| #!/usr/bin/env perl |
| # Copyright (c) 2019, Google Inc. |
| # |
| # Permission to use, copy, modify, and/or distribute this software for any |
| # purpose with or without fee is hereby granted, provided that the above |
| # copyright notice and this permission notice appear in all copies. |
| # |
| # THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES |
| # WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF |
| # MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY |
| # SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
| # WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION |
| # OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN |
| # CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. |
| |
| # ghash-ssse3-x86_64.pl is a constant-time variant of the traditional 4-bit |
| # table-based GHASH implementation. It requires SSSE3 instructions. |
| # |
| # For background, the table-based strategy is a 4-bit windowed multiplication. |
| # It precomputes all 4-bit multiples of H (this is 16 128-bit rows), then loops |
| # over 4-bit windows of the input and indexes them up into the table. Visually, |
| # it multiplies as in the schoolbook multiplication diagram below, but with |
| # more terms. (Each term is 4 bits, so there are 32 terms in each row.) First |
| # it incorporates the terms labeled '1' by indexing the most significant term |
| # of X into the table. Then it shifts and repeats for '2' and so on. |
| # |
| # hhhhhh |
| # * xxxxxx |
| # ============ |
| # 666666 |
| # 555555 |
| # 444444 |
| # 333333 |
| # 222222 |
| # 111111 |
| # |
| # This implementation changes the order. We treat the table as a 16×16 matrix |
| # and transpose it. The first row is then the first byte of each multiple of H, |
| # and so on. We then reorder terms as below. Observe that the terms labeled '1' |
| # and '2' are all lookups into the first row, etc. This maps well to the SSSE3 |
| # pshufb instruction, using alternating terms of X in parallel as indices. This |
| # alternation is needed because pshufb maps 4 bits to 8 bits. Then we shift and |
| # repeat for each row. |
| # |
| # hhhhhh |
| # * xxxxxx |
| # ============ |
| # 224466 |
| # 113355 |
| # 224466 |
| # 113355 |
| # 224466 |
| # 113355 |
| # |
| # Next we account for GCM's confusing bit order. The "first" bit is the least |
| # significant coefficient, but GCM treats the most sigificant bit within a byte |
| # as first. Bytes are little-endian, and bits are big-endian. We reverse the |
| # bytes in XMM registers for a consistent bit and byte ordering, but this means |
| # the least significant bit is the most significant coefficient and vice versa. |
| # |
| # For consistency, "low", "high", "left-shift", and "right-shift" refer to the |
| # bit ordering within the XMM register, rather than the reversed coefficient |
| # ordering. Low bits are less significant bits and more significant |
| # coefficients. Right-shifts move from MSB to the LSB and correspond to |
| # increasing the power of each coefficient. |
| # |
| # Note this bit reversal enters into the table's column indices. H*1 is stored |
| # in column 0b1000 and H*x^3 is stored in column 0b0001. It also means earlier |
| # table rows contain more significant coefficients, so we iterate forwards. |
| |
| use strict; |
| |
| my $flavour = shift; |
| my $output = shift; |
| if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } |
| |
| my $win64 = 0; |
| $win64 = 1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); |
| |
| $0 =~ m/(.*[\/\\])[^\/\\]+$/; |
| my $dir = $1; |
| my $xlate; |
| ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or |
| ( $xlate="${dir}../../../perlasm/x86_64-xlate.pl" and -f $xlate) or |
| die "can't locate x86_64-xlate.pl"; |
| |
| open OUT, "| \"$^X\" \"$xlate\" $flavour \"$output\""; |
