LCOV - code coverage report
Current view: top level - src - applications.h (source / functions) Hit Total Coverage
Test: qucs-core-0.0.19 Code Coverage Lines: 9 16 56.2 %
Date: 2015-01-05 16:01:02 Functions: 1 1 100.0 %
Legend: Lines: hit not hit | Branches: + taken - not taken # not executed Branches: 5 13 38.5 %

           Branch data     Line data    Source code
       1                 :            : /*
       2                 :            :  * applications.h - the Qucs application list
       3                 :            :  *
       4                 :            :  * Copyright (C) 2005-2011 Stefan Jahn <stefan@lkcc.org>
       5                 :            :  * Copyright (C) 2006 Gunther Kraut <gn.kraut@t-online.de>
       6                 :            :  *
       7                 :            :  * This is free software; you can redistribute it and/or modify
       8                 :            :  * it under the terms of the GNU General Public License as published by
       9                 :            :  * the Free Software Foundation; either version 2, or (at your option)
      10                 :            :  * any later version.
      11                 :            :  *
      12                 :            :  * This software is distributed in the hope that it will be useful,
      13                 :            :  * but WITHOUT ANY WARRANTY; without even the implied warranty of
      14                 :            :  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      15                 :            :  * GNU General Public License for more details.
      16                 :            :  *
      17                 :            :  * You should have received a copy of the GNU General Public License
      18                 :            :  * along with this package; see the file COPYING.  If not, write to
      19                 :            :  * the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor,
      20                 :            :  * Boston, MA 02110-1301, USA.
      21                 :            :  *
      22                 :            :  * $Id$
      23                 :            :  *
      24                 :            :  */
      25                 :            : 
      26                 :            : #ifndef __APPLICATIONS_H__
      27                 :            : #define __APPLICATIONS_H__
      28                 :            : 
      29                 :            : // Array containing all kinds of applications.
      30                 :            : struct application_t qucs::eqn::applications[] = {
      31                 :            :   { "+", TAG_DOUBLE,  evaluate::plus_d, 1, { TAG_DOUBLE  } },
      32                 :            :   { "+", TAG_COMPLEX, evaluate::plus_c, 1, { TAG_COMPLEX } },
      33                 :            :   { "+", TAG_VECTOR,  evaluate::plus_v, 1, { TAG_VECTOR  } },
      34                 :            :   { "+", TAG_MATRIX,  evaluate::plus_m, 1, { TAG_MATRIX  } },
      35                 :            :   { "+", TAG_MATVEC,  evaluate::plus_mv, 1, { TAG_MATVEC } },
      36                 :            : 
      37                 :            :   { "+", TAG_DOUBLE,  evaluate::plus_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
      38                 :            :   { "+", TAG_COMPLEX, evaluate::plus_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
      39                 :            :   { "+", TAG_COMPLEX, evaluate::plus_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
      40                 :            :   { "+", TAG_COMPLEX, evaluate::plus_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
      41                 :            :   { "+", TAG_VECTOR,  evaluate::plus_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
      42                 :            :   { "+", TAG_VECTOR,  evaluate::plus_d_v, 2, { TAG_DOUBLE,  TAG_VECTOR  } },
      43                 :            :   { "+", TAG_VECTOR,  evaluate::plus_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
      44                 :            :   { "+", TAG_VECTOR,  evaluate::plus_c_v, 2, { TAG_COMPLEX, TAG_VECTOR  } },
      45                 :            :   { "+", TAG_VECTOR,  evaluate::plus_v_v, 2, { TAG_VECTOR,  TAG_VECTOR  } },
      46                 :            :   { "+", TAG_MATRIX,  evaluate::plus_m_m, 2, { TAG_MATRIX,  TAG_MATRIX  } },
      47                 :            :   { "+", TAG_MATRIX,  evaluate::plus_m_d, 2, { TAG_MATRIX,  TAG_DOUBLE  } },
      48                 :            :   { "+", TAG_MATRIX,  evaluate::plus_d_m, 2, { TAG_DOUBLE,  TAG_MATRIX  } },
      49                 :            :   { "+", TAG_MATRIX,  evaluate::plus_m_c, 2, { TAG_MATRIX,  TAG_COMPLEX } },
      50                 :            :   { "+", TAG_MATRIX,  evaluate::plus_c_m, 2, { TAG_COMPLEX, TAG_MATRIX  } },
      51                 :            :   { "+", TAG_STRING,  evaluate::plus_s_s, 2, { TAG_STRING,  TAG_STRING  } },
      52                 :            :   { "+", TAG_STRING,  evaluate::plus_c_s, 2, { TAG_CHAR,    TAG_STRING  } },
      53                 :            :   { "+", TAG_STRING,  evaluate::plus_s_c, 2, { TAG_STRING,  TAG_CHAR    } },
      54                 :            :   { "+", TAG_MATVEC,  evaluate::plus_mv_mv, 2, { TAG_MATVEC,TAG_MATVEC  } },
      55                 :            :   { "+", TAG_MATVEC,  evaluate::plus_mv_m, 2, { TAG_MATVEC, TAG_MATRIX  } },
      56                 :            :   { "+", TAG_MATVEC,  evaluate::plus_m_mv, 2, { TAG_MATRIX, TAG_MATVEC  } },
      57                 :            :   { "+", TAG_MATVEC,  evaluate::plus_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE  } },
