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Commit 34e8dd76 authored by hhakim's avatar hhakim
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Reindent the code.

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wrapper/matlab/Faust.m
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......@@ -41,596 +41,557 @@
classdef Faust
properties (SetAccess = private, Hidden = true)
matrix; % Handle to the FaustCore class instance
transpose_flag; % boolean to know if the Faust is transpose or not
isReal;
end
methods
function F = Faust(varargin)
%% FAUST Constructor - build a Faust from various type of input.
%
% Example of use :
%
% F = Faust(factors,lambda)
% -factor : 1D cell array of matrix (sparse or
% dense) representing the factor of the Faust
% -lambda : (optional) multiplicative scalar
%
% F = Faust(filename)
% filename : a filename (mat file) where a Faust is stored with save_Faust
if (nargin == 1) && ischar(varargin{1})
filename=varargin{1};
load(filename);
if (~exist('faust_factors','var') )
error('FaustCore : invalid file');
end
F=Faust(faust_factors);
else
%check if the factors are real or complex, at least one complex factor means a complex faust
factors=varargin{1};
isRealFlag = 1;
for i=1:length(factors)
if (~isreal(factors{i}))
isRealFlag = 0;
properties (SetAccess = private, Hidden = true)
matrix; % Handle to the FaustCore class instance
transpose_flag; % boolean to know if the Faust is transpose or not
isReal;
end
methods
function F = Faust(varargin)
%% FAUST Constructor - build a Faust from various type of input.
%
% Example of use :
%
% F = Faust(factors,lambda)
% -factor : 1D cell array of matrix (sparse or
% dense) representing the factor of the Faust
% -lambda : (optional) multiplicative scalar
%
% F = Faust(filename)
% filename : a filename (mat file) where a Faust is stored with save_Faust
if (nargin == 1) && ischar(varargin{1})
filename=varargin{1};
load(filename);
if (~exist('faust_factors','var') )
error('FaustCore : invalid file');
end
F=Faust(faust_factors);
else
%check if the factors are real or complex, at least one complex factor means a complex faust
factors=varargin{1};
isRealFlag = 1;
for i=1:length(factors)
if (~isreal(factors{i}))
isRealFlag = 0;
end
end
F.matrix = FaustCore(varargin{:});
F.transpose_flag = 0;
F.isReal = isRealFlag;
end
end
F.matrix = FaustCore(varargin{:});
F.transpose_flag = 0;
F.isReal = isRealFlag;
end
end
function delete(F)
%% DELETE Destructor delete the Faust.
% delete(F)
%
% See also Faust
if (this.isRealFlag)
mexFaustReal('delete', F.matrix.objectHandle);
else
mexFaustCplx('delete', F.matrix.objectHandle);
end
end
function C = mtimes(F,A)
%% MTIMES * Faust Multiplication (overloaded Matlab built-in function).
%
% C=mtimes(F,A) is called for syntax 'C=F*A', when F is a Faust matrix and A a full
% storage matrix, C is also a full matrix storage.
%
% See also mtimes_trans
if (F.isReal)
if (isreal(A))
C = mexFaustReal('multiply', F.matrix.objectHandle,A,F.transpose_flag);
else
C_real = mexFaustReal('multiply', F.matrix.objectHandle,real(A),F.transpose_flag);
C_imag = mexFaustReal('multiply', F.matrix.objectHandle,imag(A),F.transpose_flag);
C = C_real + 1i * C_imag;
function delete(F)
%% DELETE Destructor delete the Faust.
% delete(F)
%
% See also Faust
if (this.isRealFlag)
mexFaustReal('delete', F.matrix.objectHandle);
else
mexFaustCplx('delete', F.matrix.objectHandle);
end
end
else
C = mexFaustCplx('multiply', F.matrix.objectHandle,A,F.transpose_flag);
end
end
function C = mtimes_trans(F,A,trans)
%% MTIMES_TRANS Multiplication by a Faust or its non-conjugate transposed.
