NUOVI

languasc@OptiPlex-3050:~/Desktop/EK/6766811$ ../for_fftw/EK-S-fftwl.exe 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the S function. [LONG DOUBLE PRECISION - GURU64]
Acquiring q from file: q = 6766811
Start FFT plans preparation. Done
Generating log(gamma(a/q)). Done
Start first FFT transform -- End first FFT transform.
Building the sequence g^k%q [decimated in frequency]. Done
Start second FFT transform -- End second FFT transform.
Computing the sum over odd characters. Done
Acquiring precomputed values for S(a/q) [decimated in frequency]. Done
Start third FFT transform -- End third FFT transform.
Computing the sum over even characters. Done

*** RESULTS:

EK(6766811) = 1.604045

EK(6766811)^+ = 10.961044

EK(6766811) - EK(6766811)^+ = -9.356999

*** TIMES:
FFT - total computation time: 0.000000 min. 2.000000 sec. 953.438000 msec. 
PLAN FFT - total computation time: 0.000000 min. 0.000000 sec. 426.048000 msec. 
Final comp EKq & EKq^+ - total computation time: 0.000000 min. 0.000000 sec. 74.888000 msec. 
Input data from file - time: 0.000000 min. 1.000000 sec. 146.613000 msec. 
Total elapsed time: 0.000000 min. 4.000000 sec. 600.987000 msec. 
********** END PROGRAM  *********** 
languasc@OptiPlex-3050:~/Desktop/EK/6766811$ ../for_fftw/EK-S-fftwl-noDIF-input.exe 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the S function. [LONG DOUBLE PRECISION - GURU64]
***** NO DIF INPUT FOR S ***** 
Acquiring q from file: q = 6766811
Start FFT plans preparation. Done
Generating log(gamma(a/q)). Done
Start first FFT transform -- End first FFT transform.
Building the sequence g^k%q [decimated in frequency]. Done
Start second FFT transform -- End second FFT transform.
Computing the sum over odd characters. Done
Acquiring precomputed values for S(a/q) [decimated in frequency]. Done
Start third FFT transform -- End third FFT transform.
Computing the sum over even characters. Done

*** RESULTS:

EK(6766811) = 1.604045

EK(6766811)^+ = 10.961044

EK(6766811) - EK(6766811)^+ = -9.356999

*** TIMES:
FFT - total computation time: 0.000000 min. 2.000000 sec. 954.518000 msec. 
PLAN FFT - total computation time: 0.000000 min. 0.000000 sec. 426.135000 msec. 
Final comp EKq & EKq^+ - total computation time: 0.000000 min. 0.000000 sec. 74.753000 msec. 
Input data from file - time: 0.000000 min. 2.000000 sec. 302.553000 msec. 
Total elapsed time: 0.000000 min. 5.000000 sec. 757.959000 msec. 
********** END PROGRAM  *********** 
languasc@OptiPlex-3050:~/Desktop/EK/6766811$ ../for_fftw/EK-S-fftwq.exe 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the S function. [QUADRUPLE PRECISION - GURU64]
Acquiring q from file: q = 6766811
Start FFT plans preparation. Done
Generating log(gamma(a/q)). Done
Start first FFT transform -- End first FFT transform.
Building the sequence g^k%q [decimated in frequency]. Done
Start second FFT transform -- End second FFT transform.
Computing the sum over odd characters. Done
Acquiring precomputed values for S(a/q) [decimated in frequency]. Done
Start third FFT transform -- End third FFT transform.
Computing the sum over even characters. Done

*** RESULTS:

EK(6766811) = +1.60404528321173866763                       


EK(6766811)^+ = +10.96104444733041608963                      


EK(6766811) - EK(6766811)^+ = -9.35699916411867742200                       

*** TIMES:
FFT - total computation time: 1.000000 min. 21.000000 sec. 311.299000 msec. 
PLAN FFT - total computation time: 0.000000 min. 6.000000 sec. 916.507000 msec. 
Final comp EKq & EKq^+ - total computation time: 0.000000 min. 1.000000 sec. 617.863000 msec. 
Input data from file - time: 0.000000 min. 1.000000 sec. 32.554000 msec. 
Total elapsed time: 1.000000 min. 30.000000 sec. 878.223000 msec. 
********** END PROGRAM  *********** 

languasc@OptiPlex-3050:~/Desktop/EK/6766811$ ../for_fftw/EK-S-fftwq-noDIF-input.exe 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the S function. [QUADRUPLE PRECISION - GURU64]
***** NO DIF INPUT FOR S ***** 
Acquiring q from file: q = 6766811
Start FFT plans preparation. Done
Generating log(gamma(a/q)). Done
Start first FFT transform -- End first FFT transform.
Building the sequence g^k%q [decimated in frequency]. Done
Start second FFT transform -- End second FFT transform.
Computing the sum over odd characters. Done
Acquiring precomputed values for S(a/q) [decimated in frequency]. Done
Start third FFT transform -- End third FFT transform.
Computing the sum over even characters. Done

