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Alexandre Savard1b09e312012-08-07 20:33:29 -04001#!/usr/bin/env perl
2#
3# ====================================================================
4# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
5# project. The module is, however, dual licensed under OpenSSL and
6# CRYPTOGAMS licenses depending on where you obtain it. For further
7# details see http://www.openssl.org/~appro/cryptogams/.
8# ====================================================================
9#
10# April 2010
11#
12# The module implements "4-bit" GCM GHASH function and underlying
13# single multiplication operation in GF(2^128). "4-bit" means that it
14# uses 256 bytes per-key table [+32 bytes shared table]. There is no
15# experimental performance data available yet. The only approximation
16# that can be made at this point is based on code size. Inner loop is
17# 32 instructions long and on single-issue core should execute in <40
18# cycles. Having verified that gcc 3.4 didn't unroll corresponding
19# loop, this assembler loop body was found to be ~3x smaller than
20# compiler-generated one...
21#
22# July 2010
23#
24# Rescheduling for dual-issue pipeline resulted in 8.5% improvement on
25# Cortex A8 core and ~25 cycles per processed byte (which was observed
26# to be ~3 times faster than gcc-generated code:-)
27#
28# February 2011
29#
30# Profiler-assisted and platform-specific optimization resulted in 7%
31# improvement on Cortex A8 core and ~23.5 cycles per byte.
32#
33# March 2011
34#
35# Add NEON implementation featuring polynomial multiplication, i.e. no
36# lookup tables involved. On Cortex A8 it was measured to process one
37# byte in 15 cycles or 55% faster than integer-only code.
38
39# ====================================================================
40# Note about "528B" variant. In ARM case it makes lesser sense to
41# implement it for following reasons:
42#
43# - performance improvement won't be anywhere near 50%, because 128-
44# bit shift operation is neatly fused with 128-bit xor here, and
45# "538B" variant would eliminate only 4-5 instructions out of 32
46# in the inner loop (meaning that estimated improvement is ~15%);
47# - ARM-based systems are often embedded ones and extra memory
48# consumption might be unappreciated (for so little improvement);
49#
50# Byte order [in]dependence. =========================================
51#
52# Caller is expected to maintain specific *dword* order in Htable,
53# namely with *least* significant dword of 128-bit value at *lower*
54# address. This differs completely from C code and has everything to