%
% C = mtimes_trans(F,A,trans) when F is a Faust,A a full storage
% matrix and trans a parameter, C a full storage matrix
% if trans == 0, C=F*A is performed (multiplication)
% if trans == 1, C=F'*A is performed (multiplication by transposed)
%
% See also mtimes.
if ~isreal(trans)
error('invalid argument trans, must be equal to 0 or 1');
end
if (trans ~= 1) && (trans ~= 0)
error('invalid argument trans, must be equal to 0 or 1');
end
isreally_trans=xor(trans,F.transpose_flag);
if (F.isReal)
if (isreal(A))
C = mexFaustReal('multiply', F.matrix.objectHandle,A,isreally_trans);
else
C_real = mexFaustReal('multiply', F.matrix.objectHandle,real(A),isreally_trans);
C_imag = mexFaustReal('multiply', F.matrix.objectHandle,imag(A),isreally_trans);
C = C_real + 1i * C_imag;
function C = mtimes(F,A)
%% MTIMES * Faust Multiplication (overloaded Matlab built-in function).
%
% C=mtimes(F,A) is called for syntax 'C=F*A', when F is a Faust matrix and A a full
% storage matrix, C is also a full matrix storage.
%
% See also mtimes_trans
if (F.isReal)
if (isreal(A))
C = mexFaustReal('multiply', F.matrix.objectHandle,A,F.transpose_flag);
else
C_real = mexFaustReal('multiply', F.matrix.objectHandle,real(A),F.transpose_flag);
C_imag = mexFaustReal('multiply', F.matrix.objectHandle,imag(A),F.transpose_flag);
C = C_real + 1i * C_imag;
end
else
C = mexFaustCplx('multiply', F.matrix.objectHandle,A,F.transpose_flag);
end
end
else
C = mexFaustCplx('multiply', F.matrix.objectHandle,A,isreally_trans);
end
end
function A = full(F)
%% FULL Convert Faust matrix to full matrix (overloaded Matlab
% built-in function).
%
% A=full(F) converts a Faust matrix F to full storage matrix A.
if (F.isReal)
A=mexFaustReal('full',F.matrix.objectHandle,F.transpose_flag);
else
A=mexFaustCplx('full',F.matrix.objectHandle,F.transpose_flag);
end
end
function bool = isreal(F)
%% ISREAL True for real scalar Faust (overloaded Matlab built-in function).
%
% isreal(F) returns 1 if Faust F does not have an imaginary part
% and 0 otherwise.
bool=F.isReal;
end
function C = mtimes_trans(F,A,trans)
%% MTIMES_TRANS Multiplication by a Faust or its non-conjugate transposed.
%
% C = mtimes_trans(F,A,trans) when F is a Faust,A a full storage
% matrix and trans a parameter, C a full storage matrix
% if trans == 0, C=F*A is performed (multiplication)
% if trans == 1, C=F'*A is performed (multiplication by transposed)
%
% See also mtimes.
function F_trans=transpose(F)
%% TRANSPOSE .' Non-conjugate transposed Faust (overloaded Matlab built-in function).
%
% F_trans = transpose(F) is called for the syntax F.' when F is Faust.
%
% WARNING : currently Faust is a real matrix, so the conjugate transposition is the same as the real one
%
% See also ctranspose.
F_trans=F; % trans and F point share the same C++ underlying object (objectHandle)
F_trans.transpose_flag = xor(1,F.transpose_flag); % inverse the transpose flag
end
function F_ctrans=ctranspose(F)
%% CTRANSPOSE ' Complex conjugate transposed Faust (overloaded Matlab built-in function).
%
% F_trans = ctranspose(F) is called for syntax F' (complex conjugate transpose) when F is a Faust.
%
% WARNING : ctranspose is not yet implementd for complex Faust, only supported for real Faust
%
% See also transpose.
if (isreal(F))
F_ctrans=transpose(F);
else
error('TODO : ctranspose is not yet implemented for complex scalar Faust');
end
end
function F_conj=conj(F)
%% CONJ ' Complex conjugate Faust (WARNING not implemented) (overloaded Matlab built-in function).
%
% F_trans = conj(F) For a complex F, conj(X) = REAL(F) - i*IMAG(F)
%
%
error('TODO : conjugate is not yet implemented for Faust');
end
function varargout = size(F,varargin)
%% SIZE Size of a Faust (overloaded Matlab built-in function).
