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Merge pull request #4277 from ethereum/signedRightShift
Signed Right Shift: Additional test and more explanation.
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@@ -1088,8 +1088,13 @@ TypePointer RationalNumberType::binaryOperatorResult(Token::Value _operator, Typ
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else
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{
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if (m_value.numerator() < 0)
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// add 1 to the negative value before dividing to get a result that is strictly too large
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// subtract 1 afterwards to round towards negative infinity
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// Add 1 to the negative value before dividing to get a result that is strictly too large,
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// then subtract 1 afterwards to round towards negative infinity.
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// This is the same algorithm as used in ExpressionCompiler::appendShiftOperatorCode(...).
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// To see this note that for negative x, xor(x,all_ones) = (-x-1) and
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// therefore xor(div(xor(x,all_ones), exp(2, shift_amount)), all_ones) is
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// -(-x - 1) / 2^shift_amount - 1, which is the same as
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// (x + 1) / 2^shift_amount - 1.
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value = rational((m_value.numerator() + 1) / boost::multiprecision::pow(bigint(2), exponent) - bigint(1), 1);
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else
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value = rational(m_value.numerator() / boost::multiprecision::pow(bigint(2), exponent), 1);
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