skewed_associative.cc

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#include "mem/cache/tags/indexing_policies/skewed_associative.hh"

#include "base/bitfield.hh"
#include "base/intmath.hh"
#include "base/logging.hh"
#include "mem/cache/replacement_policies/replaceable_entry.hh"

SkewedAssociative::SkewedAssociative(const Params *p)
    : BaseIndexingPolicy(p), msbShift(floorLog2(numSets) - 1)
{
    if (assoc > NUM_SKEWING_FUNCTIONS) {
        warn_once("Associativity higher than number of skewing functions. " \
                  "Expect sub-optimal skewing.\n");
    }

    // Check if set is too big to do skewing. If using big sets, rewrite
    // skewing functions accordingly to make good use of the hashing function
    panic_if(setShift + 2 * (msbShift + 1) > 64, "Unsuported number of bits " \
             "for the skewing functions.");

    // We must have more than two sets, otherwise the MSB and LSB are the same
    // bit, and the xor of them will always be 0
    fatal_if(numSets <= 2, "The number of sets must be greater than 2");
}

Addr
SkewedAssociative::hash(const Addr addr) const
{
    // Get relevant bits
    const uint8_t lsb = bits<Addr>(addr, 0);
    const uint8_t msb = bits<Addr>(addr, msbShift);
    const uint8_t xor_bit = msb ^ lsb;

    // Shift-off LSB and set new MSB as xor of old LSB and MSB
    return insertBits<Addr, uint8_t>(addr >> 1, msbShift, xor_bit);
}

Addr
SkewedAssociative::dehash(const Addr addr) const
{
    // Get relevant bits. The original MSB is one bit away on the current MSB
    // (which is the XOR bit). The original LSB can be retrieved from inverting
    // the xor that generated the XOR bit.
    const uint8_t msb = bits<Addr>(addr, msbShift - 1);
    const uint8_t xor_bit = bits<Addr>(addr, msbShift);
    const uint8_t lsb = msb ^ xor_bit;

    // Remove current MSB (XOR bit), shift left and add LSB back
    const Addr addr_no_msb = mbits<Addr>(addr, msbShift - 1, 0);
    return insertBits<Addr, uint8_t>(addr_no_msb << 1, 0, lsb);
}

Addr
SkewedAssociative::skew(const Addr addr, const uint32_t way) const
{
    // Assume an address of size A bits can be decomposed into
    // {addr3, addr2, addr1, addr0}, where:
    //   addr0 (M bits) = Block offset;
    //   addr1 (N bits) = Set bits in conventional cache;
    //   addr3 (A - M - 2*N bits), addr2 (N bits) = Tag bits.
    // We use addr1 and addr2, as proposed in the original paper
    Addr addr1 = bits<Addr>(addr, msbShift, 0);
    const Addr addr2 = bits<Addr>(addr, 2 * (msbShift + 1) - 1, msbShift + 1);

    // Select and apply skewing function for given way
    switch (way % NUM_SKEWING_FUNCTIONS) {
      case 0:
        addr1 = hash(addr1) ^ hash(addr2) ^ addr2;
        break;
      case 1:
        addr1 = hash(addr1) ^ hash(addr2) ^ addr1;
        break;
      case 2:
        addr1 = hash(addr1) ^ dehash(addr2) ^ addr2;
        break;
      case 3:
        addr1 = hash(addr1) ^ dehash(addr2) ^ addr1;
        break;
      case 4:
        addr1 = dehash(addr1) ^ hash(addr2) ^ addr2;
        break;
      case 5:
        addr1 = dehash(addr1) ^ hash(addr2) ^ addr1;
        break;
      case 6:
        addr1 = dehash(addr1) ^ dehash(addr2) ^ addr2;
        break;
      case 7:
        addr1 = dehash(addr1) ^ dehash(addr2) ^ addr1;
        break;
      default:
        panic("A skewing function has not been implemented for this way.");
    }

    // If we have more than 8 ways, just pile them up on hashes. This is not
    // the optimal solution, and can be improved by adding more skewing
    // functions to the previous selector
    for (uint32_t i = 0; i < way/NUM_SKEWING_FUNCTIONS; i++) {
        addr1 = hash(addr1);
    }

    return addr1;
}

Addr
SkewedAssociative::deskew(const Addr addr, const uint32_t way) const
{
    // Get relevant bits of the addr
    Addr addr1 = bits<Addr>(addr, msbShift, 0);
    const Addr addr2 = bits<Addr>(addr, 2 * (msbShift + 1) - 1, msbShift + 1);

    // If we have more than NUM_SKEWING_FUNCTIONS ways, unpile the hashes
    if (way >= NUM_SKEWING_FUNCTIONS) {
        for (uint32_t i = 0; i < way/NUM_SKEWING_FUNCTIONS; i++) {
            addr1 = dehash(addr1);
        }
    }

    // Select and apply skewing function for given way
    switch (way % 8) {
      case 0:
        return dehash(addr1 ^ hash(addr2) ^ addr2);
      case 1:
        addr1 = addr1 ^ hash(addr2);
        for (int i = 0; i < msbShift; i++) {
            addr1 = hash(addr1);
        }
        return addr1;
      case 2:
        return dehash(addr1 ^ dehash(addr2) ^ addr2);
      case 3:
        addr1 = addr1 ^ dehash(addr2);
        for (int i = 0; i < msbShift; i++) {
            addr1 = hash(addr1);
        }
        return addr1;
      case 4:
        return hash(addr1 ^ hash(addr2) ^ addr2);
      case 5:
        addr1 = addr1 ^ hash(addr2);
        for (int i = 0; i <= msbShift; i++) {
            addr1 = hash(addr1);
        }
        return addr1;
      case 6:
        return hash(addr1 ^ dehash(addr2) ^ addr2);
      case 7:
        addr1 = addr1 ^ dehash(addr2);
        for (int i = 0; i <= msbShift; i++) {
            addr1 = hash(addr1);
        }
        return addr1;
      default:
        panic("A skewing function has not been implemented for this way.");
    }
}

uint32_t
SkewedAssociative::extractSet(const Addr addr, const uint32_t way) const
{
    return skew(addr >> setShift, way) & setMask;
}

Addr
SkewedAssociative::regenerateAddr(const Addr tag,
                                  const ReplaceableEntry* entry) const
{
    const Addr addr_set = (tag << (msbShift + 1)) | entry->getSet();
    return (tag << tagShift) |
           ((deskew(addr_set, entry->getWay()) & setMask) << setShift);
}

std::vector<ReplaceableEntry*>
SkewedAssociative::getPossibleEntries(const Addr addr) const
{
    std::vector<ReplaceableEntry*> entries;

    // Parse all ways
    for (uint32_t way = 0; way < assoc; ++way) {
        // Apply hash to get set, and get way entry in it
        entries.push_back(sets[extractSet(addr, way)][way]);
    }

    return entries;
}

SkewedAssociative *
SkewedAssociativeParams::create()
{
    return new SkewedAssociative(this);
}