%
% D = size(F), for a Faust F, returns the two-element row vector
% D = [M,N] containing the number of rows and columns in the Faust.
%
% M = size(F,DIM) returns the length of the dimension specified
% by the scalar DIM. For example, size(X,1) returns the number
% of rows and size(F,2) returns the number of columns in the Faust.
% If DIM > 2, M will be 1.
nb_input = length(varargin);
if (nb_input > 1)
error('Too many input arguments');
end
if ((nb_input == 1) && (nargout > 1) | (nargout > 2))
error('Too many output arguments');
end
Size=[-1 -1];
if (F.isReal)
Size=mexFaustReal('size',F.matrix.objectHandle);
else
Size=mexFaustCplx('size',F.matrix.objectHandle);
end
% if the Faust is tranposed, inverse the dimension
if(F.transpose_flag)
Size = Size*[0,1;1,0];
end
if (nb_input~=0)
dimension_arg=varargin{1};
if (floor(dimension_arg) ~= dimension_arg)
error('Dimension argument must be a positive integer scalar within indexing range');
end
if (varargin{1}==1)
Size=Size(1);
elseif (varargin{1}==2)
Size=Size(2);
else
Size=1;
end
end
if (nargout < 2)
varargout{1}=Size;
else
varargout{1}=Size(1);
varargout{2}=Size(2);
end
end
function end_dim = end(F,k,n)
%% END (useful for slicing) serve as the last index in an indexing expression (overloaded Matlab built-in function).
%
% Examples of use for slicing a Faust F are
% F(3:end,1) : in this case, end=size(F,1)
% i.e end equals to the number of row of the Faust F.
% F(1,1:2:end-1) : in this case, end=size(F,2)
% end equals to the number of column fo the Faust F.
%
% See also subsref, size.
if (n ~= 2)
error('invalid slicing : Faust is a 2D array i.e matrix');
end
if ~isreal(trans)
error('invalid argument trans, must be equal to 0 or 1');
end
end_dim=size(F,k);
if (trans ~= 1) && (trans ~= 0)
error('invalid argument trans, must be equal to 0 or 1');
end
isreally_trans=xor(trans,F.transpose_flag);
if (F.isReal)
if (isreal(A))
C = mexFaustReal('multiply', F.matrix.objectHandle,A,isreally_trans);
else
C_real = mexFaustReal('multiply', F.matrix.objectHandle,real(A),isreally_trans);
C_imag = mexFaustReal('multiply', F.matrix.objectHandle,imag(A),isreally_trans);
C = C_real + 1i * C_imag;
end
else
C = mexFaustCplx('multiply', F.matrix.objectHandle,A,isreally_trans);
end
end
end
function A = full(F)
%% FULL Convert Faust matrix to full matrix (overloaded Matlab
% built-in function).
%
% A=full(F) converts a Faust matrix F to full storage matrix A.
if (F.isReal)
A=mexFaustReal('full',F.matrix.objectHandle,F.transpose_flag);
else
A=mexFaustCplx('full',F.matrix.objectHandle,F.transpose_flag);
end
function factor = get_fact(F,id)
%% GET_FACT Ith factor of the Faust.
%
% A=get_fact(F,id) return the id factor A of the Faust F as a full storage matrix.
%
% Example of use :
% A=get_fact(F,1) returns the 1st factor of the Faust F.
% A=get_fact(F,4) returns the 4th factor of the Faust F.
%
% See also get_nb_factor.
if (~isa(id,'double'))
error('get_fact second argument (indice) must either be real positive integers or logicals.');
end
if (floor(id) ~= id)
error('get_fact second argument (indice) must either be real positive integers or logicals.');
end
function bool = isreal(F)
%% ISREAL True for real scalar Faust (overloaded Matlab built-in function).
%
% isreal(F) returns 1 if Faust F does not have an imaginary part
% and 0 otherwise.
bool=F.isReal;
if (F.transpose_flag)
id = get_nb_factor(F)+1-id;
end
if (F.isReal)
factor = mexFaustReal('get_fact',F.matrix.objectHandle,id);
else
factor = mexFaustCplx('get_fact',F.matrix.objectHandle,id);
end
if (F.transpose_flag)
factor = factor';
end
end
function F_trans=transpose(F)
%% TRANSPOSE .' Non-conjugate transposed Faust (overloaded Matlab built-in function).
