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// ==========================================================================
// SeqAn - The Library for Sequence Analysis
// ==========================================================================
// Copyright (c) 2006-2018, Knut Reinert, FU Berlin
// Copyright (c) 2013 NVIDIA Corporation
// 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 Knut Reinert or the FU Berlin 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 KNUT REINERT OR THE FU BERLIN 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.
//
// ==========================================================================
// Author: Manuel Holtgrewe <manuel.holtgrewe@fu-berlin.de>
// ==========================================================================
// Mathematical Metafunctions.
// ==========================================================================
#ifndef SEQAN_INCLUDE_SEQAN_BASIC_METAPROGRAMMING_MATH_H_
#define SEQAN_INCLUDE_SEQAN_BASIC_METAPROGRAMMING_MATH_H_
#include <seqan/platform.h>
namespace seqan {
// ============================================================================
// Forwards
// ============================================================================
// ============================================================================
// Tags, Classes, Enums
// ============================================================================
template <int VALUE>
struct ConstInt {};
template <unsigned int VALUE>
struct ConstUInt {};
// ============================================================================
// Metafunctions
// ============================================================================
/*!
* @defgroup MetaprogrammingMath Metaprogramming Math
* @brief Metafunctions for mathematical computations.
*/
// ----------------------------------------------------------------------------
// Metafunction Log2
// ----------------------------------------------------------------------------
/*!
* @mfn MetaprogrammingMath#Log2
* @brief Compute ceiled logarithm to base 2 using metaprogramming.
*
* @signature uint64_t Log2<NUMERUS>::VALUE;
*
* @tparam NUMERUS <tt>int64_t</tt> value to use for the numerus.
*
* @return uint64_t <tt>ceil(log2(NUMERUS))</tt>
*
* @section Example
*
* @snippet demos/dox/basic/metaprogramming_math.cpp log2 call
*/
template <uint64_t numerus, uint64_t base>
struct LogN
{
static const uint64_t VALUE = LogN<(numerus + 1) / base, base>::VALUE + 1; // ceil(log(numerus) / log(base))
};
template <uint64_t numerus>
struct Log2: LogN<numerus, 2> {};
// Base cases.
template <uint64_t base> struct LogN<1, base> { static const uint64_t VALUE = 0; };
template <uint64_t base> struct LogN<0, base> { static const uint64_t VALUE = 0; };
// ----------------------------------------------------------------------------
// Metafunction Log2Floor
// ----------------------------------------------------------------------------
/*!
* @mfn MetaprogrammingMath#Log2Floor
* @brief Compute floored logarithm to base 2 using metaprogramming.
*
* @signature uint64_t Log2Floor<NUMERUS>::VALUE;
*
* @tparam NUMERUS <tt>int64_t</tt> value to use for the numerus.
*
* @return uint64_t <tt>floor(log2(NUMERUS))</tt>
*
* @section Example
*
* @snippet demos/dox/basic/metaprogramming_math.cpp log2floor call
*/
template <uint64_t numerus, uint64_t base>
struct LogNFloor
{
static const uint64_t VALUE = LogNFloor<numerus / base, base>::VALUE + 1; // floor(log(numerus) / log(base))
};
template <uint64_t numerus>
struct Log2Floor: LogNFloor<numerus, 2> {};
// Base cases.
template <uint64_t base> struct LogNFloor<1, base> { static const uint64_t VALUE = 0; };
template <uint64_t base> struct LogNFloor<0, base> { static const uint64_t VALUE = 0; };
// ----------------------------------------------------------------------------
// Metafunction Power
// ----------------------------------------------------------------------------
/*!
* @mfn MetaprogrammingMath#Power
* @brief Compute power of a number.
*
* @signature uint64_t Power<BASE, EXPONENT>::VALUE;
*
* @tparam BASE The base of the term (<tt>int64_t</tt>).
* @tparam EXPONENT The exponent of the term (<tt>int64_t</tt>).
*
* @return uint64_t BASE<sup>EXPONENT</sup>
*
* @snippet demos/dox/basic/metaprogramming_math.cpp power call
*/
template <int64_t base, int64_t exponent>
struct Power {
static const uint64_t VALUE =
Power<base, exponent / 2>::VALUE *
Power<base, exponent - (exponent / 2)>::VALUE;
};
// Base cases.
template <int64_t base> struct Power<base, 1> { static const uint64_t VALUE = base; };
template <int64_t base> struct Power<base, 0> { static const uint64_t VALUE = 1; };
// ----------------------------------------------------------------------------
// Metafunction Min
// ----------------------------------------------------------------------------
template <unsigned A, unsigned B>
struct Min
{
static const unsigned VALUE = (A <= B) ? A : B;
};
// ----------------------------------------------------------------------------
// Metafunction Max
// ----------------------------------------------------------------------------
template <unsigned A, unsigned B>
struct Max
{
static const unsigned VALUE = (A >= B) ? A : B;
};
// ============================================================================
// Functions
// ============================================================================
} // namespace seqan
#endif // #ifndef SEQAN_INCLUDE_SEQAN_BASIC_METAPROGRAMMING_MATH_H_
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