github.com/parquet-go/parquet-go@v0.20.0/encoding/delta/binary_packed_amd64.s (about)

     1  //go:build !purego
     2  
     3  #include "textflag.h"
     4  
     5  #define blockSize 128
     6  #define numMiniBlocks 4
     7  #define miniBlockSize 32
     8  
     9  // -----------------------------------------------------------------------------
    10  // 32 bits
    11  // -----------------------------------------------------------------------------
    12  
    13  #define deltaInt32AVX2x8(baseAddr) \
    14      VMOVDQU baseAddr, Y1    \ // [0,1,2,3,4,5,6,7]
    15      VPERMD Y1, Y3, Y2       \ // [7,0,1,2,3,4,5,6]
    16      VPBLENDD $1, Y0, Y2, Y2 \ // [x,0,1,2,3,4,5,6]
    17      VPSUBD Y2, Y1, Y2       \ // [0,1,2,...] - [x,0,1,...]
    18      VMOVDQU Y2, baseAddr    \
    19      VPERMD Y1, Y3, Y0
    20  
    21  // func blockDeltaInt32AVX2(block *[blockSize]int32, lastValue int32) int32
    22  TEXT ·blockDeltaInt32AVX2(SB), NOSPLIT, $0-20
    23      MOVQ block+0(FP), AX
    24      MOVL 4*blockSize-4(AX), CX
    25      MOVL CX, ret+16(FP)
    26  
    27      VPBROADCASTD lastValue+8(FP), Y0
    28      VMOVDQU ·rotateLeft32(SB), Y3
    29  
    30      XORQ SI, SI
    31  loop:
    32      deltaInt32AVX2x8(0(AX)(SI*4))
    33      deltaInt32AVX2x8(32(AX)(SI*4))
    34      deltaInt32AVX2x8(64(AX)(SI*4))
    35      deltaInt32AVX2x8(96(AX)(SI*4))
    36      ADDQ $32, SI
    37      CMPQ SI, $blockSize
    38      JNE loop
    39      VZEROUPPER
    40      RET
    41  
    42  // func blockMinInt32AVX2(block *[blockSize]int32) int32
    43  TEXT ·blockMinInt32AVX2(SB), NOSPLIT, $0-12
    44      MOVQ block+0(FP), AX
    45      VPBROADCASTD (AX), Y15
    46  
    47      VPMINSD 0(AX), Y15, Y0
    48      VPMINSD 32(AX), Y15, Y1
    49      VPMINSD 64(AX), Y15, Y2
    50      VPMINSD 96(AX), Y15, Y3
    51      VPMINSD 128(AX), Y15, Y4
    52      VPMINSD 160(AX), Y15, Y5
    53      VPMINSD 192(AX), Y15, Y6
    54      VPMINSD 224(AX), Y15, Y7
    55      VPMINSD 256(AX), Y15, Y8
    56      VPMINSD 288(AX), Y15, Y9
    57      VPMINSD 320(AX), Y15, Y10
    58      VPMINSD 352(AX), Y15, Y11
    59      VPMINSD 384(AX), Y15, Y12
    60      VPMINSD 416(AX), Y15, Y13
    61      VPMINSD 448(AX), Y15, Y14
    62      VPMINSD 480(AX), Y15, Y15
    63  
    64      VPMINSD Y1, Y0, Y0
    65      VPMINSD Y3, Y2, Y2
    66      VPMINSD Y5, Y4, Y4
    67      VPMINSD Y7, Y6, Y6
    68      VPMINSD Y9, Y8, Y8
    69      VPMINSD Y11, Y10, Y10
    70      VPMINSD Y13, Y12, Y12
    71      VPMINSD Y15, Y14, Y14
    72  
    73      VPMINSD Y2, Y0, Y0
    74      VPMINSD Y6, Y4, Y4
    75      VPMINSD Y10, Y8, Y8
    76      VPMINSD Y14, Y12, Y12
    77  
    78      VPMINSD Y4, Y0, Y0
    79      VPMINSD Y12, Y8, Y8
    80  
    81      VPMINSD Y8, Y0, Y0
    82  
    83      VPERM2I128 $1, Y0, Y0, Y1
    84      VPMINSD Y1, Y0, Y0
    85  
    86      VPSHUFD $0b00011011, Y0, Y1
    87      VPMINSD Y1, Y0, Y0
    88      VZEROUPPER
    89  
    90      MOVQ X0, CX
    91      MOVL CX, BX
    92      SHRQ $32, CX
    93      CMPL CX, BX
    94      CMOVLLT CX, BX
    95      MOVL BX, ret+8(FP)
    96      RET
    97  
    98  #define subInt32AVX2x32(baseAddr, offset) \
    99      VMOVDQU offset+0(baseAddr), Y1      \
   100      VMOVDQU offset+32(baseAddr), Y2     \
   101      VMOVDQU offset+64(baseAddr), Y3     \
   102      VMOVDQU offset+96(baseAddr), Y4     \
   103      VPSUBD Y0, Y1, Y1                   \
   104      VPSUBD Y0, Y2, Y2                   \
   105      VPSUBD Y0, Y3, Y3                   \
   106      VPSUBD Y0, Y4, Y4                   \
   107      VMOVDQU Y1, offset+0(baseAddr)      \
   108      VMOVDQU Y2, offset+32(baseAddr)     \
   109      VMOVDQU Y3, offset+64(baseAddr)     \
   110      VMOVDQU Y4, offset+96(baseAddr)
   111  
   112  // func blockSubInt32AVX2(block *[blockSize]int32, value int32)
   113  TEXT ·blockSubInt32AVX2(SB), NOSPLIT, $0-12
   114      MOVQ block+0(FP), AX
   115      VPBROADCASTD value+8(FP), Y0
   116      subInt32AVX2x32(AX, 0)
   117      subInt32AVX2x32(AX, 128)
   118      subInt32AVX2x32(AX, 256)
   119      subInt32AVX2x32(AX, 384)
   120      VZEROUPPER
   121      RET
   122  
   123  // func blockBitWidthsInt32AVX2(bitWidths *[numMiniBlocks]byte, block *[blockSize]int32)
   124  TEXT ·blockBitWidthsInt32AVX2(SB), NOSPLIT, $0-16
   125      MOVQ bitWidths+0(FP), AX
   126      MOVQ block+8(FP), BX
   127  
   128      // AVX2 only has signed comparisons (and min/max), we emulate working on
   129      // unsigned values by adding -2^31 to the values. Y5 is a vector of -2^31
   130      // used to offset 8 packed 32 bits integers in other YMM registers where
   131      // the block data are loaded.