| *STDOUT = *OUT; |
| |
| my ($Xi, $Htable, $in, $len) = $win64 ? ("%rcx", "%rdx", "%r8", "%r9") : |
| ("%rdi", "%rsi", "%rdx", "%rcx"); |
| |
| |
| my $code = <<____; |
| .text |
| |
| # gcm_gmult_ssse3 multiplies |Xi| by |Htable| and writes the result to |Xi|. |
| # |Xi| is represented in GHASH's serialized byte representation. |Htable| is |
| # formatted as described above. |
| # void gcm_gmult_ssse3(uint64_t Xi[2], const u128 Htable[16]); |
| .type gcm_gmult_ssse3, \@abi-omnipotent |
| .globl gcm_gmult_ssse3 |
| .align 16 |
| gcm_gmult_ssse3: |
| .cfi_startproc |
| .seh_startproc |
| ____ |
| $code .= <<____ if ($win64); |
| subq \$40, %rsp |
| .seh_allocstack 40 |
| movdqa %xmm6, (%rsp) |
| .seh_savexmm128 %xmm6, 0 |
| movdqa %xmm10, 16(%rsp) |
| .seh_savexmm128 %xmm10, 16 |
| ____ |
| $code .= <<____; |
| movdqu ($Xi), %xmm0 |
| movdqa .Lreverse_bytes(%rip), %xmm10 |
| movdqa .Llow4_mask(%rip), %xmm2 |
| |
| # Reverse input bytes to deserialize. |
| pshufb %xmm10, %xmm0 |
| |
| # Split each byte into low (%xmm0) and high (%xmm1) halves. |
| movdqa %xmm2, %xmm1 |
| pandn %xmm0, %xmm1 |
| psrld \$4, %xmm1 |
| pand %xmm2, %xmm0 |
| |
| # Maintain the result in %xmm2 (the value) and %xmm3 (carry bits). Note |
| # that, due to bit reversal, %xmm3 contains bits that fall off when |
| # right-shifting, not left-shifting. |
| pxor %xmm2, %xmm2 |
| pxor %xmm3, %xmm3 |
| ____ |
| |
| my $call_counter = 0; |
| # process_rows returns assembly code to process $rows rows of the table. On |
| # input, $Htable stores the pointer to the next row. %xmm0 and %xmm1 store the |
| # low and high halves of the input. The result so far is passed in %xmm2. %xmm3 |
| # must be zero. On output, $Htable is advanced to the next row and %xmm2 is |
| # updated. %xmm3 remains zero. It clobbers %rax, %xmm4, %xmm5, and %xmm6. |
| sub process_rows { |
| my ($rows) = @_; |
| $call_counter++; |
| |
| # Shifting whole XMM registers by bits is complex. psrldq shifts by bytes, |
| # and psrlq shifts the two 64-bit halves separately. Each row produces 8 |
| # bits of carry, and the reduction needs an additional 7-bit shift. This |
| # must fit in 64 bits so reduction can use psrlq. This allows up to 7 rows |
| # at a time. |
| die "Carry register would overflow 64 bits." if ($rows*8 + 7 > 64); |
| |
| return <<____; |
| movq \$$rows, %rax |
| .Loop_row_$call_counter: |
| movdqa ($Htable), %xmm4 |
| leaq 16($Htable), $Htable |
| |
| # Right-shift %xmm2 and %xmm3 by 8 bytes. |
| movdqa %xmm2, %xmm6 |
| palignr \$1, %xmm3, %xmm6 |
| movdqa %xmm6, %xmm3 |
| psrldq \$1, %xmm2 |
| |
| # Load the next table row and index the low and high bits of the input. |
| # Note the low (respectively, high) half corresponds to more |
| # (respectively, less) significant coefficients. |
| movdqa %xmm4, %xmm5 |
| pshufb %xmm0, %xmm4 |
| pshufb %xmm1, %xmm5 |
| |
| # Add the high half (%xmm5) without shifting. |
| pxor %xmm5, %xmm2 |
| |
| # Add the low half (%xmm4). This must be right-shifted by 4 bits. First, |
| # add into the carry register (%xmm3). |
| movdqa %xmm4, %xmm5 |
| psllq \$60, %xmm5 |
| movdqa %xmm5, %xmm6 |
| pslldq \$8, %xmm6 |
| pxor %xmm6, %xmm3 |
| |
| # Next, add into %xmm2. |
| psrldq \$8, %xmm5 |
| pxor %xmm5, %xmm2 |
| psrlq \$4, %xmm4 |
| pxor %xmm4, %xmm2 |
| |
| subq \$1, %rax |
| jnz .Loop_row_$call_counter |
| |
| # Reduce the carry register. The reduction polynomial is 1 + x + x^2 + |
| # x^7, so we shift and XOR four times. |
| pxor %xmm3, %xmm2 # x^0 = 0 |
| psrlq \$1, %xmm3 |
| pxor %xmm3, %xmm2 # x^1 = x |
| psrlq \$1, %xmm3 |
| pxor %xmm3, %xmm2 # x^(1+1) = x^2 |
| psrlq \$5, %xmm3 |
| pxor %xmm3, %xmm2 # x^(1+1+5) = x^7 |
| pxor %xmm3, %xmm3 |
| ____ |
| } |
| |
| # We must reduce at least once every 7 rows, so divide into three chunks. |
| $code .= process_rows(5); |