%
% F_trans = transpose(F) is called for the syntax F.' when F is Faust.
%
% WARNING : currently Faust is a real matrix, so the conjugate transposition is the same as the real one
%
% See also ctranspose.
F_trans=F; % trans and F point share the same C++ underlying object (objectHandle)
F_trans.transpose_flag = xor(1,F.transpose_flag); % inverse the transpose flag
function nb_factor = get_nb_factor(F)
%% GET_NB_FACTOR Number of factor of the Faust.
%
% nb_factor = get_nb_factor(F) return the number of factor of the
% Faust F.
%
% See also get_fact.
if (F.isReal)
nb_factor = mexFaustReal('get_nb_factor',F.matrix.objectHandle);
else
nb_factor = mexFaustCplx('get_nb_factor',F.matrix.objectHandle);
end
end
function save(F,filename)
%% SAVE Save a Faust into a matfile.
%
% save(F,filename) save the Faust F into the .mat file specified by
% filename.
if (~ischar(filename))
error('second argument must contains a string (a filename)');
end
nb_fact=get_nb_factor(F);
faust_factors=cell(1,nb_fact);
for i=1:nb_fact
faust_factors{i}=get_fact(F,i);
function F_ctrans=ctranspose(F)
%% CTRANSPOSE ' Complex conjugate transposed Faust (overloaded Matlab built-in function).
%
% F_trans = ctranspose(F) is called for syntax F' (complex conjugate transpose) when F is a Faust.
%
% WARNING : ctranspose is not yet implementd for complex Faust, only supported for real Faust
%
% See also transpose.
if (isreal(F))
F_ctrans=transpose(F);
else
error('TODO : ctranspose is not yet implemented for complex scalar Faust');
end
end
save(filename,'faust_factors');
end
function submatrix=subsref(F,S)
%% SUBSREF Subscripted reference (overloaded Matlab built-in function).
%
% F(I,J) is an array formed from the elements of the rectangular
% submatrix of the Faust F specified by the subscript vectors I and J. The
% resulting array has LENGTH(I) rows and LENGTH(J) columns. A colon used
% as a subscript, as in F(I,:), indicates all columns of those rows
% indicated by vector I. Similarly, F(:,J) = B means all rows of columns
%J.
%
% Example of use :
% A(i,j) A(:,j) A(3:4,2:5) A(1:end,5:end-1)
%
% See also end.
if (~isfield(S,'type')) | (~isfield(S,'subs'))
error(' subsref invalid structure S missing field type or subs');
end
function F_conj=conj(F)
%% CONJ ' Complex conjugate Faust (WARNING not implemented) (overloaded Matlab built-in function).
%
% F_trans = conj(F) For a complex F, conj(X) = REAL(F) - i*IMAG(F)
%
%
if (~ischar(S.type)) | (~iscell(S.subs))
error(' subsref invalid structure S, S.type must be a char, S.subs must be a cell-array');
end
if ~strcmp(S.type,'()')
error(' subsref is only overloaded for () operator');
end
error('TODO : conjugate is not yet implemented for Faust');
if (length(S.subs) ~=2)
invalid(' subsref invalid slicing must have 2 index since F is a 2D-array');
end
slicing_row=S.subs{1};
slicing_col=S.subs{2};
[dim1 dim2]=size(F);
if ischar(slicing_row)
nb_row_selected = dim1;
else
nb_row_selected = length(slicing_row);
end
if ischar(slicing_col)
nb_col_selected = dim2;
else
nb_col_selected = length(slicing_col);
end
% evaluate the complexity of getting the coeff by doing
% A*Identity or A'*Identity
transpose_evaluation = (nb_col_selected > nb_row_selected);
if transpose_evaluation
identity=eye(dim1);
transpose_flag=1;
% switch the 2 different slicing
tmp=slicing_row;
slicing_row=slicing_col;
slicing_col=tmp;
else
identity=eye(dim2);
transpose_flag=0;
function varargout = size(F,varargin)
%% SIZE Size of a Faust (overloaded Matlab built-in function).