   132      VPCMPEQD Y5, Y5, Y5
   133      VPSLLD $31, Y5, Y5
   134  
   135      XORQ DI, DI
   136  loop:
   137      VPBROADCASTD (BX), Y0 // max
   138      VPADDD Y5, Y0, Y0
   139  
   140      VMOVDQU (BX), Y1
   141      VMOVDQU 32(BX), Y2
   142      VMOVDQU 64(BX), Y3
   143      VMOVDQU 96(BX), Y4
   144  
   145      VPADDD Y5, Y1, Y1
   146      VPADDD Y5, Y2, Y2
   147      VPADDD Y5, Y3, Y3
   148      VPADDD Y5, Y4, Y4
   149  
   150      VPMAXSD Y2, Y1, Y1
   151      VPMAXSD Y4, Y3, Y3
   152      VPMAXSD Y3, Y1, Y1
   153      VPMAXSD Y1, Y0, Y0
   154  
   155      VPERM2I128 $1, Y0, Y0, Y1
   156      VPMAXSD Y1, Y0, Y0
   157  
   158      VPSHUFD $0b00011011, Y0, Y1
   159      VPMAXSD Y1, Y0, Y0
   160      VPSUBD Y5, Y0, Y0
   161  
   162      MOVQ X0, CX
   163      MOVL CX, DX
   164      SHRQ $32, CX
   165      CMPL CX, DX
   166      CMOVLHI CX, DX
   167  
   168      LZCNTL DX, DX
   169      NEGL DX
   170      ADDL $32, DX
   171      MOVB DX, (AX)(DI*1)
   172  
   173      ADDQ $128, BX
   174      INCQ DI
   175      CMPQ DI, $numMiniBlocks
   176      JNE loop
   177      VZEROUPPER
   178      RET
   179  
   180  // encodeMiniBlockInt32Default is the generic implementation of the algorithm to
   181  // pack 32 bit integers into values of a given bit width (<=32).
   182  //
   183  // This algorithm is much slower than the vectorized versions, but is useful
   184  // as a reference implementation to run the tests against, and as fallback when
   185  // the code runs on a CPU which does not support the AVX2 instruction set.
   186  //
   187  // func encodeMiniBlockInt32Default(dst *byte, src *[miniBlockSize]int32, bitWidth uint)
   188  TEXT ·encodeMiniBlockInt32Default(SB), NOSPLIT, $0-24
   189      MOVQ dst+0(FP), AX
   190      MOVQ src+8(FP), BX
   191      MOVQ bitWidth+16(FP), R9
   192  
   193      XORQ DI, DI // bitOffset
   194      XORQ SI, SI
   195  loop:
   196      MOVQ DI, CX
   197      MOVQ DI, DX
   198  
   199      ANDQ $0b11111, CX // bitOffset % 32
   200      SHRQ $5, DX       // bitOffset / 32
   201  
   202      MOVLQZX (BX)(SI*4), R8
   203      SHLQ CX, R8
   204      ORQ R8, (AX)(DX*4)
   205  
   206      ADDQ R9, DI
   207      INCQ SI
   208      CMPQ SI, $miniBlockSize
   209      JNE loop
   210      RET
   211  
   212  // encodeMiniBlockInt32x1bitAVX2 packs 32 bit integers into 1 bit values in the
   213  // the output buffer.
   214  //
   215  // The algorithm uses MOVMSKPS to extract the 8 relevant bits from the 8 values
   216  // packed in YMM registers, then combines 4 of these into a 32 bit word which
   217  // then gets written to the output. The result is 32 bits because each mini
   218  // block has 32 values (the block size is 128 and there are 4 mini blocks per
   219  // block).
