File: VectorComplex.pod

package info (click to toggle)
libmath-gsl-perl 0.45-2
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid, trixie
  • size: 192,156 kB
  • sloc: ansic: 895,524; perl: 24,682; makefile: 12
file content (344 lines) | stat: -rw-r--r-- 9,614 bytes parent folder | download
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
%perlcode %{
use Scalar::Util 'blessed';
use Data::Dumper;
use Carp qw/croak/;
use Math::GSL::Errno qw/:all/;
use Math::GSL::BLAS qw/gsl_blas_ddot/;
use Math::GSL::Complex qw/:all/;
use Math::GSL::Test qw/is_status_ok/;
use Math::Complex;
use overload
    '*'      => \&_multiplication,
    '+'      => \&_addition,
    '-'      => \&_subtract,
    fallback => 1,
;

@EXPORT_all  = qw/
                 gsl_vector_complex_alloc gsl_vector_complex_calloc gsl_vector_complex_alloc_from_block gsl_vector_complex_alloc_from_vector
                 gsl_vector_complex_free gsl_vector_complex_view_array gsl_vector_complex_view_array_with_stride gsl_vector_complex_const_view_array
                 gsl_vector_complex_const_view_array_with_stride gsl_vector_complex_subvector gsl_vector_complex_subvector_with_stride
                 gsl_vector_complex_const_subvector gsl_vector_complex_const_subvector_with_stride gsl_vector_complex_real gsl_vector_complex_imag
                 gsl_vector_complex_const_real gsl_vector_complex_const_imag gsl_vector_complex_get gsl_vector_complex_set
                 gsl_vector_complex_ptr gsl_vector_complex_const_ptr gsl_vector_complex_set_zero gsl_vector_complex_set_all
                 gsl_vector_complex_set_basis gsl_vector_complex_fread gsl_vector_complex_fwrite gsl_vector_complex_fscanf
                 gsl_vector_complex_fprintf gsl_vector_complex_memcpy gsl_vector_complex_reverse gsl_vector_complex_swap
                 gsl_vector_complex_swap_elements gsl_vector_complex_isnull gsl_vector_complex_ispos gsl_vector_complex_isneg
/;
@EXPORT_OK = (@EXPORT_all);
%EXPORT_TAGS = ( all => \@EXPORT_all );

=encoding utf8

=head1 NAME

Math::GSL::VectorComplex - Complex Vectors

=head1 SYNOPSIS

    use Math::GSL::VectorComplex qw/:all/;
    my $vec1 = Math::GSL::VectorComplex->new([1 + 2*i, 7*i, 5, -3 ]);
    my $vec2 = $vec1 * 5;
    my $vec3 = Math::GSL::Vector>new(10);   # 10 element zero vector
    my $vec4 = $vec1 + $vec2;

    # set the element at index 1 to -i
    # and the element at index 3 to i
    $vec3->set([ 1, -i ], [ 9, i ]);

    my @vec = $vec2->as_list;               # return elements as Perl list

    my $dot_product = $vec1 * $vec2;
    my $length      = $vec2->length;
    my $first       = $vec1->get(0);


=cut

=head1 Objected Oriented Interface to GSL Math::GSL::VectorComplex

=head2 new()

Creates a new Vector of the given size.

    my $vector = Math::GSL::VectorComplex->new(3);

You can also create and set directly the values of the vector like this :

   my $vector = Math::GSL::VectorComplex->new([2,4,1]);

=cut

sub new {
    my ($class, $values) = @_;
    my $length  = $#$values;
    my $this = {};
    my $vector;

    # we expect $values to have Math::Complex objects
    @$values = map { gsl_complex_rect(Re($_), Im($_)) } @$values;

    if ( ref $values eq 'ARRAY' ){
        die __PACKAGE__.'::new($x) - $x must be a nonempty array reference' if $length == -1;
        $vector  = gsl_vector_complex_alloc($length+1);
        map { gsl_vector_complex_set($vector, $_, $values->[$_] ) }  (0 .. $length);
        $this->{_length} = $length+1;
    } elsif ( (int($values) == $values) && ($values > 0)) {
        $vector  = gsl_vector_complex_alloc($values);
        gsl_vector_complex_set_zero($vector);
        $this->{_length} = $values;
    } else {
        die __PACKAGE__.'::new($x) - $x must be an int or array reference';
    }
    $this->{_vector} = $vector;
    bless $this, $class;
}


=head2 raw()

Get the underlying GSL vector object created by SWIG, useful for using gsl_vector_* functions which do not have an OO counterpart.

    my $vector    = Math::GSL::VectorComplex->new(3);
    my $gsl_vector = $vector->raw;
    my $stuff      = gsl_vector_get($gsl_vector, 1);

=cut

sub raw {
    my $self = shift;
    return $self->{_vector};
}

=head2 min()

Returns the minimum value contained in the vector.

   my $vector = Math::GSL::VectorComplex->new([2,4,1]);
   my $minimum = $vector->min;

=cut

sub min {
    my $self=shift;
    return gsl_vector_min($self->raw);
}

=head2 max()

Returns the minimum value contained in the vector.

   my $vector = Math::GSL::VectorComplex->new([2,4,1]);
   my $maximum = $vector->max;

=cut

sub max {
    my $self=shift;
    return gsl_vector_max($self->raw);
}

=head2 length()

Returns the number of elements contained in the vector.

   my $vector = Math::GSL::VectorComplex->new([2,4,1]);
   my $length = $vector->length;

=cut

sub length { my $self=shift; $self->{_length} }

=head2  as_list()

