1 %module
"Math::GSL::Matrix"
4 %include
"gsl_typemaps.i"
5 %apply int
*OUTPUT { size_t
*imin
, size_t
*imax
, size_t
*jmin
, size_t
*jmax
};
6 %apply double
*OUTPUT { double
* min_out
, double
* max_out
};
9 #include
"gsl/gsl_matrix.h"
10 #include
"gsl/gsl_complex.h"
11 #include
"gsl/gsl_vector_double.h"
12 #include
"gsl/gsl_matrix_double.h"
13 #include
"gsl/gsl_matrix_int.h"
14 #include
"gsl/gsl_matrix_complex_double.h"
15 #include
"gsl/gsl_matrix_char.h"
18 %include
"gsl/gsl_matrix.h"
19 %include
"gsl/gsl_complex.h"
20 %include
"gsl/gsl_vector_double.h"
21 %include
"gsl/gsl_matrix_double.h"
22 %include
"gsl/gsl_matrix_int.h"
23 %include
"gsl/gsl_matrix_complex_double.h"
24 %include
"gsl/gsl_matrix_char.h"
30 use Math
::GSL qw
/:all
/;
31 use Math
::GSL
::Errno qw
/:all
/;
34 gsl_matrix_alloc gsl_matrix_calloc gsl_matrix_alloc_from_block
35 gsl_matrix_alloc_from_matrix gsl_vector_alloc_row_from_matrix
36 gsl_vector_alloc_col_from_matrix gsl_matrix_free gsl_matrix_submatrix
37 gsl_matrix_row gsl_matrix_column gsl_matrix_diagonal
38 gsl_matrix_subdiagonal gsl_matrix_superdiagonal gsl_matrix_subrow
39 gsl_matrix_subcolumn gsl_matrix_view_array
40 gsl_matrix_view_array_with_tda gsl_matrix_view_vector
41 gsl_matrix_view_vector_with_tda gsl_matrix_const_submatrix
42 gsl_matrix_const_row gsl_matrix_const_column gsl_matrix_const_diagonal
43 gsl_matrix_const_subdiagonal gsl_matrix_const_superdiagonal
44 gsl_matrix_const_subrow gsl_matrix_const_subcolumn
45 gsl_matrix_const_view_array gsl_matrix_const_view_array_with_tda
46 gsl_matrix_const_view_vector gsl_matrix_const_view_vector_with_tda
47 gsl_matrix_get gsl_matrix_set gsl_matrix_ptr gsl_matrix_const_ptr
48 gsl_matrix_set_zero gsl_matrix_set_identity gsl_matrix_set_all
49 gsl_matrix_fread gsl_matrix_fwrite gsl_matrix_fscanf gsl_matrix_fprintf
50 gsl_matrix_memcpy gsl_matrix_swap gsl_matrix_swap_rows
51 gsl_matrix_swap_columns gsl_matrix_swap_rowcol gsl_matrix_transpose
52 gsl_matrix_transpose_memcpy gsl_matrix_max gsl_matrix_min
53 gsl_matrix_minmax gsl_matrix_max_index gsl_matrix_min_index
54 gsl_matrix_minmax_index gsl_matrix_isnull gsl_matrix_ispos
55 gsl_matrix_isneg gsl_matrix_isnonneg gsl_matrix_add gsl_matrix_sub
56 gsl_matrix_mul_elements gsl_matrix_div_elements gsl_matrix_scale
57 gsl_matrix_add_constant gsl_matrix_add_diagonal
58 gsl_matrix_char_alloc gsl_matrix_char_calloc gsl_matrix_char_alloc_from_block
59 gsl_matrix_char_alloc_from_matrix gsl_vector_char_alloc_row_from_matrix gsl_vector_char_alloc_col_from_matrix
60 gsl_matrix_char_free gsl_matrix_char_submatrix
61 gsl_matrix_char_row gsl_matrix_char_column
62 gsl_matrix_char_diagonal gsl_matrix_char_subdiagonal gsl_matrix_char_superdiagonal
63 gsl_matrix_char_subrow gsl_matrix_char_subcolumn gsl_matrix_char_view_array
64 gsl_matrix_char_view_array_with_tda gsl_matrix_char_view_vector gsl_matrix_char_view_vector_with_tda
65 gsl_matrix_char_const_submatrix gsl_matrix_char_const_row gsl_matrix_char_const_column
66 gsl_matrix_char_const_diagonal gsl_matrix_char_const_subdiagonal gsl_matrix_char_const_superdiagonal
67 gsl_matrix_char_const_subrow gsl_matrix_char_const_subcolumn gsl_matrix_char_const_view_array
68 gsl_matrix_char_const_view_array_with_tda gsl_matrix_char_const_view_vector gsl_matrix_char_const_view_vector_with_tda
69 gsl_matrix_char_get gsl_matrix_char_set gsl_matrix_char_ptr gsl_matrix_char_const_ptr
70 gsl_matrix_char_set_zero gsl_matrix_char_set_identity
71 gsl_matrix_char_set_all gsl_matrix_char_fread
72 gsl_matrix_char_fwrite gsl_matrix_char_fscanf gsl_matrix_char_fprintf
73 gsl_matrix_char_memcpy gsl_matrix_char_swap
74 gsl_matrix_char_swap_rows gsl_matrix_char_swap_columns
75 gsl_matrix_char_swap_rowcol gsl_matrix_char_transpose gsl_matrix_char_transpose_memcpy
76 gsl_matrix_char_max gsl_matrix_char_min
77 gsl_matrix_char_minmax gsl_matrix_char_max_index
78 gsl_matrix_char_min_index gsl_matrix_char_minmax_index
79 gsl_matrix_char_isnull gsl_matrix_char_ispos gsl_matrix_char_isneg
80 gsl_matrix_char_isnonneg gsl_matrix_char_add
81 gsl_matrix_char_sub gsl_matrix_char_mul_elements gsl_matrix_char_div_elements
82 gsl_matrix_char_scale gsl_matrix_char_add_constant gsl_matrix_char_add_diagonal
83 gsl_matrix_int_alloc gsl_matrix_int_calloc gsl_matrix_int_alloc_from_block
84 gsl_matrix_int_alloc_from_matrix gsl_vector_int_alloc_row_from_matrix gsl_vector_int_alloc_col_from_matrix
85 gsl_matrix_int_free gsl_matrix_int_submatrix gsl_matrix_int_row
86 gsl_matrix_int_column gsl_matrix_int_diagonal gsl_matrix_int_subdiagonal
87 gsl_matrix_int_superdiagonal gsl_matrix_int_subrow gsl_matrix_int_subcolumn gsl_matrix_int_view_array
