| 1 | //#--------------------------------------------------------------------------- | 
|---|
| 2 | //# MathUtilities.cc: General math operations | 
|---|
| 3 | //#--------------------------------------------------------------------------- | 
|---|
| 4 | //# Copyright (C) 2004 | 
|---|
| 5 | //# ATNF | 
|---|
| 6 | //# | 
|---|
| 7 | //# This program is free software; you can redistribute it and/or modify it | 
|---|
| 8 | //# under the terms of the GNU General Public License as published by the Free | 
|---|
| 9 | //# Software Foundation; either version 2 of the License, or (at your option) | 
|---|
| 10 | //# any later version. | 
|---|
| 11 | //# | 
|---|
| 12 | //# This program is distributed in the hope that it will be useful, but | 
|---|
| 13 | //# WITHOUT ANY WARRANTY; without even the implied warranty of | 
|---|
| 14 | //# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General | 
|---|
| 15 | //# Public License for more details. | 
|---|
| 16 | //# | 
|---|
| 17 | //# You should have received a copy of the GNU General Public License along | 
|---|
| 18 | //# with this program; if not, write to the Free Software Foundation, Inc., | 
|---|
| 19 | //# 675 Massachusetts Ave, Cambridge, MA 02139, USA. | 
|---|
| 20 | //# | 
|---|
| 21 | //# Correspondence concerning this software should be addressed as follows: | 
|---|
| 22 | //#        Internet email: Malte.Marquarding@csiro.au | 
|---|
| 23 | //#        Postal address: Malte Marquarding, | 
|---|
| 24 | //#                        Australia Telescope National Facility, | 
|---|
| 25 | //#                        P.O. Box 76, | 
|---|
| 26 | //#                        Epping, NSW, 2121, | 
|---|
| 27 | //#                        AUSTRALIA | 
|---|
| 28 | //# | 
|---|
| 29 | //# $Id: | 
|---|
| 30 | //#--------------------------------------------------------------------------- | 
|---|
| 31 |  | 
|---|
| 32 | #include <casa/aips.h> | 
|---|
| 33 | #include <casa/Arrays/Vector.h> | 
|---|
| 34 | #include <casa/Arrays/MaskedArray.h> | 
|---|
| 35 | #include <casa/Arrays/MaskArrMath.h> | 
|---|
| 36 | #include <casa/Arrays/VectorSTLIterator.h> | 
|---|
| 37 | #include <casa/BasicSL/String.h> | 
|---|
| 38 |  | 
|---|
| 39 | #include "MathUtils.h" | 
|---|
| 40 |  | 
|---|
| 41 | using namespace casa; | 
|---|
| 42 |  | 
|---|
| 43 | float mathutil::statistics(const String& which, | 
|---|
| 44 | const MaskedArray<Float>& data) | 
|---|
| 45 | { | 
|---|
| 46 | String str(which); | 
|---|
| 47 | str.upcase(); | 
|---|
| 48 | if (str.contains(String("MIN"))) { | 
|---|
| 49 | return min(data); | 
|---|
| 50 | } else if (str.contains(String("MAX"))) { | 
|---|
| 51 | return max(data); | 
|---|
| 52 | } else if (str.contains(String("SUMSQ"))) { | 
|---|
| 53 | return sumsquares(data); | 
|---|
| 54 | } else if (str.contains(String("SUM"))) { | 
|---|
| 55 | return sum(data); | 
|---|
| 56 | } else if (str.contains(String("MEAN"))) { | 
|---|
| 57 | return mean(data); | 
|---|
| 58 | } else if (str.contains(String("VAR"))) { | 
|---|
| 59 | return variance(data); | 
|---|
| 60 | } else if (str.contains(String("STDDEV"))) { | 
|---|
| 61 | return stddev(data); | 
|---|
| 62 | } else if (str.contains(String("AVDEV"))) { | 
|---|
| 63 | return avdev(data); | 
|---|
| 64 | } else if (str.contains(String("RMS"))) { | 
|---|
| 65 | uInt n = data.nelementsValid(); | 
|---|
| 66 | return sqrt(sumsquares(data)/n); | 
|---|
| 67 | } else if (str.contains(String("MED"))) { | 
|---|