55# do with ldm instruction and order in which dwords are "consumed" by
56# algorithm. *Byte* order within these dwords in turn is whatever
57# *native* byte order on current platform. See gcm128.c for working
58# example...
59
60while (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {}
61open STDOUT,">$output";
62
63$Xi="r0"; # argument block
64$Htbl="r1";
65$inp="r2";
66$len="r3";
67
68$Zll="r4"; # variables
69$Zlh="r5";
70$Zhl="r6";
71$Zhh="r7";
72$Tll="r8";
73$Tlh="r9";
74$Thl="r10";
75$Thh="r11";
76$nlo="r12";
77################# r13 is stack pointer
78$nhi="r14";
79################# r15 is program counter
80
81$rem_4bit=$inp; # used in gcm_gmult_4bit
82$cnt=$len;
83
84sub Zsmash() {
85 my $i=12;
86 my @args=@_;
87 for ($Zll,$Zlh,$Zhl,$Zhh) {
88 $code.=<<___;
89#if __ARM_ARCH__>=7 && defined(__ARMEL__)
90 rev $_,$_
91 str $_,[$Xi,#$i]
92#elif defined(__ARMEB__)
93 str $_,[$Xi,#$i]
94#else
95 mov $Tlh,$_,lsr#8
96 strb $_,[$Xi,#$i+3]
97 mov $Thl,$_,lsr#16
98 strb $Tlh,[$Xi,#$i+2]
99 mov $Thh,$_,lsr#24
100 strb $Thl,[$Xi,#$i+1]
101 strb $Thh,[$Xi,#$i]
102#endif
103___
104 $code.="\t".shift(@args)."\n";
105 $i-=4;
106 }
107}
108
109$code=<<___;
110#include "arm_arch.h"
111
112.text
113.code 32
114
115.type rem_4bit,%object
116.align 5
117rem_4bit:
118.short 0x0000,0x1C20,0x3840,0x2460
119.short 0x7080,0x6CA0,0x48C0,0x54E0
120.short 0xE100,0xFD20,0xD940,0xC560
121.short 0x9180,0x8DA0,0xA9C0,0xB5E0
122.size rem_4bit,.-rem_4bit
123
124.type rem_4bit_get,%function
125rem_4bit_get:
126 sub $rem_4bit,pc,#8
127 sub $rem_4bit,$rem_4bit,#32 @ &rem_4bit
128 b .Lrem_4bit_got
129 nop
130.size rem_4bit_get,.-rem_4bit_get
131
132.global gcm_ghash_4bit
133.type gcm_ghash_4bit,%function
134gcm_ghash_4bit:
135 sub r12,pc,#8
136 add $len,$inp,$len @ $len to point at the end
137 stmdb sp!,{r3-r11,lr} @ save $len/end too
138 sub r12,r12,#48 @ &rem_4bit
139
140 ldmia r12,{r4-r11} @ copy rem_4bit ...
141 stmdb sp!,{r4-r11} @ ... to stack
142
143 ldrb $nlo,[$inp,#15]
144 ldrb $nhi,[$Xi,#15]
145.Louter:
146 eor $nlo,$nlo,$nhi
147 and $nhi,$nlo,#0xf0
148 and $nlo,$nlo,#0x0f
149 mov $cnt,#14
150
151 add $Zhh,$Htbl,$nlo,lsl#4
152 ldmia $Zhh,{$Zll-$Zhh} @ load Htbl[nlo]
153 add $Thh,$Htbl,$nhi
154 ldrb $nlo,[$inp,#14]
155
156 and $nhi,$Zll,#0xf @ rem
157 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi]
158 add $nhi,$nhi,$nhi
159 eor $Zll,$Tll,$Zll,lsr#4
160 ldrh $Tll,[sp,$nhi] @ rem_4bit[rem]
161 eor $Zll,$Zll,$Zlh,lsl#28
162 ldrb $nhi,[$Xi,#14]
163 eor $Zlh,$Tlh,$Zlh,lsr#4
164 eor $Zlh,$Zlh,$Zhl,lsl#28
165 eor $Zhl,$Thl,$Zhl,lsr#4
166 eor $Zhl,$Zhl,$Zhh,lsl#28
167 eor $Zhh,$Thh,$Zhh,lsr#4
