Complex.i

   1 %module "Math::GSL::Complex"
   2 %{
   3     #include "gsl/gsl_complex.h"
   4     #include "gsl/gsl_complex_math.h"
   5 %}
   6
   7 %include "gsl/gsl_complex.h"
   8 %include "gsl/gsl_complex_math.h"
   9
  10
  11 %include "carrays.i"
  12 %array_functions(double, doubleArray);
  13
  14 %perlcode %{
  15
  16 @EXPORT_OK = qw(
  17     gsl_complex_arg gsl_complex_abs gsl_complex_rect gsl_complex_polar doubleArray_getitem
  18     gsl_complex_rect gsl_complex_polar gsl_complex_arg gsl_complex_abs gsl_complex_abs2
  19     gsl_complex_logabs gsl_complex_add gsl_complex_sub gsl_complex_mul gsl_complex_div
  20     gsl_complex_add_real gsl_complex_sub_real gsl_complex_mul_real gsl_complex_div_real
  21     gsl_complex_add_imag gsl_complex_sub_imag gsl_complex_mul_imag gsl_complex_div_imag
  22     gsl_complex_conjugate gsl_complex_inverse gsl_complex_negative gsl_complex_sqrt
  23     gsl_complex_sqrt_real gsl_complex_pow gsl_complex_pow_real gsl_complex_exp
  24     gsl_complex_log gsl_complex_log10 gsl_complex_log_b gsl_complex_sin
  25     gsl_complex_cos gsl_complex_sec gsl_complex_csc gsl_complex_tan
  26     gsl_complex_cot gsl_complex_arcsin gsl_complex_arcsin_real gsl_complex_arccos
  27     gsl_complex_arccos_real gsl_complex_arcsec gsl_complex_arcsec_real gsl_complex_arccsc
  28     gsl_complex_arccsc_real gsl_complex_arctan gsl_complex_arccot gsl_complex_sinh
  29     gsl_complex_cosh gsl_complex_sech gsl_complex_csch gsl_complex_tanh
  30     gsl_complex_coth gsl_complex_arcsinh gsl_complex_arccosh gsl_complex_arccosh_real
  31     gsl_complex_arcsech gsl_complex_arccsch gsl_complex_arctanh gsl_complex_arctanh_real
  32     gsl_complex_arccoth new_doubleArray delete_doubleArray doubleArray_setitem
  33     gsl_real gsl_imag gsl_parts
  34     gsl_complex_eq gsl_set_real gsl_set_imag gsl_set_complex
  35     $GSL_COMPLEX_ONE $GSL_COMPLEX_ZERO $GSL_COMPLEX_NEGONE
  36 );
  37 # macros to implement
  38 # gsl_set_complex gsl_set_complex_packed
  39 our ($GSL_COMPLEX_ONE, $GSL_COMPLEX_ZERO, $GSL_COMPLEX_NEGONE) = map { gsl_complex_rect($_, 0) } qw(1 0 -1);
  40
  41
  42 %EXPORT_TAGS = ( all => [ @EXPORT_OK ] );
  43
  44 ### wrapper interface ###
  45 sub new {
  46     my ($class, @values) = @_;
  47     my $this = {};
  48     $this->{_complex} = gsl_complex_rect($values[0], $values[1]);
  49     bless $this, $class;
  50 }
  51 sub real {
  52     my ($self) = @_;
  53     gsl_real($self->{_complex}->{dat});
  54 }
  55
  56 sub imag {
  57     my ($self) = @_;
  58     gsl_imag($self->{_complex}->{dat});
  59 }
  60
  61 sub parts {
  62     my ($self) = @_;
  63     gsl_parts($self->{_complex}->{dat});
  64 }
  65
  66 ### end wrapper interface ###
  67
  68 ### some important macros that are in gsl_complex.h
  69 sub gsl_complex_eq {
  70     my ($z,$w) = @_;
  71     gsl_real($z) == gsl_real($w) && gsl_imag($z) == gsl_imag($w) ? 1 : 0;
  72 }
  73
  74 sub gsl_set_real {
  75     my ($z,$r) = @_;
  76     doubleArray_setitem($z->{dat}, 0, $r);
  77 }
  78
  79 sub gsl_set_imag {
  80     my ($z,$i) = @_;
  81     doubleArray_setitem($z->{dat}, 1, $i);
  82 }
  83
  84 sub gsl_real {
  85     my $z = shift;
  86     return doubleArray_getitem($z->{dat}, 0 );
  87 }
  88
  89 sub gsl_imag {
  90     my $z = shift;
  91     return doubleArray_getitem($z->{dat}, 1 );
  92 }
  93
  94 sub gsl_parts {
  95     my $z = shift;
  96     return (gsl_real($z), gsl_imag($z));
  97 }
  98
  99 sub gsl_set_complex {
 100     my ($z, $r, $i) = @_;
 101     gsl_set_real($z, $r);
 102     gsl_set_imag($z, $i);