88 gsl_matrix_int_view_array_with_tda gsl_matrix_int_view_vector gsl_matrix_int_view_vector_with_tda
89 gsl_matrix_int_const_submatrix gsl_matrix_int_const_row gsl_matrix_int_const_column
90 gsl_matrix_int_const_diagonal gsl_matrix_int_const_subdiagonal gsl_matrix_int_const_superdiagonal
91 gsl_matrix_int_const_subrow gsl_matrix_int_const_subcolumn gsl_matrix_int_const_view_array
92 gsl_matrix_int_const_view_array_with_tda gsl_matrix_int_const_view_vector gsl_matrix_int_const_view_vector_with_tda
93 gsl_matrix_int_get gsl_matrix_int_set
94 gsl_matrix_int_ptr gsl_matrix_int_const_ptr
95 gsl_matrix_int_set_zero gsl_matrix_int_set_identity gsl_matrix_int_set_all
96 gsl_matrix_int_fread gsl_matrix_int_fwrite
97 gsl_matrix_int_fscanf gsl_matrix_int_fprintf
98 gsl_matrix_int_memcpy gsl_matrix_int_swap
99 gsl_matrix_int_swap_rows gsl_matrix_int_swap_columns gsl_matrix_int_swap_rowcol
100 gsl_matrix_int_transpose gsl_matrix_int_transpose_memcpy
101 gsl_matrix_int_max gsl_matrix_int_min gsl_matrix_int_minmax
102 gsl_matrix_int_max_index gsl_matrix_int_min_index
103 gsl_matrix_int_minmax_index gsl_matrix_int_isnull
104 gsl_matrix_int_ispos gsl_matrix_int_isneg gsl_matrix_int_isnonneg
105 gsl_matrix_int_add gsl_matrix_int_sub
106 gsl_matrix_int_mul_elements gsl_matrix_int_div_elements gsl_matrix_int_scale
107 gsl_matrix_int_add_constant gsl_matrix_int_add_diagonal
108 gsl_matrix_get_row gsl_matrix_get_col gsl_matrix_set_row gsl_matrix_set_col
109 gsl_matrix_complex_alloc gsl_matrix_complex_calloc gsl_matrix_complex_alloc_from_block
110 gsl_matrix_complex_alloc_from_matrix gsl_vector_complex_alloc_row_from_matrix gsl_vector_complex_alloc_col_from_matrix
111 gsl_matrix_complex_free gsl_matrix_complex_submatrix gsl_matrix_complex_row
112 gsl_matrix_complex_column gsl_matrix_complex_diagonal gsl_matrix_complex_subdiagonal
113 gsl_matrix_complex_superdiagonal gsl_matrix_complex_subrow gsl_matrix_complex_subcolumn
114 gsl_matrix_complex_view_array gsl_matrix_complex_view_array_with_tda gsl_matrix_complex_view_vector
115 gsl_matrix_complex_view_vector_with_tda gsl_matrix_complex_const_submatrix gsl_matrix_complex_const_row
116 gsl_matrix_complex_const_column gsl_matrix_complex_const_diagonal gsl_matrix_complex_const_subdiagonal
117 gsl_matrix_complex_const_superdiagonal gsl_matrix_complex_const_subrow gsl_matrix_complex_const_subcolumn
118 gsl_matrix_complex_const_view_array gsl_matrix_complex_const_view_array_with_tda gsl_matrix_complex_const_view_vector
119 gsl_matrix_complex_const_view_vector_with_tda gsl_matrix_complex_get gsl_matrix_complex_set
120 gsl_matrix_complex_ptr gsl_matrix_complex_const_ptr gsl_matrix_complex_set_zero
121 gsl_matrix_complex_set_identity gsl_matrix_complex_set_all gsl_matrix_complex_fread
122 gsl_matrix_complex_fwrite gsl_matrix_complex_fscanf gsl_matrix_complex_fprintf
123 gsl_matrix_complex_memcpy gsl_matrix_complex_swap gsl_matrix_complex_swap_rows
124 gsl_matrix_complex_swap_columns gsl_matrix_complex_swap_rowcol gsl_matrix_complex_transpose
125 gsl_matrix_complex_transpose_memcpy gsl_matrix_complex_isnull gsl_matrix_complex_ispos
126 gsl_matrix_complex_isneg gsl_matrix_complex_add gsl_matrix_complex_sub
127 gsl_matrix_complex_mul_elements gsl_matrix_complex_div_elements gsl_matrix_complex_scale
128 gsl_matrix_complex_add_constant gsl_matrix_complex_add_diagonal gsl_matrix_complex_get_row
129 gsl_matrix_complex_get_col gsl_matrix_complex_set_row gsl_matrix_complex_set_col
/;
133 %EXPORT_TAGS
= ( all
=> [ @EXPORT_OK
],
135 gsl_matrix_char_alloc
136 gsl_matrix_char_calloc
137 gsl_matrix_char_alloc_from_block
138 gsl_matrix_char_alloc_from_matrix
139 gsl_vector_char_alloc_row_from_matrix
140 gsl_vector_char_alloc_col_from_matrix
142 gsl_matrix_char_submatrix
144 gsl_matrix_char_column
145 gsl_matrix_char_diagonal
146 gsl_matrix_char_subdiagonal
147 gsl_matrix_char_superdiagonal
148 gsl_matrix_char_subrow
149 gsl_matrix_char_subcolumn
150 gsl_matrix_char_view_array
151 gsl_matrix_char_view_array_with_tda
152 gsl_matrix_char_view_vector
153 gsl_matrix_char_view_vector_with_tda
154 gsl_matrix_char_const_submatrix
155 gsl_matrix_char_const_row
156 gsl_matrix_char_const_column
157 gsl_matrix_char_const_diagonal
158 gsl_matrix_char_const_subdiagonal
159 gsl_matrix_char_const_superdiagonal
160 gsl_matrix_char_const_subrow
161 gsl_matrix_char_const_subcolumn
162 gsl_matrix_char_const_view_array
163 gsl_matrix_char_const_view_array_with_tda
164 gsl_matrix_char_const_view_vector
165 gsl_matrix_char_const_view_vector_with_tda
169 gsl_matrix_char_const_ptr
170 gsl_matrix_char_set_zero
171 gsl_matrix_char_set_identity
172 gsl_matrix_char_set_all
173 gsl_matrix_char_fread