168 eor $nlo,$nlo,$nhi
169 and $nhi,$nlo,#0xf0
170 and $nlo,$nlo,#0x0f
171 eor $Zhh,$Zhh,$Tll,lsl#16
172
173.Linner:
174 add $Thh,$Htbl,$nlo,lsl#4
175 and $nlo,$Zll,#0xf @ rem
176 subs $cnt,$cnt,#1
177 add $nlo,$nlo,$nlo
178 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nlo]
179 eor $Zll,$Tll,$Zll,lsr#4
180 eor $Zll,$Zll,$Zlh,lsl#28
181 eor $Zlh,$Tlh,$Zlh,lsr#4
182 eor $Zlh,$Zlh,$Zhl,lsl#28
183 ldrh $Tll,[sp,$nlo] @ rem_4bit[rem]
184 eor $Zhl,$Thl,$Zhl,lsr#4
185 ldrplb $nlo,[$inp,$cnt]
186 eor $Zhl,$Zhl,$Zhh,lsl#28
187 eor $Zhh,$Thh,$Zhh,lsr#4
188
189 add $Thh,$Htbl,$nhi
190 and $nhi,$Zll,#0xf @ rem
191 eor $Zhh,$Zhh,$Tll,lsl#16 @ ^= rem_4bit[rem]
192 add $nhi,$nhi,$nhi
193 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi]
194 eor $Zll,$Tll,$Zll,lsr#4
195 ldrplb $Tll,[$Xi,$cnt]
196 eor $Zll,$Zll,$Zlh,lsl#28
197 eor $Zlh,$Tlh,$Zlh,lsr#4
198 ldrh $Tlh,[sp,$nhi]
199 eor $Zlh,$Zlh,$Zhl,lsl#28
200 eor $Zhl,$Thl,$Zhl,lsr#4
201 eor $Zhl,$Zhl,$Zhh,lsl#28
202 eorpl $nlo,$nlo,$Tll
203 eor $Zhh,$Thh,$Zhh,lsr#4
204 andpl $nhi,$nlo,#0xf0
205 andpl $nlo,$nlo,#0x0f
206 eor $Zhh,$Zhh,$Tlh,lsl#16 @ ^= rem_4bit[rem]
207 bpl .Linner
208
209 ldr $len,[sp,#32] @ re-load $len/end
210 add $inp,$inp,#16
211 mov $nhi,$Zll
212___
213 &Zsmash("cmp\t$inp,$len","ldrneb\t$nlo,[$inp,#15]");
214$code.=<<___;
215 bne .Louter
216
217 add sp,sp,#36
218#if __ARM_ARCH__>=5
219 ldmia sp!,{r4-r11,pc}
220#else
221 ldmia sp!,{r4-r11,lr}
222 tst lr,#1
223 moveq pc,lr @ be binary compatible with V4, yet
224 bx lr @ interoperable with Thumb ISA:-)
225#endif
226.size gcm_ghash_4bit,.-gcm_ghash_4bit
227
228.global gcm_gmult_4bit
229.type gcm_gmult_4bit,%function
230gcm_gmult_4bit:
231 stmdb sp!,{r4-r11,lr}
232 ldrb $nlo,[$Xi,#15]
233 b rem_4bit_get
234.Lrem_4bit_got:
235 and $nhi,$nlo,#0xf0
236 and $nlo,$nlo,#0x0f
237 mov $cnt,#14
238
239 add $Zhh,$Htbl,$nlo,lsl#4
240 ldmia $Zhh,{$Zll-$Zhh} @ load Htbl[nlo]
241 ldrb $nlo,[$Xi,#14]
242
243 add $Thh,$Htbl,$nhi
244 and $nhi,$Zll,#0xf @ rem
245 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi]
246 add $nhi,$nhi,$nhi
247 eor $Zll,$Tll,$Zll,lsr#4
248 ldrh $Tll,[$rem_4bit,$nhi] @ rem_4bit[rem]
249 eor $Zll,$Zll,$Zlh,lsl#28
250 eor $Zlh,$Tlh,$Zlh,lsr#4
251 eor $Zlh,$Zlh,$Zhl,lsl#28
252 eor $Zhl,$Thl,$Zhl,lsr#4
253 eor $Zhl,$Zhl,$Zhh,lsl#28
254 eor $Zhh,$Thh,$Zhh,lsr#4
255 and $nhi,$nlo,#0xf0
256 eor $Zhh,$Zhh,$Tll,lsl#16
257 and $nlo,$nlo,#0x0f
258
259.Loop:
260 add $Thh,$Htbl,$nlo,lsl#4
261 and $nlo,$Zll,#0xf @ rem
262 subs $cnt,$cnt,#1
263 add $nlo,$nlo,$nlo
264 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nlo]
265 eor $Zll,$Tll,$Zll,lsr#4
266 eor $Zll,$Zll,$Zlh,lsl#28