   220  //
   221  // func encodeMiniBlockInt32x1bitAVX2(dst *byte, src *[miniBlockSize]int32)
   222  TEXT ·encodeMiniBlockInt32x1bitAVX2(SB), NOSPLIT, $0-16
   223      MOVQ dst+0(FP), AX
   224      MOVQ src+8(FP), BX
   225  
   226      VMOVDQU 0(BX), Y0
   227      VMOVDQU 32(BX), Y1
   228      VMOVDQU 64(BX), Y2
   229      VMOVDQU 96(BX), Y3
   230  
   231      VPSLLD $31, Y0, Y0
   232      VPSLLD $31, Y1, Y1
   233      VPSLLD $31, Y2, Y2
   234      VPSLLD $31, Y3, Y3
   235  
   236      VMOVMSKPS Y0, R8
   237      VMOVMSKPS Y1, R9
   238      VMOVMSKPS Y2, R10
   239      VMOVMSKPS Y3, R11
   240  
   241      SHLL $8, R9
   242      SHLL $16, R10
   243      SHLL $24, R11
   244  
   245      ORL R9, R8
   246      ORL R10, R8
   247      ORL R11, R8
   248      MOVL R8, (AX)
   249      VZEROUPPER
   250      RET
   251  
   252  // encodeMiniBlockInt32x2bitsAVX2 implements an algorithm for packing 32 bit
   253  // integers into 2 bit values.
   254  //
   255  // The algorithm is derived from the one employed in encodeMiniBlockInt32x1bitAVX2
   256  // but needs to perform a bit extra work since MOVMSKPS can only extract one bit
   257  // per packed integer of each YMM vector. We run two passes to extract the two
   258  // bits needed to compose each item of the result, and merge the values by
   259  // interleaving the first and second bits with PDEP.
   260  //
   261  // func encodeMiniBlockInt32x2bitsAVX2(dst *byte, src *[miniBlockSize]int32)
   262  TEXT ·encodeMiniBlockInt32x2bitsAVX2(SB), NOSPLIT, $0-16
   263      MOVQ dst+0(FP), AX
   264      MOVQ src+8(FP), BX
   265  
   266      VMOVDQU 0(BX), Y0
   267      VMOVDQU 32(BX), Y1
   268      VMOVDQU 64(BX), Y2
   269      VMOVDQU 96(BX), Y3
   270  
   271      VPSLLD $31, Y0, Y4
   272      VPSLLD $31, Y1, Y5
   273      VPSLLD $31, Y2, Y6
   274      VPSLLD $31, Y3, Y7
   275  
   276      VMOVMSKPS Y4, R8
   277      VMOVMSKPS Y5, R9
   278      VMOVMSKPS Y6, R10
   279      VMOVMSKPS Y7, R11
   280  
   281      SHLQ $8, R9
   282      SHLQ $16, R10
   283      SHLQ $24, R11
   284      ORQ R9, R8
   285      ORQ R10, R8
   286      ORQ R11, R8
   287  
   288      MOVQ $0x5555555555555555, DX // 0b010101...
   289      PDEPQ DX, R8, R8
   290  
   291      VPSLLD $30, Y0, Y8
   292      VPSLLD $30, Y1, Y9
   293      VPSLLD $30, Y2, Y10
   294      VPSLLD $30, Y3, Y11
   295  
   296      VMOVMSKPS Y8, R12
   297      VMOVMSKPS Y9, R13
   298      VMOVMSKPS Y10, R14
   299      VMOVMSKPS Y11, R15
   300  
   301      SHLQ $8, R13
   302      SHLQ $16, R14
   303      SHLQ $24, R15
   304      ORQ R13, R12
   305      ORQ R14, R12
   306      ORQ R15, R12
   307  
   308      MOVQ $0xAAAAAAAAAAAAAAAA, DI // 0b101010...
   309      PDEPQ DI, R12, R12
   310  
   311      ORQ R12, R8
   312      MOVQ R8, (AX)
   313      VZEROUPPER
   314      RET
   315  
   316  // encodeMiniBlockInt32x32bitsAVX2 is a specialization of the bit packing logic
   317  // for 32 bit integers when the output bit width is also 32, in which case a
   318  // simple copy of the mini block to the output buffer produces the result.
   319  //
   320  // func encodeMiniBlockInt32x32bitsAVX2(dst *byte, src *[miniBlockSize]int32)
   321  TEXT ·encodeMiniBlockInt32x32bitsAVX2(SB), NOSPLIT, $0-16
   322      MOVQ dst+0(FP), AX
   323      MOVQ src+8(FP), BX
   324      VMOVDQU 0(BX), Y0
   325      VMOVDQU 32(BX), Y1
   326      VMOVDQU 64(BX), Y2
   327      VMOVDQU 96(BX), Y3
   328      VMOVDQU Y0, 0(AX)
   329      VMOVDQU Y1, 32(AX)
   330      VMOVDQU Y2, 64(AX)
   331      VMOVDQU Y3, 96(AX)
   332      VZEROUPPER
   333      RET
   334  
   335  // encodeMiniBlockInt32x3to16bitsAVX2 is the algorithm used to bit-pack 32 bit
   336  // integers into values of width 3 to 16 bits.
   337  //
   338  // This function is a small overhead due to having to initialize registers with
   339  // values that depend on the bit width. We measured this cost at ~10% throughput
   340  // in synthetic benchmarks compared to generating constant shifts and offsets
   341  // using a macro. Using a single function rather than generating one for each
   342  // bit width has the benefit of reducing the code size, which in practice can
   343  // also yield benefits like reducing CPU cache misses. Not using a macro also
   344  // has other advantages like providing accurate line number of stack traces and
   345  // enabling the use of breakpoints when debugging. Overall, this approach seemed
   346  // to be the right trade off between performance and maintainability.
