#!/usr/bin/env perl # # ==================================================================== # Written by Andy Polyakov for the OpenSSL # project. The module is, however, dual licensed under OpenSSL and # CRYPTOGAMS licenses depending on where you obtain it. For further # details see http://www.openssl.org/~appro/cryptogams/. # ==================================================================== # # April 2010 # # The module implements "4-bit" GCM GHASH function and underlying # single multiplication operation in GF(2^128). "4-bit" means that it # uses 256 bytes per-key table [+32 bytes shared table]. There is no # experimental performance data available yet. The only approximation # that can be made at this point is based on code size. Inner loop is # 32 instructions long and on single-issue core should execute in <40 # cycles. Having verified that gcc 3.4 didn't unroll corresponding # loop, this assembler loop body was found to be ~3x smaller than # compiler-generated one... # # Byte order [in]dependence. ========================================= # # Caller is expected to maintain specific *dword* order in Htable, # namely with *least* significant dword of 128-bit value at *lower* # address. This differs completely from C code and has everything to # do with ldm instruction and order in which dwords are "consumed" by # algorithm. *Byte* order within these dwords in turn is whatever # *native* byte order on current platform. See gcm128.c for working # example... $Xi="r0"; # argument block $Htbl="r1"; $inp="r2"; $len="r3"; $Zll="r4"; # variables $Zlh="r5"; $Zhl="r6"; $Zhh="r7"; $Tll="r8"; $Tlh="r9"; $Thl="r10"; $Thh="r11"; $nlo="r12"; ################# r13 is stack pointer $nhi="r14"; ################# r15 is program counter $rem_4bit=$inp; # used in gcm_gmult_4bit $cnt=$len; $output=shift; open STDOUT,">$output"; sub Zsmash() { my $i=12; my @args=@_; for ($Zll,$Zlh,$Zhl,$Zhh) { # can be reduced to single "str $_,[$Xi,$i]" on big-endian platforms $code.=<<___; mov $Tlh,$_,lsr#8 strb $_,[$Xi,#$i+3] mov $Thl,$_,lsr#16 strb $Tlh,[$Xi,#$i+2] mov $Thh,$_,lsr#24 strb $Thl,[$Xi,#$i+1] strb $Thh,[$Xi,#$i] ___ $code.="\t".shift(@args)."\n"; $i-=4; } } $code=<<___; .text .code 32 .type rem_4bit,%object .align 5 rem_4bit: .short 0x0000,0x1C20,0x3840,0x2460 .short 0x7080,0x6CA0,0x48C0,0x54E0 .short 0xE100,0xFD20,0xD940,0xC560 .short 0x9180,0x8DA0,0xA9C0,0xB5E0 .size rem_4bit,.-rem_4bit .type rem_4bit_get,%function rem_4bit_get: sub $rem_4bit,pc,#8 sub $rem_4bit,$rem_4bit,#32 @ &rem_4bit b .Lrem_4bit_got nop .size rem_4bit_get,.-rem_4bit_get .global gcm_ghash_4bit .type gcm_ghash_4bit,%function gcm_ghash_4bit: sub r12,pc,#8 add $len,$inp,$len @ $len to point at the end stmdb sp!,{r3-r11,lr} @ save $len/end too sub r12,r12,#48 @ &rem_4bit ldmia r12,{r4-r11} @ copy rem_4bit ... stmdb sp!,{r4-r11} @ ... to stack ldrb $nlo,[$inp,#15] ldrb $nhi,[$Xi,#15] .Louter: eor $nlo,$nlo,$nhi and $nhi,$nlo,#0xf0 and $nlo,$nlo,#0x0f mov $cnt,#14 add $Zhh,$Htbl,$nlo,lsl#4 ldmia $Zhh,{$Zll-$Zhh} @ load Htbl[nlo] ldrb $nlo,[$inp,#14] add $Thh,$Htbl,$nhi and $nhi,$Zll,#0xf @ rem ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi] mov $nhi,$nhi,lsl#1 eor $Zll,$Tll,$Zll,lsr#4 ldrh $Tll,[sp,$nhi] @ rem_4bit[rem] eor $Zll,$Zll,$Zlh,lsl#28 ldrb $nhi,[$Xi,#14] eor $Zlh,$Tlh,$Zlh,lsr#4 eor $Zlh,$Zlh,$Zhl,lsl#28 eor $Zhl,$Thl,$Zhl,lsr#4 eor $Zhl,$Zhl,$Zhh,lsl#28 eor $Zhh,$Thh,$Zhh,lsr#4 eor $nlo,$nlo,$nhi eor $Zhh,$Zhh,$Tll,lsl#16 and $nhi,$nlo,#0xf0 and $nlo,$nlo,#0x0f .Loop: add $Thh,$Htbl,$nlo,lsl#4 subs $cnt,$cnt,#1 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nlo] and $nlo,$Zll,#0xf @ rem add $nlo,$nlo,$nlo eor $Zll,$Tll,$Zll,lsr#4 ldrh $Tll,[sp,$nlo] @ rem_4bit[rem] eor $Zll,$Zll,$Zlh,lsl#28 eor $Zlh,$Tlh,$Zlh,lsr#4 eor $Zlh,$Zlh,$Zhl,lsl#28 eor $Zhl,$Thl,$Zhl,lsr#4 eor $Zhl,$Zhl,$Zhh,lsl#28 eor $Zhh,$Thh,$Zhh,lsr#4 ldrplb $nlo,[$inp,$cnt] add $Thh,$Htbl,$nhi eor $Zhh,$Zhh,$Tll,lsl#16 @ ^= rem_4bit[rem] ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi] and $nhi,$Zll,#0xf @ rem add $nhi,$nhi,$nhi eor $Zll,$Tll,$Zll,lsr#4 ldrh $Tll,[sp,$nhi] @ rem_4bit[rem] eor $Zll,$Zll,$Zlh,lsl#28 ldrplb $nhi,[$Xi,$cnt] eor $Zlh,$Tlh,$Zlh,lsr#4 eor $Zlh,$Zlh,$Zhl,lsl#28 eor $Zhl,$Thl,$Zhl,lsr#4 eor $Zhl,$Zhl,$Zhh,lsl#28 eor $Zhh,$Thh,$Zhh,lsr#4 eorpl $nlo,$nlo,$nhi eor $Zhh,$Zhh,$Tll,lsl#16 @ ^= rem_4bit[rem] andpl $nhi,$nlo,#0xf0 andpl $nlo,$nlo,#0x0f bpl .Loop ldr $len,[sp,#32] @ re-load $len/end add $inp,$inp,#16 mov $nhi,$Zll ___ &Zsmash("cmp\t$inp,$len","ldrneb\t$nlo,[$inp,#15]"); $code.=<<___; bne .Louter add sp,sp,#36 ldmia sp!,{r4-r11,lr} tst lr,#1 moveq pc,lr @ be binary compatible with V4, yet bx lr @ interoperable with Thumb ISA:-) .size gcm_ghash_4bit,.-gcm_ghash_4bit .global gcm_gmult_4bit .type gcm_gmult_4bit,%function gcm_gmult_4bit: stmdb sp!,{r4-r11,lr} ldrb $nlo,[$Xi,#15] b rem_4bit_get .Lrem_4bit_got: and $nhi,$nlo,#0xf0 and $nlo,$nlo,#0x0f mov $cnt,#14 add $Zhh,$Htbl,$nlo,lsl#4 ldmia $Zhh,{$Zll-$Zhh} @ load Htbl[nlo] ldrb $nlo,[$Xi,#14] add $Thh,$Htbl,$nhi and $nhi,$Zll,#0xf @ rem ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi] mov $nhi,$nhi,lsl#1 eor $Zll,$Tll,$Zll,lsr#4 ldrh $Tll,[$rem_4bit,$nhi] @ rem_4bit[rem] eor $Zll,$Zll,$Zlh,lsl#28 eor $Zlh,$Tlh,$Zlh,lsr#4 eor $Zlh,$Zlh,$Zhl,lsl#28 eor $Zhl,$Thl,$Zhl,lsr#4 eor $Zhl,$Zhl,$Zhh,lsl#28 eor $Zhh,$Thh,$Zhh,lsr#4 and $nhi,$nlo,#0xf0 eor $Zhh,$Zhh,$Tll,lsl#16 and $nlo,$nlo,#0x0f .Loop2: add $Thh,$Htbl,$nlo,lsl#4 subs $cnt,$cnt,#1 ldmia $Thh,{$Tll-$Thh} @ load Htbl[nlo] and $nlo,$Zll,#0xf @ rem add $nlo,$nlo,$nlo eor $Zll,$Tll,$Zll,lsr#4 ldrh $Tll,[$rem_4bit,$nlo] @ rem_4bit[rem] eor $Zll,$Zll,$Zlh,lsl#28 eor $Zlh,$Tlh,$Zlh,lsr#4 eor $Zlh,$Zlh,$Zhl,lsl#28 eor $Zhl,$Thl,$Zhl,lsr#4 eor $Zhl,$Zhl,$Zhh,lsl#28 eor $Zhh,$Thh,$Zhh,lsr#4 ldrplb $nlo,[$Xi,$cnt] add $Thh,$Htbl,$nhi eor $Zhh,$Zhh,$Tll,lsl#16 @ ^= rem_4bit[rem] ldmia $Thh,{$Tll-$Thh} @ load Htbl[nhi] and $nhi,$Zll,#0xf @ rem add $nhi,$nhi,$nhi eor $Zll,$Tll,$Zll,lsr#4 ldrh $Tll,[$rem_4bit,$nhi] @ rem_4bit[rem] eor $Zll,$Zll,$Zlh,lsl#28 eor $Zlh,$Tlh,$Zlh,lsr#4 eor $Zlh,$Zlh,$Zhl,lsl#28 eor $Zhl,$Thl,$Zhl,lsr#4 eor $Zhl,$Zhl,$Zhh,lsl#28 eor $Zhh,$Thh,$Zhh,lsr#4 andpl $nhi,$nlo,#0xf0 eor $Zhh,$Zhh,$Tll,lsl#16 @ ^= rem_4bit[rem] andpl $nlo,$nlo,#0x0f bpl .Loop2 ___ &Zsmash(); $code.=<<___; ldmia sp!,{r4-r11,lr} tst lr,#1 moveq pc,lr @ be binary compatible with V4, yet bx lr @ interoperable with Thumb ISA:-) .size gcm_gmult_4bit,.-gcm_gmult_4bit .asciz "GHASH for ARMv4, CRYPTOGAMS by " .align 2 ___ $code =~ s/\`([^\`]*)\`/eval $1/gem; $code =~ s/\bbx\s+lr\b/.word\t0xe12fff1e/gm; # make it possible to compile with -march=armv4 print $code; close STDOUT; # enforce flush