 103 }
 104
 105 __END__
 106
 107 =head1 NAME
 108
 109 Math::GSL::Complex
 110 Functions concerning complex numbers.
 111
 112 =head1 SYNOPSIS
 113
 114 use Math::GSL::Complex qw/:all/;
 115
 116 =head1 DESCRIPTION
 117
 118 Here is a list of all the functions included in this module :
 119
 120 =over 1
 121
 122 =item C<gsl_complex_arg($z)> - return the argument of the complex number $z
 123
 124 =item C<gsl_complex_abs($z)> - return |$z|, the magnitude of the complex number $z
 125
 126 =item C<gsl_complex_rect($x,$y)> - create a complex number in cartesian form $x + $y*I
 127
 128 =item C<gsl_complex_polar($r,$theta)> - create a complex number in polar form $r*exp(I*$theta)
 129
 130 =item C<gsl_complex_abs2($z)> - return |$z|^2, the squared magnitude of the complex number $z
 131
 132 =item C<gsl_complex_logabs($z)> - return log(|$z|), the natural logarithm of the magnitude of the complex number $z
 133
 134 =item C<gsl_complex_add($c1, $c2)> - return a complex number which is the sum of the complex numbers $c1 and $c2
 135
 136 =item C<gsl_complex_sub($c1, $c2)> - return a complex number which is the difference between $c1 and $c2 ($c1 - $c2)
 137
 138 =item C<gsl_complex_mul($c1, $c2)> - return a complex number which is the product of the complex numbers $c1 and $c2
 139
 140 =item C<gsl_complex_div($c1, $c2)> - return a complex number which is the quotient of the complex numbers $c1 and $c2 ($c1 / $c2)
 141
 142 =item C<gsl_complex_add_real($c, $x)> - return the sum of the complex number $c and the real number $x
 143
 144 =item C<gsl_complex_sub_real($c, $x)> - return the difference of the complex number $c and the real number $x
 145
 146 =item C<gsl_complex_mul_real($c, $x)> - return the product of the complex number $c and the real number $x
 147
 148 =item C<gsl_complex_div_real($c, $x)> - return the quotient of the complex number $c and the real number $x
 149
 150 =item C<gsl_complex_add_imag($c, $y)> - return sum of the complex number $c and the imaginary number i*$x
 151
 152 =item C<gsl_complex_sub_imag($c, $y)> - return the diffrence of the complex number $c and the imaginary number i*$x
 153
 154 =item C<gsl_complex_mul_imag($c, $y)> - return the product of the complex number $c and the imaginary number i*$x
 155
 156 =item C<gsl_complex_div_imag($c, $y)> - return the quotient of the complex number $c and the imaginary number i*$x
 157
 158 =item C<gsl_complex_conjugate($c)> - return the conjugate of the of the complex number $c (x - i*y)
 159
 160 =item C<gsl_complex_inverse($c)> - return the inverse, or reciprocal of the complex number $c (1/$c)
 161
 162 =item C<gsl_complex_negative($c)> - return the negative of the complex number $c (-x -i*y)
 163
 164 =item C<gsl_complex_sqrt($c)> - return the square root of the complex number $c
 165
 166 =item C<gsl_complex_sqrt_real($x)> - return the complex square root of the real number $x, where $x may be negative
 167
 168 =item C<gsl_complex_pow($c1, $c2)> - return the complex number $c1 raised to the complex power $c2
 169
 170 =item C<gsl_complex_pow_real($c, $x)> - return the complex number raised to the real power $x
 171
 172 =item C<gsl_complex_exp($c)> - return the complex exponential of the complex number $c
 173
 174 =item C<gsl_complex_log($c)> - return the complex natural logarithm (base e) of the complex number $c
 175
 176 =item C<gsl_complex_log10($c)> - return the complex base-10 logarithm of the complex number $c
 177
 178 =item C<gsl_complex_log_b($c, $b)> - return the complex base-$b of the complex number $c
 179
 180 =item C<gsl_complex_sin($c)> - return the complex sine of the complex number $c
 181
 182 =item C<gsl_complex_cos($c)> - return the complex cosine of the complex number $c
 183
 184 =item C<gsl_complex_sec($c)> - return the complex secant of the complex number $c
 185
 186 =item C<gsl_complex_csc($c)> - return the complex cosecant of the complex number $c
 187
 188 =item C<gsl_complex_tan($c)> - return the complex tangent of the complex number $c
 189
 190 =item C<gsl_complex_cot($c)> - return the complex cotangent of the complex number $c
 191
 192 =item C<gsl_complex_arcsin($c)> - return the complex arcsine of the complex number $c
 193
 194 =item C<gsl_complex_arcsin_real($x)> - return the complex arcsine of the real number $x
 195
