\(\newcommand{\W}[1]{ \; #1 \; }\) \(\newcommand{\R}[1]{ {\rm #1} }\) \(\newcommand{\B}[1]{ {\bf #1} }\) \(\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }\) \(\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }\) \(\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }\) \(\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }\)

harmonic_worker

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Do One Thread’s Work for Sum of 1/i

Syntax

harmonic_worker ()

Purpose

This routines computes the sum the summation that defines the harmonic series

1/ start + 1/( start +1) + … + 1/( end -1 )

start

This is the value of the harmonic_common information

start = work_all_ [ thread_num ] ->start

end

This is the value of the harmonic_common information

end = work_all_ [ thread_num ] ->end

thread_num

This is the number for the current thread; see thread_num .

Source

namespace {
void harmonic_worker(void)
{  // sum =  1/(stop-1) + 1/(stop-2) + ... + 1/start
    size_t thread_num  = thread_alloc::thread_num();
    size_t num_threads = std::max(num_threads_, size_t(1));
    bool   ok          = thread_num < num_threads;
    size_t start       = work_all_[thread_num]->start;
    size_t stop        = work_all_[thread_num]->stop;
    double sum         = 0.;

    ok &= stop > start;
    size_t i = stop;
    while( i > start )
    {  i--;
        sum += 1. / double(i);
    }

    work_all_[thread_num]->sum = sum;
    work_all_[thread_num]->ok  = ok;
}
}