| $code .= process_rows(5); |
| $code .= process_rows(6); |
| |
| $code .= <<____; |
| # Store the result. Reverse bytes to serialize. |
| pshufb %xmm10, %xmm2 |
| movdqu %xmm2, ($Xi) |
| |
| # Zero any registers which contain secrets. |
| pxor %xmm0, %xmm0 |
| pxor %xmm1, %xmm1 |
| pxor %xmm2, %xmm2 |
| pxor %xmm3, %xmm3 |
| pxor %xmm4, %xmm4 |
| pxor %xmm5, %xmm5 |
| pxor %xmm6, %xmm6 |
| ____ |
| $code .= <<____ if ($win64); |
| movdqa (%rsp), %xmm6 |
| movdqa 16(%rsp), %xmm10 |
| addq \$40, %rsp |
| ____ |
| $code .= <<____; |
| ret |
| .cfi_endproc |
| .seh_endproc |
| .size gcm_gmult_ssse3,.-gcm_gmult_ssse3 |
| ____ |
| |
| $code .= <<____; |
| # gcm_ghash_ssse3 incorporates |len| bytes from |in| to |Xi|, using |Htable| as |
| # the key. It writes the result back to |Xi|. |Xi| is represented in GHASH's |
| # serialized byte representation. |Htable| is formatted as described above. |
| # void gcm_ghash_ssse3(uint64_t Xi[2], const u128 Htable[16], const uint8_t *in, |
| # size_t len); |
| .type gcm_ghash_ssse3, \@abi-omnipotent |
| .globl gcm_ghash_ssse3 |
| .align 16 |
| gcm_ghash_ssse3: |
| .cfi_startproc |
| .seh_startproc |
| ____ |
| $code .= <<____ if ($win64); |
| subq \$56, %rsp |
| .seh_allocstack 56 |
| movdqa %xmm6, (%rsp) |
| .seh_savexmm128 %xmm6, 0 |
| movdqa %xmm10, 16(%rsp) |
| .seh_savexmm128 %xmm10, 16 |
| movdqa %xmm11, 32(%rsp) |
| .seh_savexmm128 %xmm11, 32 |
| ____ |
| $code .= <<____; |
| movdqu ($Xi), %xmm0 |
| movdqa .Lreverse_bytes(%rip), %xmm10 |
| movdqa .Llow4_mask(%rip), %xmm11 |
| |
| # This function only processes whole blocks. |
| andq \$-16, $len |
| |
| # Reverse input bytes to deserialize. We maintain the running |
| # total in %xmm0. |
| pshufb %xmm10, %xmm0 |
| |
| # Iterate over each block. On entry to each iteration, %xmm3 is zero. |
| pxor %xmm3, %xmm3 |
| .Loop_ghash: |
| # Incorporate the next block of input. |
| movdqu ($in), %xmm1 |
| pshufb %xmm10, %xmm1 # Reverse bytes. |
| pxor %xmm1, %xmm0 |
| |
| # Split each byte into low (%xmm0) and high (%xmm1) halves. |
| movdqa %xmm11, %xmm1 |
| pandn %xmm0, %xmm1 |
| psrld \$4, %xmm1 |
| pand %xmm11, %xmm0 |
| |
| # Maintain the result in %xmm2 (the value) and %xmm3 (carry bits). Note |
| # that, due to bit reversal, %xmm3 contains bits that fall off when |
| # right-shifting, not left-shifting. |
| pxor %xmm2, %xmm2 |
| # %xmm3 is already zero at this point. |
| ____ |
| |
| # We must reduce at least once every 7 rows, so divide into three chunks. |
| $code .= process_rows(5); |
| $code .= process_rows(5); |
| $code .= process_rows(6); |
| |
| $code .= <<____; |
| movdqa %xmm2, %xmm0 |
| |
| # Rewind $Htable for the next iteration. |
| leaq -256($Htable), $Htable |
| |
| # Advance input and continue. |
| leaq 16($in), $in |
| subq \$16, $len |
| jnz .Loop_ghash |
| |
| # Reverse bytes and store the result. |
| pshufb %xmm10, %xmm0 |
| movdqu %xmm0, ($Xi) |
| |
| # Zero any registers which contain secrets. |
| pxor %xmm0, %xmm0 |
| pxor %xmm1, %xmm1 |
| pxor %xmm2, %xmm2 |
| pxor %xmm3, %xmm3 |
| pxor %xmm4, %xmm4 |
| pxor %xmm5, %xmm5 |
| pxor %xmm6, %xmm6 |
| ____ |
| $code .= <<____ if ($win64); |
| movdqa (%rsp), %xmm6 |
| movdqa 16(%rsp), %xmm10 |
| movdqa 32(%rsp), %xmm11 |
| addq \$56, %rsp |
| ____ |
| $code .= <<____; |
| ret |
| .cfi_endproc |
| .seh_endproc |
| .size gcm_ghash_ssse3,.-gcm_ghash_ssse3 |
| |
| .align 16 |
| # .Lreverse_bytes is a permutation which, if applied with pshufb, reverses the |
| # bytes in an XMM register. |
| .Lreverse_bytes: |
| .byte 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 |
| # .Llow4_mask is an XMM mask which selects the low four bits of each byte. |
| .Llow4_mask: |
| .quad 0x0f0f0f0f0f0f0f0f, 0x0f0f0f0f0f0f0f0f |
| ____ |
| |
| print $code; |
| close STDOUT or die "error closing STDOUT: $!"; |