174 gsl_matrix_char_fwrite
175 gsl_matrix_char_fscanf
176 gsl_matrix_char_fprintf
177 gsl_matrix_char_memcpy
179 gsl_matrix_char_swap_rows
180 gsl_matrix_char_swap_columns
181 gsl_matrix_char_swap_rowcol
182 gsl_matrix_char_transpose
183 gsl_matrix_char_transpose_memcpy
186 gsl_matrix_char_minmax
187 gsl_matrix_char_max_index
188 gsl_matrix_char_min_index
189 gsl_matrix_char_minmax_index
190 gsl_matrix_char_isnull
191 gsl_matrix_char_ispos
192 gsl_matrix_char_isneg
193 gsl_matrix_char_isnonneg
196 gsl_matrix_char_mul_elements
197 gsl_matrix_char_div_elements
198 gsl_matrix_char_scale
199 gsl_matrix_char_add_constant
200 gsl_matrix_char_add_diagonal
206 gsl_matrix_alloc_from_block
207 gsl_matrix_alloc_from_matrix
208 gsl_vector_alloc_row_from_matrix
209 gsl_vector_alloc_col_from_matrix
215 gsl_matrix_subdiagonal
216 gsl_matrix_superdiagonal
219 gsl_matrix_view_array
220 gsl_matrix_view_array_with_tda
221 gsl_matrix_view_vector
222 gsl_matrix_view_vector_with_tda
223 gsl_matrix_const_submatrix
225 gsl_matrix_const_column
226 gsl_matrix_const_diagonal
227 gsl_matrix_const_subdiagonal
228 gsl_matrix_const_superdiagonal
229 gsl_matrix_const_subrow
230 gsl_matrix_const_subcolumn
231 gsl_matrix_const_view_array
232 gsl_matrix_const_view_array_with_tda
233 gsl_matrix_const_view_vector
234 gsl_matrix_const_view_vector_with_tda
240 gsl_matrix_set_identity
249 gsl_matrix_swap_columns
250 gsl_matrix_swap_rowcol
252 gsl_matrix_transpose_memcpy
257 gsl_matrix_minmax_index
263 gsl_matrix_mul_elements
264 gsl_matrix_div_elements
266 gsl_matrix_add_constant
267 gsl_matrix_add_diagonal
271 gsl_matrix_int_alloc_from_matrix
273 gsl_matrix_int_column
274 gsl_matrix_int_superdiagonal
275 gsl_matrix_int_view_array_with_tda
276 gsl_matrix_int_const_submatrix
277 gsl_matrix_int_const_diagonal
278 gsl_matrix_int_const_subrow
279 gsl_matrix_int_const_view_array_with_tda
282 gsl_matrix_int_set_zero
284 gsl_matrix_int_fscanf
285 gsl_matrix_int_memcpy
286 gsl_matrix_int_swap_rows
287 gsl_matrix_int_transpose
289 gsl_matrix_int_max_index
290 gsl_matrix_int_minmax_index
293 gsl_matrix_int_mul_elements
294 gsl_matrix_int_add_constant
297 gsl_matrix_complex_alloc
298 gsl_matrix_complex_calloc
299 gsl_matrix_complex_alloc_from_block
300 gsl_matrix_complex_alloc_from_matrix
301 gsl_vector_complex_alloc_row_from_matrix
302 gsl_vector_complex_alloc_col_from_matrix
303 gsl_matrix_complex_free
304 gsl_matrix_complex_submatrix
305 gsl_matrix_complex_row
306 gsl_matrix_complex_column
307 gsl_matrix_complex_diagonal
308 gsl_matrix_complex_subdiagonal
309 gsl_matrix_complex_superdiagonal
310 gsl_matrix_complex_subrow
311 gsl_matrix_complex_subcolumn
312 gsl_matrix_complex_view_array
313 gsl_matrix_complex_view_array_with_tda
314 gsl_matrix_complex_view_vector
315 gsl_matrix_complex_view_vector_with_tda
316 gsl_matrix_complex_const_submatrix
317 gsl_matrix_complex_const_row
318 gsl_matrix_complex_const_column
319 gsl_matrix_complex_const_diagonal
320 gsl_matrix_complex_const_subdiagonal
321 gsl_matrix_complex_const_superdiagonal
322 gsl_matrix_complex_const_subrow
323 gsl_matrix_complex_const_subcolumn
324 gsl_matrix_complex_const_view_array
325 gsl_matrix_complex_const_view_array_with_tda
326 gsl_matrix_complex_const_view_vector
327 gsl_matrix_complex_const_view_vector_with_tda
328 gsl_matrix_complex_get
329 gsl_matrix_complex_set
330 gsl_matrix_complex_ptr
331 gsl_matrix_complex_const_ptr
332 gsl_matrix_complex_set_zero gsl_matrix_complex_set_identity
333 gsl_matrix_complex_set_all
334 gsl_matrix_complex_fread
335 gsl_matrix_complex_fwrite
336 gsl_matrix_complex_fscanf
337 gsl_matrix_complex_fprintf
338 gsl_matrix_complex_memcpygsl_matrix_complex_swap
339 gsl_matrix_complex_swap_rows
340 gsl_matrix_complex_swap_columns
341 gsl_matrix_complex_swap_rowcol
342 gsl_matrix_complex_transpose
343 gsl_matrix_complex_transpose_memcpy
344 gsl_matrix_complex_isnull
345 gsl_matrix_complex_ispos
346 gsl_matrix_complex_isneg
347 gsl_matrix_complex_add
348 gsl_matrix_complex_sub
349 gsl_matrix_complex_mul_elements
350 gsl_matrix_complex_div_elements
351 gsl_matrix_complex_scale
352 gsl_matrix_complex_add_constant
353 gsl_matrix_complex_add_diagonal
354 gsl_matrix_complex_get_row
355 gsl_matrix_complex_get_col
356 gsl_matrix_complex_set_row
357 gsl_matrix_complex_set_col
362 Math
::GSL
::Matrix
- Mathematical functions concerning Matrices
366 use Math
::GSL
::Matrix qw
/:all
/;
367 my $matrix1
= Math
::GSL
::Matrix-
>new
(5,5); # OO interface
368 my $matrix2
= gsl_matrix_alloc
(5,5); # standard interface
371 =head1 Objected Oriented Interface to GSL Math
::GSL
::Matrix
373 =head2 Math
::GSL
::Matrix-
>new
()
