Index: runtime/third_party/double-conversion/src/ieee.h |
=================================================================== |
--- runtime/third_party/double-conversion/src/ieee.h (revision 0) |
+++ runtime/third_party/double-conversion/src/ieee.h (working copy) |
@@ -0,0 +1,402 @@ |
+// Copyright 2012 the V8 project authors. All rights reserved. |
+// Redistribution and use in source and binary forms, with or without |
+// modification, are permitted provided that the following conditions are |
+// met: |
+// |
+// * Redistributions of source code must retain the above copyright |
+// notice, this list of conditions and the following disclaimer. |
+// * Redistributions in binary form must reproduce the above |
+// copyright notice, this list of conditions and the following |
+// disclaimer in the documentation and/or other materials provided |
+// with the distribution. |
+// * Neither the name of Google Inc. nor the names of its |
+// contributors may be used to endorse or promote products derived |
+// from this software without specific prior written permission. |
+// |
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT |
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
+ |
+#ifndef DOUBLE_CONVERSION_DOUBLE_H_ |
+#define DOUBLE_CONVERSION_DOUBLE_H_ |
+ |
+#include "diy-fp.h" |
+ |
+namespace double_conversion { |
+ |
+// We assume that doubles and uint64_t have the same endianness. |
+static uint64_t double_to_uint64(double d) { return BitCast<uint64_t>(d); } |
+static double uint64_to_double(uint64_t d64) { return BitCast<double>(d64); } |
+static uint32_t float_to_uint32(float f) { return BitCast<uint32_t>(f); } |
+static float uint32_to_float(uint32_t d32) { return BitCast<float>(d32); } |
+ |
+// Helper functions for doubles. |
+class Double { |
+ public: |
+ static const uint64_t kSignMask = UINT64_2PART_C(0x80000000, 00000000); |
+ static const uint64_t kExponentMask = UINT64_2PART_C(0x7FF00000, 00000000); |
+ static const uint64_t kSignificandMask = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); |
+ static const uint64_t kHiddenBit = UINT64_2PART_C(0x00100000, 00000000); |
+ static const int kPhysicalSignificandSize = 52; // Excludes the hidden bit. |
+ static const int kSignificandSize = 53; |
+ |
+ Double() : d64_(0) {} |
+ explicit Double(double d) : d64_(double_to_uint64(d)) {} |
+ explicit Double(uint64_t d64) : d64_(d64) {} |
+ explicit Double(DiyFp diy_fp) |
+ : d64_(DiyFpToUint64(diy_fp)) {} |
+ |
+ // The value encoded by this Double must be greater or equal to +0.0. |
+ // It must not be special (infinity, or NaN). |
+ DiyFp AsDiyFp() const { |
+ ASSERT(Sign() > 0); |
+ ASSERT(!IsSpecial()); |
+ return DiyFp(Significand(), Exponent()); |
+ } |
+ |
+ // The value encoded by this Double must be strictly greater than 0. |
+ DiyFp AsNormalizedDiyFp() const { |
+ ASSERT(value() > 0.0); |
+ uint64_t f = Significand(); |
+ int e = Exponent(); |
+ |
+ // The current double could be a denormal. |
+ while ((f & kHiddenBit) == 0) { |
+ f <<= 1; |
+ e--; |
+ } |
+ // Do the final shifts in one go. |
+ f <<= DiyFp::kSignificandSize - kSignificandSize; |
+ e -= DiyFp::kSignificandSize - kSignificandSize; |
+ return DiyFp(f, e); |
+ } |
+ |
+ // Returns the double's bit as uint64. |
+ uint64_t AsUint64() const { |
+ return d64_; |
+ } |
+ |
+ // Returns the next greater double. Returns +infinity on input +infinity. |
