1 | #! /usr/bin/env perl
|
---|
2 | # Copyright 2018-2020 The OpenSSL Project Authors. All Rights Reserved.
|
---|
3 | #
|
---|
4 | # Licensed under the OpenSSL license (the "License"). You may not use
|
---|
5 | # this file except in compliance with the License. You can obtain a copy
|
---|
6 | # in the file LICENSE in the source distribution or at
|
---|
7 | # https://www.openssl.org/source/license.html
|
---|
8 | #
|
---|
9 | # ====================================================================
|
---|
10 | # Written by Andy Polyakov <[email protected]> for the OpenSSL
|
---|
11 | # project. The module is, however, dual licensed under OpenSSL and
|
---|
12 | # CRYPTOGAMS licenses depending on where you obtain it. For further
|
---|
13 | # details see http://www.openssl.org/~appro/cryptogams/.
|
---|
14 | # ====================================================================
|
---|
15 | #
|
---|
16 | # X25519 lower-level primitives for PPC64.
|
---|
17 | #
|
---|
18 | # July 2018.
|
---|
19 | #
|
---|
20 | # Base 2^64 is faster than base 2^51 on pre-POWER8, most notably ~15%
|
---|
21 | # faster on PPC970/G5. POWER8 on the other hand seems to trip on own
|
---|
22 | # shoelaces when handling longer carry chains. As base 2^51 has just
|
---|
23 | # single-carry pairs, it's 25% faster than base 2^64. Since PPC970 is
|
---|
24 | # pretty old, base 2^64 implementation is not engaged. Comparison to
|
---|
25 | # compiler-generated code is complicated by the fact that not all
|
---|
26 | # compilers support 128-bit integers. When compiler doesn't, like xlc,
|
---|
27 | # this module delivers more than 2x improvement, and when it does,
|
---|
28 | # from 12% to 30% improvement was measured...
|
---|
29 |
|
---|
30 | $flavour = shift;
|
---|
31 | while (($output=shift) && ($output!~/\w[\w\-]*\.\w+$/)) {}
|
---|
32 |
|
---|
33 | $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
|
---|
34 | ( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
|
---|
35 | ( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
|
---|
36 | die "can't locate ppc-xlate.pl";
|
---|
37 |
|
---|
38 | open OUT,"| \"$^X\" $xlate $flavour $output";
|
---|
39 | *STDOUT=*OUT;
|
---|
40 |
|
---|
41 | my $sp = "r1";
|
---|
42 | my ($rp,$ap,$bp) = map("r$_",3..5);
|
---|
43 |
|
---|
44 | ####################################################### base 2^64
|
---|
45 | if (0) {
|
---|
46 | my ($bi,$a0,$a1,$a2,$a3,$t0,$t1, $t2,$t3,
|
---|
47 | $acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7) =
|
---|
48 | map("r$_",(6..12,22..31));
|
---|
49 | my $zero = "r0";
|
---|
50 | my $FRAME = 16*8;
|
---|
51 |
|
---|
52 | $code.=<<___;
|
---|
53 | .text
|
---|
54 |
|
---|
55 | .globl x25519_fe64_mul
|
---|
56 | .type x25519_fe64_mul,\@function
|
---|
57 | .align 5
|
---|
58 | x25519_fe64_mul:
|
---|
59 | stdu $sp,-$FRAME($sp)
|
---|
60 | std r22,`$FRAME-8*10`($sp)
|
---|
61 | std r23,`$FRAME-8*9`($sp)
|
---|
62 | std r24,`$FRAME-8*8`($sp)
|
---|
63 | std r25,`$FRAME-8*7`($sp)
|
---|
64 | std r26,`$FRAME-8*6`($sp)
|
---|
65 | std r27,`$FRAME-8*5`($sp)
|
---|
66 | std r28,`$FRAME-8*4`($sp)
|
---|
67 | std r29,`$FRAME-8*3`($sp)
|
---|
68 | std r30,`$FRAME-8*2`($sp)
|
---|
69 | std r31,`$FRAME-8*1`($sp)
|
---|
70 |
|
---|
71 | ld $bi,0($bp)
|
---|
72 | ld $a0,0($ap)
|
---|
73 | xor $zero,$zero,$zero
|
---|
74 | ld $a1,8($ap)
|
---|
75 | ld $a2,16($ap)
|
---|
76 | ld $a3,24($ap)
|
---|
77 |
|
---|
78 | mulld $acc0,$a0,$bi # a[0]*b[0]
|
---|
79 | mulhdu $t0,$a0,$bi
|
---|
80 | mulld $acc1,$a1,$bi # a[1]*b[0]
|
---|
81 | mulhdu $t1,$a1,$bi
|
---|
82 | mulld $acc2,$a2,$bi # a[2]*b[0]
|
---|
83 | mulhdu $t2,$a2,$bi
|
---|
84 | mulld $acc3,$a3,$bi # a[3]*b[0]
|
---|
85 | mulhdu $t3,$a3,$bi
|
---|
86 | ___
|
---|
87 | for(my @acc=($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7),
|
---|
88 | my $i=1; $i<4; shift(@acc), $i++) {
|
---|
89 | my $acc4 = $i==1? $zero : @acc[4];
