time | Calls | line |
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| | 1 | function y = mean(x,dim,flag,flag2)
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| | 2 | %MEAN Average or mean value.
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| | 3 | % S = MEAN(X) is the mean value of the elements in X if X is a vector.
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| | 4 | % For matrices, S is a row vector containing the mean value of each
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| | 5 | % column.
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| | 6 | % For N-D arrays, S is the mean value of the elements along the first
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| | 7 | % array dimension whose size does not equal 1.
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| | 8 | %
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| | 9 | % MEAN(X,'all') is the mean of all elements in X.
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| | 10 | %
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| | 11 | % MEAN(X,DIM) takes the mean along the dimension DIM of X.
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| | 12 | %
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| | 13 | % MEAN(X,VECDIM) operates on the dimensions specified in the vector
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| | 14 | % VECDIM. For example, MEAN(X,[1 2]) operates on the elements contained
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| | 15 | % in the first and second dimensions of X.
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| | 16 | %
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| | 17 | % S = MEAN(...,TYPE) specifies the type in which the mean is performed,
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| | 18 | % and the type of S. Available options are:
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| | 19 | %
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| | 20 | % 'double' - S has class double for any input X
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| | 21 | % 'native' - S has the same class as X
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| | 22 | % 'default' - If X is floating point, that is double or single,
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| | 23 | % S has the same class as X. If X is not floating point,
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| | 24 | % S has class double.
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| | 25 | %
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| | 26 | % S = MEAN(...,NANFLAG) specifies how NaN (Not-A-Number) values are
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| | 27 | % treated. The default is 'includenan':
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| | 28 | %
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| | 29 | % 'includenan' - the mean of a vector containing NaN values is also NaN.
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| | 30 | % 'omitnan' - the mean of a vector containing NaN values is the mean
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| | 31 | % of all its non-NaN elements. If all elements are NaN,
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| | 32 | % the result is NaN.
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| | 33 | %
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| | 34 | % Example:
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| | 35 | % X = [1 2 3; 3 3 6; 4 6 8; 4 7 7]
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| | 36 | % mean(X,1)
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| | 37 | % mean(X,2)
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| | 38 | %
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| | 39 | % Class support for input X:
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| | 40 | % float: double, single
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| | 41 | % integer: uint8, int8, uint16, int16, uint32,
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| | 42 | % int32, uint64, int64
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| | 43 | %
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| | 44 | % See also MEDIAN, STD, MIN, MAX, VAR, COV, MODE.
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| | 45 |
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| | 46 | % Copyright 1984-2018 The MathWorks, Inc.
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| | 47 |
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< 0.001 | 101 | 48 | isDimSet = nargin > 1 && ((~ischar(dim) && ~(isstring(dim) && isscalar(dim))) || ...
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| | 49 | (~isInvalidText(dim) && strncmpi(dim,'all',max(strlength(dim), 1))));
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< 0.001 | 101 | 50 | isFlag2Set = nargin >= 4;
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| | 51 |
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< 0.001 | 101 | 52 | if nargin == 1 || (nargin == 2 && isDimSet)
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| | 53 |
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< 0.001 | 101 | 54 | flag = 'default';
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< 0.001 | 101 | 55 | omitnan = false;
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| | 56 |
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| | 57 | else % nargin >= 3 || (nargin == 2 && ~isDimSet)
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| | 58 |
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| | 59 | if nargin == 2
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| | 60 | flag = dim;
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| | 61 | elseif nargin == 3
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| | 62 | if ~isDimSet
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| | 63 | flag2 = dim;
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| | 64 | isFlag2Set = true;
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| | 65 | end
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| | 66 | elseif nargin == 4 && ~isDimSet
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| | 67 | error(message('MATLAB:mean:nonNumericSecondInput'));
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| | 68 | end
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| | 69 |
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| | 70 | if ~isFlag2Set
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| | 71 | flag2 = '';
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| | 72 | end
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| | 73 |
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| | 74 | [flag, omitnan] = parseInputs(flag, flag2, isFlag2Set);
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| | 75 |
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< 0.001 | 101 | 76 | end
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| | 77 |
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< 0.001 | 101 | 78 | if ~isDimSet
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| | 79 | % preserve backward compatibility with 0x0 empty
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< 0.001 | 101 | 80 | if isequal(x,[])
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| | 81 | y = sum(x,flag)./0;
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| | 82 | return
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| | 83 | end
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0.001 | 101 | 84 | dim = find(size(x)~=1,1);
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< 0.001 | 101 | 85 | if isempty(dim)
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| | 86 | dim = 1;
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| | 87 | end
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| | 88 | else
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| | 89 | if isempty(dim)
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| | 90 | error(message('MATLAB:mean:nonNumericSecondInput'));
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| | 91 | end
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< 0.001 | 101 | 92 | end
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| | 93 |
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< 0.001 | 101 | 94 | if ~isobject(x) && isinteger(x)
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| | 95 | % accumulation flag may still be partial
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| | 96 | isnative = strncmpi(flag, 'native', max(1, strlength(flag)));
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| | 97 | if intmin(class(x)) == 0 % unsigned integers
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| | 98 | y = sum(x,dim,flag);
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| | 99 | if (isnative && all(y(:) < intmax(class(x)))) || ...
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| | 100 | (~isnative && all(y(:) <= flintmax))
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| | 101 | % no precision lost, can use the sum result
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| | 102 | y = y./mysize(x,dim);
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| | 103 | else % throw away and recompute
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| | 104 | y = intmean(x,dim,isnative);
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| | 105 | end
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| | 106 | else % signed integers
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| | 107 | ypos = sum(max(x,0),dim,flag);
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| | 108 | yneg = sum(min(x,0),dim,flag);
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| | 109 | if (isnative && all(ypos(:) < intmax(class(x))) && ...
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| | 110 | all(yneg(:) > intmin(class(x)))) || ...
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| | 111 | (~isnative && all(ypos(:) <= flintmax) && ...
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| | 112 | all(yneg(:) >= -flintmax))
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| | 113 | % no precision lost, can use the sum result
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| | 114 | y = (ypos+yneg)./mysize(x,dim);
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| | 115 | else % throw away and recompute
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| | 116 | y = intmean(x,dim,isnative);
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| | 117 | end
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| | 118 | end
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< 0.001 | 101 | 119 | else
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< 0.001 | 101 | 120 | if omitnan
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| | 121 | % Compute sum and number of NaNs
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| | 122 | m = sum(x, dim, flag, 'omitnan');
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| | 123 | nr_nonnan = mysize(x, dim) - matlab.internal.math.countnan(x, dim);
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| | 124 | % Divide by the number of non-NaNs.
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| | 125 | y = m ./ nr_nonnan;
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< 0.001 | 101 | 126 | else
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0.004 | 101 | 127 | y = sum(x, dim, flag) ./ mysize(x,dim);
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< 0.001 | 101 | 128 | end
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< 0.001 | 101 | 129 | end
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| | 130 |
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< 0.001 | 101 | 131 | end
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Other subfunctions in this file are not included in this listing.