+ double NextDouble() const { |
+ if (d64_ == kInfinity) return Double(kInfinity).value(); |
+ if (Sign() < 0 && Significand() == 0) { |
+ // -0.0 |
+ return 0.0; |
+ } |
+ if (Sign() < 0) { |
+ return Double(d64_ - 1).value(); |
+ } else { |
+ return Double(d64_ + 1).value(); |
+ } |
+ } |
+ |
+ double PreviousDouble() const { |
+ if (d64_ == (kInfinity | kSignMask)) return -Double::Infinity(); |
+ if (Sign() < 0) { |
+ return Double(d64_ + 1).value(); |
+ } else { |
+ if (Significand() == 0) return -0.0; |
+ return Double(d64_ - 1).value(); |
+ } |
+ } |
+ |
+ int Exponent() const { |
+ if (IsDenormal()) return kDenormalExponent; |
+ |
+ uint64_t d64 = AsUint64(); |
+ int biased_e = |
+ static_cast<int>((d64 & kExponentMask) >> kPhysicalSignificandSize); |
+ return biased_e - kExponentBias; |
+ } |
+ |
+ uint64_t Significand() const { |
+ uint64_t d64 = AsUint64(); |
+ uint64_t significand = d64 & kSignificandMask; |
+ if (!IsDenormal()) { |
+ return significand + kHiddenBit; |
+ } else { |
+ return significand; |
+ } |
+ } |
+ |
+ // Returns true if the double is a denormal. |
+ bool IsDenormal() const { |
+ uint64_t d64 = AsUint64(); |
+ return (d64 & kExponentMask) == 0; |
+ } |
+ |
+ // We consider denormals not to be special. |
+ // Hence only Infinity and NaN are special. |
+ bool IsSpecial() const { |
+ uint64_t d64 = AsUint64(); |
+ return (d64 & kExponentMask) == kExponentMask; |
+ } |
+ |
+ bool IsNan() const { |
+ uint64_t d64 = AsUint64(); |
+ return ((d64 & kExponentMask) == kExponentMask) && |
+ ((d64 & kSignificandMask) != 0); |
+ } |
+ |
+ bool IsInfinite() const { |
+ uint64_t d64 = AsUint64(); |
+ return ((d64 & kExponentMask) == kExponentMask) && |
+ ((d64 & kSignificandMask) == 0); |
+ } |
+ |
+ int Sign() const { |
+ uint64_t d64 = AsUint64(); |
+ return (d64 & kSignMask) == 0? 1: -1; |
+ } |
+ |
+ // Precondition: the value encoded by this Double must be greater or equal |
+ // than +0.0. |
+ DiyFp UpperBoundary() const { |
+ ASSERT(Sign() > 0); |
+ return DiyFp(Significand() * 2 + 1, Exponent() - 1); |
+ } |
+ |
+ // Computes the two boundaries of this. |
+ // The bigger boundary (m_plus) is normalized. The lower boundary has the same |
+ // exponent as m_plus. |
+ // Precondition: the value encoded by this Double must be greater than 0. |
+ void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const { |
+ ASSERT(value() > 0.0); |
+ DiyFp v = this->AsDiyFp(); |
+ DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1)); |
+ DiyFp m_minus; |
+ if (LowerBoundaryIsCloser()) { |
+ m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2); |
+ } else { |
+ m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1); |
+ } |
+ m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e())); |
+ m_minus.set_e(m_plus.e()); |
+ *out_m_plus = m_plus; |
+ *out_m_minus = m_minus; |
+ } |
+ |
+ bool LowerBoundaryIsCloser() const { |
+ // The boundary is closer if the significand is of the form f == 2^p-1 then |
+ // the lower boundary is closer. |
+ // Think of v = 1000e10 and v- = 9999e9. |
+ // Then the boundary (== (v - v-)/2) is not just at a distance of 1e9 but |
+ // at a distance of 1e8. |
+ // The only exception is for the smallest normal: the largest denormal is |
+ // at the same distance as its successor. |
+ // Note: denormals have the same exponent as the smallest normals. |