|
---|
90 |
|
---|
91 | $code.=<<___;
|
---|
92 | ld $bi,`8*$i`($bp)
|
---|
93 | addc @acc[1],@acc[1],$t0 # accumulate high parts
|
---|
94 | mulld $t0,$a0,$bi
|
---|
95 | adde @acc[2],@acc[2],$t1
|
---|
96 | mulld $t1,$a1,$bi
|
---|
97 | adde @acc[3],@acc[3],$t2
|
---|
98 | mulld $t2,$a2,$bi
|
---|
99 | adde @acc[4],$acc4,$t3
|
---|
100 | mulld $t3,$a3,$bi
|
---|
101 | addc @acc[1],@acc[1],$t0 # accumulate low parts
|
---|
102 | mulhdu $t0,$a0,$bi
|
---|
103 | adde @acc[2],@acc[2],$t1
|
---|
104 | mulhdu $t1,$a1,$bi
|
---|
105 | adde @acc[3],@acc[3],$t2
|
---|
106 | mulhdu $t2,$a2,$bi
|
---|
107 | adde @acc[4],@acc[4],$t3
|
---|
108 | mulhdu $t3,$a3,$bi
|
---|
109 | adde @acc[5],$zero,$zero
|
---|
110 | ___
|
---|
111 | }
|
---|
112 | $code.=<<___;
|
---|
113 | li $bi,38
|
---|
114 | addc $acc4,$acc4,$t0
|
---|
115 | mulld $t0,$acc4,$bi
|
---|
116 | adde $acc5,$acc5,$t1
|
---|
117 | mulld $t1,$acc5,$bi
|
---|
118 | adde $acc6,$acc6,$t2
|
---|
119 | mulld $t2,$acc6,$bi
|
---|
120 | adde $acc7,$acc7,$t3
|
---|
121 | mulld $t3,$acc7,$bi
|
---|
122 |
|
---|
123 | addc $acc0,$acc0,$t0
|
---|
124 | mulhdu $t0,$acc4,$bi
|
---|
125 | adde $acc1,$acc1,$t1
|
---|
126 | mulhdu $t1,$acc5,$bi
|
---|
127 | adde $acc2,$acc2,$t2
|
---|
128 | mulhdu $t2,$acc6,$bi
|
---|
129 | adde $acc3,$acc3,$t3
|
---|
130 | mulhdu $t3,$acc7,$bi
|
---|
131 | adde $acc4,$zero,$zero
|
---|
132 |
|
---|
133 | addc $acc1,$acc1,$t0
|
---|
134 | adde $acc2,$acc2,$t1
|
---|
135 | adde $acc3,$acc3,$t2
|
---|
136 | adde $acc4,$acc4,$t3
|
---|
137 |
|
---|
138 | mulld $acc4,$acc4,$bi
|
---|
139 |
|
---|
140 | addc $acc0,$acc0,$acc4
|
---|
141 | addze $acc1,$acc1
|
---|
142 | addze $acc2,$acc2
|
---|
143 | addze $acc3,$acc3
|
---|
144 |
|
---|
145 | subfe $acc4,$acc4,$acc4 # carry -> ~mask
|
---|
146 | std $acc1,8($rp)
|
---|
147 | andc $acc4,$bi,$acc4
|
---|
148 | std $acc2,16($rp)
|
---|
149 | add $acc0,$acc0,$acc4
|
---|
150 | std $acc3,24($rp)
|
---|
151 | std $acc0,0($rp)
|
---|
152 |
|
---|
153 | ld r22,`$FRAME-8*10`($sp)
|
---|
154 | ld r23,`$FRAME-8*9`($sp)
|
---|
155 | ld r24,`$FRAME-8*8`($sp)
|
---|
156 | ld r25,`$FRAME-8*7`($sp)
|
---|
157 | ld r26,`$FRAME-8*6`($sp)
|
---|
158 | ld r27,`$FRAME-8*5`($sp)
|
---|
159 | ld r28,`$FRAME-8*4`($sp)
|
---|
160 | ld r29,`$FRAME-8*3`($sp)
|
---|
161 | ld r30,`$FRAME-8*2`($sp)
|
---|
162 | ld r31,`$FRAME-8*1`($sp)
|
---|
163 | addi $sp,$sp,$FRAME
|
---|
164 | blr
|
---|
165 | .long 0
|
---|
166 | .byte 0,12,4,0,0x80,10,3,0
|
---|
167 | .long 0
|
---|
168 | .size x25519_fe64_mul,.-x25519_fe64_mul
|
---|
169 |
|
---|
170 | .globl x25519_fe64_sqr
|
---|
171 | .type x25519_fe64_sqr,\@function
|
---|
172 | .align 5
|
---|
173 | x25519_fe64_sqr:
|
---|
174 | stdu $sp,-$FRAME($sp)
|
---|
175 | std r22,`$FRAME-8*10`($sp)
|
---|
176 | std r23,`$FRAME-8*9`($sp)
|
---|
177 | std r24,`$FRAME-8*8`($sp)
|
---|
178 | std r25,`$FRAME-8*7`($sp)
|
---|
179 | std r26,`$FRAME-8*6`($sp)
|
---|
180 | std r27,`$FRAME-8*5`($sp)
|
---|
181 | std r28,`$FRAME-8*4`($sp)
|
---|
182 | std r29,`$FRAME-8*3`($sp)
|
---|
183 | std r30,`$FRAME-8*2`($sp)
|
---|
184 | std r31,`$FRAME-8*1`($sp)
|
---|
185 |
|
---|
186 | ld $a0,0($ap)
|
---|
187 | xor $zero,$zero,$zero
|
---|
188 | ld $a1,8($ap)
|
---|
189 | ld $a2,16($ap)
|
---|
190 | ld $a3,24($ap)
|
---|
191 |
|
---|
192 | ################################
|
---|
193 | # | | | | | |a1*a0| |
|
---|
194 | # | | | | |a2*a0| | |
|
---|
195 | # | |a3*a2|a3*a0| | | |
|
---|
196 | # | | | |a2*a1| | | |
|
---|
197 | # | | |a3*a1| | | | |
|
---|
198 | # *| | | | | | | | 2|
|
---|
199 | # +|a3*a3|a2*a2|a1*a1|a0*a0|
|
---|
200 | # |--+--+--+--+--+--+--+--|
|
---|
201 | # |A7|A6|A5|A4|A3|A2|A1|A0|, where Ax is $accx, i.e. follow $accx
|
---|
202 | #
|
---|
203 | # "can't overflow" below mark carrying into high part of
|
---|
204 | # multiplication result, which can't overflow, because it
|
---|
205 | # can never be all ones.