375 Creates a new Matrix of the given size.
377 my $matrix
= Math
::GSL
::Matrix-
>new
(10,10);
382 my
($class
, $rows
, $cols
) = @_
;
385 if
( defined $rows
&& defined $cols &&
386 $rows
> 0 && $cols > 0 &&
387 (int $rows
== $rows
) && (int $cols == $cols)){
389 $matrix
= gsl_matrix_alloc
($rows
,$cols
);
391 croak
( __PACKAGE__.'
::new
($x
,$y
) - $x and $y must be positive integers'
);
393 gsl_matrix_set_zero
($matrix
);
394 $this-
>{_matrix
} = $matrix
;
395 ($this-
>{_rows
}, $this-
>{_cols
}) = ($rows
,$cols
);
400 Get the underlying GSL matrix object created by SWIG
, useful for using gsl_matrix_
* functions which do not have an OO counterpart.
402 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
403 my $gsl_matrix
= $matrix-
>raw
;
404 my $stuff
= gsl_matrix_get
($gsl_matrix
, 1, 2);
407 sub raw
{ (shift
)->{_matrix
} }
410 Returns the number of rows in the matrix.
412 my $rows
= $matrix-
>rows
;
415 sub rows
{ (shift
)->{_rows
} }
419 Returns the number of columns in the matrix.
421 my $cols
= $matrix-
>cols
;
424 sub cols
{ (shift
)->{_cols
} }
428 Get the contents of a Math
::GSL
::Matrix object as a Perl list.
430 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
432 my @matrix
= $matrix-
>as_list
;
442 for
($line
=0; $line
<$self-
>rows
; $line
++){
444 gsl_matrix_get
($self-
>raw
, $line
, $_
)
445 } (0 .. $self-
>cols-1
);
453 Returns a row matrix of the row you enter.
455 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
457 my $matrix_row
= $matrix-
>row
(0);
463 my
($self
, $row
) = @_
;
464 croak
(__PACKAGE__.'
::$matrix-
>row
($row
) - invalid $row value'
)
465 unless
(($row
< $self-
>rows
) and $row
>= 0);
467 my $rowmat
= Math
::GSL
::Matrix-
>new
(1,$self-
>cols
);
470 for my $n
(0 .. $self-
>cols-1
) {
471 push
(@got
, gsl_matrix_get
($self-
>raw
, $row
, $n
));
473 for my $n
(0 .. $self-
>cols-1
) {
474 gsl_matrix_set
($rowmat-
>raw
, 0, $n
, $got
[$n
]); }
481 Returns a col matrix of the column you enter.
483 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
485 my $matrix_col
= $matrix-
>col
(0);
491 my
($self
, $col
) = @_
;
492 croak
(__PACKAGE__.
"::\$matrix->col(\$col) - $col not a valid column")
493 unless
($col
< $self-
>cols and $col
>= 0);
495 my $colvec
= Math
::GSL
::Vector-
>new
($self-
>cols
);
496 my $colmat
= Math
::GSL
::Matrix-
>new
($self-
>rows
, 1);
499 for my $n
(0 .. $self-
>rows-1
) {
500 push
(@got
, gsl_matrix_get
($self-
>raw
, $n
, $col
));
502 for my $n
(0 .. $self-
>rows-1
) {
503 gsl_matrix_set
($colmat-
>raw
, $n
, 0, $got
[$n
]); }
510 Sets a the values of a row with the elements of an array.
512 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
513 $matrix-
>set_row
(0, [8, 6, 2]);
515 You can also set multiple rows at once with chained calls
:
516 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
517 $matrix-
>set_row
(0, [8, 6, 2])
518 ->set_row
(1, [2, 4, 1]);
524 my
($self
, $row
, $values
) = @_
;
525 my $length
= $#$values
;
526 die __PACKAGE__.'
::new
($x
, $values
) - $values must be a nonempty array reference' if $length
== -1;
527 die __PACKAGE__.'
::set_row
($x
, $values
) - $x must be a valid row number' if
($row
< 0 || $row
>= $self-
>rows
);
528 die __PACKAGE__.'
::set_row
($x
, $values
) - $values must contains the same number of elements as there is columns in the matrix' if
($length
!= $self-
>cols-1
);
529 map
{ gsl_matrix_set
($self-
>raw
, $row
, $_
, $values-
>[$_
]) } (0..$length
);
535 Sets a the values of a column with the elements of an array.
537 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
538 $matrix-
>set_col
(0, [8, 6, 2]);
540 You can also set multiple columns at once with chained calls
:
541 my $matrix
= Math
::GSL
::Matrix-
>new
(3,3);
542 $matrix-
>set_col
(0, [8, 6, 2])
543 ->set_col
(1, [2, 4, 1]);
549 my
($self
, $col
, $values
) = @_
;
550 my $length
= $#$values
;
551 die __PACKAGE__.'
::new
($x
, $values
) - $values must be a nonempty array reference' if $length
== -1;
552 die __PACKAGE__.'