      58                 :            :   { "+", TAG_MATVEC,  evaluate::plus_d_mv, 2, { TAG_DOUBLE, TAG_MATVEC  } },
      59                 :            :   { "+", TAG_MATVEC,  evaluate::plus_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
      60                 :            :   { "+", TAG_MATVEC,  evaluate::plus_c_mv, 2, { TAG_COMPLEX,TAG_MATVEC  } },
      61                 :            :   { "+", TAG_MATVEC,  evaluate::plus_mv_v, 2, { TAG_MATVEC, TAG_VECTOR  } },
      62                 :            :   { "+", TAG_MATVEC,  evaluate::plus_v_mv, 2, { TAG_VECTOR, TAG_MATVEC  } },
      63                 :            : 
      64                 :            :   { "-", TAG_DOUBLE,  evaluate::minus_d, 1, { TAG_DOUBLE  } },
      65                 :            :   { "-", TAG_COMPLEX, evaluate::minus_c, 1, { TAG_COMPLEX } },
      66                 :            :   { "-", TAG_VECTOR,  evaluate::minus_v, 1, { TAG_VECTOR  } },
      67                 :            :   { "-", TAG_MATRIX,  evaluate::minus_m, 1, { TAG_MATRIX  } },
      68                 :            :   { "-", TAG_MATVEC,  evaluate::minus_mv, 1, { TAG_MATVEC } },
      69                 :            : 
      70                 :            :   { "-", TAG_DOUBLE,  evaluate::minus_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
      71                 :            :   { "-", TAG_COMPLEX, evaluate::minus_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
      72                 :            :   { "-", TAG_COMPLEX, evaluate::minus_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
      73                 :            :   { "-", TAG_COMPLEX, evaluate::minus_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
      74                 :            :   { "-", TAG_VECTOR,  evaluate::minus_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
      75                 :            :   { "-", TAG_VECTOR,  evaluate::minus_d_v, 2, { TAG_DOUBLE,  TAG_VECTOR  } },
      76                 :            :   { "-", TAG_VECTOR,  evaluate::minus_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
      77                 :            :   { "-", TAG_VECTOR,  evaluate::minus_c_v, 2, { TAG_COMPLEX, TAG_VECTOR  } },
      78                 :            :   { "-", TAG_VECTOR,  evaluate::minus_v_v, 2, { TAG_VECTOR,  TAG_VECTOR  } },
      79                 :            :   { "-", TAG_MATRIX,  evaluate::minus_m_m, 2, { TAG_MATRIX,  TAG_MATRIX  } },
      80                 :            :   { "-", TAG_MATRIX,  evaluate::minus_m_d, 2, { TAG_MATRIX,  TAG_DOUBLE  } },
      81                 :            :   { "-", TAG_MATRIX,  evaluate::minus_d_m, 2, { TAG_DOUBLE,  TAG_MATRIX  } },
      82                 :            :   { "-", TAG_MATRIX,  evaluate::minus_m_c, 2, { TAG_MATRIX,  TAG_COMPLEX } },
      83                 :            :   { "-", TAG_MATRIX,  evaluate::minus_c_m, 2, { TAG_COMPLEX, TAG_MATRIX  } },
      84                 :            :   { "-", TAG_MATVEC,  evaluate::minus_mv_mv, 2, { TAG_MATVEC,TAG_MATVEC  } },
      85                 :            :   { "-", TAG_MATVEC,  evaluate::minus_mv_m, 2, { TAG_MATVEC, TAG_MATRIX  } },
      86                 :            :   { "-", TAG_MATVEC,  evaluate::minus_m_mv, 2, { TAG_MATRIX, TAG_MATVEC  } },
      87                 :            :   { "-", TAG_MATVEC,  evaluate::minus_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE  } },
      88                 :            :   { "-", TAG_MATVEC,  evaluate::minus_d_mv, 2, { TAG_DOUBLE, TAG_MATVEC  } },
      89                 :            :   { "-", TAG_MATVEC,  evaluate::minus_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
      90                 :            :   { "-", TAG_MATVEC,  evaluate::minus_c_mv, 2, { TAG_COMPLEX,TAG_MATVEC  } },
      91                 :            :   { "-", TAG_MATVEC,  evaluate::minus_mv_v, 2, { TAG_MATVEC, TAG_VECTOR  } },
      92                 :            :   { "-", TAG_MATVEC,  evaluate::minus_v_mv, 2, { TAG_VECTOR, TAG_MATVEC  } },
      93                 :            : 
      94                 :            :   { "*", TAG_DOUBLE,  evaluate::times_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
      95                 :            :   { "*", TAG_COMPLEX, evaluate::times_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
      96                 :            :   { "*", TAG_COMPLEX, evaluate::times_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
      97                 :            :   { "*", TAG_COMPLEX, evaluate::times_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
      98                 :            :   { "*", TAG_VECTOR,  evaluate::times_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
      99                 :            :   { "*", TAG_VECTOR,  evaluate::times_d_v, 2, { TAG_DOUBLE,  TAG_VECTOR  } },
     100                 :            :   { "*", TAG_VECTOR,  evaluate::times_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
     101                 :            :   { "*", TAG_VECTOR,  evaluate::times_c_v, 2, { TAG_COMPLEX, TAG_VECTOR  } },
     102                 :            :   { "*", TAG_VECTOR,  evaluate::times_v_v, 2, { TAG_VECTOR,  TAG_VECTOR  } },
     103                 :            :   { "*", TAG_MATRIX,  evaluate::times_m_m, 2, { TAG_MATRIX,  TAG_MATRIX  } },
     104                 :            :   { "*", TAG_MATRIX,  evaluate::times_m_c, 2, { TAG_MATRIX,  TAG_COMPLEX } },
     105                 :            :   { "*", TAG_MATRIX,  evaluate::times_c_m, 2, { TAG_COMPLEX, TAG_MATRIX  } },
     106                 :            :   { "*", TAG_MATRIX,  evaluate::times_m_d, 2, { TAG_MATRIX,  TAG_DOUBLE  } },
     107                 :            :   { "*", TAG_MATRIX,  evaluate::times_d_m, 2, { TAG_DOUBLE,  TAG_MATRIX  } },
