Download Repository: ZIP Archive
hypergeomq(N,D,Z)
evaluates the generalized hypergeometric function for the vector parameters N
and D
at the values in the array Z
. N
, D
, and Z
can be any numeric or logical datatype and may be complex. The output will have the same dimensions as Z
and will be double-precision unless Z
is single-precision, in which case, the output will be as well.
hypergeomq
uses the same low-level function as hypergeom
, but implements several optimizations to achieve a performance boost of approximately an order of magnitude. Results from the two functions should agree to the precision of the inputs. Additionaly, hypergeomq
can avoid some errors due to singularities that can occur when hypergeom
is evaluated with numeric Z
values.
Andrew D. Horchler, horchler @ gmail . com, biorobots.case.edu
Created: 7-22-12, Revision: 1.1, 4-21-16
This version tested with Matlab 9.0.0.341360 (R2016a)
Mac OS X 10.11.4 (Build: 15E65), Java 1.7.0_75-b13
Compatibility maintained back through Matlab 7.4 (R2007a)
Acknowledgment of support: This material is based upon work supported by the National Science Foundation under Grant No. 1065489. Disclaimer: Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
Copyright © 2012–2017, Andrew D. Horchler
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 Case Western Reserve University 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 ANDREW D. HORCHLER 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.