   347  //
   348  // The algorithm treats chunks of 8 values in 4 iterations to process all 32
   349  // values of the mini block. Writes to the output buffer are aligned on 128 bits
   350  // since we may write up to 128 bits (8 x 16 bits). Padding is therefore
   351  // required in the output buffer to avoid triggering a segfault.
   352  // The encodeInt32AVX2 method adds enough padding when sizing the output buffer
   353  // to account for this requirement.
   354  //
   355  // We leverage the two lanes of YMM registers to work on two sets of 4 values
   356  // (in the sequence of VMOVDQU/VPSHUFD, VPAND, VPSLLQ, VPOR), resulting in having
   357  // two sets of bit-packed values in the lower 64 bits of each YMM lane.
   358  // The upper lane is then permuted into a lower lane to merge the two results,
   359  // which may not be aligned on byte boundaries so we shift the lower and upper
   360  // bits and compose two sets of 128 bits sequences (VPSLLQ, VPSRLQ, VBLENDPD),
   361  // merge them and write the 16 bytes result to the output buffer.
   362  TEXT ·encodeMiniBlockInt32x3to16bitsAVX2(SB), NOSPLIT, $0-24
   363      MOVQ dst+0(FP), AX
   364      MOVQ src+8(FP), BX
   365      MOVQ bitWidth+16(FP), CX
   366  
   367      VPBROADCASTQ bitWidth+16(FP), Y6 // [1*bitWidth...]
   368      VPSLLQ $1, Y6, Y7                // [2*bitWidth...]
   369      VPADDQ Y6, Y7, Y8                // [3*bitWidth...]
   370      VPSLLQ $2, Y6, Y9                // [4*bitWidth...]
   371  
   372      VPBROADCASTQ sixtyfour<>(SB), Y10
   373      VPSUBQ Y6, Y10, Y11 // [64-1*bitWidth...]
   374      VPSUBQ Y9, Y10, Y12 // [64-4*bitWidth...]
   375      VPCMPEQQ Y4, Y4, Y4
   376      VPSRLVQ Y11, Y4, Y4
   377  
   378      VPXOR Y5, Y5, Y5
   379      XORQ SI, SI
   380  loop:
   381      VMOVDQU (BX)(SI*4), Y0
   382      VPSHUFD $0b01010101, Y0, Y1
   383      VPSHUFD $0b10101010, Y0, Y2
   384      VPSHUFD $0b11111111, Y0, Y3
   385  
   386      VPAND Y4, Y0, Y0
   387      VPAND Y4, Y1, Y1
   388      VPAND Y4, Y2, Y2
   389      VPAND Y4, Y3, Y3
   390  
   391      VPSLLVQ Y6, Y1, Y1
   392      VPSLLVQ Y7, Y2, Y2
   393      VPSLLVQ Y8, Y3, Y3
   394  
   395      VPOR Y1, Y0, Y0
   396      VPOR Y3, Y2, Y2
   397      VPOR Y2, Y0, Y0
   398  
   399      VPERMQ $0b00001010, Y0, Y1
   400  
   401      VPSLLVQ X9, X1, X2
   402      VPSRLQ X12, X1, X3
   403      VBLENDPD $0b10, X3, X2, X1
   404      VBLENDPD $0b10, X5, X0, X0
   405      VPOR X1, X0, X0
   406  
   407      VMOVDQU X0, (AX)
   408  
   409      ADDQ CX, AX
   410      ADDQ $8, SI
   411      CMPQ SI, $miniBlockSize
   412      JNE loop
   413      VZEROUPPER
   414      RET
   415  
   416  GLOBL sixtyfour<>(SB), RODATA|NOPTR, $32
   417  DATA sixtyfour<>+0(SB)/8, $64
   418  DATA sixtyfour<>+8(SB)/8, $64
   419  DATA sixtyfour<>+16(SB)/8, $64
   420  DATA sixtyfour<>+24(SB)/8, $64
   421  
   422  // func decodeBlockInt32Default(dst []int32, minDelta, lastValue int32) int32
   423  TEXT ·decodeBlockInt32Default(SB), NOSPLIT, $0-36
   424      MOVQ dst_base+0(FP), AX
   425      MOVQ dst_len+8(FP), BX
   426      MOVLQZX minDelta+24(FP), CX
   427      MOVLQZX lastValue+28(FP), DX
   428      XORQ SI, SI
   429      JMP test
   430  loop:
   431      MOVL (AX)(SI*4), DI
   432      ADDL CX, DI
   433      ADDL DI, DX
   434      MOVL DX, (AX)(SI*4)
   435      INCQ SI
   436  test:
   437      CMPQ SI, BX
   438      JNE loop
   439  done:
   440      MOVL DX, ret+32(FP)
   441      RET
   442  
   443  // func decodeBlockInt32AVX2(dst []int32, minDelta, lastValue int32) int32
   444  TEXT ·decodeBlockInt32AVX2(SB), NOSPLIT, $0-36
   445      MOVQ dst_base+0(FP), AX
   446      MOVQ dst_len+8(FP), BX
   447      MOVLQZX minDelta+24(FP), CX
   448      MOVLQZX lastValue+28(FP), DX
   449      XORQ SI, SI
   450  
   451      CMPQ BX, $8
   452      JB test
   453  
   454      MOVQ BX, DI
   455      SHRQ $3, DI
   456      SHLQ $3, DI
   457  
   458      VPXOR X1, X1, X1
   459      MOVQ CX, X0