     108                 :            :   { "*", TAG_MATVEC,  evaluate::times_mv_mv, 2, { TAG_MATVEC,TAG_MATVEC  } },
     109                 :            :   { "*", TAG_MATVEC,  evaluate::times_mv_m, 2, { TAG_MATVEC, TAG_MATRIX  } },
     110                 :            :   { "*", TAG_MATVEC,  evaluate::times_m_mv, 2, { TAG_MATRIX, TAG_MATVEC  } },
     111                 :            :   { "*", TAG_MATVEC,  evaluate::times_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
     112                 :            :   { "*", TAG_MATVEC,  evaluate::times_c_mv, 2, { TAG_COMPLEX,TAG_MATVEC  } },
     113                 :            :   { "*", TAG_MATVEC,  evaluate::times_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE  } },
     114                 :            :   { "*", TAG_MATVEC,  evaluate::times_d_mv, 2, { TAG_DOUBLE, TAG_MATVEC  } },
     115                 :            :   { "*", TAG_MATVEC,  evaluate::times_mv_v, 2, { TAG_MATVEC, TAG_VECTOR  } },
     116                 :            :   { "*", TAG_MATVEC,  evaluate::times_v_mv, 2, { TAG_VECTOR, TAG_MATVEC  } },
     117                 :            : 
     118                 :            :   { "/", TAG_DOUBLE,  evaluate::over_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
     119                 :            :   { "/", TAG_COMPLEX, evaluate::over_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     120                 :            :   { "/", TAG_COMPLEX, evaluate::over_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
     121                 :            :   { "/", TAG_COMPLEX, evaluate::over_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
     122                 :            :   { "/", TAG_VECTOR,  evaluate::over_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
     123                 :            :   { "/", TAG_VECTOR,  evaluate::over_d_v, 2, { TAG_DOUBLE,  TAG_VECTOR  } },
     124                 :            :   { "/", TAG_VECTOR,  evaluate::over_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
     125                 :            :   { "/", TAG_VECTOR,  evaluate::over_c_v, 2, { TAG_COMPLEX, TAG_VECTOR  } },
     126                 :            :   { "/", TAG_VECTOR,  evaluate::over_v_v, 2, { TAG_VECTOR,  TAG_VECTOR  } },
     127                 :            :   { "/", TAG_MATRIX,  evaluate::over_m_c, 2, { TAG_MATRIX,  TAG_COMPLEX } },
     128                 :            :   { "/", TAG_MATRIX,  evaluate::over_m_d, 2, { TAG_MATRIX,  TAG_DOUBLE  } },
     129                 :            :   { "/", TAG_MATVEC,  evaluate::over_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
     130                 :            :   { "/", TAG_MATVEC,  evaluate::over_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE  } },
     131                 :            :   { "/", TAG_MATVEC,  evaluate::over_mv_v, 2, { TAG_MATVEC, TAG_VECTOR  } },
     132                 :            : 
     133                 :            :   { "%", TAG_DOUBLE,  evaluate::modulo_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
     134                 :            :   { "%", TAG_COMPLEX, evaluate::modulo_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     135                 :            :   { "%", TAG_COMPLEX, evaluate::modulo_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
     136                 :            :   { "%", TAG_COMPLEX, evaluate::modulo_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
     137                 :            :   { "%", TAG_VECTOR,  evaluate::modulo_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
     138                 :            :   { "%", TAG_VECTOR,  evaluate::modulo_d_v, 2, { TAG_DOUBLE,  TAG_VECTOR  } },
     139                 :            :   { "%", TAG_VECTOR,  evaluate::modulo_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
     140                 :            :   { "%", TAG_VECTOR,  evaluate::modulo_c_v, 2, { TAG_COMPLEX, TAG_VECTOR  } },
     141                 :            :   { "%", TAG_VECTOR,  evaluate::modulo_v_v, 2, { TAG_VECTOR,  TAG_VECTOR  } },
     142                 :            : 
     143                 :            :   { "^", TAG_DOUBLE,  evaluate::power_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
     144                 :            :   { "^", TAG_COMPLEX, evaluate::power_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     145                 :            :   { "^", TAG_COMPLEX, evaluate::power_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
     146                 :            :   { "^", TAG_COMPLEX, evaluate::power_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
     147                 :            :   { "^", TAG_VECTOR,  evaluate::power_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
     148                 :            :   { "^", TAG_VECTOR,  evaluate::power_d_v, 2, { TAG_DOUBLE,  TAG_VECTOR  } },
     149                 :            :   { "^", TAG_VECTOR,  evaluate::power_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
     150                 :            :   { "^", TAG_VECTOR,  evaluate::power_c_v, 2, { TAG_COMPLEX, TAG_VECTOR  } },
     151                 :            :   { "^", TAG_VECTOR,  evaluate::power_v_v, 2, { TAG_VECTOR,  TAG_VECTOR  } },
     152                 :            :   { "^", TAG_MATRIX,  evaluate::power_m_d, 2, { TAG_MATRIX,  TAG_DOUBLE  } },
     153                 :            :   { "^", TAG_MATRIX,  evaluate::power_m_c, 2, { TAG_MATRIX,  TAG_COMPLEX } },
     154                 :            :   { "^", TAG_MATVEC,  evaluate::power_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE  } },
     155                 :            :   { "^", TAG_MATVEC,  evaluate::power_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
