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      1 //===-------------- lib/Support/BranchProbability.cpp -----------*- C++ -*-===//
      2 //
      3 //                     The LLVM Compiler Infrastructure
      4 //
      5 // This file is distributed under the University of Illinois Open Source
      6 // License. See LICENSE.TXT for details.
      7 //
      8 //===----------------------------------------------------------------------===//
      9 //
     10 // This file implements Branch Probability class.
     11 //
     12 //===----------------------------------------------------------------------===//
     13 
     14 #include "llvm/Support/BranchProbability.h"
     15 #include "llvm/Support/Debug.h"
     16 #include "llvm/Support/Format.h"
     17 #include "llvm/Support/raw_ostream.h"
     18 #include <cassert>
     19 
     20 using namespace llvm;
     21 
     22 const uint32_t BranchProbability::D;
     23 
     24 raw_ostream &BranchProbability::print(raw_ostream &OS) const {
     25   if (isUnknown())
     26     return OS << "?%";
     27 
     28   // Get a percentage rounded to two decimal digits. This avoids
     29   // implementation-defined rounding inside printf.
     30   double Percent = rint(((double)N / D) * 100.0 * 100.0) / 100.0;
     31   return OS << format("0x%08" PRIx32 " / 0x%08" PRIx32 " = %.2f%%", N, D,
     32                       Percent);
     33 }
     34 
     35 LLVM_DUMP_METHOD void BranchProbability::dump() const { print(dbgs()) << '\n'; }
     36 
     37 BranchProbability::BranchProbability(uint32_t Numerator, uint32_t Denominator) {
     38   assert(Denominator > 0 && "Denominator cannot be 0!");
     39   assert(Numerator <= Denominator && "Probability cannot be bigger than 1!");
     40   if (Denominator == D)
     41     N = Numerator;
     42   else {
     43     uint64_t Prob64 =
     44         (Numerator * static_cast<uint64_t>(D) + Denominator / 2) / Denominator;
     45     N = static_cast<uint32_t>(Prob64);
     46   }
     47 }
     48 
     49 BranchProbability
     50 BranchProbability::getBranchProbability(uint64_t Numerator,
     51                                         uint64_t Denominator) {
     52   assert(Numerator <= Denominator && "Probability cannot be bigger than 1!");
     53   // Scale down Denominator to fit in a 32-bit integer.
     54   int Scale = 0;
     55   while (Denominator > UINT32_MAX) {
     56     Denominator >>= 1;
     57     Scale++;
     58   }
     59   return BranchProbability(Numerator >> Scale, Denominator);
     60 }
     61 
     62 // If ConstD is not zero, then replace D by ConstD so that division and modulo
     63 // operations by D can be optimized, in case this function is not inlined by the
     64 // compiler.
     65 template <uint32_t ConstD>
     66 static uint64_t scale(uint64_t Num, uint32_t N, uint32_t D) {
     67   if (ConstD > 0)
     68     D = ConstD;
     69 
     70   assert(D && "divide by 0");
     71 
     72   // Fast path for multiplying by 1.0.
     73   if (!Num || D == N)
     74     return Num;
     75 
     76   // Split Num into upper and lower parts to multiply, then recombine.
     77   uint64_t ProductHigh = (Num >> 32) * N;
     78   uint64_t ProductLow = (Num & UINT32_MAX) * N;
     79 
     80   // Split into 32-bit digits.
     81   uint32_t Upper32 = ProductHigh >> 32;
     82   uint32_t Lower32 = ProductLow & UINT32_MAX;
     83   uint32_t Mid32Partial = ProductHigh & UINT32_MAX;
     84   uint32_t Mid32 = Mid32Partial + (ProductLow >> 32);
     85 
     86   // Carry.
     87   Upper32 += Mid32 < Mid32Partial;
     88 
     89   // Check for overflow.
     90   if (Upper32 >= D)
     91     return UINT64_MAX;
     92 
     93   uint64_t Rem = (uint64_t(Upper32) << 32) | Mid32;
     94   uint64_t UpperQ = Rem / D;
     95 
     96   // Check for overflow.
     97   if (UpperQ > UINT32_MAX)
     98     return UINT64_MAX;
     99 
    100   Rem = ((Rem % D) << 32) | Lower32;
    101   uint64_t LowerQ = Rem / D;
    102   uint64_t Q = (UpperQ << 32) + LowerQ;
    103 
    104   // Check for overflow.
    105   return Q < LowerQ ? UINT64_MAX : Q;
    106 }
    107 
    108 uint64_t BranchProbability::scale(uint64_t Num) const {
    109   return ::scale<D>(Num, N, D);
    110 }
    111 
    112 uint64_t BranchProbability::scaleByInverse(uint64_t Num) const {
    113   return ::scale<0>(Num, D, N);
    114 }
    115