+ bool physical_significand_is_zero = ((AsUint64() & kSignificandMask) == 0); |
+ return physical_significand_is_zero && (Exponent() != kDenormalExponent); |
+ } |
+ |
+ double value() const { return uint64_to_double(d64_); } |
+ |
+ // Returns the significand size for a given order of magnitude. |
+ // If v = f*2^e with 2^p-1 <= f <= 2^p then p+e is v's order of magnitude. |
+ // This function returns the number of significant binary digits v will have |
+ // once it's encoded into a double. In almost all cases this is equal to |
+ // kSignificandSize. The only exceptions are denormals. They start with |
+ // leading zeroes and their effective significand-size is hence smaller. |
+ static int SignificandSizeForOrderOfMagnitude(int order) { |
+ if (order >= (kDenormalExponent + kSignificandSize)) { |
+ return kSignificandSize; |
+ } |
+ if (order <= kDenormalExponent) return 0; |
+ return order - kDenormalExponent; |
+ } |
+ |
+ static double Infinity() { |
+ return Double(kInfinity).value(); |
+ } |
+ |
+ static double NaN() { |
+ return Double(kNaN).value(); |
+ } |
+ |
+ private: |
+ static const int kExponentBias = 0x3FF + kPhysicalSignificandSize; |
+ static const int kDenormalExponent = -kExponentBias + 1; |
+ static const int kMaxExponent = 0x7FF - kExponentBias; |
+ static const uint64_t kInfinity = UINT64_2PART_C(0x7FF00000, 00000000); |
+ static const uint64_t kNaN = UINT64_2PART_C(0x7FF80000, 00000000); |
+ |
+ const uint64_t d64_; |
+ |
+ static uint64_t DiyFpToUint64(DiyFp diy_fp) { |
+ uint64_t significand = diy_fp.f(); |
+ int exponent = diy_fp.e(); |
+ while (significand > kHiddenBit + kSignificandMask) { |
+ significand >>= 1; |
+ exponent++; |
+ } |
+ if (exponent >= kMaxExponent) { |
+ return kInfinity; |
+ } |
+ if (exponent < kDenormalExponent) { |
+ return 0; |
+ } |
+ while (exponent > kDenormalExponent && (significand & kHiddenBit) == 0) { |
+ significand <<= 1; |
+ exponent--; |
+ } |
+ uint64_t biased_exponent; |
+ if (exponent == kDenormalExponent && (significand & kHiddenBit) == 0) { |
+ biased_exponent = 0; |
+ } else { |
+ biased_exponent = static_cast<uint64_t>(exponent + kExponentBias); |
+ } |
+ return (significand & kSignificandMask) | |
+ (biased_exponent << kPhysicalSignificandSize); |
+ } |
+ |
+ DISALLOW_COPY_AND_ASSIGN(Double); |
+}; |
+ |
+class Single { |
+ public: |
+ static const uint32_t kSignMask = 0x80000000; |
+ static const uint32_t kExponentMask = 0x7F800000; |
+ static const uint32_t kSignificandMask = 0x007FFFFF; |
+ static const uint32_t kHiddenBit = 0x00800000; |
+ static const int kPhysicalSignificandSize = 23; // Excludes the hidden bit. |
+ static const int kSignificandSize = 24; |
+ |
+ Single() : d32_(0) {} |
+ explicit Single(float f) : d32_(float_to_uint32(f)) {} |
+ explicit Single(uint32_t d32) : d32_(d32) {} |
+ |
+ // The value encoded by this Single must be greater or equal to +0.0. |
+ // It must not be special (infinity, or NaN). |
+ DiyFp AsDiyFp() const { |
+ ASSERT(Sign() > 0); |
+ ASSERT(!IsSpecial()); |
+ return DiyFp(Significand(), Exponent()); |
+ } |
+ |
+ // Returns the single's bit as uint64. |
+ uint32_t AsUint32() const { |
+ return d32_; |
+ } |
+ |
+ int Exponent() const { |
+ if (IsDenormal()) return kDenormalExponent; |
+ |
+ uint32_t d32 = AsUint32(); |
+ int biased_e = |
+ static_cast<int>((d32 & kExponentMask) >> kPhysicalSignificandSize); |
+ return biased_e - kExponentBias; |
