math.cxx

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/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4; fill-column: 100 -*- */
/*
 * This file is part of the LibreOffice project.
 *
 * This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/.
 */
 
#include <math.hxx>
#include <cmath>
#include <cerrno>
#include <cfenv>
 
#include <o3tl/float_int_conversion.hxx>
#include <rtl/math.hxx>
 
namespace sc
{
static double err_pow(const double& fVal1, const double& fVal2)
{
    // pow() is expected to set domain error or pole error or range error (or
    // flag them via exceptions) or return NaN or Inf.
    assert((math_errhandling & (MATH_ERRNO | MATH_ERREXCEPT)) != 0);
    std::feclearexcept(FE_ALL_EXCEPT);
    errno = 0;
    return pow(fVal1, fVal2);
}
 
double power(const double& fVal1, const double& fVal2)
{
    double fPow;
    if (fVal1 < 0 && fVal2 != 0.0)
    {
        const double f = 1.0 / fVal2 + ((fVal2 < 0.0) ? -0.5 : 0.5);
        if (!(o3tl::convertsToAtLeast(f, SAL_MIN_INT64)
              && o3tl::convertsToAtMost(f, SAL_MAX_INT64)))
        {
            // Casting to int would be undefined behaviour.
            fPow = err_pow(fVal1, fVal2);
        }
        else
        {
            const sal_Int64 i = static_cast<sal_Int64>(f);
            if (i % 2 != 0 && rtl::math::approxEqual(1 / static_cast<double>(i), fVal2))
                fPow = -err_pow(-fVal1, fVal2);
            else
                fPow = err_pow(fVal1, fVal2);
        }
    }
    else
    {
        fPow = err_pow(fVal1, fVal2);
    }
    // The pow() call must had been the most recent call to check errno or exception.
    if ((((math_errhandling & MATH_ERRNO) != 0) && (errno == EDOM || errno == ERANGE))
// emscripten is currently broken by https://github.com/emscripten-core/emscripten/pull/11087
// While the removal is correct for C99, it's not for C++11 (see http://www.cplusplus.com/reference/cfenv/FE_INEXACT/)
// But since emscripten currently doesn't support any math exceptions, we simply ignore them
#ifndef __EMSCRIPTEN__
        || (((math_errhandling & MATH_ERREXCEPT) != 0)
            && std::fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW))
#endif
        || !std::isfinite(fPow))
    {
        fPow = CreateDoubleError(FormulaError::IllegalFPOperation);
    }
    return fPow;
}
}
 
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