File: ryu_pow5bits.c

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// Copyright 2018 Ulf Adams
//
// The contents of this file may be used under the terms of the Apache License,
// Version 2.0.
//
//    (See accompanying file LICENSE-Apache or copy at
//     http://www.apache.org/licenses/LICENSE-2.0)
//
// Alternatively, the contents of this file may be used under the terms of
// the Boost Software License, Version 1.0.
//    (See accompanying file LICENSE-Boost or copy at
//     https://www.boost.org/LICENSE_1_0.txt)
//
// Unless required by applicable law or agreed to in writing, this software
// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied.

#include "ryu/common.h"

int32_t
__pow5bits(const int32_t e)
{
    // This approximation works up to the point that the multiplication overflows at e = 3529.
    // If the multiplication were done in 64 bits, it would fail at 5^4004 which is just greater
    // than 2^9297.
    assert(e >= 0);
    assert(e <= 3528);
    return (int32_t)(((((uint32_t)e) * 1217359) >> 19) + 1);
}