     156                 :            :   { "^", TAG_MATVEC,  evaluate::power_mv_v, 2, { TAG_MATVEC, TAG_VECTOR  } },
     157                 :            : 
     158                 :            :   { "hypot", TAG_DOUBLE,  evaluate::xhypot_d_d, 2,
     159                 :            :     { TAG_DOUBLE,  TAG_DOUBLE  } },
     160                 :            :   { "hypot", TAG_DOUBLE, evaluate::xhypot_c_c, 2,
     161                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
     162                 :            :   { "hypot", TAG_DOUBLE, evaluate::xhypot_c_d, 2,
     163                 :            :     { TAG_COMPLEX, TAG_DOUBLE  } },
     164                 :            :   { "hypot", TAG_DOUBLE, evaluate::xhypot_d_c, 2,
     165                 :            :     { TAG_DOUBLE,  TAG_COMPLEX } },
     166                 :            :   { "hypot", TAG_VECTOR,  evaluate::xhypot_v_d, 2,
     167                 :            :     { TAG_VECTOR,  TAG_DOUBLE  } },
     168                 :            :   { "hypot", TAG_VECTOR,  evaluate::xhypot_d_v, 2,
     169                 :            :     { TAG_DOUBLE,  TAG_VECTOR  } },
     170                 :            :   { "hypot", TAG_VECTOR,  evaluate::xhypot_v_c, 2,
     171                 :            :     { TAG_VECTOR,  TAG_COMPLEX } },
     172                 :            :   { "hypot", TAG_VECTOR,  evaluate::xhypot_c_v, 2,
     173                 :            :     { TAG_COMPLEX, TAG_VECTOR  } },
     174                 :            :   { "hypot", TAG_VECTOR,  evaluate::xhypot_v_v, 2,
     175                 :            :     { TAG_VECTOR,  TAG_VECTOR  } },
     176                 :            : 
     177                 :            :   { "real", TAG_DOUBLE,  evaluate::real_d, 1, { TAG_DOUBLE  } },
     178                 :            :   { "real", TAG_DOUBLE,  evaluate::real_c, 1, { TAG_COMPLEX } },
     179                 :            :   { "real", TAG_VECTOR,  evaluate::real_v, 1, { TAG_VECTOR  } },
     180                 :            :   { "real", TAG_MATRIX,  evaluate::real_m, 1, { TAG_MATRIX  } },
     181                 :            :   { "real", TAG_MATVEC,  evaluate::real_mv, 1, { TAG_MATVEC } },
     182                 :            : 
     183                 :            :   { "imag", TAG_DOUBLE,  evaluate::imag_d, 1, { TAG_DOUBLE  } },
     184                 :            :   { "imag", TAG_DOUBLE,  evaluate::imag_c, 1, { TAG_COMPLEX } },
     185                 :            :   { "imag", TAG_VECTOR,  evaluate::imag_v, 1, { TAG_VECTOR  } },
     186                 :            :   { "imag", TAG_MATRIX,  evaluate::imag_m, 1, { TAG_MATRIX  } },
     187                 :            :   { "imag", TAG_MATVEC,  evaluate::imag_mv, 1, { TAG_MATVEC } },
     188                 :            : 
     189                 :            :   { "abs", TAG_DOUBLE,  evaluate::abs_d, 1, { TAG_DOUBLE  } },
     190                 :            :   { "abs", TAG_DOUBLE,  evaluate::abs_c, 1, { TAG_COMPLEX } },
     191                 :            :   { "abs", TAG_VECTOR,  evaluate::abs_v, 1, { TAG_VECTOR  } },
     192                 :            :   { "abs", TAG_MATRIX,  evaluate::abs_m, 1, { TAG_MATRIX  } },
     193                 :            :   { "abs", TAG_MATVEC,  evaluate::abs_mv, 1, { TAG_MATVEC } },
     194                 :            : 
     195                 :            :   { "mag", TAG_DOUBLE,  evaluate::abs_d, 1, { TAG_DOUBLE  } },
     196                 :            :   { "mag", TAG_DOUBLE,  evaluate::abs_c, 1, { TAG_COMPLEX } },
     197                 :            :   { "mag", TAG_VECTOR,  evaluate::abs_v, 1, { TAG_VECTOR  } },
     198                 :            :   { "mag", TAG_MATRIX,  evaluate::abs_m, 1, { TAG_MATRIX  } },
     199                 :            :   { "mag", TAG_MATVEC,  evaluate::abs_mv, 1, { TAG_MATVEC } },
     200                 :            : 
     201                 :            :   { "conj", TAG_DOUBLE,  evaluate::conj_d,  1, { TAG_DOUBLE  } },
     202                 :            :   { "conj", TAG_COMPLEX, evaluate::conj_c,  1, { TAG_COMPLEX } },
     203                 :            :   { "conj", TAG_VECTOR,  evaluate::conj_v,  1, { TAG_VECTOR  } },
     204                 :            :   { "conj", TAG_MATRIX,  evaluate::conj_m,  1, { TAG_MATRIX  } },
     205                 :            :   { "conj", TAG_MATVEC,  evaluate::conj_mv, 1, { TAG_MATVEC  } },
     206                 :            : 
     207                 :            :   { "norm", TAG_DOUBLE,  evaluate::norm_d, 1, { TAG_DOUBLE  } },
     208                 :            :   { "norm", TAG_DOUBLE,  evaluate::norm_c, 1, { TAG_COMPLEX } },
     209                 :            :   { "norm", TAG_VECTOR,  evaluate::norm_v, 1, { TAG_VECTOR  } },
     210                 :            : 
     211                 :            :   { "phase", TAG_DOUBLE,  evaluate::phase_d, 1, { TAG_DOUBLE  } },
     212                 :            :   { "phase", TAG_DOUBLE,  evaluate::phase_c, 1, { TAG_COMPLEX } },
     213                 :            :   { "phase", TAG_VECTOR,  evaluate::phase_v, 1, { TAG_VECTOR  } },
     214                 :            :   { "phase", TAG_MATRIX,  evaluate::phase_m,  1, { TAG_MATRIX } },
     215                 :            :   { "phase", TAG_MATVEC,  evaluate::phase_mv, 1, { TAG_MATVEC } },
     216                 :            : 
     217                 :            :   { "angle", TAG_DOUBLE,  evaluate::arg_d, 1, { TAG_DOUBLE  } },
     218                 :            :   { "angle", TAG_DOUBLE,  evaluate::arg_c, 1, { TAG_COMPLEX } },
     219                 :            :   { "angle", TAG_VECTOR,  evaluate::arg_v, 1, { TAG_VECTOR  } },