::set_row
($x
, $values
) - $x must be a valid column number' if
($col
< 0 || $col
>= $self-
>cols
);
553 die __PACKAGE__.'
::set_row
($x
, $values
) - $values must contains the same number of elements as there is rowss in the matrix' if
($length
!= $self-
>rows-1
);
554 map
{ gsl_matrix_set
($self-
>raw
, $_
, $col
, $values-
>[$_
]) } (0..$length
);
560 Here is a list of all the functions included in this module
:
564 =item C
<gsl_matrix_alloc
($i
, $j
)> - Return a gsl_matrix of $i rows and $j columns
566 =item C
<gsl_matrix_calloc
($i
, $j
)> - Return a gsl_matrix of $i rows and $j columns and initialize all of the elements of the matrix to zero
568 =item C
<gsl_matrix_alloc_from_block
> -
570 =item C
<gsl_matrix_free
> -
572 =item C
<gsl_matrix_alloc_from_matrix
> -
574 =item C
<gsl_vector_alloc_row_from_matrix
> -
576 =item C
<gsl_vector_alloc_col_from_matrix
> -
578 =item C
<gsl_matrix_submatrix
($m
, $k1
, $k2
, $n1
, $n2
)> - Return a matrix view of the matrix $m. The upper-left element of the submatrix is the element
($k1
,$k2
) of the original matrix. The submatrix has $n1 rows and $n2 columns.
580 =item C
<gsl_matrix_row
($m
, $i
)> - Return a vector view of the $i-th row of the matrix $m
582 =item C
<gsl_matrix_column
($m
, $j
)> - Return a vector view of the $j-th column of the matrix $m
584 =item C
<gsl_matrix_diagonal
($m
)> - Return a vector view of the diagonal of the vector. The matrix doesn't have to be square.
586 =item C
<gsl_matrix_subdiagonal
($m
, $k
)> - Return a vector view of the $k-th subdiagonal of the matrix $m. The diagonal of the matrix corresponds to k
=0.
588 =item C
<gsl_matrix_superdiagonal
($m
, $k
)> - Return a vector view of the $k-th superdiagonal of the matrix $m. The matrix doesn't have to be square.
590 =item C
<gsl_matrix_subrow
($m
, $i
, $offset
, $n
)> - Return a vector view of the $i-th row of the matrix $m beginning at offset elements and containing n elements.
592 =item C
<gsl_matrix_subcolumn
($m
, $j
, $offset
, $n
)> - Return a vector view of the $j-th column of the matrix $m beginning at offset elements and containing n elements.
594 =item C
<gsl_matrix_view_array
($base
, $n1
, $n2
)> - This function returns a matrix view of the array reference $base. The matrix has $n1 rows and $n2 columns. The physical number of columns in memory is also given by $n2. Mathematically
, the
(i
,j
)-th element of the new matrix is given by
, m'
(i
,j
) = $base-
>[i
*$n2
+ j
] where the index i runs from
0 to $n1-1 and the index j runs from
0 to $n2-1. The new matrix is only a view of the array reference $base. When the view goes out of scope the original array reference $base will continue to exist. The original memory can only be deallocated by freeing the original array. Of course
, the original array should not be deallocated while the view is still in use.
596 =item C
<gsl_matrix_view_array_with_tda
($base
, $n1
, $n2
, $tda
)> - This function returns a matrix view of the array reference $base with a physical number of columns $tda which may differ from the corresponding dimension of the matrix. The matrix has $n1 rows and $n2 columns
, and the physical number of columns in memory is given by $tda. Mathematically
, the
(i
,j
)-th element of the new matrix is given by
, m'
(i
,j
) = $base-
>[i
*$tda
+ j
] where the index i runs from
0 to $n1-1 and the index j runs from
0 to $n2-1. The new matrix is only a view of the array reference $base. When the view goes out of scope the original array reference $base will continue to exist. The original memory can only be deallocated by freeing the original array. Of course
, the original array should not be deallocated while the view is still in use.
598 =item C
<gsl_matrix_view_vector
> -
600 =item C
<gsl_matrix_view_vector_with_tda
> -
602 =item C
<gsl_matrix_const_submatrix
> -
604 =item C
<gsl_matrix_get
($m
, $i
, $j
)> - Return the
(i
,j
)-th element of the matrix $m
606 =item C
<gsl_matrix_set
($m
, $i
, $j
, $x
)> - Set the value of the
(i
,j
)-th element of the matrix $m to $x
608 =item C
<gsl_matrix_ptr
> -
610 =item C
<gsl_matrix_const_ptr
> -
612 =item C
<gsl_matrix_set_zero
($m
)> - Set all the elements of the matrix $m to zero
614 =item C
<gsl_matrix_set_identity
($m
)> - Set the elements of the matrix $m to the corresponding elements of the identity matrix
616 =item C
<gsl_matrix_set_all
($m
, $x
)> - Set all the elements of the matrix $m to the value $x
618 =item C
<gsl_matrix_fread
($fh
, $m
)> - Read a file which has been written with gsl_matrix_fwrite from the stream $fh opened with the gsl_fopen function from the Math
::GSL module and stores the data inside the matrix $m
620 =item C
<gsl_matrix_fwrite
($fh
, $m
)> - Write the elements of the matrix $m in binary format to a stream $fh opened with the gsl_fopen function from the Math
::GSL module
622 =item C
<gsl_matrix_fscanf
($fh
, $m
)> - Read a file which has been written with gsl_matrix_fprintf from the stream $fh opened with the gsl_fopenfunction from the Math
::GSL module and stores the data inside the matrix $m
624 =item C
<gsl_matrix_fprintf
($fh
, $m
, $format
)> - Write the elements of the matrix $m in the format $format
(for example
"%f" is the format for double
) to a stream $fh opened with the gsl_fopen function from the Math
::GSL module
626 =item C
<gsl_matrix_memcpy
($dest
, $src
)> - Copy the elements of the matrix $src to the matrix $dest. The two matrices must have the same size.
628 =item C
<gsl_matrix_swap
($m1
, $m2
)> - Exchange the elements of the matrices $m1 and $m2 by copying. The two matrices must have the same size.