+ } |
+ |
+ uint32_t Significand() const { |
+ uint32_t d32 = AsUint32(); |
+ uint32_t significand = d32 & kSignificandMask; |
+ if (!IsDenormal()) { |
+ return significand + kHiddenBit; |
+ } else { |
+ return significand; |
+ } |
+ } |
+ |
+ // Returns true if the single is a denormal. |
+ bool IsDenormal() const { |
+ uint32_t d32 = AsUint32(); |
+ return (d32 & kExponentMask) == 0; |
+ } |
+ |
+ // We consider denormals not to be special. |
+ // Hence only Infinity and NaN are special. |
+ bool IsSpecial() const { |
+ uint32_t d32 = AsUint32(); |
+ return (d32 & kExponentMask) == kExponentMask; |
+ } |
+ |
+ bool IsNan() const { |
+ uint32_t d32 = AsUint32(); |
+ return ((d32 & kExponentMask) == kExponentMask) && |
+ ((d32 & kSignificandMask) != 0); |
+ } |
+ |
+ bool IsInfinite() const { |
+ uint32_t d32 = AsUint32(); |
+ return ((d32 & kExponentMask) == kExponentMask) && |
+ ((d32 & kSignificandMask) == 0); |
+ } |
+ |
+ int Sign() const { |
+ uint32_t d32 = AsUint32(); |
+ return (d32 & kSignMask) == 0? 1: -1; |
+ } |
+ |
+ // Computes the two boundaries of this. |
+ // The bigger boundary (m_plus) is normalized. The lower boundary has the same |
+ // exponent as m_plus. |
+ // Precondition: the value encoded by this Single must be greater than 0. |
+ void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const { |
+ ASSERT(value() > 0.0); |
+ DiyFp v = this->AsDiyFp(); |
+ DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1)); |
+ DiyFp m_minus; |
+ if (LowerBoundaryIsCloser()) { |
+ m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2); |
+ } else { |
+ m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1); |
+ } |
+ m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e())); |
+ m_minus.set_e(m_plus.e()); |
+ *out_m_plus = m_plus; |
+ *out_m_minus = m_minus; |
+ } |
+ |
+ // Precondition: the value encoded by this Single must be greater or equal |
+ // than +0.0. |
+ DiyFp UpperBoundary() const { |
+ ASSERT(Sign() > 0); |
+ return DiyFp(Significand() * 2 + 1, Exponent() - 1); |
+ } |
+ |
+ bool LowerBoundaryIsCloser() const { |
+ // The boundary is closer if the significand is of the form f == 2^p-1 then |
+ // the lower boundary is closer. |
+ // Think of v = 1000e10 and v- = 9999e9. |
+ // Then the boundary (== (v - v-)/2) is not just at a distance of 1e9 but |
+ // at a distance of 1e8. |
+ // The only exception is for the smallest normal: the largest denormal is |
+ // at the same distance as its successor. |
+ // Note: denormals have the same exponent as the smallest normals. |
+ bool physical_significand_is_zero = ((AsUint32() & kSignificandMask) == 0); |
+ return physical_significand_is_zero && (Exponent() != kDenormalExponent); |
+ } |
+ |
+ float value() const { return uint32_to_float(d32_); } |
+ |
+ static float Infinity() { |
+ return Single(kInfinity).value(); |
+ } |
+ |
+ static float NaN() { |
+ return Single(kNaN).value(); |
+ } |
+ |
+ private: |
+ static const int kExponentBias = 0x7F + kPhysicalSignificandSize; |
+ static const int kDenormalExponent = -kExponentBias + 1; |
+ static const int kMaxExponent = 0xFF - kExponentBias; |
+ static const uint32_t kInfinity = 0x7F800000; |
+ static const uint32_t kNaN = 0x7FC00000; |
+ |
+ const uint32_t d32_; |
+ |
+ DISALLOW_COPY_AND_ASSIGN(Single); |
+}; |
+ |
+} // namespace double_conversion |
+ |
+#endif // DOUBLE_CONVERSION_DOUBLE_H_ |