%
% D = size(F), for a Faust F, returns the two-element row vector
% D = [M,N] containing the number of rows and columns in the Faust.
%
% M = size(F,DIM) returns the length of the dimension specified
% by the scalar DIM. For example, size(X,1) returns the number
% of rows and size(F,2) returns the number of columns in the Faust.
% If DIM > 2, M will be 1.
nb_input = length(varargin);
if (nb_input > 1)
error('Too many input arguments');
end
if ((nb_input == 1) && (nargout > 1) | (nargout > 2))
error('Too many output arguments');
end
Size=[-1 -1];
if (F.isReal)
Size=mexFaustReal('size',F.matrix.objectHandle);
else
Size=mexFaustCplx('size',F.matrix.objectHandle);
end
% if the Faust is tranposed, inverse the dimension
if(F.transpose_flag)
Size = Size*[0,1;1,0];
end
if (nb_input~=0)
dimension_arg=varargin{1};
if (floor(dimension_arg) ~= dimension_arg)
error('Dimension argument must be a positive integer scalar within indexing range');
end
if (varargin{1}==1)
Size=Size(1);
elseif (varargin{1}==2)
Size=Size(2);
else
Size=1;
end
end
if (nargout < 2)
varargout{1}=Size;
else
varargout{1}=Size(1);
varargout{2}=Size(2);
end
end
% selects the column of the identity, if slicing_col is a char, all
% the column are selected
if ~ischar(slicing_col)
identity=identity(:,slicing_col);
function end_dim = end(F,k,n)
%% END (useful for slicing) serve as the last index in an indexing expression (overloaded Matlab built-in function).
%
% Examples of use for slicing a Faust F are
% F(3:end,1) : in this case, end=size(F,1)
% i.e end equals to the number of row of the Faust F.
% F(1,1:2:end-1) : in this case, end=size(F,2)
% end equals to the number of column fo the Faust F.
%
% See also subsref, size.
if (n ~= 2)
error('invalid slicing : Faust is a 2D array i.e matrix');
end
end_dim=size(F,k);
end
% perform A*identity or A'*identity
submatrix=mtimes_trans(F,identity,transpose_flag);
% selects the row of the submatrix, if slicing_row is a char, all
% the row are selected
if ~ischar(slicing_row)
submatrix=submatrix(slicing_row,:);
function factor = get_fact(F,id)
%% GET_FACT Ith factor of the Faust.
%
% A=get_fact(F,id) return the id factor A of the Faust F as a full storage matrix.
%
% Example of use :
% A=get_fact(F,1) returns the 1st factor of the Faust F.
% A=get_fact(F,4) returns the 4th factor of the Faust F.
%
% See also get_nb_factor.
if (~isa(id,'double'))
error('get_fact second argument (indice) must either be real positive integers or logicals.');
end
if (floor(id) ~= id)
error('get_fact second argument (indice) must either be real positive integers or logicals.');
end
if (F.transpose_flag)
id = get_nb_factor(F)+1-id;
end
if (F.isReal)
factor = mexFaustReal('get_fact',F.matrix.objectHandle,id);
else
factor = mexFaustCplx('get_fact',F.matrix.objectHandle,id);
end
if (F.transpose_flag)
factor = factor';
end
end
% transpose if needed
if transpose_evaluation
submatrix=submatrix';
function nb_factor = get_nb_factor(F)
%% GET_NB_FACTOR Number of factor of the Faust.
%
% nb_factor = get_nb_factor(F) return the number of factor of the
% Faust F.
%
% See also get_fact.
if (F.isReal)
nb_factor = mexFaustReal('get_nb_factor',F.matrix.objectHandle);
else
nb_factor = mexFaustCplx('get_nb_factor',F.matrix.objectHandle);
end
end
end
function F = subsasgn(F,S,B)
%% SUBSASGN (WARNING not implemented) (overloaded Matlab built-in function)
%
% This function is no available for Faust class,
% this function just throw an error
%
% F(i,j)=1, F(2:5,3:5)=zeros(4,3) will throw
% a Matlab error with this message :
% 'function not implemented for Faust class'
error('function not implemented for Faust class');
end
function disp(F)
%% DISP shows the characteristic of the Faust (overloaded Matlab built-in function)
%
%
% This function shows the size of the Faust,
% its number of factor, its RCG ...