*** RESULTS:

EK(6766811) = +1.60404528321173866763                       


EK(6766811)^+ = +10.96104444733041608963                      


EK(6766811) - EK(6766811)^+ = -9.35699916411867742200                       

*** TIMES:
FFT - total computation time: 1.000000 min. 21.000000 sec. 292.880000 msec. 
PLAN FFT - total computation time: 0.000000 min. 6.000000 sec. 906.781000 msec. 
Final comp EKq & EKq^+ - total computation time: 0.000000 min. 1.000000 sec. 614.823000 msec. 
Input data from file - time: 0.000000 min. 2.000000 sec. 83.711000 msec. 
Total elapsed time: 1.000000 min. 31.000000 sec. 898.195000 msec. 
********** END PROGRAM  *********** 
languasc@OptiPlex-3050:~/Desktop/EK/6766811$ ../for_fftw/EK-T-fftwl.exe 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the T function. [LONG DOUBLE PRECISION - GURU64]
and computed psi values. [IN DOUBLE PRECISION]
Acquiring q from file: q = 6766811
Start FFT plans preparation. Done
Acquiring precomputed values for T(a/q). Done
Start first FFT transform -- End first FFT transform.
Building the sequence g^k%q and psi(a/q). Done
Start second FFT transform -- End second FFT transform.
Computing the sum over characters. Done

*** RESULT:

EK(6766811) = 1.604045

*** TIMES:
FFT - computation time: 0.000000 min. 2.000000 sec. 520.936000 msec. 
PLAN FFT - computation time:: 0.000000 min. 0.000000 sec. 248.340000 msec. 
Final comp EKq - computation time: 0.000000 min. 0.000000 sec. 61.016000 msec. 
Acquiring precomputed data from file - time: 0.000000 min. 2.000000 sec. 232.771000 msec. 
Total elapsed time: 0.000000 min. 5.000000 sec. 63.063000 msec. 
********** END PROGRAM  *********** 

languasc@OptiPlex-3050:~/Desktop/EK/6766811$ ../for_fftw/EK-T-fftwq.exe 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the T function. [QUADRUPLE PRECISION - GURU64]
and computed psi values. [IN DOUBLE PRECISION]
Acquiring q from file: q = 6766811
Start FFT plans preparation. Done
Acquiring precomputed values for T(a/q). Done
Start first FFT transform -- End first FFT transform.
Building the sequence g^k%q and psi(a/q). Done
Start second FFT transform -- End second FFT transform.
Computing the sum over characters. Done

*** RESULT:

EK(6766811) = +1.60404528136896355421                       

*** TIMES:
FFT - computation time: 1.000000 min. 3.000000 sec. 324.094000 msec. 
PLAN FFT - computation time:: 0.000000 min. 3.000000 sec. 855.721000 msec. 
Final comp EKq - computation time: 0.000000 min. 1.000000 sec. 535.263000 msec. 
Acquiring precomputed data from file - time: 0.000000 min. 1.000000 sec. 980.175000 msec. 
Total elapsed time: 1.000000 min. 10.000000 sec. 695.253000 msec. 
********** END PROGRAM  *********** 

------------------
languasc@OptiPlex-3050:~/Desktop/EK/6766811$ ../for_fftw/finale-fft.sh 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the T function. [DOUBLE PRECISION]
Acquiring q from file: q = 6766811
Acquiring precomputed values for T(a/q). Done
Acquiring precomputed values for psi(a/q). Done

EK(6766811) = 1.604053

FFT - computation time (I/O excluded): 
0.000000 min. 0.000000 sec. 601.176000 millisec. 
********** END PROGRAM  *********** 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the T function. [LONG DOUBLE PRECISION]
Acquiring q from file: q = 6766811
Acquiring precomputed values for T(a/q). Done
Acquiring precomputed values for psi(a/q). Done

EK(6766811) = 1.604045

FFT - computation time (I/O excluded): 
0.000000 min. 2.000000 sec. 574.440000 millisec. 
********** END PROGRAM  *********** 
********** A. LANGUASCO and L. RIGHI *********** 
Computation of the Euler-Kronecker constant with the T function. [QUADRUPLE PRECISION]
Acquiring q from file: q = 6766811
Acquiring precomputed values for T(a/q). Done
Acquiring precomputed values for psi(a/q). Done

EK(6766811) = +1.60404528344211167169                       

FFT - computation time (I/O excluded): 
1.000000 min. 4.000000 sec. 944.543000 millisec. 
********** END PROGRAM  *********** 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the S function. [DOUBLE PRECISION]
Acquiring q from file: q = 6766811
Acquiring precomputed values for S(a/q). Done
Acquiring precomputed values for log(gamma(a/q)). Done

EK(6766811)^+ = 10.961044

Building the sequence g^k%q. Done

EK(6766811) = 1.604045

FFT - computation time (I/O excluded): 
0.000000 min. 0.000000 sec. 896.920000 millisec. 
********** END PROGRAM  *********** 
********** A. LANGUASCO  *********** 
Computation of the Euler-Kronecker constant with the S function. [LONG DOUBLE PRECISION]
Acquiring q from file: q = 6766811
Acquiring precomputed values for S(a/q). Done
Acquiring precomputed values for log(gamma(a/q)). Done

EK(6766811)^+ = 10.961044

Building the sequence g^k%q. Done

EK(6766811) = 1.604045

FFT - computation time (I/O excluded): 
0.000000 min. 3.000000 sec. 861.128000 millisec. 
********** END PROGRAM  *********** 
********** A. LANGUASCO and L. RIGHI *********** 
Computation of the Euler-Kronecker constant with the S function. [QUADRUPLE PRECISION]
Acquiring q from file: q = 6766811
Acquiring precomputed values for S(a/q). Done
Acquiring precomputed values for log(gamma(a/q)). Done

EK(6766811)^+ = +10.96104444733032878796                      


Building the sequence g^k%q. Done

EK(6766811) = +1.60404528321177759204                       

FFT - computation time (I/O excluded): 
1.000000 min. 38.000000 sec. 132.913000 millisec. 
********** END PROGRAM  *********** 