630 =item C
<gsl_matrix_swap_rows
($m
, $i
, $j
)> - Exchange the $i-th and $j-th row of the matrix $m. The function returns
0 if the operation suceeded
, 1 otherwise.
632 =item C
<gsl_matrix_swap_columns
($m
, $i
, $j
)> - Exchange the $i-th and $j-th column of the matrix $m. The function returns
0 if the operation suceeded
, 1 otherwise.
634 =item C
<gsl_matrix_swap_rowcol
($m
, $i
, $j
)> - Exchange the $i-th row and the $j-th column of the matrix $m. The matrix must be square. The function returns
0 if the operation suceeded
, 1 otherwise.
636 =item C
<gsl_matrix_transpose
($m
)> - This function replaces the matrix m by its transpose by copying the elements of the matrix in-place. The matrix must be square for this operation to be possible.
638 =item C
<gsl_matrix_transpose_memcpy
($dest
, $src
)> - Make the matrix $dest the transpose of the matrix $src. This function works for all matrices provided that the dimensions of the matrix dest match the transposed dimensions of the matrix src.
640 =item C
<gsl_matrix_max
($m
)> - Return the maximum value in the matrix $m
642 =item C
<gsl_matrix_min
($m
)> - Return the minimum value in the matrix $m
644 =item C
<gsl_matrix_minmax
($m
)> - Return two values
, the first is the minimum value of the Matrix $m and the second is the maximum of the same the same matrix.
646 =item C
<gsl_matrix_max_index
($m
)> - Return two values
, the first is the the i indice of the maximum value of the matrix $m and the second is the j indice of the same value.
648 =item C
<gsl_matrix_min_index
($m
)> - Return two values
, the first is the the i indice of the minimum value of the matrix $m and the second is the j indice of the same value.
650 =item C
<gsl_matrix_minmax_index
($m
)> - Return four values
, the first is the i indice of the minimum of the matrix $m
, the second is the j indice of the same value
, the third is the i indice of the maximum of the matrix $m and the fourth is the j indice of the same value
652 =item C
<gsl_matrix_isnull
($m
)> - Return
1 if all the elements of the matrix $m are zero
, 0 otherwise
654 =item C
<gsl_matrix_ispos
($m
)> - Return
1 if all the elements of the matrix $m are strictly positve
, 0 otherwise
656 =item C
<gsl_matrix_isneg
($m
)> - Return
1 if all the elements of the matrix $m are strictly negative
, 0 otherwise
658 =item C
<gsl_matrix_isnonneg
($m
)> - Return
1 if all the elements of the matrix $m are non-negatuive
, 0 otherwise
660 =item C
<gsl_matrix_add
($a
, $b
)> - Add the elements of matrix $b to the elements of matrix $a
662 =item C
<gsl_matrix_sub
($a
, $b
)> - Subtract the elements of matrix $b from the elements of matrix $a
664 =item C
<gsl_matrix_mul_elements
($a
, $b
)> - Multiplie the elements of matrix $a by the elements of matrix $b
666 =item C
<gsl_matrix_div_elements
($a
, $b
)> - Divide the elements of matrix $a by the elements of matrix $b
668 =item C
<gsl_matrix_scale
($a
, $x
)> - Multiplie the elements of matrix $a by the constant factor $x
670 =item C
<gsl_matrix_add_constant
($a
, $x
)> - Add the constant value $x to the elements of the matrix $a
672 =item C
<gsl_matrix_add_diagonal
($a
, $x
)> - Add the constant value $x to the elements of the diagonal of the matrix $a
674 =item C
<gsl_matrix_get_row
($v
, $m
, $i
)> - Copy the elements of the $i-th row of the matrix $m into the vector $v. The lenght of the vector must be of the same as the lenght of the row. The function returns
0 if it succeded
, 1 otherwise.
676 =item C
<gsl_matrix_get_col
($v
, $m
, $i
)> - Copy the elements of the $j-th column of the matrix $m into the vector $v. The lenght of the vector must be of the same as the lenght of the column. The function returns
0 if it succeded
, 1 otherwise.
678 =item C
<gsl_matrix_set_row
($m
, $i
, $v
)> - Copy the elements of vector $v into the $i-th row of the matrix $m The lenght of the vector must be of the same as the lenght of the row. The function returns
0 if it succeded
, 1 otherwise.
680 =item C
<gsl_matrix_set_col
($m
, $j
, $v
)> - Copy the elements of vector $v into the $j-th row of the matrix $m The lenght of the vector must be of the same as the lenght of the column. The function returns
0 if it succeded
, 1 otherwise.