     220                 :            :   { "angle", TAG_MATRIX,  evaluate::arg_m,  1, { TAG_MATRIX } },
     221                 :            :   { "angle", TAG_MATVEC,  evaluate::arg_mv, 1, { TAG_MATVEC } },
     222                 :            : 
     223                 :            :   { "arg", TAG_DOUBLE,  evaluate::arg_d, 1, { TAG_DOUBLE  } },
     224                 :            :   { "arg", TAG_DOUBLE,  evaluate::arg_c, 1, { TAG_COMPLEX } },
     225                 :            :   { "arg", TAG_VECTOR,  evaluate::arg_v, 1, { TAG_VECTOR  } },
     226                 :            :   { "arg", TAG_MATRIX,  evaluate::arg_m,  1, { TAG_MATRIX } },
     227                 :            :   { "arg", TAG_MATVEC,  evaluate::arg_mv, 1, { TAG_MATVEC } },
     228                 :            : 
     229                 :            :   { "unwrap", TAG_VECTOR,  evaluate::unwrap_v_1, 1,
     230                 :            :     { TAG_VECTOR  } },
     231                 :            :   { "unwrap", TAG_VECTOR,  evaluate::unwrap_v_2, 2,
     232                 :            :     { TAG_VECTOR, TAG_DOUBLE } },
     233                 :            :   { "unwrap", TAG_VECTOR,  evaluate::unwrap_v_3, 3,
     234                 :            :     { TAG_VECTOR, TAG_DOUBLE, TAG_DOUBLE } },
     235                 :            : 
     236                 :            :   { "deg2rad", TAG_DOUBLE,  evaluate::deg2rad_d, 1, { TAG_DOUBLE  } },
     237                 :            :   { "deg2rad", TAG_DOUBLE,  evaluate::deg2rad_c, 1, { TAG_COMPLEX } },
     238                 :            :   { "deg2rad", TAG_VECTOR,  evaluate::deg2rad_v, 1, { TAG_VECTOR  } },
     239                 :            :   { "rad2deg", TAG_DOUBLE,  evaluate::rad2deg_d, 1, { TAG_DOUBLE  } },
     240                 :            :   { "rad2deg", TAG_DOUBLE,  evaluate::rad2deg_c, 1, { TAG_COMPLEX } },
     241                 :            :   { "rad2deg", TAG_VECTOR,  evaluate::rad2deg_v, 1, { TAG_VECTOR  } },
     242                 :            : 
     243                 :            :   { "dB", TAG_DOUBLE, evaluate::dB_d,  1, { TAG_DOUBLE  } },
     244                 :            :   { "dB", TAG_DOUBLE, evaluate::dB_c,  1, { TAG_COMPLEX } },
     245                 :            :   { "dB", TAG_VECTOR, evaluate::dB_v,  1, { TAG_VECTOR  } },
     246                 :            :   { "dB", TAG_MATRIX, evaluate::dB_m,  1, { TAG_MATRIX  } },
     247                 :            :   { "dB", TAG_MATVEC, evaluate::dB_mv, 1, { TAG_MATVEC  } },
     248                 :            : 
     249                 :            :   { "sqrt", TAG_COMPLEX, evaluate::sqrt_d, 1, { TAG_DOUBLE } },
     250                 :            :   { "sqrt", TAG_COMPLEX, evaluate::sqrt_c, 1, { TAG_COMPLEX } },
     251                 :            :   { "sqrt", TAG_VECTOR,  evaluate::sqrt_v, 1, { TAG_VECTOR  } },
     252                 :            : 
     253                 :            :   { "exp", TAG_DOUBLE,  evaluate::exp_d, 1, { TAG_DOUBLE  } },
     254                 :            :   { "exp", TAG_COMPLEX, evaluate::exp_c, 1, { TAG_COMPLEX } },
     255                 :            :   { "exp", TAG_VECTOR,  evaluate::exp_v, 1, { TAG_VECTOR  } },
     256                 :            : 
     257                 :            :   { "limexp", TAG_DOUBLE,  evaluate::limexp_d, 1, { TAG_DOUBLE  } },
     258                 :            :   { "limexp", TAG_COMPLEX, evaluate::limexp_c, 1, { TAG_COMPLEX } },
     259                 :            :   { "limexp", TAG_VECTOR,  evaluate::limexp_v, 1, { TAG_VECTOR  } },
     260                 :            : 
     261                 :            :   { "ln", TAG_COMPLEX, evaluate::ln_d, 1, { TAG_DOUBLE  } },
     262                 :            :   { "ln", TAG_COMPLEX, evaluate::ln_c, 1, { TAG_COMPLEX } },
     263                 :            :   { "ln", TAG_VECTOR,  evaluate::ln_v, 1, { TAG_VECTOR  } },
     264                 :            : 
     265                 :            :   { "log10", TAG_COMPLEX, evaluate::log10_d, 1, { TAG_DOUBLE  } },
     266                 :            :   { "log10", TAG_COMPLEX, evaluate::log10_c, 1, { TAG_COMPLEX } },
     267                 :            :   { "log10", TAG_VECTOR,  evaluate::log10_v, 1, { TAG_VECTOR  } },
     268                 :            : 
     269                 :            :   { "log2", TAG_COMPLEX, evaluate::log2_d, 1, { TAG_DOUBLE  } },
     270                 :            :   { "log2", TAG_COMPLEX, evaluate::log2_c, 1, { TAG_COMPLEX } },
     271                 :            :   { "log2", TAG_VECTOR,  evaluate::log2_v, 1, { TAG_VECTOR  } },
     272                 :            : 
     273                 :            :   { "sin", TAG_DOUBLE,  evaluate::sin_d, 1, { TAG_DOUBLE  } },
     274                 :            :   { "sin", TAG_COMPLEX, evaluate::sin_c, 1, { TAG_COMPLEX } },
     275                 :            :   { "sin", TAG_VECTOR,  evaluate::sin_v, 1, { TAG_VECTOR  } },
     276                 :            : 
     277                 :            :   { "arcsin", TAG_DOUBLE,  evaluate::arcsin_d, 1, { TAG_DOUBLE  } },
     278                 :            :   { "arcsin", TAG_COMPLEX, evaluate::arcsin_c, 1, { TAG_COMPLEX } },
     279                 :            :   { "arcsin", TAG_VECTOR,  evaluate::arcsin_v, 1, { TAG_VECTOR  } },
     280                 :            : 
     281                 :            :   { "cos", TAG_DOUBLE,  evaluate::cos_d, 1, { TAG_DOUBLE  } },
     282                 :            :   { "cos", TAG_COMPLEX, evaluate::cos_c, 1, { TAG_COMPLEX } },
     283                 :            :   { "cos", TAG_VECTOR,  evaluate::cos_v, 1, { TAG_VECTOR  } },