|
---|
206 |
|
---|
207 | mulld $acc1,$a1,$a0 # a[1]*a[0]
|
---|
208 | mulhdu $t1,$a1,$a0
|
---|
209 | mulld $acc2,$a2,$a0 # a[2]*a[0]
|
---|
210 | mulhdu $t2,$a2,$a0
|
---|
211 | mulld $acc3,$a3,$a0 # a[3]*a[0]
|
---|
212 | mulhdu $acc4,$a3,$a0
|
---|
213 |
|
---|
214 | addc $acc2,$acc2,$t1 # accumulate high parts of multiplication
|
---|
215 | mulld $t0,$a2,$a1 # a[2]*a[1]
|
---|
216 | mulhdu $t1,$a2,$a1
|
---|
217 | adde $acc3,$acc3,$t2
|
---|
218 | mulld $t2,$a3,$a1 # a[3]*a[1]
|
---|
219 | mulhdu $t3,$a3,$a1
|
---|
220 | addze $acc4,$acc4 # can't overflow
|
---|
221 |
|
---|
222 | mulld $acc5,$a3,$a2 # a[3]*a[2]
|
---|
223 | mulhdu $acc6,$a3,$a2
|
---|
224 |
|
---|
225 | addc $t1,$t1,$t2 # accumulate high parts of multiplication
|
---|
226 | mulld $acc0,$a0,$a0 # a[0]*a[0]
|
---|
227 | addze $t2,$t3 # can't overflow
|
---|
228 |
|
---|
229 | addc $acc3,$acc3,$t0 # accumulate low parts of multiplication
|
---|
230 | mulhdu $a0,$a0,$a0
|
---|
231 | adde $acc4,$acc4,$t1
|
---|
232 | mulld $t1,$a1,$a1 # a[1]*a[1]
|
---|
233 | adde $acc5,$acc5,$t2
|
---|
234 | mulhdu $a1,$a1,$a1
|
---|
235 | addze $acc6,$acc6 # can't overflow
|
---|
236 |
|
---|
237 | addc $acc1,$acc1,$acc1 # acc[1-6]*=2
|
---|
238 | mulld $t2,$a2,$a2 # a[2]*a[2]
|
---|
239 | adde $acc2,$acc2,$acc2
|
---|
240 | mulhdu $a2,$a2,$a2
|
---|
241 | adde $acc3,$acc3,$acc3
|
---|
242 | mulld $t3,$a3,$a3 # a[3]*a[3]
|
---|
243 | adde $acc4,$acc4,$acc4
|
---|
244 | mulhdu $a3,$a3,$a3
|
---|
245 | adde $acc5,$acc5,$acc5
|
---|
246 | adde $acc6,$acc6,$acc6
|
---|
247 | addze $acc7,$zero
|
---|
248 |
|
---|
249 | addc $acc1,$acc1,$a0 # +a[i]*a[i]
|
---|
250 | li $bi,38
|
---|
251 | adde $acc2,$acc2,$t1
|
---|
252 | adde $acc3,$acc3,$a1
|
---|
253 | adde $acc4,$acc4,$t2
|
---|
254 | adde $acc5,$acc5,$a2
|
---|
255 | adde $acc6,$acc6,$t3
|
---|
256 | adde $acc7,$acc7,$a3
|
---|
257 |
|
---|
258 | mulld $t0,$acc4,$bi
|
---|
259 | mulld $t1,$acc5,$bi
|
---|
260 | mulld $t2,$acc6,$bi
|
---|
261 | mulld $t3,$acc7,$bi
|
---|
262 |
|
---|
263 | addc $acc0,$acc0,$t0
|
---|
264 | mulhdu $t0,$acc4,$bi
|
---|
265 | adde $acc1,$acc1,$t1
|
---|
266 | mulhdu $t1,$acc5,$bi
|
---|
267 | adde $acc2,$acc2,$t2
|
---|
268 | mulhdu $t2,$acc6,$bi
|
---|
269 | adde $acc3,$acc3,$t3
|
---|
270 | mulhdu $t3,$acc7,$bi
|
---|
271 | addze $acc4,$zero
|
---|
272 |
|
---|
273 | addc $acc1,$acc1,$t0
|
---|
274 | adde $acc2,$acc2,$t1
|
---|
275 | adde $acc3,$acc3,$t2
|
---|
276 | adde $acc4,$acc4,$t3
|
---|
277 |
|
---|
278 | mulld $acc4,$acc4,$bi
|
---|
279 |
|
---|
280 | addc $acc0,$acc0,$acc4
|
---|
281 | addze $acc1,$acc1
|
---|
282 | addze $acc2,$acc2
|
---|
283 | addze $acc3,$acc3
|
---|
284 |
|
---|
285 | subfe $acc4,$acc4,$acc4 # carry -> ~mask
|
---|
286 | std $acc1,8($rp)
|
---|
287 | andc $acc4,$bi,$acc4
|
---|
288 | std $acc2,16($rp)
|
---|
289 | add $acc0,$acc0,$acc4
|
---|
290 | std $acc3,24($rp)
|
---|
291 | std $acc0,0($rp)
|
---|
292 |
|
---|
293 | ld r22,`$FRAME-8*10`($sp)
|
---|
294 | ld r23,`$FRAME-8*9`($sp)
|
---|
295 | ld r24,`$FRAME-8*8`($sp)
|
---|
296 | ld r25,`$FRAME-8*7`($sp)
|
---|
297 | ld r26,`$FRAME-8*6`($sp)
|
---|
298 | ld r27,`$FRAME-8*5`($sp)
|
---|
299 | ld r28,`$FRAME-8*4`($sp)
|
---|
300 | ld r29,`$FRAME-8*3`($sp)
|