684 The following functions are specific to matrices containing complex numbers
:
688 =item C
<gsl_matrix_complex_alloc
>
690 =item C
<gsl_matrix_complex_calloc
>
692 =item C
<gsl_matrix_complex_alloc_from_block
>
694 =item C
<gsl_matrix_complex_alloc_from_matrix
>
696 =item C
<gsl_vector_complex_alloc_row_from_matrix
>
698 =item C
<gsl_vector_complex_alloc_col_from_matrix
>
700 =item C
<gsl_matrix_complex_free
>
702 =item C
<gsl_matrix_complex_submatrix
>
704 =item C
<gsl_matrix_complex_row
>
706 =item C
<gsl_matrix_complex_column
>
708 =item C
<gsl_matrix_complex_diagonal
>
710 =item C
<gsl_matrix_complex_subdiagonal
>
712 =item C
<gsl_matrix_complex_superdiagonal
>
714 =item C
<gsl_matrix_complex_subrow
>
716 =item C
<gsl_matrix_complex_subcolumn
>
718 =item C
<gsl_matrix_complex_view_array
>
720 =item C
<gsl_matrix_complex_view_array_with_tda
>
722 =item C
<gsl_matrix_complex_view_vector
>
724 =item C
<gsl_matrix_complex_view_vector_with_tda
>
726 =item C
<gsl_matrix_complex_const_submatrix
>
728 =item C
<gsl_matrix_complex_const_row
>
730 =item C
<gsl_matrix_complex_const_column
>
732 =item C
<gsl_matrix_complex_const_diagonal
>
734 =item C
<gsl_matrix_complex_const_subdiagonal
>
736 =item C
<gsl_matrix_complex_const_superdiagonal
>
738 =item C
<gsl_matrix_complex_const_subrow
>
740 =item C
<gsl_matrix_complex_const_subcolumn
>
742 =item C
<gsl_matrix_complex_const_view_array
>
744 =item C
<gsl_matrix_complex_const_view_array_with_tda
>
746 =item C
<gsl_matrix_complex_const_view_vector
>
748 =item C
<gsl_matrix_complex_const_view_vector_with_tda
>
750 =item C
<gsl_matrix_complex_get
>
752 =item C
<gsl_matrix_complex_set
>
754 =item C
<gsl_matrix_complex_ptr
>
756 =item C
<gsl_matrix_complex_const_ptr
>
758 =item C
<gsl_matrix_complex_set_zero
>
760 =item C
<gsl_matrix_complex_set_identity
>
762 =item C
<gsl_matrix_complex_set_all
>
764 =item C
<gsl_matrix_complex_fread
>
766 =item C
<gsl_matrix_complex_fwrite
>
768 =item C
<gsl_matrix_complex_fscanf
>
770 =item C
<gsl_matrix_complex_fprintf
>
772 =item C
<gsl_matrix_complex_memcpy
>
774 =item C
<gsl_matrix_complex_swap
>
776 =item C
<gsl_matrix_complex_swap_rows
>
778 =item C
<gsl_matrix_complex_swap_columns
>
780 =item C
<gsl_matrix_complex_swap_rowcol
>
782 =item C
<gsl_matrix_complex_transpose
>
784 =item C
<gsl_matrix_complex_transpose_memcpy
>
786 =item C
<gsl_matrix_complex_isnull
>
788 =item C
<gsl_matrix_complex_ispos
>
790 =item C
<gsl_matrix_complex_isneg
>
792 =item C
<gsl_matrix_complex_add
>
794 =item C
<gsl_matrix_complex_sub
>
796 =item C
<gsl_matrix_complex_mul_elements
>
798 =item C
<gsl_matrix_complex_div_elements
>
800 =item C
<gsl_matrix_complex_scale
>
802 =item C
<gsl_matrix_complex_add_constant
>
804 =item C
<gsl_matrix_complex_add_diagonal
>
806 =item C
<gsl_matrix_complex_get_row
>
808 =item C
<gsl_matrix_complex_get_col
>
810 =item C
<gsl_matrix_complex_set_row
>
812 =item C
<gsl_matrix_complex_set_col
>
816 These are related to constant views of a matrix.
821 =item C
<gsl_matrix_const_row
>
823 =item C
<gsl_matrix_const_colum
>
825 =item C
<gsl_matrix_const_diagonal
>
827 =item C
<gsl_matrix_const_subdiagonal
>
829 =item C
<gsl_matrix_const_superdiagonal
>
831 =item C
<gsl_matrix_const_subrow
>
833 =item C
<gsl_matrix_const_subcolumn
>
835 =item C
<gsl_matrix_const_view_array
>
837 =item C
<gsl_matrix_const_view_array_with_tda
>
842 The following functions are similar to those above but work with C
<char
>'s and C
<int
>'s. We are not quite
843 sure if anyone wants these. Please speak up if you do and
/or submit some patches to this documentation
, please
!
848 =item gsl_matrix_const_view_vector
850 =item gsl_matrix_const_view_vector_with_tda
852 =item gsl_matrix_char_alloc
854 =item gsl_matrix_char_calloc
856 =item gsl_matrix_char_alloc_from_block
858 =item gsl_matrix_char_alloc_from_matrix
860 =item gsl_vector_char_alloc_row_from_matrix
862 =item gsl_vector_char_alloc_col_from_matrix
864 =item gsl_matrix_char_free
866 =item gsl_matrix_char_submatrix
868 =item gsl_matrix_char_row
870 =item gsl_matrix_char_column
872 =item gsl_matrix_char_diagonal
874 =item gsl_matrix_char_subdiagonal
876 =item gsl_matrix_char_superdiagonal
878 =item gsl_matrix_char_subrow
880 =item gsl_matrix_char_subcolumn
882 =item gsl_matrix_char_view_array
884 =item gsl_matrix_char_view_array_with_tda
886 =item gsl_matrix_char_view_vector
888 =item gsl_matrix_char_view_vector_with_tda
890 =item gsl_matrix_char_const_submatrix
892 =item gsl_matrix_char_const_row
894 =item gsl_matrix_char_const_column
896 =item gsl_matrix_char_const_diagonal
898 =item gsl_matrix_char_const_subdiagonal
900 =item gsl_matrix_char_const_superdiagonal
902 =item gsl_matrix_char_const_subrow
904 =item gsl_matrix_char_const_subcolumn
906 =item gsl_matrix_char_const_view_array
908 =item gsl_matrix_char_const_view_array_with_tda
910 =item gsl_matrix_char_const_view_vector
912 =item gsl_matrix_char_const_view_vector_with_tda
914 =item gsl_matrix_char_get
916 =item gsl_matrix_char_set
918 =item gsl_matrix_char_ptr
920 =item gsl_matrix_char_const_ptr
922 =item gsl_matrix_char_set_zero