| 68 | return median(data); | 
|---|
| 69 | } | 
|---|
| 70 | return 0.0; | 
|---|
| 71 | } | 
|---|
| 72 |  | 
|---|
| 73 |  | 
|---|
| 74 | void mathutil::replaceMaskByZero(Vector<Float>& data, const Vector<Bool>& mask) | 
|---|
| 75 | { | 
|---|
| 76 | for (uInt i=0; i<data.nelements(); i++) { | 
|---|
| 77 | if (!mask[i]) data[i] = 0.0; | 
|---|
| 78 | } | 
|---|
| 79 | } | 
|---|
| 80 |  | 
|---|
| 81 |  | 
|---|
| 82 | std::vector<std::string> mathutil::tovectorstring(const Vector<String>& in) | 
|---|
| 83 | { | 
|---|
| 84 | std::vector<std::string> out; | 
|---|
| 85 | VectorSTLIterator<String> it(in); | 
|---|
| 86 | for (uInt i=0; it != in.end(); ++it,++i) { | 
|---|
| 87 | out.push_back(*it); | 
|---|
| 88 | } | 
|---|
| 89 | return out; | 
|---|
| 90 | } | 
|---|
| 91 |  | 
|---|
| 92 | Vector<String> mathutil::toVectorString(const std::vector<std::string>& in) | 
|---|
| 93 | { | 
|---|
| 94 | Vector<String> out(in.size()); | 
|---|
| 95 | uInt i=0; | 
|---|
| 96 | std::vector<std::string>::const_iterator it; | 
|---|
| 97 | for (it=in.begin();it != in.end();++it,++i) { | 
|---|
| 98 | out[i] = casa::String(*it); | 
|---|
| 99 | } | 
|---|
| 100 | return out; | 
|---|
| 101 | } | 
|---|
| 102 |  | 
|---|
| 103 | void mathutil::hanning(Vector<Float>& out, Vector<Bool>& outmask, | 
|---|
| 104 | const Vector<Float>& in, const Vector<Bool>& mask, | 
|---|
| 105 | Bool relaxed, Bool ignoreOther) { | 
|---|
| 106 | Vector< Vector<Float> > weights(8); | 
|---|
| 107 | Vector<Float> vals(3); | 
|---|
| 108 | vals = 0.0;weights[0] = vals;// FFF | 
|---|
| 109 | vals[0] = 1.0; vals[1] = 0.0; vals[2] = 0.0; weights[1] = vals;// TFF | 
|---|
| 110 | vals[0] = 0.0; vals[1] = 1.0; vals[2] = 0.0; weights[2] = vals;// FTF | 
|---|
| 111 | vals[0] = 1.0/3.0; vals[1] = 2.0/3.0; vals[2] = 0.0; weights[3] = vals;// TTF | 
|---|
| 112 | vals[0] = 0.0; vals[1] = 0.0; vals[2] = 1.0;weights[4] = vals;// FFT | 
|---|
| 113 | vals[0] = 0.5; vals[1] = 0.0; vals[2] = 0.5; weights[5] = vals;// TFT | 
|---|
| 114 | vals[0] = 0.0; vals[1] = 2.0/3.0; vals[2] = 1.0/3.0; weights[6] = vals;// FTT | 
|---|
| 115 | vals[0] = 0.25; vals[1] = 0.5; vals[2] = 0.25; weights[7] = vals;// TTT | 
|---|
| 116 | // Chris' case | 
|---|
| 117 | Vector<Bool> weighted(8); | 
|---|
| 118 | if (relaxed) { | 
|---|
| 119 | weighted = False; | 
|---|
| 120 | weighted[7] = True; | 
|---|
| 121 |  | 
|---|
| 122 | } else { | 
|---|
| 123 | weighted = True; | 
|---|
| 124 | weighted[0] = False; | 
|---|
| 125 | } | 
|---|
| 126 |  | 
|---|
| 127 | out.resize(in.nelements()); | 
|---|
| 128 | outmask.resize(mask.nelements()); | 
|---|
| 129 | // make special case for first and last | 
|---|
| 130 | /// ...here | 
|---|
| 131 | // loop from 1..n-2 | 
|---|
| 132 | out.resize(in.nelements()); | 
|---|
| 133 | out[0] = in[0];out[out.nelements()-1] = in[in.nelements()-1]; | 
|---|
| 134 | outmask.resize(mask.nelements()); | 
|---|
| 135 | outmask = False; | 
|---|
| 136 | uInt m;Vector<Float>* w; | 
|---|
| 137 | for (uInt i=1; i < out.nelements()-1;++i) { | 
|---|
| 138 | m = mask[i-1] + 2*mask[i] + 4*mask[i+1]; | 
|---|
| 139 | w = &(weights[m]); | 
|---|
| 140 | if (weighted[m]) { | 
|---|
| 141 | out[i] = (*w)[0]*in[i-1] + (*w)[1]*in[i] + (*w)[2]*in[i+1]; | 
|---|
| 142 | outmask[i] = True; | 
|---|
| 143 | } else { // mask it | 
|---|
| 144 | out[i] = in[i];//use arbitrary value | 
|---|
| 145 | outmask[i] = False; | 
|---|
| 146 | } | 
|---|
| 147 | } | 
|---|
| 148 | } | 
|---|