     284                 :            : 
     285                 :            :   { "arccos", TAG_DOUBLE,  evaluate::arccos_d, 1, { TAG_DOUBLE  } },
     286                 :            :   { "arccos", TAG_COMPLEX, evaluate::arccos_c, 1, { TAG_COMPLEX } },
     287                 :            :   { "arccos", TAG_VECTOR,  evaluate::arccos_v, 1, { TAG_VECTOR  } },
     288                 :            : 
     289                 :            :   { "tan", TAG_DOUBLE,  evaluate::tan_d, 1, { TAG_DOUBLE  } },
     290                 :            :   { "tan", TAG_COMPLEX, evaluate::tan_c, 1, { TAG_COMPLEX } },
     291                 :            :   { "tan", TAG_VECTOR,  evaluate::tan_v, 1, { TAG_VECTOR  } },
     292                 :            : 
     293                 :            :   { "arctan", TAG_DOUBLE,  evaluate::arctan_d, 1, { TAG_DOUBLE  } },
     294                 :            :   { "arctan", TAG_COMPLEX, evaluate::arctan_c, 1, { TAG_COMPLEX } },
     295                 :            :   { "arctan", TAG_VECTOR,  evaluate::arctan_v, 1, { TAG_VECTOR  } },
     296                 :            : 
     297                 :            :   { "cot", TAG_DOUBLE,  evaluate::cot_d, 1, { TAG_DOUBLE  } },
     298                 :            :   { "cot", TAG_COMPLEX, evaluate::cot_c, 1, { TAG_COMPLEX } },
     299                 :            :   { "cot", TAG_VECTOR,  evaluate::cot_v, 1, { TAG_VECTOR  } },
     300                 :            : 
     301                 :            :   { "arccot", TAG_DOUBLE,  evaluate::arccot_d, 1, { TAG_DOUBLE  } },
     302                 :            :   { "arccot", TAG_COMPLEX, evaluate::arccot_c, 1, { TAG_COMPLEX } },
     303                 :            :   { "arccot", TAG_VECTOR,  evaluate::arccot_v, 1, { TAG_VECTOR  } },
     304                 :            : 
     305                 :            :   { "sec", TAG_DOUBLE,  evaluate::sec_d, 1, { TAG_DOUBLE  } },
     306                 :            :   { "sec", TAG_COMPLEX, evaluate::sec_c, 1, { TAG_COMPLEX } },
     307                 :            :   { "sec", TAG_VECTOR,  evaluate::sec_v, 1, { TAG_VECTOR  } },
     308                 :            : 
     309                 :            :   { "arcsec", TAG_DOUBLE,  evaluate::arcsec_d, 1, { TAG_DOUBLE  } },
     310                 :            :   { "arcsec", TAG_COMPLEX, evaluate::arcsec_c, 1, { TAG_COMPLEX } },
     311                 :            :   { "arcsec", TAG_VECTOR,  evaluate::arcsec_v, 1, { TAG_VECTOR  } },
     312                 :            : 
     313                 :            :   { "cosec", TAG_DOUBLE,  evaluate::cosec_d, 1, { TAG_DOUBLE  } },
     314                 :            :   { "cosec", TAG_COMPLEX, evaluate::cosec_c, 1, { TAG_COMPLEX } },
     315                 :            :   { "cosec", TAG_VECTOR,  evaluate::cosec_v, 1, { TAG_VECTOR  } },
     316                 :            : 
     317                 :            :   { "arccosec", TAG_DOUBLE,  evaluate::arccosec_d, 1, { TAG_DOUBLE  } },
     318                 :            :   { "arccosec", TAG_COMPLEX, evaluate::arccosec_c, 1, { TAG_COMPLEX } },
     319                 :            :   { "arccosec", TAG_VECTOR,  evaluate::arccosec_v, 1, { TAG_VECTOR  } },
     320                 :            : 
     321                 :            :   { "sinh", TAG_DOUBLE,  evaluate::sinh_d, 1, { TAG_DOUBLE  } },
     322                 :            :   { "sinh", TAG_COMPLEX, evaluate::sinh_c, 1, { TAG_COMPLEX } },
     323                 :            :   { "sinh", TAG_VECTOR,  evaluate::sinh_v, 1, { TAG_VECTOR  } },
     324                 :            : 
     325                 :            :   { "arsinh", TAG_DOUBLE,  evaluate::arsinh_d, 1, { TAG_DOUBLE  } },
     326                 :            :   { "arsinh", TAG_COMPLEX, evaluate::arsinh_c, 1, { TAG_COMPLEX } },
     327                 :            :   { "arsinh", TAG_VECTOR,  evaluate::arsinh_v, 1, { TAG_VECTOR  } },
     328                 :            : 
     329                 :            :   { "cosh", TAG_DOUBLE,  evaluate::cosh_d, 1, { TAG_DOUBLE  } },
     330                 :            :   { "cosh", TAG_COMPLEX, evaluate::cosh_c, 1, { TAG_COMPLEX } },
     331                 :            :   { "cosh", TAG_VECTOR,  evaluate::cosh_v, 1, { TAG_VECTOR  } },
     332                 :            : 
     333                 :            :   { "arcosh", TAG_COMPLEX, evaluate::arcosh_d, 1, { TAG_DOUBLE  } },
     334                 :            :   { "arcosh", TAG_COMPLEX, evaluate::arcosh_c, 1, { TAG_COMPLEX } },
     335                 :            :   { "arcosh", TAG_VECTOR,  evaluate::arcosh_v, 1, { TAG_VECTOR  } },
     336                 :            : 
     337                 :            :   { "tanh", TAG_DOUBLE,  evaluate::tanh_d, 1, { TAG_DOUBLE  } },
     338                 :            :   { "tanh", TAG_COMPLEX, evaluate::tanh_c, 1, { TAG_COMPLEX } },
     339                 :            :   { "tanh", TAG_VECTOR,  evaluate::tanh_v, 1, { TAG_VECTOR  } },
     340                 :            : 
     341                 :            :   { "artanh", TAG_DOUBLE,  evaluate::artanh_d, 1, { TAG_DOUBLE  } },
     342                 :            :   { "artanh", TAG_COMPLEX, evaluate::artanh_c, 1, { TAG_COMPLEX } },
     343                 :            :   { "artanh", TAG_VECTOR,  evaluate::artanh_v, 1, { TAG_VECTOR  } },
     344                 :            : 
     345                 :            :   { "coth", TAG_DOUBLE,  evaluate::coth_d, 1, { TAG_DOUBLE  } },
     346                 :            :   { "coth", TAG_COMPLEX, evaluate::coth_c, 1, { TAG_COMPLEX } },
     347                 :            :   { "coth", TAG_VECTOR,  evaluate::coth_v, 1, { TAG_VECTOR  } },