---|
301 | ld r30,`$FRAME-8*2`($sp)
|
---|
302 | ld r31,`$FRAME-8*1`($sp)
|
---|
303 | addi $sp,$sp,$FRAME
|
---|
304 | blr
|
---|
305 | .long 0
|
---|
306 | .byte 0,12,4,0,0x80,10,2,0
|
---|
307 | .long 0
|
---|
308 | .size x25519_fe64_sqr,.-x25519_fe64_sqr
|
---|
309 |
|
---|
310 | .globl x25519_fe64_mul121666
|
---|
311 | .type x25519_fe64_mul121666,\@function
|
---|
312 | .align 5
|
---|
313 | x25519_fe64_mul121666:
|
---|
314 | lis $bi,`65536>>16`
|
---|
315 | ori $bi,$bi,`121666-65536`
|
---|
316 |
|
---|
317 | ld $t0,0($ap)
|
---|
318 | ld $t1,8($ap)
|
---|
319 | ld $bp,16($ap)
|
---|
320 | ld $ap,24($ap)
|
---|
321 |
|
---|
322 | mulld $a0,$t0,$bi
|
---|
323 | mulhdu $t0,$t0,$bi
|
---|
324 | mulld $a1,$t1,$bi
|
---|
325 | mulhdu $t1,$t1,$bi
|
---|
326 | mulld $a2,$bp,$bi
|
---|
327 | mulhdu $bp,$bp,$bi
|
---|
328 | mulld $a3,$ap,$bi
|
---|
329 | mulhdu $ap,$ap,$bi
|
---|
330 |
|
---|
331 | addc $a1,$a1,$t0
|
---|
332 | adde $a2,$a2,$t1
|
---|
333 | adde $a3,$a3,$bp
|
---|
334 | addze $ap, $ap
|
---|
335 |
|
---|
336 | mulli $ap,$ap,38
|
---|
337 |
|
---|
338 | addc $a0,$a0,$ap
|
---|
339 | addze $a1,$a1
|
---|
340 | addze $a2,$a2
|
---|
341 | addze $a3,$a3
|
---|
342 |
|
---|
343 | subfe $t1,$t1,$t1 # carry -> ~mask
|
---|
344 | std $a1,8($rp)
|
---|
345 | andc $t0,$t0,$t1
|
---|
346 | std $a2,16($rp)
|
---|
347 | add $a0,$a0,$t0
|
---|
348 | std $a3,24($rp)
|
---|
349 | std $a0,0($rp)
|
---|
350 |
|
---|
351 | blr
|
---|
352 | .long 0
|
---|
353 | .byte 0,12,0x14,0,0,0,2,0
|
---|
354 | .long 0
|
---|
355 | .size x25519_fe64_mul121666,.-x25519_fe64_mul121666
|
---|
356 |
|
---|
357 | .globl x25519_fe64_add
|
---|
358 | .type x25519_fe64_add,\@function
|
---|
359 | .align 5
|
---|
360 | x25519_fe64_add:
|
---|
361 | ld $a0,0($ap)
|
---|
362 | ld $t0,0($bp)
|
---|
363 | ld $a1,8($ap)
|
---|
364 | ld $t1,8($bp)
|
---|
365 | ld $a2,16($ap)
|
---|
366 | ld $bi,16($bp)
|
---|
367 | ld $a3,24($ap)
|
---|
368 | ld $bp,24($bp)
|
---|
369 |
|
---|
370 | addc $a0,$a0,$t0
|
---|
371 | adde $a1,$a1,$t1
|
---|
372 | adde $a2,$a2,$bi
|
---|
373 | adde $a3,$a3,$bp
|
---|
374 |
|
---|
375 | li $t0,38
|
---|
376 | subfe $t1,$t1,$t1 # carry -> ~mask
|
---|
377 | andc $t1,$t0,$t1
|
---|
378 |
|
---|
379 | addc $a0,$a0,$t1
|
---|
380 | addze $a1,$a1
|
---|
381 | addze $a2,$a2
|
---|
382 | addze $a3,$a3
|
---|
383 |
|
---|
384 | subfe $t1,$t1,$t1 # carry -> ~mask
|
---|
385 | std $a1,8($rp)
|
---|
386 | andc $t0,$t0,$t1
|
---|
387 | std $a2,16($rp)
|
---|
388 | add $a0,$a0,$t0
|
---|
389 | std $a3,24($rp)
|
---|
390 | std $a0,0($rp)
|
---|
391 |
|
---|
392 | blr
|
---|
393 | .long 0
|
---|
394 | .byte 0,12,0x14,0,0,0,3,0
|
---|
395 | .long 0
|
---|
396 | .size x25519_fe64_add,.-x25519_fe64_add
|
---|
397 |
|
---|
398 | .globl x25519_fe64_sub
|
---|
399 | .type x25519_fe64_sub,\@function
|
---|
400 | .align 5
|
---|
401 | x25519_fe64_sub:
|
---|
402 | ld $a0,0($ap)
|
---|
403 | ld $t0,0($bp)
|
---|
404 | ld $a1,8($ap)
|
---|
405 | ld $t1,8($bp)
|
---|
406 | ld $a2,16($ap)
|
---|
407 | ld $bi,16($bp)
|
---|
408 | ld $a3,24($ap)
|
---|
409 | ld $bp,24($bp)
|
---|
410 |
|
---|
411 | subfc $a0,$t0,$a0
|
---|
412 | subfe $a1,$t1,$a1
|
---|
413 | subfe $a2,$bi,$a2
|
---|
414 | subfe $a3,$bp,$a3