   460      MOVQ DX, X1
   461      VPBROADCASTD X0, Y0
   462  loopAVX2:
   463      VMOVDQU (AX)(SI*4), Y2
   464      VPADDD Y0, Y2, Y2 // Y2[:] += minDelta
   465      VPADDD Y1, Y2, Y2 // Y2[0] += lastValue
   466  
   467      VPSLLDQ $4, Y2, Y3
   468      VPADDD Y3, Y2, Y2
   469  
   470      VPSLLDQ $8, Y2, Y3
   471      VPADDD Y3, Y2, Y2
   472  
   473      VPSHUFD $0xFF, X2, X1
   474      VPERM2I128 $1, Y2, Y2, Y3
   475      VPADDD X1, X3, X3
   476  
   477      VMOVDQU X2, (AX)(SI*4)
   478      VMOVDQU X3, 16(AX)(SI*4)
   479      VPSRLDQ $12, X3, X1 // lastValue
   480  
   481      ADDQ $8, SI
   482      CMPQ SI, DI
   483      JNE loopAVX2
   484      VZEROUPPER
   485      MOVQ X1, DX
   486      JMP test
   487  loop:
   488      MOVL (AX)(SI*4), DI
   489      ADDL CX, DI
   490      ADDL DI, DX
   491      MOVL DX, (AX)(SI*4)
   492      INCQ SI
   493  test:
   494      CMPQ SI, BX
   495      JNE loop
   496  done:
   497      MOVL DX, ret+32(FP)
   498      RET
   499  
   500  // -----------------------------------------------------------------------------
   501  // 64 bits
   502  // -----------------------------------------------------------------------------
   503  
   504  #define deltaInt64AVX2x4(baseAddr)  \
   505      VMOVDQU baseAddr, Y1            \ // [0,1,2,3]
   506      VPERMQ $0b10010011, Y1, Y2      \ // [3,0,1,2]
   507      VPBLENDD $3, Y0, Y2, Y2         \ // [x,0,1,2]
   508      VPSUBQ Y2, Y1, Y2               \ // [0,1,2,3] - [x,0,1,2]
   509      VMOVDQU Y2, baseAddr            \
   510      VPERMQ $0b10010011, Y1, Y0
   511  
   512  // func blockDeltaInt64AVX2(block *[blockSize]int64, lastValue int64) int64
   513  TEXT ·blockDeltaInt64AVX2(SB), NOSPLIT, $0-24
   514      MOVQ block+0(FP), AX
   515      MOVQ 8*blockSize-8(AX), CX
   516      MOVQ CX, ret+16(FP)
   517  
   518      VPBROADCASTQ lastValue+8(FP), Y0
   519      XORQ SI, SI
   520  loop:
   521      deltaInt64AVX2x4((AX)(SI*8))
   522      deltaInt64AVX2x4(32(AX)(SI*8))
   523      deltaInt64AVX2x4(64(AX)(SI*8))
   524      deltaInt64AVX2x4(96(AX)(SI*8))
   525      ADDQ $16, SI
   526      CMPQ SI, $blockSize
   527      JNE loop
   528      VZEROUPPER
   529      RET
   530  
   531  // vpminsq is an emulation of the AVX-512 VPMINSQ instruction with AVX2.
   532  #define vpminsq(ones, tmp, arg2, arg1, ret) \
   533      VPCMPGTQ arg1, arg2, tmp \
   534      VPBLENDVB tmp, arg1, arg2, ret
   535  
   536  // func blockMinInt64AVX2(block *[blockSize]int64) int64
   537  TEXT ·blockMinInt64AVX2(SB), NOSPLIT, $0-16
   538      MOVQ block+0(FP), AX
   539      XORQ SI, SI
   540      VPCMPEQQ Y9, Y9, Y9 // ones
   541      VPBROADCASTQ (AX), Y0
   542  loop:
   543      VMOVDQU 0(AX)(SI*8), Y1
   544      VMOVDQU 32(AX)(SI*8), Y2
   545      VMOVDQU 64(AX)(SI*8), Y3
   546      VMOVDQU 96(AX)(SI*8), Y4
   547      VMOVDQU 128(AX)(SI*8), Y5
   548      VMOVDQU 160(AX)(SI*8), Y6
   549      VMOVDQU 192(AX)(SI*8), Y7
   550      VMOVDQU 224(AX)(SI*8), Y8
   551  
   552      vpminsq(Y9, Y10, Y0, Y1, Y1)
   553      vpminsq(Y9, Y11, Y0, Y2, Y2)
   554      vpminsq(Y9, Y12, Y0, Y3, Y3)
   555      vpminsq(Y9, Y13, Y0, Y4, Y4)
   556      vpminsq(Y9, Y14, Y0, Y5, Y5)
   557      vpminsq(Y9, Y15, Y0, Y6, Y6)
   558      vpminsq(Y9, Y10, Y0, Y7, Y7)
   559      vpminsq(Y9, Y11, Y0, Y8, Y8)
   560  
   561      vpminsq(Y9, Y12, Y2, Y1, Y1)
   562      vpminsq(Y9, Y13, Y4, Y3, Y3)
   563      vpminsq(Y9, Y14, Y6, Y5, Y5)
   564      vpminsq(Y9, Y15, Y8, Y7, Y7)
   565  
   566      vpminsq(Y9, Y10, Y3, Y1, Y1)
   567      vpminsq(Y9, Y11, Y7, Y5, Y5)
   568      vpminsq(Y9, Y12, Y5, Y1, Y0)
   569  
   570      ADDQ $32, SI
   571      CMPQ SI, $blockSize
   572      JNE loop
   573  
   574      VPERM2I128 $1, Y0, Y0, Y1
   575      vpminsq(Y9, Y10, Y1, Y0, Y0)
   576  
   577      MOVQ X0, CX
   578      VPEXTRQ $1, X0, BX
   579      CMPQ CX, BX
   580      CMOVQLT CX, BX
   581      MOVQ BX, ret+8(FP)
   582      VZEROUPPER
   583      RET
   584  
