ||
1539 | // should be noted though that below division kernel is 1 cycle | ||
1540 | // faster than Intel one (note commented splits:-), not to mention | ||
1541 | // original prologue (rather lack of one) and epilogue. | ||
1542 | .align 32 | ||
1543 | .skip 16 | ||
1544 | .L_udiv64_32_b6: | ||
1545 | frcpa.s1 f8,pred=f6,f7;; // [0] y0 = 1 / b | ||
1546 | |||
1547 | (pred) fnma.s1 f9=f7,f8,f1 // [5] e0 = 1 - b * y0 | ||
1548 | (pred) fmpy.s1 f10=f6,f8;; // [5] q0 = a * y0 | ||
1549 | (pred) fmpy.s1 f11=f9,f9 // [10] e1 = e0 * e0 | ||
1550 | (pred) fma.s1 f10=f9,f10,f10;; // [10] q1 = q0 + e0 * q0 | ||
1551 | (pred) fma.s1 f8=f9,f8,f8 //;; // [15] y1 = y0 + e0 * y0 | ||
1552 | (pred) fma.s1 f9=f11,f10,f10;; // [15] q2 = q1 + e1 * q1 | ||
1553 | (pred) fma.s1 f8=f11,f8,f8 //;; // [20] y2 = y1 + e1 * y1 | ||
1554 | (pred) fnma.s1 f10=f7,f9,f6;; // [20] r2 = a - b * q2 | ||
1555 | (pred) fma.s1 f8=f10,f8,f9;; // [25] q3 = q2 + r2 * y2 | ||
1556 | |||
1557 | fcvt.fxu.trunc.s1 f8=f8 // [30] q = trunc(q3) | ||
1558 | br.ret.sptk.many b6;; | ||
1559 | .endp bn_div_words# | ||
1560 | #endif | ||