|
---|
415 |
|
---|
416 | li $t0,38
|
---|
417 | subfe $t1,$t1,$t1 # borrow -> mask
|
---|
418 | xor $zero,$zero,$zero
|
---|
419 | and $t1,$t0,$t1
|
---|
420 |
|
---|
421 | subfc $a0,$t1,$a0
|
---|
422 | subfe $a1,$zero,$a1
|
---|
423 | subfe $a2,$zero,$a2
|
---|
424 | subfe $a3,$zero,$a3
|
---|
425 |
|
---|
426 | subfe $t1,$t1,$t1 # borrow -> mask
|
---|
427 | std $a1,8($rp)
|
---|
428 | and $t0,$t0,$t1
|
---|
429 | std $a2,16($rp)
|
---|
430 | subf $a0,$t0,$a0
|
---|
431 | std $a3,24($rp)
|
---|
432 | std $a0,0($rp)
|
---|
433 |
|
---|
434 | blr
|
---|
435 | .long 0
|
---|
436 | .byte 0,12,0x14,0,0,0,3,0
|
---|
437 | .long 0
|
---|
438 | .size x25519_fe64_sub,.-x25519_fe64_sub
|
---|
439 |
|
---|
440 | .globl x25519_fe64_tobytes
|
---|
441 | .type x25519_fe64_tobytes,\@function
|
---|
442 | .align 5
|
---|
443 | x25519_fe64_tobytes:
|
---|
444 | ld $a3,24($ap)
|
---|
445 | ld $a0,0($ap)
|
---|
446 | ld $a1,8($ap)
|
---|
447 | ld $a2,16($ap)
|
---|
448 |
|
---|
449 | sradi $t0,$a3,63 # most significant bit -> mask
|
---|
450 | li $t1,19
|
---|
451 | and $t0,$t0,$t1
|
---|
452 | sldi $a3,$a3,1
|
---|
453 | add $t0,$t0,$t1 # compare to modulus in the same go
|
---|
454 | srdi $a3,$a3,1 # most significant bit cleared
|
---|
455 |
|
---|
456 | addc $a0,$a0,$t0
|
---|
457 | addze $a1,$a1
|
---|
458 | addze $a2,$a2
|
---|
459 | addze $a3,$a3
|
---|
460 |
|
---|
461 | xor $zero,$zero,$zero
|
---|
462 | sradi $t0,$a3,63 # most significant bit -> mask
|
---|
463 | sldi $a3,$a3,1
|
---|
464 | andc $t0,$t1,$t0
|
---|
465 | srdi $a3,$a3,1 # most significant bit cleared
|
---|
466 |
|
---|
467 | subi $rp,$rp,1
|
---|
468 | subfc $a0,$t0,$a0
|
---|
469 | subfe $a1,$zero,$a1
|
---|
470 | subfe $a2,$zero,$a2
|
---|
471 | subfe $a3,$zero,$a3
|
---|
472 |
|
---|
473 | ___
|
---|
474 | for (my @a=($a0,$a1,$a2,$a3), my $i=0; $i<4; shift(@a), $i++) {
|
---|
475 | $code.=<<___;
|
---|
476 | srdi $t0,@a[0],8
|
---|
477 | stbu @a[0],1($rp)
|
---|
478 | srdi @a[0],@a[0],16
|
---|
479 | stbu $t0,1($rp)
|
---|
480 | srdi $t0,@a[0],8
|
---|
481 | stbu @a[0],1($rp)
|
---|
482 | srdi @a[0],@a[0],16
|
---|
483 | stbu $t0,1($rp)
|
---|
484 | srdi $t0,@a[0],8
|
---|
485 | stbu @a[0],1($rp)
|
---|
486 | srdi @a[0],@a[0],16
|
---|
487 | stbu $t0,1($rp)
|
---|
488 | srdi $t0,@a[0],8
|
---|
489 | stbu @a[0],1($rp)
|
---|
490 | stbu $t0,1($rp)
|
---|
491 | ___
|
---|
492 | }
|
---|
493 | $code.=<<___;
|
---|
494 | blr
|
---|
495 | .long 0
|
---|
496 | .byte 0,12,0x14,0,0,0,2,0
|
---|
497 | .long 0
|
---|
498 | .size x25519_fe64_tobytes,.-x25519_fe64_tobytes
|
---|
499 | ___
|
---|
500 | }
|
---|
501 | ####################################################### base 2^51
|
---|
502 | {
|
---|
503 | my ($bi,$a0,$a1,$a2,$a3,$a4,$t0, $t1,
|
---|
504 | $h0lo,$h0hi,$h1lo,$h1hi,$h2lo,$h2hi,$h3lo,$h3hi,$h4lo,$h4hi) =
|
---|
505 | map("r$_",(6..12,21..31));
|
---|
506 | my $mask = "r0";
|
---|
507 | my $FRAME = 18*8;
|
---|
508 |
|
---|
509 | $code.=<<___;
|
---|
510 | .text
|
---|
511 |
|
---|
512 | .globl x25519_fe51_mul
|
---|
513 | .type x25519_fe51_mul,\@function
|
---|
514 | .align 5
|
---|
515 | x25519_fe51_mul:
|
---|
516 | stdu $sp,-$FRAME($sp)
|
---|
517 | std r21,`$FRAME-8*11`($sp)
|
---|
518 | std r22,`$FRAME-8*10`($sp)