     348                 :            : 
     349                 :            :   { "arcoth", TAG_DOUBLE,  evaluate::arcoth_d, 1, { TAG_DOUBLE  } },
     350                 :            :   { "arcoth", TAG_COMPLEX, evaluate::arcoth_c, 1, { TAG_COMPLEX } },
     351                 :            :   { "arcoth", TAG_VECTOR,  evaluate::arcoth_v, 1, { TAG_VECTOR  } },
     352                 :            : 
     353                 :            :   { "sech", TAG_DOUBLE,  evaluate::sech_d, 1, { TAG_DOUBLE  } },
     354                 :            :   { "sech", TAG_COMPLEX, evaluate::sech_c, 1, { TAG_COMPLEX } },
     355                 :            :   { "sech", TAG_VECTOR,  evaluate::sech_v, 1, { TAG_VECTOR  } },
     356                 :            : 
     357                 :            :   { "arsech", TAG_COMPLEX, evaluate::arsech_d, 1, { TAG_DOUBLE  } },
     358                 :            :   { "arsech", TAG_COMPLEX, evaluate::arsech_c, 1, { TAG_COMPLEX } },
     359                 :            :   { "arsech", TAG_VECTOR,  evaluate::arsech_v, 1, { TAG_VECTOR  } },
     360                 :            : 
     361                 :            :   { "cosech", TAG_DOUBLE,  evaluate::cosech_d, 1, { TAG_DOUBLE  } },
     362                 :            :   { "cosech", TAG_COMPLEX, evaluate::cosech_c, 1, { TAG_COMPLEX } },
     363                 :            :   { "cosech", TAG_VECTOR,  evaluate::cosech_v, 1, { TAG_VECTOR  } },
     364                 :            : 
     365                 :            :   { "arcosech", TAG_DOUBLE,  evaluate::arcosech_d, 1, { TAG_DOUBLE  } },
     366                 :            :   { "arcosech", TAG_COMPLEX, evaluate::arcosech_c, 1, { TAG_COMPLEX } },
     367                 :            :   { "arcosech", TAG_VECTOR,  evaluate::arcosech_v, 1, { TAG_VECTOR  } },
     368                 :            : 
     369                 :            :   { "ztor", TAG_DOUBLE,  evaluate::ztor_d, 1, { TAG_DOUBLE } },
     370                 :            :   { "ztor", TAG_DOUBLE,  evaluate::ztor_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE } },
     371                 :            :   { "ztor", TAG_COMPLEX, evaluate::ztor_d_c, 2, { TAG_DOUBLE, TAG_COMPLEX } },
     372                 :            :   { "ztor", TAG_COMPLEX, evaluate::ztor_c, 1, { TAG_COMPLEX } },
     373                 :            :   { "ztor", TAG_COMPLEX, evaluate::ztor_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE } },
     374                 :            :   { "ztor", TAG_COMPLEX, evaluate::ztor_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     375                 :            :   { "ztor", TAG_VECTOR,  evaluate::ztor_v, 1, { TAG_VECTOR } },
     376                 :            :   { "ztor", TAG_VECTOR,  evaluate::ztor_v_d, 2, { TAG_VECTOR, TAG_DOUBLE } },
     377                 :            :   { "ztor", TAG_VECTOR,  evaluate::ztor_v_c, 2, { TAG_VECTOR, TAG_COMPLEX } },
     378                 :            : 
     379                 :            :   { "rtoz", TAG_DOUBLE,  evaluate::rtoz_d, 1, { TAG_DOUBLE } },
     380                 :            :   { "rtoz", TAG_DOUBLE,  evaluate::rtoz_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE } },
     381                 :            :   { "rtoz", TAG_COMPLEX, evaluate::rtoz_d_c, 2, { TAG_DOUBLE, TAG_COMPLEX } },
     382                 :            :   { "rtoz", TAG_COMPLEX, evaluate::rtoz_c, 1, { TAG_COMPLEX } },
     383                 :            :   { "rtoz", TAG_COMPLEX, evaluate::rtoz_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE } },
     384                 :            :   { "rtoz", TAG_COMPLEX, evaluate::rtoz_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     385                 :            :   { "rtoz", TAG_VECTOR,  evaluate::rtoz_v, 1, { TAG_VECTOR } },
     386                 :            :   { "rtoz", TAG_VECTOR,  evaluate::rtoz_v_d, 2, { TAG_VECTOR, TAG_DOUBLE } },
     387                 :            :   { "rtoz", TAG_VECTOR,  evaluate::rtoz_v_c, 2, { TAG_VECTOR, TAG_COMPLEX } },
     388                 :            : 
     389                 :            :   { "ytor", TAG_DOUBLE,  evaluate::ytor_d, 1, { TAG_DOUBLE } },
     390                 :            :   { "ytor", TAG_DOUBLE,  evaluate::ytor_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE } },
     391                 :            :   { "ytor", TAG_COMPLEX, evaluate::ytor_d_c, 2, { TAG_DOUBLE, TAG_COMPLEX } },
     392                 :            :   { "ytor", TAG_COMPLEX, evaluate::ytor_c, 1, { TAG_COMPLEX } },
     393                 :            :   { "ytor", TAG_COMPLEX, evaluate::ytor_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE } },
     394                 :            :   { "ytor", TAG_COMPLEX, evaluate::ytor_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     395                 :            :   { "ytor", TAG_VECTOR,  evaluate::ytor_v, 1, { TAG_VECTOR } },
     396                 :            :   { "ytor", TAG_VECTOR,  evaluate::ytor_v_d, 2, { TAG_VECTOR, TAG_DOUBLE } },
     397                 :            :   { "ytor", TAG_VECTOR,  evaluate::ytor_v_c, 2, { TAG_VECTOR, TAG_COMPLEX } },
     398                 :            : 
     399                 :            :   { "rtoy", TAG_DOUBLE,  evaluate::rtoy_d, 1, { TAG_DOUBLE } },
     400                 :            :   { "rtoy", TAG_DOUBLE,  evaluate::rtoy_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE } },
     401                 :            :   { "rtoy", TAG_COMPLEX, evaluate::rtoy_d_c, 2, { TAG_DOUBLE, TAG_COMPLEX } },
     402                 :            :   { "rtoy", TAG_COMPLEX, evaluate::rtoy_c, 1, { TAG_COMPLEX } },
