如何优化反转位组的顺序

问题描述 投票:2回答:3

基本上,我有8个数据,每个2位(4个状态),存储在32位整数的16个LSB中。我想颠倒数据片的顺序来做一些模式匹配。

我给了一个参考整数和8个候选,我需要匹配其中一个候选参考。然而,匹配候选者可以以某种可预测的方式变换。

如果参考数据的格式为[0,1,2,3,5,5,7],那么可能的匹配可以是以下8种形式之一:

[0,1,2,3,4,5,6,7], [0,7,6,5,4,3,2,1]
[6,7,0,1,2,3,4,5], [2,1,0,7,6,5,4,3]
[4,5,6,7,0,1,2,3], [4,3,2,1,0,7,6,5]
[2,3,4,5,6,7,0,1], [6,5,4,3,2,1,0,7]

模式是数据始终按顺序排列,但可以反转和旋转。

我在C和MIPS中实现这一点。我有两个工作,但他们看起来很笨重。我目前的方法是将每个部分与原始部分进行屏蔽,将其移至新位置,并将其与新变量(初始化为0)进行对比。

我在C中做了更多的硬编码:

int ref = 4941; // reference value, original order [1,3,0,1,3,0,1,0], (encoded as 0b0001001101001101)
int rev = 0;
rev |= ((ref & 0x0003) << 14) | ((ref & 0x000C) << 10) | ((ref & 0x0030) << 6) | ((ref & 0x00C0) << 2); // move bottom 8 bits to top
rev |= ((ref & 0xC000) >> 14) | ((ref & 0x3000) >> 10) | ((ref & 0x0C00) >> 6) | ((ref & 0x0300) >> 2); // move top 8 bits to bottom
// rev = 29124 reversed order [0,1,0,3,1,0,3,1], (0b0111000111000100)

我在MIPS中实现了一个循环来尝试减少静态指令:

        lw      $01, Reference($00) # load reference value
        addi    $04, $00, 4         # initialize $04 as Loop counter
        addi    $05, $00, 14            # initialize $05 to hold shift value
        addi    $06, $00, 3         # initialize $06 to hold mask (one piece of data)

# Reverse the order of data in Reference and store it in $02
Loop:   addi    $04, $04, -1            # decrement Loop counter
        and     $03, $01, $06       # mask out one piece ($03 = Reference & $06) 
        sllv    $03, $03, $05       # shift piece to new position ($03 <<= $05)
        or      $02, $02, $03       # put piece into $02 ($02 |= $03)
        sllv    $06, $06, $05       # shift mask for next piece
        and     $03, $01, $06       # mask out next piece (#03 = Reference & $06)
        srlv    $03, $03, $05       # shift piece to new position ($03 >>= $05)
        or      $02, $02, $03       # put new piece into $02 ($02 |= $03)
        srlv    $06, $06, $05       # shift mask back
        addi    $05, $05, -4            # decrease shift amount by 4
        sll     $06, $06, 2         # shift mask for next loop
        bne     $04, $00, Loop      # keep looping while $04 != 0

有没有办法实现这个更简单或至少更少的指令?

c mips
3个回答
0
投票

要反转您的位,您可以使用以下代码。

static int rev(int v){
  // swap adjacent pairs of bits
  v = ((v >> 2) & 0x3333) | ((v & 0x3333) << 2);
  // swap nibbles
  v = ((v >> 4) & 0x0f0f) | ((v & 0x0f0f) << 4);
  // swap bytes
  v = ((v >> 8) & 0x00ff) | ((v & 0x00ff) << 8);
  return v;
}

MIPS实现是15条指令。

rev: # value to reverse in $01
     # uses $02 reg
   srli $02, $01, 2
   andi $02, $02, 0x3333
   andi $01, $01, 0x3333
   slli $01, $01, 2
   or   $01, $01, $02
   srli $02, $01, 4
   andi $02, $02, 0x0f0f
   andi $01, $01, 0x0f0f
   slli $01, $01, 4
   or   $01, $01, $02
   srli $02, $01, 8
   andi $02, $02, 0xff
   andi $01, $01, 0xff
   slli $01, $01, 8
   or   $01, $01, $02
   # result in $01

请注意,您可以通过将常数加倍(甚至64位机器上的4)来同时反转2x16bits。但我不确定它对你的情况有用。


0
投票

注意:谨慎使用手写优化组件,如果您真的在紧密循环中使用编译器生成,那么确实存在特定于处理器的优化。

你可以改进pipeline,(如果你用C代码编译器为你编写代码)并使用bne指令的延迟槽。这将改善你的instruction level parallelism

假设您有类似Mips处理器的东西,具有1个延迟槽和5级流水线(指令获取,解码,执行,存储器,写回)。

这条管道引入Read After Write危害数据依赖大多数是在$3登记。

RaW hasard导致您的管道停转。

# Reverse the order of data in Reference and store it in $02
Loop:   and     $03, $01, $06       # mask out one piece ($03 = Reference & $06)
        addi    $04, $04, -1        # decrement Loop counter (RaW on $3)
        sllv    $03, $03, $05       # shift piece to new position ($03 <<= $05)
        sllv    $06, $06, $05       # shift mask for next piece
        or      $02, $02, $03       # put piece into $02 ($02 |= $03)
        and     $03, $01, $06       # mask out next piece (#03 = Reference & $06)
        srlv    $06, $06, $05       # shift mask back
        srlv    $03, $03, $05       # shift piece to new position ($03 >>= $05)
        addi    $05, $05, -4        # decrease shift amount by 4
        or      $02, $02, $03       # put new piece into $02 ($02 |= $03)
        bne     $04, $00, Loop      # keep looping while $04 != 0
        sll     $06, $06, 2         # shift mask for next loop

如果您有超标量处理器,则解决方案需要进行一些更改。


0
投票

对于一种非常简单有效的方法,使用256字节的查找表并执行2次查找:

extern unsigned char const xtable[256];

unsigned int ref = 4149;
unsigned int rev = (xtable[ref & 0xFF] << 8) | xtable[ref >> 8];

xtable数组可以通过一组宏静态初始化:

#define S(x)  ((((x) & 0x0003) << 14) | (((x) & 0x000C) << 10) | \
               (((x) & 0x0030) <<  6) | (((x) & 0x00C0) <<  2) | \
               (((x) & 0xC000) >> 14) | (((x) & 0x3000) >> 10) | \
               (((x) & 0x0C00) >>  6) | (((x) & 0x0300) >>  2))
#define X8(m,n)   m((n)+0), m((n)+1), m((n)+2), m((n)+3), \
                  m((n)+4), m((n)+5), m((n)+6), m((n)+7)
#define X32(m,n)  X8(m,(n)), X8(m,(n)+8), X8(m,(n)+16), X8(m,(n)+24)

unsigned char const xtable[256] = {
    X32(S,   0), X32(S,  32), X32(S,  64), X32(S,  96),
    X32(S, 128), X32(S, 160), X32(S, 192), X32(S, 224),
};

#undef S
#undef X8
#undef X32

如果空间不贵,您可以使用单个查找到128K字节的表,您可以在启动时计算或使用脚本生成并包含在编译时,但它有点浪费,而且不缓存。

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