|
---|
519 | std r23,`$FRAME-8*9`($sp)
|
---|
520 | std r24,`$FRAME-8*8`($sp)
|
---|
521 | std r25,`$FRAME-8*7`($sp)
|
---|
522 | std r26,`$FRAME-8*6`($sp)
|
---|
523 | std r27,`$FRAME-8*5`($sp)
|
---|
524 | std r28,`$FRAME-8*4`($sp)
|
---|
525 | std r29,`$FRAME-8*3`($sp)
|
---|
526 | std r30,`$FRAME-8*2`($sp)
|
---|
527 | std r31,`$FRAME-8*1`($sp)
|
---|
528 |
|
---|
529 | ld $bi,0($bp)
|
---|
530 | ld $a0,0($ap)
|
---|
531 | ld $a1,8($ap)
|
---|
532 | ld $a2,16($ap)
|
---|
533 | ld $a3,24($ap)
|
---|
534 | ld $a4,32($ap)
|
---|
535 |
|
---|
536 | mulld $h0lo,$a0,$bi # a[0]*b[0]
|
---|
537 | mulhdu $h0hi,$a0,$bi
|
---|
538 |
|
---|
539 | mulld $h1lo,$a1,$bi # a[1]*b[0]
|
---|
540 | mulhdu $h1hi,$a1,$bi
|
---|
541 |
|
---|
542 | mulld $h4lo,$a4,$bi # a[4]*b[0]
|
---|
543 | mulhdu $h4hi,$a4,$bi
|
---|
544 | ld $ap,8($bp)
|
---|
545 | mulli $a4,$a4,19
|
---|
546 |
|
---|
547 | mulld $h2lo,$a2,$bi # a[2]*b[0]
|
---|
548 | mulhdu $h2hi,$a2,$bi
|
---|
549 |
|
---|
550 | mulld $h3lo,$a3,$bi # a[3]*b[0]
|
---|
551 | mulhdu $h3hi,$a3,$bi
|
---|
552 | ___
|
---|
553 | for(my @a=($a0,$a1,$a2,$a3,$a4),
|
---|
554 | my $i=1; $i<4; $i++) {
|
---|
555 | ($ap,$bi) = ($bi,$ap);
|
---|
556 | $code.=<<___;
|
---|
557 | mulld $t0,@a[4],$bi
|
---|
558 | mulhdu $t1,@a[4],$bi
|
---|
559 | addc $h0lo,$h0lo,$t0
|
---|
560 | adde $h0hi,$h0hi,$t1
|
---|
561 |
|
---|
562 | mulld $t0,@a[0],$bi
|
---|
563 | mulhdu $t1,@a[0],$bi
|
---|
564 | addc $h1lo,$h1lo,$t0
|
---|
565 | adde $h1hi,$h1hi,$t1
|
---|
566 |
|
---|
567 | mulld $t0,@a[3],$bi
|
---|
568 | mulhdu $t1,@a[3],$bi
|
---|
569 | ld $ap,`8*($i+1)`($bp)
|
---|
570 | mulli @a[3],@a[3],19
|
---|
571 | addc $h4lo,$h4lo,$t0
|
---|
572 | adde $h4hi,$h4hi,$t1
|
---|
573 |
|
---|
574 | mulld $t0,@a[1],$bi
|
---|
575 | mulhdu $t1,@a[1],$bi
|
---|
576 | addc $h2lo,$h2lo,$t0
|
---|
577 | adde $h2hi,$h2hi,$t1
|
---|
578 |
|
---|
579 | mulld $t0,@a[2],$bi
|
---|
580 | mulhdu $t1,@a[2],$bi
|
---|
581 | addc $h3lo,$h3lo,$t0
|
---|
582 | adde $h3hi,$h3hi,$t1
|
---|
583 | ___
|
---|
584 | unshift(@a,pop(@a));
|
---|
585 | }
|
---|
586 | ($ap,$bi) = ($bi,$ap);
|
---|
587 | $code.=<<___;
|
---|
588 | mulld $t0,$a1,$bi
|
---|
589 | mulhdu $t1,$a1,$bi
|
---|
590 | addc $h0lo,$h0lo,$t0
|
---|
591 | adde $h0hi,$h0hi,$t1
|
---|
592 |
|
---|
593 | mulld $t0,$a2,$bi
|
---|
594 | mulhdu $t1,$a2,$bi
|
---|
595 | addc $h1lo,$h1lo,$t0
|
---|
596 | adde $h1hi,$h1hi,$t1
|
---|
597 |
|
---|
598 | mulld $t0,$a3,$bi
|
---|
599 | mulhdu $t1,$a3,$bi
|
---|
600 | addc $h2lo,$h2lo,$t0
|
---|
601 | adde $h2hi,$h2hi,$t1
|
---|
602 |
|
---|
603 | mulld $t0,$a4,$bi
|
---|
604 | mulhdu $t1,$a4,$bi
|
---|
605 | addc $h3lo,$h3lo,$t0
|
---|
606 | adde $h3hi,$h3hi,$t1
|
---|
607 |
|
---|
608 | mulld $t0,$a0,$bi
|
---|
609 | mulhdu $t1,$a0,$bi
|
---|
610 | addc $h4lo,$h4lo,$t0
|
---|
611 | adde $h4hi,$h4hi,$t1
|
---|
612 |
|
---|
613 | .Lfe51_reduce:
|
---|
614 | li $mask,-1
|
---|
615 | srdi $mask,$mask,13 # 0x7ffffffffffff
|
---|
616 |
|
---|
617 | srdi $t0,$h2lo,51
|
---|
618 | and $a2,$h2lo,$mask
|
---|
619 | insrdi $t0,$h2hi,51,0 # h2>>51
|
---|
620 | srdi $t1,$h0lo,51
|
---|
621 | and $a0,$h0lo,$mask
|
---|
622 | insrdi $t1,$h0hi,51,0 # h0>>51
|
---|
623 | addc $h3lo,$h3lo,$t0