Gets the content of a Math::GSL::Vector object as a Perl list.

    my $vector = Math::GSL::VectorComplex->new(3);
    ...
    my @values = $vector->as_list;
=cut

sub as_list {
    my $self=shift;
    # this is wrong
    return map { cplxe( gsl_complex_abs($_), gsl_complex_arg($_) ) } $self->get( [ 0 .. $self->length - 1  ] );
}

=head2  get()

Gets the value of an of a Math::GSL::Vector object.

    my $vector = Math::GSL::VectorComplex->new(3);
    ...
    my @values = $vector->get(2);

You can also enter an array of indices to receive their corresponding values:

    my $vector = Math::GSL::VectorComplex->new(3);
    ...
    my @values = $vector->get([0,2]);

=cut

sub get {
    my ($self, $indices) = @_;
    return  map {  gsl_vector_complex_get($self->raw, $_ ) } @$indices ;
}

=head2 reverse()

Returns the a vector with the elements in reversed order.

    use Math::Complex;
    my $v1 = Math::GSL::VectorComplex->new([ 1, 2, 3*i]);
    my $v2 = $v1->reverse;

=cut

sub reverse {
    my $self = shift;
    my $copy = $self->copy();
    unless ( is_status_ok( gsl_vector_complex_reverse( $copy->raw )) ) {
        die( __PACKAGE__.": error reversing vector " . gsl_strerror($status) );
    }
    return $copy;
}

=head2  set()

Sets values of an of a Math::GSL::Vector object.

    my $vector = Math::GSL::VectorComplex->new(3);
    $vector->set([1,2], [8,23]);

This sets the second and third value to 8 and 23.

=cut

sub set {
    my ($self, $indices, $values) = @_;
    die (__PACKAGE__.'::set($indices, $values) - $indices and $values must be array references of the same length')
        unless ( ref $indices eq 'ARRAY' && ref $values eq 'ARRAY' &&  $#$indices == $#$values );
    eval {
        map {  gsl_vector_complex_set($self->{_vector}, $indices->[$_], $values->[$_] ) } (0..$#$indices);
    };
    # better error handling?
    warn $@ if $@;
    return;
}

=head2 copy()

Returns a copy of the vector, which has the same length and values but resides at a different location in memory.

    my $vector = Math::GSL::VectorComplex->new([10 .. 20]);
    my $copy   = $vector->copy;

=cut

sub copy {
    my $self = shift;
    my $copy = Math::GSL::VectorComplex->new( $self->length );
    my $status = gsl_vector_complex_memcpy($copy->raw, $self->raw);
    if ( $status != $GSL_SUCCESS ) {
        croak "Math::GSL - error copying memory, aborting. $! status=$status";
    }
    return $copy;
}

=head2 swap()

Exchanges the values in the vectors $v with $w by copying.

    my $v = Math::GSL::VectorComplex->new([1..5]);
    my $w = Math::GSL::VectorComplex->new([3..7]);
    $v->swap( $w );

=cut

sub swap() {
    my ($self,$other) = @_;
    croak "Math::GSL::VectorComplex : \$v->swap(\$w) - \$w must be a Math::GSL::VectorComplex"
        unless ref $other eq 'Math::GSL::VectorComplex';
    gsl_vector_complex_swap( $self->raw, $other->raw );
    return $self;
}

sub _multiplication {
    my ($left,$right) = @_;
    my $lcopy = $left->copy;

    if ( blessed $right && $right->isa(__PACKAGE__) ) {
        return $lcopy->dot_product($right);
    } else {
        # will be in upcoming gsl 1.12
        # gsl_vector_complex_scale($lcopy->raw, $right);
    }
    return $lcopy;
}

sub _subtract {
    my ($left, $right, $flip) = @_;

    if ($flip) {
        my $lcopy = $left->copy;
        # will be in upcoming gsl 1.12
        # gsl_vector_complex_scale($lcopy->raw, -1 );
        gsl_vector_add_constant($lcopy->raw, $right);
        return $lcopy;
    } else {
        return _addition($left, -1.0*$right);
    }
}

sub _addition {
    my ($left, $right, $flip) = @_;
    my $lcopy = $left->copy;

    if ( blessed $right && $right->isa('Math::GSL::Vector') && blessed $left && $left->isa('Math::GSL::Vector') ) {
        if ( $left->length == $right->length ) {
            gsl_vector_complex_add($lcopy->raw, $right->raw);
        } else {
            croak "Math::GSL - addition of vectors must be called with two objects vectors and must have the same length";
        }
    } else {
        gsl_vector_complex_add_constant($lcopy->raw, $right);
    }
    return $lcopy;
}

sub dot_product_pp {
    my ($left,$right) = @_;
    my $sum=0;
    if ( blessed $right && $right->isa('Math::GSL::Vector') && $left->length == $right->length ) {
         my @l = $left->as_list;
         my @r = $right->as_list;
         map { $sum += $l[$_] * $r[$_] } (0..$#l);
        return $sum;
    } else {
        croak "dot_product() must be called with two vectors";
    }
}

sub dot_product {
    my ($left,$right) = @_;

    my ($status, $product) = gsl_blas_ddot($left->raw,$right->raw);
    croak sprintf "Math::GSL::dot_product - %s", gsl_strerror($status) if ($status != $GSL_SUCCESS);
    return $product;
}

=head1 AUTHORS

Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>

=head1 COPYRIGHT AND LICENSE

Copyright (C) 2008-2024 Jonathan "Duke" Leto and Thierry Moisan

This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.

=cut

%}