924 =item gsl_matrix_char_set_identity
926 =item gsl_matrix_char_set_all
928 =item gsl_matrix_char_fread
930 =item gsl_matrix_char_fwrite
932 =item gsl_matrix_char_fscanf
934 =item gsl_matrix_char_fprintf
936 =item gsl_matrix_char_memcpy
938 =item gsl_matrix_char_swap
940 =item gsl_matrix_char_swap_rows
942 =item gsl_matrix_char_swap_columns
944 =item gsl_matrix_char_swap_rowcol
946 =item gsl_matrix_char_transpose
948 =item gsl_matrix_char_transpose_memcpy
950 =item gsl_matrix_char_max
952 =item gsl_matrix_char_min
954 =item gsl_matrix_char_minmax
956 =item gsl_matrix_char_max_index
958 =item gsl_matrix_char_min_index
960 =item gsl_matrix_char_minmax_index
962 =item gsl_matrix_char_isnull
964 =item gsl_matrix_char_ispos
966 =item gsl_matrix_char_isneg
968 =item gsl_matrix_char_isnonneg
970 =item gsl_matrix_char_add
972 =item gsl_matrix_char_sub
974 =item gsl_matrix_char_mul_elements
976 =item gsl_matrix_char_div_elements
978 =item gsl_matrix_char_scale
980 =item gsl_matrix_char_add_constant
982 =item gsl_matrix_char_add_diagonal
984 =item gsl_matrix_int_alloc
986 =item gsl_matrix_int_calloc
988 =item gsl_matrix_int_alloc_from_block
990 =item gsl_matrix_int_alloc_from_matrix
992 =item gsl_vector_int_alloc_row_from_matrix
994 =item gsl_vector_int_alloc_col_from_matrix
996 =item gsl_matrix_int_free
998 =item gsl_matrix_int_submatrix
1000 =item gsl_matrix_int_row
1002 =item gsl_matrix_int_column
1004 =item gsl_matrix_int_diagonal
1006 =item gsl_matrix_int_subdiagonal
1008 =item gsl_matrix_int_superdiagonal
1010 =item gsl_matrix_int_subrow
1012 =item gsl_matrix_int_subcolumn
1014 =item gsl_matrix_int_view_array
1016 =item gsl_matrix_int_view_array_with_tda
1018 =item gsl_matrix_int_view_vector
1020 =item gsl_matrix_int_view_vector_with_tda
1022 =item gsl_matrix_int_const_submatrix
1024 =item gsl_matrix_int_const_row
1026 =item gsl_matrix_int_const_column
1028 =item gsl_matrix_int_ptr
1030 =item gsl_matrix_int_const_ptr
1032 =item gsl_matrix_int_set_zero
1034 =item gsl_matrix_int_set_identity
1036 =item gsl_matrix_int_set_all
1038 =item gsl_matrix_int_fread
1040 =item gsl_matrix_int_fwrite
1042 =item gsl_matrix_int_fscanf
1044 =item gsl_matrix_int_fprintf
1046 =item gsl_matrix_int_memcpy
1048 =item gsl_matrix_int_swap
1050 =item gsl_matrix_int_swap_rows
1052 =item gsl_matrix_int_swap_columns
1054 =item gsl_matrix_int_swap_rowcol
1056 =item gsl_matrix_int_transpose
1058 =item gsl_matrix_int_transpose_memcpy
1060 =item gsl_matrix_int_max
1062 =item gsl_matrix_int_min
1064 =item gsl_matrix_int_minmax
1066 =item gsl_matrix_int_max_index
1068 =item gsl_matrix_int_min_index
1070 =item gsl_matrix_int_minmax_index
1072 =item gsl_matrix_int_isnull
1074 =item gsl_matrix_int_ispos
1076 =item gsl_matrix_int_isneg
1078 =item gsl_matrix_int_isnonneg
1080 =item gsl_matrix_int_add
1082 =item gsl_matrix_int_sub
1084 =item gsl_matrix_int_mul_elements
1086 =item gsl_matrix_int_div_elements
1088 =item gsl_matrix_int_scale
1090 =item gsl_matrix_int_add_constant
1092 =item gsl_matrix_int_add_diagonal
1096 You have to add the functions you want to use inside the qw
/put_funtion_here
/.
1097 You can also write use Math
::GSL
::Matrix qw
/:all
/ to use all avaible functions of the module.
1098 Other tags are also avaible
, here is a complete list of all tags for this module
:
1114 For more informations on the functions
, we refer you to the GSL offcial documentation
1115 L
<http
://www.gnu.org
/software
/gsl
/manual
/html_node
/>
1117 Tip
: search on google
: site
:http
://www.gnu.org
/software
/gsl
/manual
/html_node
/name_of_the_function_you_want
1121 Most of the examples from this section are perl versions of the examples at L
<http
://www.gnu.org
/software
/gsl
/manual
/html_node
/Example-programs-for-matrices.html
>
1123 The program below shows how to allocate
, initialize and read from a matrix using the functions gsl_matrix_alloc
, gsl_matrix_set and gsl_matrix_get.
1125 use Math
::GSL
::Matrix qw
/:all
/;
1126 my $m
= gsl_matrix_alloc
(10,3);
1129 gsl_matrix_set
($m
, $i
, $j
, 0.23 + 100*$i
+ $j
);
1133 for my $i
(0.
.99){ # OUT
OF RANGE
ERROR
1135 print
"m($i, $j) = " . gsl_matrix_get
($m
, $i
, $j
) .
"\n";
1138 gsl_matrix_free
($m
);
1141 use Math
::GSL
::Matrix qw
/:all
/;
1143 my $m
= gsl_matrix_alloc
(100, 100);
1144 my $a
= gsl_matrix_alloc
(100, 100);
1148 gsl_matrix_set
($m
, $i
, $j
, 0.23 + $i
+ $j
);
1152 The next program shows how to write a matrix to a file.
1154 my $out
= gsl_fopen
("test.dat", "wb");
1155 gsl_matrix_fwrite
($out
, $m
);
1158 my $in
= gsl_fopen
("test.dat", "rb");
1159 gsl_matrix_fread
($in
, $a
);
1165 $mij
= gsl_matrix_get
($m
, $i
, $j
);
1166 $aij
= gsl_matrix_get
($a
, $i
, $j
);
1167 $k
++ if
($mij
!= $aij
);
1171 gsl_matrix_free
($m
);
1172 gsl_matrix_free
($a
);
1174 print
"differences = $k (should be zero)\n";
1178 Jonathan Leto
<jonathan@leto.net
> and Thierry Moisan
<thierry.moisan@gmail.com
>
1180 =head1 COPYRIGHT
AND LICENSE
1182 Copyright
(C
) 2008 Jonathan Leto and Thierry Moisan
1184 This program is free software
; you can redistribute it and
/or modify it
1185 under the same terms as Perl itself.