267 eor $Zlh,$Tlh,$Zlh,lsr#4
268 eor $Zlh,$Zlh,$Zhl,lsl#28
269 ldrh $Tll,[$rem_4bit,$nlo] @ rem_4bit[rem]
270 eor $Zhl,$Thl,$Zhl,lsr#4
271 ldrplb $nlo,[$Xi,$cnt]
272 eor $Zhl,$Zhl,$Zhh,lsl#28
273 eor $Zhh,$Thh,$Zhh,lsr#4
274
275 add $Thh,$Htbl,$nhi
276 and $nhi,$Zll,#0xf @ rem
277 eor $Zhh,$Zhh,$Tll,lsl#16 @ ^= rem_4bit[rem]
278 add $nhi,$nhi,$nhi
279 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi]
280 eor $Zll,$Tll,$Zll,lsr#4
281 eor $Zll,$Zll,$Zlh,lsl#28
282 eor $Zlh,$Tlh,$Zlh,lsr#4
283 ldrh $Tll,[$rem_4bit,$nhi] @ rem_4bit[rem]
284 eor $Zlh,$Zlh,$Zhl,lsl#28
285 eor $Zhl,$Thl,$Zhl,lsr#4
286 eor $Zhl,$Zhl,$Zhh,lsl#28
287 eor $Zhh,$Thh,$Zhh,lsr#4
288 andpl $nhi,$nlo,#0xf0
289 andpl $nlo,$nlo,#0x0f
290 eor $Zhh,$Zhh,$Tll,lsl#16 @ ^= rem_4bit[rem]
291 bpl .Loop
292___
293 &Zsmash();
294$code.=<<___;
295#if __ARM_ARCH__>=5
296 ldmia sp!,{r4-r11,pc}
297#else
298 ldmia sp!,{r4-r11,lr}
299 tst lr,#1
300 moveq pc,lr @ be binary compatible with V4, yet
301 bx lr @ interoperable with Thumb ISA:-)
302#endif
303.size gcm_gmult_4bit,.-gcm_gmult_4bit
304___
305{
306my $cnt=$Htbl; # $Htbl is used once in the very beginning
307
308my ($Hhi, $Hlo, $Zo, $T, $xi, $mod) = map("d$_",(0..7));
309my ($Qhi, $Qlo, $Z, $R, $zero, $Qpost, $IN) = map("q$_",(8..15));
310
311# Z:Zo keeps 128-bit result shifted by 1 to the right, with bottom bit
312# in Zo. Or should I say "top bit", because GHASH is specified in
313# reverse bit order? Otherwise straightforward 128-bt H by one input
314# byte multiplication and modulo-reduction, times 16.
315
316sub Dlo() { shift=~m|q([1]?[0-9])|?"d".($1*2):""; }
317sub Dhi() { shift=~m|q([1]?[0-9])|?"d".($1*2+1):""; }
318sub Q() { shift=~m|d([1-3]?[02468])|?"q".($1/2):""; }
319
320$code.=<<___;
321#if __ARM_ARCH__>=7
322.fpu neon
323
324.global gcm_gmult_neon
325.type gcm_gmult_neon,%function
326.align 4
327gcm_gmult_neon:
328 sub $Htbl,#16 @ point at H in GCM128_CTX
329 vld1.64 `&Dhi("$IN")`,[$Xi,:64]!@ load Xi
330 vmov.i32 $mod,#0xe1 @ our irreducible polynomial
331 vld1.64 `&Dlo("$IN")`,[$Xi,:64]!
332 vshr.u64 $mod,#32
333 vldmia $Htbl,{$Hhi-$Hlo} @ load H
334 veor $zero,$zero
335#ifdef __ARMEL__
336 vrev64.8 $IN,$IN
337#endif
338 veor $Qpost,$Qpost
339 veor $R,$R
340 mov $cnt,#16
341 veor $Z,$Z
342 mov $len,#16
343 veor $Zo,$Zo
344 vdup.8 $xi,`&Dlo("$IN")`[0] @ broadcast lowest byte
345 b .Linner_neon
346.size gcm_gmult_neon,.-gcm_gmult_neon
347
348.global gcm_ghash_neon
349.type gcm_ghash_neon,%function
350.align 4
351gcm_ghash_neon:
352 vld1.64 `&Dhi("$Z")`,[$Xi,:64]! @ load Xi
353 vmov.i32 $mod,#0xe1 @ our irreducible polynomial
354 vld1.64 `&Dlo("$Z")`,[$Xi,:64]!
