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Support: Extract ScaledNumbers::matchScale()
llvm-svn: 211531
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@ -247,14 +247,10 @@ private:
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///
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/// The value that compares smaller will lose precision, and possibly become
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/// \a isZero().
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UnsignedFloat matchExponents(UnsignedFloat X);
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/// \brief Increase exponent to match another float.
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///
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/// Increases \c this to have an exponent matching \c X. May decrease the
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/// exponent of \c X in the process, and \c this may possibly become \a
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/// isZero().
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void increaseExponentToMatch(UnsignedFloat &X, int32_t ExponentDiff);
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UnsignedFloat matchExponents(UnsignedFloat X) {
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ScaledNumbers::matchScales(Digits, Exponent, X.Digits, X.Exponent);
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return X;
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}
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public:
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/// \brief Scale a large number accurately.
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@ -403,44 +399,6 @@ IntT UnsignedFloat<DigitsT>::toInt() const {
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return N;
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}
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template <class DigitsT>
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UnsignedFloat<DigitsT> UnsignedFloat<DigitsT>::matchExponents(UnsignedFloat X) {
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if (isZero() || X.isZero() || Exponent == X.Exponent)
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return X;
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int32_t Diff = int32_t(X.Exponent) - int32_t(Exponent);
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if (Diff > 0)
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increaseExponentToMatch(X, Diff);
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else
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X.increaseExponentToMatch(*this, -Diff);
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return X;
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}
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template <class DigitsT>
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void UnsignedFloat<DigitsT>::increaseExponentToMatch(UnsignedFloat &X,
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int32_t ExponentDiff) {
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assert(ExponentDiff > 0);
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if (ExponentDiff >= 2 * Width) {
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*this = getZero();
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return;
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}
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// Use up any leading zeros on X, and then shift this.
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int32_t ShiftX = std::min(countLeadingZerosWidth(X.Digits), ExponentDiff);
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assert(ShiftX < Width);
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int32_t ShiftThis = ExponentDiff - ShiftX;
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if (ShiftThis >= Width) {
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*this = getZero();
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return;
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}
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X.Digits <<= ShiftX;
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X.Exponent -= ShiftX;
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Digits >>= ShiftThis;
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Exponent += ShiftThis;
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return;
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}
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template <class DigitsT>
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UnsignedFloat<DigitsT> &UnsignedFloat<DigitsT>::
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operator+=(const UnsignedFloat &X) {
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@ -24,6 +24,7 @@
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#include "llvm/Support/MathExtras.h"
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#include <algorithm>
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#include <cstdint>
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#include <limits>
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#include <utility>
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@ -263,6 +264,56 @@ int compare(DigitsT LDigits, int16_t LScale, DigitsT RDigits, int16_t RScale) {
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return -compareImpl(RDigits, LDigits, LScale - RScale);
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}
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/// \brief Match scales of two numbers.
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///
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/// Given two scaled numbers, match up their scales. Change the digits and
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/// scales in place. Shift the digits as necessary to form equivalent numbers,
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/// losing precision only when necessary.
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///
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/// If the output value of \c LDigits (\c RDigits) is \c 0, the output value of
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/// \c LScale (\c RScale) is unspecified. If both \c LDigits and \c RDigits
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/// are \c 0, the output value is one of \c LScale and \c RScale; which is
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/// unspecified.
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template <class DigitsT>
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void matchScales(DigitsT &LDigits, int16_t &LScale, DigitsT &RDigits,
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int16_t &RScale) {
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static_assert(!std::numeric_limits<DigitsT>::is_signed, "expected unsigned");
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if (LScale < RScale) {
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// Swap arguments.
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matchScales(RDigits, RScale, LDigits, LScale);
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return;
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}
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if (!LDigits || !RDigits || LScale == RScale)
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return;
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// Now LScale > RScale. Get the difference.
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int32_t ScaleDiff = int32_t(LScale) - RScale;
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if (ScaleDiff >= 2 * getWidth<DigitsT>()) {
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// Don't bother shifting. RDigits will get zero-ed out anyway.
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RDigits = 0;
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return;
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}
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// Shift LDigits left as much as possible, then shift RDigits right.
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int32_t ShiftL = std::min<int32_t>(countLeadingZeros(LDigits), ScaleDiff);
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assert(ShiftL < getWidth<DigitsT>() && "can't shift more than width");
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int32_t ShiftR = ScaleDiff - ShiftL;
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if (ShiftR >= getWidth<DigitsT>()) {
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// Don't bother shifting. RDigits will get zero-ed out anyway.