   585  #define subInt64AVX2x32(baseAddr, offset) \
   586      VMOVDQU offset+0(baseAddr), Y1      \
   587      VMOVDQU offset+32(baseAddr), Y2     \
   588      VMOVDQU offset+64(baseAddr), Y3     \
   589      VMOVDQU offset+96(baseAddr), Y4     \
   590      VMOVDQU offset+128(baseAddr), Y5    \
   591      VMOVDQU offset+160(baseAddr), Y6    \
   592      VMOVDQU offset+192(baseAddr), Y7    \
   593      VMOVDQU offset+224(baseAddr), Y8    \
   594      VPSUBQ Y0, Y1, Y1                   \
   595      VPSUBQ Y0, Y2, Y2                   \
   596      VPSUBQ Y0, Y3, Y3                   \
   597      VPSUBQ Y0, Y4, Y4                   \
   598      VPSUBQ Y0, Y5, Y5                   \
   599      VPSUBQ Y0, Y6, Y6                   \
   600      VPSUBQ Y0, Y7, Y7                   \
   601      VPSUBQ Y0, Y8, Y8                   \
   602      VMOVDQU Y1, offset+0(baseAddr)      \
   603      VMOVDQU Y2, offset+32(baseAddr)     \
   604      VMOVDQU Y3, offset+64(baseAddr)     \
   605      VMOVDQU Y4, offset+96(baseAddr)     \
   606      VMOVDQU Y5, offset+128(baseAddr)    \
   607      VMOVDQU Y6, offset+160(baseAddr)    \
   608      VMOVDQU Y7, offset+192(baseAddr)    \
   609      VMOVDQU Y8, offset+224(baseAddr)
   610  
   611  // func blockSubInt64AVX2(block *[blockSize]int64, value int64)
   612  TEXT ·blockSubInt64AVX2(SB), NOSPLIT, $0-16
   613      MOVQ block+0(FP), AX
   614      VPBROADCASTQ value+8(FP), Y0
   615      subInt64AVX2x32(AX, 0)
   616      subInt64AVX2x32(AX, 256)
   617      subInt64AVX2x32(AX, 512)
   618      subInt64AVX2x32(AX, 768)
   619      VZEROUPPER
   620      RET
   621  
   622  // vpmaxsq is an emulation of the AVX-512 VPMAXSQ instruction with AVX2.
   623  #define vpmaxsq(tmp, arg2, arg1, ret) \
   624      VPCMPGTQ arg2, arg1, tmp \
   625      VPBLENDVB tmp, arg1, arg2, ret
   626  
   627  // func blockBitWidthsInt64AVX2(bitWidths *[numMiniBlocks]byte, block *[blockSize]int64)
   628  TEXT ·blockBitWidthsInt64AVX2(SB), NOSPLIT, $0-16
   629      MOVQ bitWidths+0(FP), AX
   630      MOVQ block+8(FP), BX
   631  
   632      // AVX2 only has signed comparisons (and min/max), we emulate working on
   633      // unsigned values by adding -2^64 to the values. Y9 is a vector of -2^64
   634      // used to offset 4 packed 64 bits integers in other YMM registers where
   635      // the block data are loaded.
   636      VPCMPEQQ Y9, Y9, Y9
   637      VPSLLQ $63, Y9, Y9
   638  
   639      XORQ DI, DI
   640  loop:
   641      VPBROADCASTQ (BX), Y0 // max
   642      VPADDQ Y9, Y0, Y0
   643  
   644      VMOVDQU (BX), Y1
   645      VMOVDQU 32(BX), Y2
   646      VMOVDQU 64(BX), Y3
   647      VMOVDQU 96(BX), Y4
   648      VMOVDQU 128(BX), Y5
   649      VMOVDQU 160(BX), Y6
   650      VMOVDQU 192(BX), Y7
   651      VMOVDQU 224(BX), Y8
   652  
   653      VPADDQ Y9, Y1, Y1
   654      VPADDQ Y9, Y2, Y2
   655      VPADDQ Y9, Y3, Y3
   656      VPADDQ Y9, Y4, Y4
   657      VPADDQ Y9, Y5, Y5
   658      VPADDQ Y9, Y6, Y6
   659      VPADDQ Y9, Y7, Y7
   660      VPADDQ Y9, Y8, Y8
   661  
   662      vpmaxsq(Y10, Y2, Y1, Y1)
   663      vpmaxsq(Y11, Y4, Y3, Y3)
   664      vpmaxsq(Y12, Y6, Y5, Y5)
   665      vpmaxsq(Y13, Y8, Y7, Y7)
   666  
   667      vpmaxsq(Y10, Y3, Y1, Y1)
   668      vpmaxsq(Y11, Y7, Y5, Y5)
   669      vpmaxsq(Y12, Y5, Y1, Y1)
   670      vpmaxsq(Y13, Y1, Y0, Y0)
   671  
   672      VPERM2I128 $1, Y0, Y0, Y1
   673      vpmaxsq(Y10, Y1, Y0, Y0)
   674      VPSUBQ Y9, Y0, Y0
   675  
   676      MOVQ X0, CX
   677      VPEXTRQ $1, X0, DX
   678      CMPQ CX, DX
   679      CMOVQHI CX, DX
   680  
   681      LZCNTQ DX, DX
   682      NEGQ DX
   683      ADDQ $64, DX
   684      MOVB DX, (AX)(DI*1)
   685  
   686      ADDQ $256, BX
   687      INCQ DI
   688      CMPQ DI, $numMiniBlocks
   689      JNE loop
   690      VZEROUPPER
   691      RET
   692  
   693  // encodeMiniBlockInt64Default is the generic implementation of the algorithm to
   694  // pack 64 bit integers into values of a given bit width (<=64).