355 vshr.u64 $mod,#32
356 vldmia $Xi,{$Hhi-$Hlo} @ load H
357 veor $zero,$zero
358 nop
359#ifdef __ARMEL__
360 vrev64.8 $Z,$Z
361#endif
362.Louter_neon:
363 vld1.64 `&Dhi($IN)`,[$inp]! @ load inp
364 veor $Qpost,$Qpost
365 vld1.64 `&Dlo($IN)`,[$inp]!
366 veor $R,$R
367 mov $cnt,#16
368#ifdef __ARMEL__
369 vrev64.8 $IN,$IN
370#endif
371 veor $Zo,$Zo
372 veor $IN,$Z @ inp^=Xi
373 veor $Z,$Z
374 vdup.8 $xi,`&Dlo("$IN")`[0] @ broadcast lowest byte
375.Linner_neon:
376 subs $cnt,$cnt,#1
377 vmull.p8 $Qlo,$Hlo,$xi @ H.lo·Xi[i]
378 vmull.p8 $Qhi,$Hhi,$xi @ H.hi·Xi[i]
379 vext.8 $IN,$zero,#1 @ IN>>=8
380
381 veor $Z,$Qpost @ modulo-scheduled part
382 vshl.i64 `&Dlo("$R")`,#48
383 vdup.8 $xi,`&Dlo("$IN")`[0] @ broadcast lowest byte
384 veor $T,`&Dlo("$Qlo")`,`&Dlo("$Z")`
385
386 veor `&Dhi("$Z")`,`&Dlo("$R")`
387 vuzp.8 $Qlo,$Qhi
388 vsli.8 $Zo,$T,#1 @ compose the "carry" byte
389 vext.8 $Z,$zero,#1 @ Z>>=8
390
391 vmull.p8 $R,$Zo,$mod @ "carry"·0xe1
392 vshr.u8 $Zo,$T,#7 @ save Z's bottom bit
393 vext.8 $Qpost,$Qlo,$zero,#1 @ Qlo>>=8
394 veor $Z,$Qhi
395 bne .Linner_neon
396
397 veor $Z,$Qpost @ modulo-scheduled artefact
398 vshl.i64 `&Dlo("$R")`,#48
399 veor `&Dhi("$Z")`,`&Dlo("$R")`
400
401 @ finalization, normalize Z:Zo
402 vand $Zo,$mod @ suffices to mask the bit
403 vshr.u64 `&Dhi(&Q("$Zo"))`,`&Dlo("$Z")`,#63
404 vshl.i64 $Z,#1
405 subs $len,#16
406 vorr $Z,`&Q("$Zo")` @ Z=Z:Zo<<1
407 bne .Louter_neon
408
409#ifdef __ARMEL__
410 vrev64.8 $Z,$Z
411#endif
412 sub $Xi,#16
413 vst1.64 `&Dhi("$Z")`,[$Xi,:64]! @ write out Xi
414 vst1.64 `&Dlo("$Z")`,[$Xi,:64]
415
416 bx lr
417.size gcm_ghash_neon,.-gcm_ghash_neon
418#endif
419___
420}
421$code.=<<___;
422.asciz "GHASH for ARMv4/NEON, CRYPTOGAMS by <appro\@openssl.org>"
423.align 2
424___
425
426$code =~ s/\`([^\`]*)\`/eval $1/gem;
427$code =~ s/\bbx\s+lr\b/.word\t0xe12fff1e/gm; # make it possible to compile with -march=armv4
428print $code;
429close STDOUT; # enforce flush