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RDigits = 0;
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return;
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}
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LDigits <<= ShiftL;
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RDigits >>= ShiftR;
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LScale -= ShiftL;
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RScale += ShiftR;
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assert(LScale == RScale && "scales should match");
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}
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} // end namespace ScaledNumbers
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} // end namespace llvm
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@ -322,4 +322,68 @@ TEST(ScaledNumberHelpersTest, compare) {
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EXPECT_EQ(-1, compare(UINT64_MAX, 0, UINT64_C(1), 64));
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}
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TEST(ScaledNumberHelpersTest, matchScales) {
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typedef std::tuple<uint32_t, int16_t, uint32_t, int16_t> Pair32;
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typedef std::tuple<uint64_t, int16_t, uint64_t, int16_t> Pair64;
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#define MATCH_SCALES(T, LDIn, LSIn, RDIn, RSIn, LDOut, RDOut, SOut) \
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do { \
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T LDx = LDIn; \
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T RDx = RDIn; \
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T LDy = LDOut; \
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T RDy = RDOut; \
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int16_t LSx = LSIn; \
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int16_t RSx = RSIn; \
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int16_t Sy = SOut; \
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\
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matchScales(LDx, LSx, RDx, RSx); \
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EXPECT_EQ(LDy, LDx); \
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EXPECT_EQ(RDy, RDx); \
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if (LDy) \
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EXPECT_EQ(Sy, LSx); \
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if (RDy) \
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EXPECT_EQ(Sy, RSx); \
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} while (false)
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MATCH_SCALES(uint32_t, 0, 0, 0, 0, 0, 0, 0);
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MATCH_SCALES(uint32_t, 0, 50, 7, 1, 0, 7, 1);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 1, 9, 0, UINT32_C(1) << 31, 4, 1);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 2, 9, 0, UINT32_C(1) << 31, 2, 2);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 3, 9, 0, UINT32_C(1) << 31, 1, 3);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 4, 9, 0, UINT32_C(1) << 31, 0, 4);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 30, 4, 9, 0, UINT32_C(1) << 31, 1, 3);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 29, 4, 9, 0, UINT32_C(1) << 31, 2, 2);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 28, 4, 9, 0, UINT32_C(1) << 31, 4, 1);
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MATCH_SCALES(uint32_t, UINT32_C(1) << 27, 4, 9, 0, UINT32_C(1) << 31, 9, 0);
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MATCH_SCALES(uint32_t, 7, 1, 0, 50, 7, 0, 1);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 1, 4, UINT32_C(1) << 31, 1);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 2, 2, UINT32_C(1) << 31, 2);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 3, 1, UINT32_C(1) << 31, 3);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 4, 0, UINT32_C(1) << 31, 4);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 30, 4, 1, UINT32_C(1) << 31, 3);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 29, 4, 2, UINT32_C(1) << 31, 2);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 28, 4, 4, UINT32_C(1) << 31, 1);
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MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 27, 4, 9, UINT32_C(1) << 31, 0);
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MATCH_SCALES(uint64_t, 0, 0, 0, 0, 0, 0, 0);
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MATCH_SCALES(uint64_t, 0, 100, 7, 1, 0, 7, 1);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 1, 9, 0, UINT64_C(1) << 63, 4, 1);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 2, 9, 0, UINT64_C(1) << 63, 2, 2);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 3, 9, 0, UINT64_C(1) << 63, 1, 3);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 4, 9, 0, UINT64_C(1) << 63, 0, 4);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 62, 4, 9, 0, UINT64_C(1) << 63, 1, 3);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 61, 4, 9, 0, UINT64_C(1) << 63, 2, 2);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 60, 4, 9, 0, UINT64_C(1) << 63, 4, 1);
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MATCH_SCALES(uint64_t, UINT64_C(1) << 59, 4, 9, 0, UINT64_C(1) << 63, 9, 0);
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MATCH_SCALES(uint64_t, 7, 1, 0, 100, 7, 0, 1);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 1, 4, UINT64_C(1) << 63, 1);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 2, 2, UINT64_C(1) << 63, 2);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 3, 1, UINT64_C(1) << 63, 3);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 4, 0, UINT64_C(1) << 63, 4);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 62, 4, 1, UINT64_C(1) << 63, 3);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 61, 4, 2, UINT64_C(1) << 63, 2);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 60, 4, 4, UINT64_C(1) << 63, 1);
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MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 59, 4, 9, UINT64_C(1) << 63, 0);
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}
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} // end namespace
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