   695  //
   696  // This algorithm is much slower than the vectorized versions, but is useful
   697  // as a reference implementation to run the tests against, and as fallback when
   698  // the code runs on a CPU which does not support the AVX2 instruction set.
   699  //
   700  // func encodeMiniBlockInt64Default(dst *byte, src *[miniBlockSize]int64, bitWidth uint)
   701  TEXT ·encodeMiniBlockInt64Default(SB), NOSPLIT, $0-24
   702      MOVQ dst+0(FP), AX
   703      MOVQ src+8(FP), BX
   704      MOVQ bitWidth+16(FP), R10
   705  
   706      XORQ R11, R11 // zero
   707      XORQ DI, DI // bitOffset
   708      XORQ SI, SI
   709  loop:
   710      MOVQ DI, CX
   711      MOVQ DI, DX
   712  
   713      ANDQ $0b111111, CX // bitOffset % 64
   714      SHRQ $6, DX        // bitOffset / 64
   715  
   716      MOVQ (BX)(SI*8), R8
   717      MOVQ R8, R9
   718      SHLQ CX, R8
   719      NEGQ CX
   720      ADDQ $64, CX
   721      SHRQ CX, R9
   722      CMPQ CX, $64
   723      CMOVQEQ R11, R9 // needed because shifting by more than 63 is undefined
   724  
   725      ORQ R8, 0(AX)(DX*8)
   726      ORQ R9, 8(AX)(DX*8)
   727  
   728      ADDQ R10, DI
   729      INCQ SI
   730      CMPQ SI, $miniBlockSize
   731      JNE loop
   732      RET
   733  
   734  // func encodeMiniBlockInt64x1bitAVX2(dst *byte, src *[miniBlockSize]int64)
   735  TEXT ·encodeMiniBlockInt64x1bitAVX2(SB), NOSPLIT, $0-16
   736      MOVQ dst+0(FP), AX
   737      MOVQ src+8(FP), BX
   738  
   739      VMOVDQU 0(BX), Y0
   740      VMOVDQU 32(BX), Y1
   741      VMOVDQU 64(BX), Y2
   742      VMOVDQU 96(BX), Y3
   743      VMOVDQU 128(BX), Y4
   744      VMOVDQU 160(BX), Y5
   745      VMOVDQU 192(BX), Y6
   746      VMOVDQU 224(BX), Y7
   747  
   748      VPSLLQ $63, Y0, Y0
   749      VPSLLQ $63, Y1, Y1
   750      VPSLLQ $63, Y2, Y2
   751      VPSLLQ $63, Y3, Y3
   752      VPSLLQ $63, Y4, Y4
   753      VPSLLQ $63, Y5, Y5
   754      VPSLLQ $63, Y6, Y6
   755      VPSLLQ $63, Y7, Y7
   756  
   757      VMOVMSKPD Y0, R8
   758      VMOVMSKPD Y1, R9
   759      VMOVMSKPD Y2, R10
   760      VMOVMSKPD Y3, R11
   761      VMOVMSKPD Y4, R12
   762      VMOVMSKPD Y5, R13
   763      VMOVMSKPD Y6, R14
   764      VMOVMSKPD Y7, R15
   765  
   766      SHLL $4, R9
   767      SHLL $8, R10
   768      SHLL $12, R11
   769      SHLL $16, R12
   770      SHLL $20, R13
   771      SHLL $24, R14
   772      SHLL $28, R15
   773  
   774      ORL R9, R8
   775      ORL R11, R10
   776      ORL R13, R12
   777      ORL R15, R14
   778      ORL R10, R8
   779      ORL R14, R12
   780      ORL R12, R8
   781  
   782      MOVL R8, (AX)
   783      VZEROUPPER
   784      RET
   785  
   786  // func encodeMiniBlockInt64x2bitsAVX2(dst *byte, src *[miniBlockSize]int64)
   787  TEXT ·encodeMiniBlockInt64x2bitsAVX2(SB), NOSPLIT, $0-16
   788      MOVQ dst+0(FP), AX
   789      MOVQ src+8(FP), BX
   790  
   791      VMOVDQU 0(BX), Y8
   792      VMOVDQU 32(BX), Y9
   793      VMOVDQU 64(BX), Y10
   794      VMOVDQU 96(BX), Y11
   795      VMOVDQU 128(BX), Y12
   796      VMOVDQU 160(BX), Y13
   797      VMOVDQU 192(BX), Y14
   798      VMOVDQU 224(BX), Y15
   799  
   800      VPSLLQ $63, Y8, Y0
   801      VPSLLQ $63, Y9, Y1
   802      VPSLLQ $63, Y10, Y2
