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      1 // Copyright 2011 the V8 project authors. All rights reserved.
      2 // Redistribution and use in source and binary forms, with or without
      3 // modification, are permitted provided that the following conditions are
      4 // met:
      5 //
      6 //     * Redistributions of source code must retain the above copyright
      7 //       notice, this list of conditions and the following disclaimer.
      8 //     * Redistributions in binary form must reproduce the above
      9 //       copyright notice, this list of conditions and the following
     10 //       disclaimer in the documentation and/or other materials provided
     11 //       with the distribution.
     12 //     * Neither the name of Google Inc. nor the names of its
     13 //       contributors may be used to endorse or promote products derived
     14 //       from this software without specific prior written permission.
     15 //
     16 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
     17 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
     18 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
     19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
     20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
     21 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
     22 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
     23 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
     24 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
     25 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
     26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     27 
     28 #ifndef V8_DIY_FP_H_
     29 #define V8_DIY_FP_H_
     30 
     31 namespace v8 {
     32 namespace internal {
     33 
     34 // This "Do It Yourself Floating Point" class implements a floating-point number
     35 // with a uint64 significand and an int exponent. Normalized DiyFp numbers will
     36 // have the most significant bit of the significand set.
     37 // Multiplication and Subtraction do not normalize their results.
     38 // DiyFp are not designed to contain special doubles (NaN and Infinity).
     39 class DiyFp {
     40  public:
     41   static const int kSignificandSize = 64;
     42 
     43   DiyFp() : f_(0), e_(0) {}
     44   DiyFp(uint64_t f, int e) : f_(f), e_(e) {}
     45 
     46   // this = this - other.
     47   // The exponents of both numbers must be the same and the significand of this
     48   // must be bigger than the significand of other.
     49   // The result will not be normalized.
     50   void Subtract(const DiyFp& other) {
     51     ASSERT(e_ == other.e_);
     52     ASSERT(f_ >= other.f_);
     53     f_ -= other.f_;
     54   }
     55 
     56   // Returns a - b.
     57   // The exponents of both numbers must be the same and this must be bigger
     58   // than other. The result will not be normalized.
     59   static DiyFp Minus(const DiyFp& a, const DiyFp& b) {
     60     DiyFp result = a;
     61     result.Subtract(b);
     62     return result;
     63   }
     64 
     65 
     66   // this = this * other.
     67   void Multiply(const DiyFp& other);
     68 
     69   // returns a * b;
     70   static DiyFp Times(const DiyFp& a, const DiyFp& b) {
     71     DiyFp result = a;
     72     result.Multiply(b);
     73     return result;
     74   }
     75 
     76   void Normalize() {
     77     ASSERT(f_ != 0);
     78     uint64_t f = f_;
     79     int e = e_;
     80 
     81     // This method is mainly called for normalizing boundaries. In general
     82     // boundaries need to be shifted by 10 bits. We thus optimize for this case.
     83     const uint64_t k10MSBits = static_cast<uint64_t>(0x3FF) << 54;
     84     while ((f & k10MSBits) == 0) {
     85       f <<= 10;
     86       e -= 10;
     87     }
     88     while ((f & kUint64MSB) == 0) {
     89       f <<= 1;
     90       e--;
     91     }
     92     f_ = f;
     93     e_ = e;
     94   }
     95 
     96   static DiyFp Normalize(const DiyFp& a) {
     97     DiyFp result = a;
     98     result.Normalize();
     99     return result;
    100   }
    101 
    102   uint64_t f() const { return f_; }
    103   int e() const { return e_; }
    104 
    105   void set_f(uint64_t new_value) { f_ = new_value; }
    106   void set_e(int new_value) { e_ = new_value; }
    107 
    108  private:
    109   static const uint64_t kUint64MSB = static_cast<uint64_t>(1) << 63;
    110 
    111   uint64_t f_;
    112   int e_;
    113 };
    114 
    115 } }  // namespace v8::internal
    116 
    117 #endif  // V8_DIY_FP_H_
    118