PFFFT: a pretty fast FFT.

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 Copyright (c) 2013  Julien Pommier ( pommier@modartt.com )

 Based on original fortran 77 code from FFTPACKv4 from NETLIB,
 authored by Dr Paul Swarztrauber of NCAR, in 1985.

 As confirmed by the NCAR fftpack software curators, the following
 FFTPACKv5 license applies to FFTPACKv4 sources. My changes are
 released under the same terms.

 FFTPACK license:

 http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html

 Copyright (c) 2004 the University Corporation for Atmospheric
 Research ("UCAR"). All rights reserved. Developed by NCAR's
 Computational and Information Systems Laboratory, UCAR,
 www.cisl.ucar.edu.

 Redistribution and use of the Software in source and binary forms,
 with or without modification, is permitted provided that the
 following conditions are met:

 - Neither the names of NCAR's Computational and Information Systems
 Laboratory, the University Corporation for Atmospheric Research,
 nor the names of its sponsors or contributors may be used to
 endorse or promote products derived from this Software without
 specific prior written permission.

 - Redistributions of source code must retain the above copyright
 notices, this list of conditions, and the disclaimer below.

 - Redistributions in binary form must reproduce the above copyright
 notice, this list of conditions, and the disclaimer below in the
 documentation and/or other materials provided with the
 distribution.

 THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
 EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
 MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
 NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
 HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
 EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
 ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
 CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
 SOFTWARE.