   803      VPSLLQ $63, Y11, Y3
   804      VPSLLQ $63, Y12, Y4
   805      VPSLLQ $63, Y13, Y5
   806      VPSLLQ $63, Y14, Y6
   807      VPSLLQ $63, Y15, Y7
   808  
   809      VMOVMSKPD Y0, R8
   810      VMOVMSKPD Y1, R9
   811      VMOVMSKPD Y2, R10
   812      VMOVMSKPD Y3, R11
   813      VMOVMSKPD Y4, R12
   814      VMOVMSKPD Y5, R13
   815      VMOVMSKPD Y6, R14
   816      VMOVMSKPD Y7, R15
   817  
   818      SHLQ $4, R9
   819      SHLQ $8, R10
   820      SHLQ $12, R11
   821      SHLQ $16, R12
   822      SHLQ $20, R13
   823      SHLQ $24, R14
   824      SHLQ $28, R15
   825  
   826      ORQ R9, R8
   827      ORQ R11, R10
   828      ORQ R13, R12
   829      ORQ R15, R14
   830      ORQ R10, R8
   831      ORQ R14, R12
   832      ORQ R12, R8
   833  
   834      MOVQ $0x5555555555555555, CX // 0b010101...
   835      PDEPQ CX, R8, CX
   836  
   837      VPSLLQ $62, Y8, Y8
   838      VPSLLQ $62, Y9, Y9
   839      VPSLLQ $62, Y10, Y10
   840      VPSLLQ $62, Y11, Y11
   841      VPSLLQ $62, Y12, Y12
   842      VPSLLQ $62, Y13, Y13
   843      VPSLLQ $62, Y14, Y14
   844      VPSLLQ $62, Y15, Y15
   845  
   846      VMOVMSKPD Y8, R8
   847      VMOVMSKPD Y9, R9
   848      VMOVMSKPD Y10, R10
   849      VMOVMSKPD Y11, R11
   850      VMOVMSKPD Y12, R12
   851      VMOVMSKPD Y13, R13
   852      VMOVMSKPD Y14, R14
   853      VMOVMSKPD Y15, R15
   854  
   855      SHLQ $4, R9
   856      SHLQ $8, R10
   857      SHLQ $12, R11
   858      SHLQ $16, R12
   859      SHLQ $20, R13
   860      SHLQ $24, R14
   861      SHLQ $28, R15
   862  
   863      ORQ R9, R8
   864      ORQ R11, R10
   865      ORQ R13, R12
   866      ORQ R15, R14
   867      ORQ R10, R8
   868      ORQ R14, R12
   869      ORQ R12, R8
   870  
   871      MOVQ $0xAAAAAAAAAAAAAAAA, DX // 0b101010...
   872      PDEPQ DX, R8, DX
   873      ORQ DX, CX
   874      MOVQ CX, (AX)
   875      VZEROUPPER
   876      RET
   877  
   878  // func encodeMiniBlockInt64x64bitsAVX2(dst *byte, src *[miniBlockSize]int64)
   879  TEXT ·encodeMiniBlockInt64x64bitsAVX2(SB), NOSPLIT, $0-16
   880      MOVQ dst+0(FP), AX
   881      MOVQ src+8(FP), BX
   882      VMOVDQU 0(BX), Y0
   883      VMOVDQU 32(BX), Y1
   884      VMOVDQU 64(BX), Y2
   885      VMOVDQU 96(BX), Y3
   886      VMOVDQU 128(BX), Y4
   887      VMOVDQU 160(BX), Y5
   888      VMOVDQU 192(BX), Y6
   889      VMOVDQU 224(BX), Y7
   890      VMOVDQU Y0, 0(AX)
   891      VMOVDQU Y1, 32(AX)
   892      VMOVDQU Y2, 64(AX)
   893      VMOVDQU Y3, 96(AX)
   894      VMOVDQU Y4, 128(AX)
   895      VMOVDQU Y5, 160(AX)
   896      VMOVDQU Y6, 192(AX)
   897      VMOVDQU Y7, 224(AX)
   898      VZEROUPPER
   899      RET
   900  
   901  // func decodeBlockInt64Default(dst []int64, minDelta, lastValue int64) int64
   902  TEXT ·decodeBlockInt64Default(SB), NOSPLIT, $0-48
   903      MOVQ dst_base+0(FP), AX
   904      MOVQ dst_len+8(FP), BX
   905      MOVQ minDelta+24(FP), CX
   906      MOVQ lastValue+32(FP), DX
   907      XORQ SI, SI
   908      JMP test
   909  loop:
   910      MOVQ (AX)(SI*8), DI
   911      ADDQ CX, DI
   912      ADDQ DI, DX
   913      MOVQ DX, (AX)(SI*8)
   914      INCQ SI
   915  test:
   916      CMPQ SI, BX
   917      JNE loop
   918  done:
   919      MOVQ DX, ret+40(FP)
   920      RET