|
---|
624 | addze $h3hi,$h3hi
|
---|
625 | addc $h1lo,$h1lo,$t1
|
---|
626 | addze $h1hi,$h1hi
|
---|
627 |
|
---|
628 | srdi $t0,$h3lo,51
|
---|
629 | and $a3,$h3lo,$mask
|
---|
630 | insrdi $t0,$h3hi,51,0 # h3>>51
|
---|
631 | srdi $t1,$h1lo,51
|
---|
632 | and $a1,$h1lo,$mask
|
---|
633 | insrdi $t1,$h1hi,51,0 # h1>>51
|
---|
634 | addc $h4lo,$h4lo,$t0
|
---|
635 | addze $h4hi,$h4hi
|
---|
636 | add $a2,$a2,$t1
|
---|
637 |
|
---|
638 | srdi $t0,$h4lo,51
|
---|
639 | and $a4,$h4lo,$mask
|
---|
640 | insrdi $t0,$h4hi,51,0
|
---|
641 | mulli $t0,$t0,19 # (h4 >> 51) * 19
|
---|
642 |
|
---|
643 | add $a0,$a0,$t0
|
---|
644 |
|
---|
645 | srdi $t1,$a2,51
|
---|
646 | and $a2,$a2,$mask
|
---|
647 | add $a3,$a3,$t1
|
---|
648 |
|
---|
649 | srdi $t0,$a0,51
|
---|
650 | and $a0,$a0,$mask
|
---|
651 | add $a1,$a1,$t0
|
---|
652 |
|
---|
653 | std $a2,16($rp)
|
---|
654 | std $a3,24($rp)
|
---|
655 | std $a4,32($rp)
|
---|
656 | std $a0,0($rp)
|
---|
657 | std $a1,8($rp)
|
---|
658 |
|
---|
659 | ld r21,`$FRAME-8*11`($sp)
|
---|
660 | ld r22,`$FRAME-8*10`($sp)
|
---|
661 | ld r23,`$FRAME-8*9`($sp)
|
---|
662 | ld r24,`$FRAME-8*8`($sp)
|
---|
663 | ld r25,`$FRAME-8*7`($sp)
|
---|
664 | ld r26,`$FRAME-8*6`($sp)
|
---|
665 | ld r27,`$FRAME-8*5`($sp)
|
---|
666 | ld r28,`$FRAME-8*4`($sp)
|
---|
667 | ld r29,`$FRAME-8*3`($sp)
|
---|
668 | ld r30,`$FRAME-8*2`($sp)
|
---|
669 | ld r31,`$FRAME-8*1`($sp)
|
---|
670 | addi $sp,$sp,$FRAME
|
---|
671 | blr
|
---|
672 | .long 0
|
---|
673 | .byte 0,12,4,0,0x80,11,3,0
|
---|
674 | .long 0
|
---|
675 | .size x25519_fe51_mul,.-x25519_fe51_mul
|
---|
676 | ___
|
---|
677 | {
|
---|
678 | my ($a0,$a1,$a2,$a3,$a4,$t0,$t1) = ($a0,$a1,$a2,$a3,$a4,$t0,$t1);
|
---|
679 | $code.=<<___;
|
---|
680 | .globl x25519_fe51_sqr
|
---|
681 | .type x25519_fe51_sqr,\@function
|
---|
682 | .align 5
|
---|
683 | x25519_fe51_sqr:
|
---|
684 | stdu $sp,-$FRAME($sp)
|
---|
685 | std r21,`$FRAME-8*11`($sp)
|
---|
686 | std r22,`$FRAME-8*10`($sp)
|
---|
687 | std r23,`$FRAME-8*9`($sp)
|
---|
688 | std r24,`$FRAME-8*8`($sp)
|
---|
689 | std r25,`$FRAME-8*7`($sp)
|
---|
690 | std r26,`$FRAME-8*6`($sp)
|
---|
691 | std r27,`$FRAME-8*5`($sp)
|
---|
692 | std r28,`$FRAME-8*4`($sp)
|
---|
693 | std r29,`$FRAME-8*3`($sp)
|
---|
694 | std r30,`$FRAME-8*2`($sp)
|
---|
695 | std r31,`$FRAME-8*1`($sp)
|
---|
696 |
|
---|
697 | ld $a0,0($ap)
|
---|
698 | ld $a1,8($ap)
|
---|
699 | ld $a2,16($ap)
|
---|
700 | ld $a3,24($ap)
|
---|
701 | ld $a4,32($ap)
|
---|
702 |
|
---|
703 | add $bi,$a0,$a0 # a[0]*2
|
---|
704 | mulli $t1,$a4,19 # a[4]*19
|
---|
705 |
|
---|
706 | mulld $h0lo,$a0,$a0
|
---|
707 | mulhdu $h0hi,$a0,$a0
|
---|
708 | mulld $h1lo,$a1,$bi
|
---|
709 | mulhdu $h1hi,$a1,$bi
|
---|
710 | mulld $h2lo,$a2,$bi
|
---|
711 | mulhdu $h2hi,$a2,$bi
|
---|
712 | mulld $h3lo,$a3,$bi
|
---|
713 | mulhdu $h3hi,$a3,$bi
|
---|
714 | mulld $h4lo,$a4,$bi
|
---|
715 | mulhdu $h4hi,$a4,$bi
|
---|
716 | add $bi,$a1,$a1 # a[1]*2
|
---|
717 | ___
|
---|
718 | ($a4,$t1) = ($t1,$a4);
|
---|
719 | $code.=<<___;
|
---|
720 | mulld $t0,$t1,$a4
|
---|
721 | mulhdu $t1,$t1,$a4
|
---|
722 | addc $h3lo,$h3lo,$t0
|
---|
723 | adde $h3hi,$h3hi,$t1
|
---|
724 |
|
---|
725 | mulli $bp,$a3,19 # a[3]*19
|
