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00001 //# Mathematics.h: Module header for Mathematical operations 00002 //# Copyright (C) 1995,1996,1997,1998,1999 00003 //# Associated Universities, Inc. Washington DC, USA. 00004 //# 00005 //# This library is free software; you can redistribute it and/or modify it 00006 //# under the terms of the GNU Library General Public License as published by 00007 //# the Free Software Foundation; either version 2 of the License, or (at your 00008 //# option) any later version. 00009 //# 00010 //# This library is distributed in the hope that it will be useful, but WITHOUT 00011 //# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or 00012 //# FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public 00013 //# License for more details. 00014 //# 00015 //# You should have received a copy of the GNU Library General Public License 00016 //# along with this library; if not, write to the Free Software Foundation, 00017 //# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA. 00018 //# 00019 //# Correspondence concerning AIPS++ should be addressed as follows: 00020 //# Internet email: aips2-request@nrao.edu. 00021 //# Postal address: AIPS++ Project Office 00022 //# National Radio Astronomy Observatory 00023 //# 520 Edgemont Road 00024 //# Charlottesville, VA 22903-2475 USA 00025 //# 00026 //# $Id: Mathematics.h 20670 2009-07-10 01:43:43Z Malte.Marquarding $ 00027 00028 #ifndef SCIMATH_MATHEMATICS_H 00029 #define SCIMATH_MATHEMATICS_H 00030 00031 #include <casa/BasicSL/Complex.h> 00032 #include <casa/BasicSL/Constants.h> 00033 #include <scimath/Mathematics/Convolver.h> 00034 #include <scimath/Mathematics/FFTPack.h> 00035 #include <scimath/Mathematics/FFTServer.h> 00036 #include <casa/BasicMath/Math.h> 00037 #include <scimath/Mathematics/NumericTraits.h> 00038 #include <casa/BasicMath/Random.h> 00039 00040 namespace casa { //# NAMESPACE CASA - BEGIN 00041 00042 // <module> 00043 00044 // <summary> Mathematical types, constants, operations </summary> 00045 00046 // <prerequisite> 00047 // <li> At least high school (and preferably undergraduate 00048 // level) understanding of mathematics. 00049 // </prerequisite> 00050 00051 // <reviewed reviewer="UNKNOWN" date="before2004/08/25" demos=""> 00052 // </reviewed> 00053 00054 // <etymology> 00055 // Mathematicians may argue that everything is mathematics, and hence all of 00056 // AIPS++ should be in this module. However this module will only contain 00057 // core mathematical operations that are independent of astronomical 00058 // applications. 00059 // </etymology> 00060 00061 // <synopsis> 00062 00063 // The Mathematics module has a variety of mathematical classes and functions. 00064 // Not all numerical operations are found herein. Very complicated operations 00065 // might be in their own module. such as deconvolution. 00066 // Many whole array operations 00067 // are in the <linkto file="ArrayMath.h">ArrayMath</linkto> global functions 00068 // (part of the <linkto module="Arrays">Arrays</linkto> module). Mathematical 00069 // operations on Lattices are found in the <linkto 00070 // module="Lattices">Lattices</linkto> module. A wide variety of special 00071 // Mathematical functions is planned for the <linkto 00072 // module="Functionals">Functionals</linkto> module. 00073 // 00074 // The classes presently in this module fall into the following categories: 00075 // <ul> 00076 // <li> A wrapper around the system math.h functions called 00077 // <linkto file="Math.h">Math.h</linkto>. This contains generic 00078 // mathematical functions. It is required that you always include this 00079 // file rather than the system math.h file as deficiencies in the system 00080 // math.h file will be implemented here. 00081 // <li> <linkto file=NumericTraits.h>Relationships</linkto> 00082 // between different numerical data types. 00083 // <li> Multi-dimensional Fourier transforms are done in the 00084 // <linkto class="FFTServer">FFTServer</linkto> class. This decomposes 00085 // the transforms into a one-dimensional transforms which are done using 00086 // the functions in the <linkto class="FFTPack">FFTPack</linkto> 00087 // class. The FFTPack class also contains functions for doing 00088 // one-dimensional sine, cosine, and real-symmetric transforms. 00089 // <li> Numerical <linkto class="Convolver">Convolution</linkto> 00090 // (both linear and circular) of multi-dimensional Arrays. 00091 // <li> <linkto file="Random.h">Random</linkto> numbers in a wide 00092 // variety of distributions. 00093 // <li> Interpolation in one dimension is performed by the 00094 // <linkto class="Interpolate1D">Interpolate1D</linkto> class in 00095 // the <linkto module="Functionals">Functionals</linkto> module 00096 // </ul> 00097 // </synopsis> 00098 00099 // </module> 00100 00101 00102 } //# NAMESPACE CASA - END 00103 00104 #endif