%
if (F.isReal)
mexFaustReal('disp',F.matrix.objectHandle);
else
mexFaustCplx('disp',F.matrix.objectHandle);
end
end
function norm_Faust=norm(F,varargin)
%% NORM Faust norm (overloaded Matlab built-in function).
%
% norm(F,2) when F is Faust returns the 2-norm of F
% norm(F) is the same as norm(F)
%
% WARNING : norm(F,typenorm) is only supported when typenorm equals 2
nb_input = length(varargin);
if (nb_input > 1)
error('Too many input arguments');
end
if nb_input == 1
if varargin{1} ~= 2
error('only 2-norm is supported for the Faust');
function save(F,filename)
%% SAVE Save a Faust into a matfile.
%
% save(F,filename) save the Faust F into the .mat file specified by
% filename.
if (~ischar(filename))
error('second argument must contains a string (a filename)');
end
nb_fact=get_nb_factor(F);
faust_factors=cell(1,nb_fact);
for i=1:nb_fact
faust_factors{i}=get_fact(F,i);
end
save(filename,'faust_factors');
end
end
% the transpose flag of the Faust is ignored because norm(A)==norm(A')
if (F.isReal)
norm_Faust=mexFaustReal('norm',F.matrix.objectHandle);
else
norm_Faust=mexFaustCplx('norm',F.matrix.objectHandle);
end
end
function submatrix=subsref(F,S)
%% SUBSREF Subscripted reference (overloaded Matlab built-in function).
%
% F(I,J) is an array formed from the elements of the rectangular
% submatrix of the Faust F specified by the subscript vectors I and J. The
% resulting array has LENGTH(I) rows and LENGTH(J) columns. A colon used
% as a subscript, as in F(I,:), indicates all columns of those rows
% indicated by vector I. Similarly, F(:,J) = B means all rows of columns
%J.
%
% Example of use :
% A(i,j) A(:,j) A(3:4,2:5) A(1:end,5:end-1)
%
% See also end.
if (~isfield(S,'type')) | (~isfield(S,'subs'))
error(' subsref invalid structure S missing field type or subs');
end
if (~ischar(S.type)) | (~iscell(S.subs))
error(' subsref invalid structure S, S.type must be a char, S.subs must be a cell-array');
end
function nz=nnz(F)
%% NNZ Number of nonzero elements in a Faust (overloaded Matlab built-in function).
%
% nz = nnz(F) is the number of nonzero elements in the Faust F.
%
% See also density, RCG.
if (F.isReal)
nz=mexFaustReal('nnz',F.matrix.objectHandle);
else
nz=mexFaustCplx('nnz',F.matrix.objectHandle);
end
end
if ~strcmp(S.type,'()')
error(' subsref is only overloaded for () operator');
end
if (length(S.subs) ~=2)
invalid(' subsref invalid slicing must have 2 index since F is a 2D-array');
end
function dens=density(F)
%% DENSITY Density of the Faust.
%
% dens = density(F) when F is a Faust returns the
% percentage of nonzero elements of F,
% dens is a number between 0 and 1.
% In some degenerated case, dens can be greater than 1.
% If the Faust is empty, return -1.
%
% See also RCG, nnz.
prod_dim=prod(size(F));
if (prod_dim ~= 0)
dens=nnz(F)/prod_dim;
else
dens = -1;
end
end
slicing_row=S.subs{1};
slicing_col=S.subs{2};
[dim1 dim2]=size(F);
function speed_up=RCG(F)
%% RCG Relative Complexity Gain (inverse of the density)
%
% speed_up = RCG(F) when F is Faust, returns the
% inverse of density of the Faust (i.e the theoretical gain
% both for storage and multiplication computation time between the Faust and its full storage
% equivalent full(F)).