---|
726 |
|
---|
727 | mulld $t0,$a1,$a1
|
---|
728 | mulhdu $t1,$a1,$a1
|
---|
729 | addc $h2lo,$h2lo,$t0
|
---|
730 | adde $h2hi,$h2hi,$t1
|
---|
731 | mulld $t0,$a2,$bi
|
---|
732 | mulhdu $t1,$a2,$bi
|
---|
733 | addc $h3lo,$h3lo,$t0
|
---|
734 | adde $h3hi,$h3hi,$t1
|
---|
735 | mulld $t0,$a3,$bi
|
---|
736 | mulhdu $t1,$a3,$bi
|
---|
737 | addc $h4lo,$h4lo,$t0
|
---|
738 | adde $h4hi,$h4hi,$t1
|
---|
739 | mulld $t0,$a4,$bi
|
---|
740 | mulhdu $t1,$a4,$bi
|
---|
741 | add $bi,$a3,$a3 # a[3]*2
|
---|
742 | addc $h0lo,$h0lo,$t0
|
---|
743 | adde $h0hi,$h0hi,$t1
|
---|
744 | ___
|
---|
745 | ($a3,$t1) = ($bp,$a3);
|
---|
746 | $code.=<<___;
|
---|
747 | mulld $t0,$t1,$a3
|
---|
748 | mulhdu $t1,$t1,$a3
|
---|
749 | addc $h1lo,$h1lo,$t0
|
---|
750 | adde $h1hi,$h1hi,$t1
|
---|
751 | mulld $t0,$bi,$a4
|
---|
752 | mulhdu $t1,$bi,$a4
|
---|
753 | add $bi,$a2,$a2 # a[2]*2
|
---|
754 | addc $h2lo,$h2lo,$t0
|
---|
755 | adde $h2hi,$h2hi,$t1
|
---|
756 |
|
---|
757 | mulld $t0,$a2,$a2
|
---|
758 | mulhdu $t1,$a2,$a2
|
---|
759 | addc $h4lo,$h4lo,$t0
|
---|
760 | adde $h4hi,$h4hi,$t1
|
---|
761 | mulld $t0,$a3,$bi
|
---|
762 | mulhdu $t1,$a3,$bi
|
---|
763 | addc $h0lo,$h0lo,$t0
|
---|
764 | adde $h0hi,$h0hi,$t1
|
---|
765 | mulld $t0,$a4,$bi
|
---|
766 | mulhdu $t1,$a4,$bi
|
---|
767 | addc $h1lo,$h1lo,$t0
|
---|
768 | adde $h1hi,$h1hi,$t1
|
---|
769 |
|
---|
770 | b .Lfe51_reduce
|
---|
771 | .long 0
|
---|
772 | .byte 0,12,4,0,0x80,11,2,0
|
---|
773 | .long 0
|
---|
774 | .size x25519_fe51_sqr,.-x25519_fe51_sqr
|
---|
775 | ___
|
---|
776 | }
|
---|
777 | $code.=<<___;
|
---|
778 | .globl x25519_fe51_mul121666
|
---|
779 | .type x25519_fe51_mul121666,\@function
|
---|
780 | .align 5
|
---|
781 | x25519_fe51_mul121666:
|
---|
782 | stdu $sp,-$FRAME($sp)
|
---|
783 | std r21,`$FRAME-8*11`($sp)
|
---|
784 | std r22,`$FRAME-8*10`($sp)
|
---|
785 | std r23,`$FRAME-8*9`($sp)
|
---|
786 | std r24,`$FRAME-8*8`($sp)
|
---|
787 | std r25,`$FRAME-8*7`($sp)
|
---|
788 | std r26,`$FRAME-8*6`($sp)
|
---|
789 | std r27,`$FRAME-8*5`($sp)
|
---|
790 | std r28,`$FRAME-8*4`($sp)
|
---|
791 | std r29,`$FRAME-8*3`($sp)
|
---|
792 | std r30,`$FRAME-8*2`($sp)
|
---|
793 | std r31,`$FRAME-8*1`($sp)
|
---|
794 |
|
---|
795 | lis $bi,`65536>>16`
|
---|
796 | ori $bi,$bi,`121666-65536`
|
---|
797 | ld $a0,0($ap)
|
---|
798 | ld $a1,8($ap)
|
---|
799 | ld $a2,16($ap)
|
---|
800 | ld $a3,24($ap)
|
---|
801 | ld $a4,32($ap)
|
---|
802 |
|
---|
803 | mulld $h0lo,$a0,$bi # a[0]*121666
|
---|
804 | mulhdu $h0hi,$a0,$bi
|
---|
805 | mulld $h1lo,$a1,$bi # a[1]*121666
|
---|
806 | mulhdu $h1hi,$a1,$bi
|
---|
807 | mulld $h2lo,$a2,$bi # a[2]*121666
|
---|
808 | mulhdu $h2hi,$a2,$bi
|
---|
809 | mulld $h3lo,$a3,$bi # a[3]*121666
|
---|
810 | mulhdu $h3hi,$a3,$bi
|
---|
811 | mulld $h4lo,$a4,$bi # a[4]*121666
|
---|
812 | mulhdu $h4hi,$a4,$bi
|
---|
813 |
|
---|
814 | b .Lfe51_reduce
|
---|
815 | .long 0
|
---|
816 | .byte 0,12,4,0,0x80,11,2,0
|
---|
817 | .long 0
|
---|
818 | .size x25519_fe51_mul121666,.-x25519_fe51_mul121666
|
---|
819 | ___
|
---|
820 | }
|
---|
821 |
|
---|
822 | $code =~ s/\`([^\`]*)\`/eval $1/gem;
|
---|
823 | print $code;
|
---|
824 | close STDOUT or die "error closing STDOUT: $!";
|
---|