237 lines
6.1 KiB
C++
237 lines
6.1 KiB
C++
// Simple fixed-point representation of fractional costs
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// Copyright (C) 2021 Free Software Foundation, Inc.
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//
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// This file is part of GCC.
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//
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// GCC is free software; you can redistribute it and/or modify it under
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// the terms of the GNU General Public License as published by the Free
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// Software Foundation; either version 3, or (at your option) any later
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// version.
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//
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// GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or
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// FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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// for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with GCC; see the file COPYING3. If not see
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// <http://www.gnu.org/licenses/>.
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// A simple saturating fixed-point type for representing fractional
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// intermediate results in cost calculations. The input and result
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// costs are assumed to be uint32_ts. Unlike sreal, the class can
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// represent most values that we care about exactly (without rounding).
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// See the comment above the SCALE field for the current set of
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// exactly-representable reciprocals.
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class fractional_cost
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{
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public:
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// Construct an object equal to INT_VALUE.
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constexpr fractional_cost (uint32_t int_value = 0)
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: m_value (uint64_t (int_value) * SCALE) {}
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fractional_cost (uint32_t a, uint32_t b);
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fractional_cost operator+ (const fractional_cost &) const;
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fractional_cost operator- (const fractional_cost &) const;
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fractional_cost operator* (uint32_t) const;
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fractional_cost &operator+= (const fractional_cost &);
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fractional_cost &operator-= (const fractional_cost &);
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fractional_cost &operator*= (uint32_t);
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bool operator== (const fractional_cost &) const;
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bool operator!= (const fractional_cost &) const;
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bool operator< (const fractional_cost &) const;
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bool operator<= (const fractional_cost &) const;
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bool operator>= (const fractional_cost &) const;
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bool operator> (const fractional_cost &) const;
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uint32_t ceil () const;
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static uint32_t scale (uint32_t, fractional_cost, fractional_cost);
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explicit operator bool () const { return m_value != 0; }
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// Convert the value to a double.
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double as_double () const { return double (m_value) / SCALE; }
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private:
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enum raw { RAW };
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constexpr fractional_cost (uint64_t value, raw) : m_value (value) {}
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// A multiple of [1, 16] * 16. This ensures that 1/N is representable
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// for every every possible SVE element count N, or for any "X per cycle"
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// value N in the range [1, 16].
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static const uint32_t SCALE = 11531520;
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// The value multiplied by BIAS.
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uint64_t m_value;
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};
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// Construct a representation of A / B, rounding up if (contrary to
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// expectations) we can't represent the value exactly. For now we
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// treat inexact values as a bug, since all values of B should come
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// from a small set of values that are known at compile time.
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inline fractional_cost::fractional_cost (uint32_t a, uint32_t b)
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: m_value (CEIL (uint64_t (a) * SCALE, uint64_t (b)))
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{
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gcc_checking_assert (SCALE % b == 0);
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}
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inline fractional_cost
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fractional_cost::operator+ (const fractional_cost &other) const
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{
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uint64_t sum = m_value + other.m_value;
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return { sum >= m_value ? sum : ~uint64_t (0), RAW };
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}
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inline fractional_cost &
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fractional_cost::operator+= (const fractional_cost &other)
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{
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*this = *this + other;
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return *this;
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}
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inline fractional_cost
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fractional_cost::operator- (const fractional_cost &other) const
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{
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uint64_t diff = m_value - other.m_value;
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return { diff <= m_value ? diff : 0, RAW };
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}
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inline fractional_cost &
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fractional_cost::operator-= (const fractional_cost &other)
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{
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*this = *this - other;
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return *this;
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}
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inline fractional_cost
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fractional_cost::operator* (uint32_t other) const
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{
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if (other == 0)
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return 0;
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uint64_t max = ~uint64_t (0);
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return { m_value <= max / other ? m_value * other : max, RAW };
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}
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inline fractional_cost &
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fractional_cost::operator*= (uint32_t other)
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{
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*this = *this * other;
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return *this;
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}
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inline bool
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fractional_cost::operator== (const fractional_cost &other) const
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{
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return m_value == other.m_value;
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}
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inline bool
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fractional_cost::operator!= (const fractional_cost &other) const
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{
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return m_value != other.m_value;
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}
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inline bool
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fractional_cost::operator< (const fractional_cost &other) const
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{
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return m_value < other.m_value;
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}
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inline bool
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fractional_cost::operator<= (const fractional_cost &other) const
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{
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return m_value <= other.m_value;
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}
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inline bool
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fractional_cost::operator>= (const fractional_cost &other) const
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{
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return m_value >= other.m_value;
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}
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inline bool
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fractional_cost::operator> (const fractional_cost &other) const
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{
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return m_value > other.m_value;
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}
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// Round the value up to the nearest integer and saturate to a uint32_t.
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inline uint32_t
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fractional_cost::ceil () const
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{
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uint32_t max = ~uint32_t (0);
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if (m_value <= uint64_t (max - 1) * SCALE)
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return (m_value + SCALE - 1) / SCALE;
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return max;
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}
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// Round (COST * A) / B up to the nearest integer and saturate to a uint32_t.
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inline uint32_t
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fractional_cost::scale (uint32_t cost, fractional_cost a, fractional_cost b)
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{
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widest_int result = wi::div_ceil (widest_int (cost) * a.m_value,
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b.m_value, SIGNED);
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if (result < ~uint32_t (0))
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return result.to_shwi ();
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return ~uint32_t (0);
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}
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inline fractional_cost
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operator+ (uint32_t a, const fractional_cost &b)
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{
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return b.operator+ (a);
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}
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inline fractional_cost
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operator- (uint32_t a, const fractional_cost &b)
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{
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return fractional_cost (a).operator- (b);
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}
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inline fractional_cost
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operator* (uint32_t a, const fractional_cost &b)
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{
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return b.operator* (a);
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}
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inline bool
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operator== (uint32_t a, const fractional_cost &b)
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{
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return b.operator== (a);
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}
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inline bool
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operator!= (uint32_t a, const fractional_cost &b)
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{
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return b.operator!= (a);
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}
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inline bool
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operator< (uint32_t a, const fractional_cost &b)
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{
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return b.operator> (a);
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}
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inline bool
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operator<= (uint32_t a, const fractional_cost &b)
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{
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return b.operator>= (a);
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}
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inline bool
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operator>= (uint32_t a, const fractional_cost &b)
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{
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return b.operator<= (a);
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}
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inline bool
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operator> (uint32_t a, const fractional_cost &b)
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{
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return b.operator< (a);
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}
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