 196 =item C<gsl_complex_arccos($c)> - return the complex arccosine of the complex number $c
 197
 198 =item C<gsl_complex_arccos_real($x)> - return the complex arccosine of the real number $x
 199
 200 =item C<gsl_complex_arcsec($c)> - return the complex arcsecant of the complex number $c
 201
 202 =item C<gsl_complex_arcsec_real($x)> - return the complex arcsecant of the real number $x
 203
 204 =item C<gsl_complex_arccsc($c)> - return the complex arccosecant of the complex number $c
 205
 206 =item C<gsl_complex_arccsc_real($x)> - return the complex arccosecant of the real number $x
 207
 208 =item C<gsl_complex_arctan($c)> - return the complex arctangent of the complex number $c
 209
 210 =item C<gsl_complex_arccot($c)> - return the complex arccotangent of the complex number $c
 211
 212 =item C<gsl_complex_sinh($c)> - return the complex hyperbolic sine of the complex number $c
 213
 214 =item C<gsl_complex_cosh($c)> - return the complex hyperbolic cosine of the complex number $cy
 215
 216 =item C<gsl_complex_sech($c)> - return the complex hyperbolic secant of the complex number $c
 217
 218 =item C<gsl_complex_csch($c)> - return the complex hyperbolic cosecant of the complex number $c
 219
 220 =item C<gsl_complex_tanh($c)> - return the complex hyperbolic tangent of the complex number $c
 221
 222 =item C<gsl_complex_coth($c)> - return the complex hyperbolic cotangent of the complex number $c
 223
 224 =item C<gsl_complex_arcsinh($c)> - return the complex hyperbolic arcsine of the complex number $c
 225
 226 =item C<gsl_complex_arccosh($c)> - return the complex hyperbolic arccosine of the complex number $c
 227
 228 =item C<gsl_complex_arccosh_real($x)> - return the complex hyperbolic arccosine of the real number $x
 229
 230 =item C<gsl_complex_arcsech($c)> - return the complex hyperbolic arcsecant of the complex number $c
 231
 232 =item C<gsl_complex_arccsch($c)> - return the complex hyperbolic arccosecant of the complex number $c
 233
 234 =item C<gsl_complex_arctanh($c)> - return the complex hyperbolic arctangent of the complex number $c
 235
 236 =item C<gsl_complex_arctanh_real($x)> - return the complex hyperbolic arctangent of the real number $x
 237
 238 =item C<gsl_complex_arccoth($c)> - return the complex hyperbolic arccotangent of the complex number $c
 239
 240 =item C<gsl_real($z)> - return the real part of $z
 241
 242 =item C<gsl_imag($z)> - return the imaginary part of $z
 243
 244 =item C<gsl_parts($z)> - return a list of the real and imaginary parts of $z
 245
 246 =item C<gsl_set_real($z, $x)> - sets the real part of $z to $x
 247
 248 =item C<gsl_set_imag($z, $y)> - sets the imaginary part of $z to $y
 249
 250 =item C<gsl_set_complex($z, $x, $h)> - sets the real part of $z to $x and the imaginary part to $y
 251
 252 =back
 253
 254 You have to add the functions you want to use inside the qw /put_funtion_here / with spaces between each function.
 255 You can also write use Math::GSL::Complex qw/:all/ to use all avaible functions of the module.
 256
 257 For more informations on the functions, we refer you to the GSL offcial documentation: L<http://www.gnu.org/software/gsl/manual/html_node/>
 258 Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/ name_of_the_function_you_want
 259
 260 =head1 EXAMPLES
 261
 262 This code defines $z as 6 + 4*I, takes the complex conjugate of that number, then prints it out.
 263
 264 =over 1
 265
 266 =item C<my $z = gsl_complex_rect(6,4);>
 267
 268 =item C<my $y = gsl_complex_conjugate($z);>
 269
 270 =item C<my ($real, $imag) = gsl_parts($y);>
 271
 272 =item C<print "z = $real + $imag*I\n";>
 273
 274 =back
 275
 276 This code defines $z as 5 + 3*I, multiplies it by 2 and then prints it out.
 277
 278 =over 1
 279
 280 =item C<my $x = gsl_complex_rect(5,3);>
 281
 282 =item C<my $z = gsl_complex_mul_real($x, 2);>
 283
 284 =item C<my $real = gsl_real($z);>
 285
 286 =item C<my $imag = gsl_imag($z);>
 287
 288 =item C<print "Re(\$z) = $real\n";>
 289
 290 =back
 291
 292 =head1 AUTHORS
 293
 294 Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
 295
 296 =head1 COPYRIGHT AND LICENSE
 297
 298 Copyright (C) 2008 Jonathan Leto and Thierry Moisan
 299
 300 This program is free software; you can redistribute it and/or modify it
 301 under the same terms as Perl itself.
 302
 303 =cut
 304 %}