%
% See also density, nnz.
dens=density(F);
if (dens > 0)
speed_up=1/dens;
else
if (dens == 0)
speed_up=Inf;
else
speed_up = -1;
end
end
end
if ischar(slicing_row)
nb_row_selected = dim1;
else
nb_row_selected = length(slicing_row);
end
end
end
if ischar(slicing_col)
nb_col_selected = dim2;
else
nb_col_selected = length(slicing_col);
end
% evaluate the complexity of getting the coeff by doing
% A*Identity or A'*Identity
transpose_evaluation = (nb_col_selected > nb_row_selected);
if transpose_evaluation
identity=eye(dim1);
transpose_flag=1;
% switch the 2 different slicing
tmp=slicing_row;
slicing_row=slicing_col;
slicing_col=tmp;
else
identity=eye(dim2);
transpose_flag=0;
end
% selects the column of the identity, if slicing_col is a char, all
% the column are selected
if ~ischar(slicing_col)
identity=identity(:,slicing_col);
end
% perform A*identity or A'*identity
submatrix=mtimes_trans(F,identity,transpose_flag);
% selects the row of the submatrix, if slicing_row is a char, all
% the row are selected
if ~ischar(slicing_row)
submatrix=submatrix(slicing_row,:);
end
% transpose if needed
if transpose_evaluation
submatrix=submatrix';
end
end
function F = subsasgn(F,S,B)
%% SUBSASGN (WARNING not implemented) (overloaded Matlab built-in function)
%
% This function is no available for Faust class,
% this function just throw an error
%
% F(i,j)=1, F(2:5,3:5)=zeros(4,3) will throw
% a Matlab error with this message :
% 'function not implemented for Faust class'
error('function not implemented for Faust class');
end
function disp(F)
%% DISP shows the characteristic of the Faust (overloaded Matlab built-in function)
%
%
% This function shows the size of the Faust,
% its number of factor, its RCG ...
%
if (F.isReal)
mexFaustReal('disp',F.matrix.objectHandle);
else
mexFaustCplx('disp',F.matrix.objectHandle);
end
end
function norm_Faust=norm(F,varargin)
%% NORM Faust norm (overloaded Matlab built-in function).
%
% norm(F,2) when F is Faust returns the 2-norm of F
% norm(F) is the same as norm(F)
%
% WARNING : norm(F,typenorm) is only supported when typenorm equals 2
nb_input = length(varargin);
if (nb_input > 1)
error('Too many input arguments');
end
if nb_input == 1
if varargin{1} ~= 2
error('only 2-norm is supported for the Faust');
end
end
% the transpose flag of the Faust is ignored because norm(A)==norm(A')
if (F.isReal)
norm_Faust=mexFaustReal('norm',F.matrix.objectHandle);
else
norm_Faust=mexFaustCplx('norm',F.matrix.objectHandle);
end
end
function nz=nnz(F)
%% NNZ Number of nonzero elements in a Faust (overloaded Matlab built-in function).
%
% nz = nnz(F) is the number of nonzero elements in the Faust F.
%
% See also density, RCG.
if (F.isReal)
nz=mexFaustReal('nnz',F.matrix.objectHandle);
else
nz=mexFaustCplx('nnz',F.matrix.objectHandle);
end
end
function dens=density(F)
%% DENSITY Density of the Faust.
%
% dens = density(F) when F is a Faust returns the
% percentage of nonzero elements of F,
% dens is a number between 0 and 1.
% In some degenerated case, dens can be greater than 1.
% If the Faust is empty, return -1.
%
% See also RCG, nnz.
prod_dim=prod(size(F));
if (prod_dim ~= 0)
dens=nnz(F)/prod_dim;
else
dens = -1;
end
end
function speed_up=RCG(F)
%% RCG Relative Complexity Gain (inverse of the density)
%
% speed_up = RCG(F) when F is Faust, returns the
% inverse of density of the Faust (i.e the theoretical gain
% both for storage and multiplication computation time between the Faust and its full storage
% equivalent full(F)).
%
% See also density, nnz.
dens=density(F);
if (dens > 0)
speed_up=1/dens;
else
if (dens == 0)
speed_up=Inf;
else
speed_up = -1;
end
end
end
end
end
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