     403                 :            :   { "rtoy", TAG_COMPLEX, evaluate::rtoy_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE } },
     404                 :            :   { "rtoy", TAG_COMPLEX, evaluate::rtoy_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     405                 :            :   { "rtoy", TAG_VECTOR,  evaluate::rtoy_v, 1, { TAG_VECTOR } },
     406                 :            :   { "rtoy", TAG_VECTOR,  evaluate::rtoy_v_d, 2, { TAG_VECTOR, TAG_DOUBLE } },
     407                 :            :   { "rtoy", TAG_VECTOR,  evaluate::rtoy_v_c, 2, { TAG_VECTOR, TAG_COMPLEX } },
     408                 :            : 
     409                 :            :   { "rtoswr", TAG_DOUBLE, evaluate::rtoswr_d, 1, { TAG_DOUBLE  } },
     410                 :            :   { "rtoswr", TAG_DOUBLE, evaluate::rtoswr_c, 1, { TAG_COMPLEX } },
     411                 :            :   { "rtoswr", TAG_VECTOR, evaluate::rtoswr_v, 1, { TAG_VECTOR  } },
     412                 :            : 
     413                 :            :   { "diff", TAG_VECTOR, evaluate::diff_v_2, 2, { TAG_VECTOR, TAG_VECTOR } },
     414                 :            :   { "diff", TAG_VECTOR, evaluate::diff_v_3, 3, { TAG_VECTOR, TAG_VECTOR,
     415                 :            :                                                  TAG_DOUBLE } },
     416                 :            : 
     417                 :            :   { "max", TAG_DOUBLE,  evaluate::max_d, 1, { TAG_DOUBLE  } },
     418                 :            :   { "max", TAG_DOUBLE,  evaluate::max_c, 1, { TAG_COMPLEX } },
     419                 :            :   { "max", TAG_DOUBLE,  evaluate::max_v, 1, { TAG_VECTOR  } },
     420                 :            :   { "max", TAG_DOUBLE,  evaluate::max_r, 2, { TAG_VECTOR, TAG_RANGE } },
     421                 :            : 
     422                 :            :   { "max", TAG_DOUBLE,  evaluate::max_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
     423                 :            :   { "max", TAG_COMPLEX, evaluate::max_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
     424                 :            :   { "max", TAG_COMPLEX, evaluate::max_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
     425                 :            :   { "max", TAG_COMPLEX, evaluate::max_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     426                 :            : 
     427                 :            :   { "min", TAG_DOUBLE,  evaluate::min_d, 1, { TAG_DOUBLE  } },
     428                 :            :   { "min", TAG_DOUBLE,  evaluate::min_c, 1, { TAG_COMPLEX } },
     429                 :            :   { "min", TAG_DOUBLE,  evaluate::min_v, 1, { TAG_VECTOR  } },
     430                 :            :   { "min", TAG_DOUBLE,  evaluate::min_r, 2, { TAG_VECTOR, TAG_RANGE } },
     431                 :            : 
     432                 :            :   { "min", TAG_DOUBLE,  evaluate::min_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
     433                 :            :   { "min", TAG_COMPLEX, evaluate::min_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
     434                 :            :   { "min", TAG_COMPLEX, evaluate::min_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
     435                 :            :   { "min", TAG_COMPLEX, evaluate::min_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     436                 :            : 
     437                 :            :   { "sum", TAG_DOUBLE,  evaluate::sum_d, 1, { TAG_DOUBLE  } },
     438                 :            :   { "sum", TAG_COMPLEX, evaluate::sum_c, 1, { TAG_COMPLEX } },
     439                 :            :   { "sum", TAG_COMPLEX, evaluate::sum_v, 1, { TAG_VECTOR  } },
     440                 :            : 
     441                 :            :   { "prod", TAG_DOUBLE,  evaluate::prod_d, 1, { TAG_DOUBLE  } },
     442                 :            :   { "prod", TAG_COMPLEX, evaluate::prod_c, 1, { TAG_COMPLEX } },
     443                 :            :   { "prod", TAG_COMPLEX, evaluate::prod_v, 1, { TAG_VECTOR  } },
     444                 :            : 
     445                 :            :   { "avg", TAG_DOUBLE,  evaluate::avg_d, 1, { TAG_DOUBLE  } },
     446                 :            :   { "avg", TAG_COMPLEX, evaluate::avg_c, 1, { TAG_COMPLEX } },
     447                 :            :   { "avg", TAG_COMPLEX, evaluate::avg_v, 1, { TAG_VECTOR  } },
     448                 :            :   { "avg", TAG_COMPLEX, evaluate::avg_r, 2, { TAG_VECTOR, TAG_RANGE } },
     449                 :            : 
     450                 :            :   { "length", TAG_DOUBLE, evaluate::length_d,  1, { TAG_DOUBLE  } },
     451                 :            :   { "length", TAG_DOUBLE, evaluate::length_c,  1, { TAG_COMPLEX } },
     452                 :            :   { "length", TAG_DOUBLE, evaluate::length_v,  1, { TAG_VECTOR  } },
     453                 :            :   { "length", TAG_DOUBLE, evaluate::length_m,  1, { TAG_MATRIX  } },
     454                 :            :   { "length", TAG_DOUBLE, evaluate::length_mv, 1, { TAG_MATVEC  } },
     455                 :            : 
     456                 :            :   { "array", TAG_VECTOR, evaluate::index_mv_2, 3,
     457                 :            :     { TAG_MATVEC, TAG_DOUBLE, TAG_DOUBLE } },
     458                 :            :   { "array", TAG_MATRIX, evaluate::index_mv_1, 2,
     459                 :            :     { TAG_MATVEC, TAG_DOUBLE } },
     460                 :            :   { "array", TAG_VECTOR,  evaluate::index_v_1, 2,
     461                 :            :     { TAG_VECTOR, TAG_DOUBLE | TAG_RANGE } },
     462                 :            :   { "array", TAG_VECTOR,  evaluate::index_v_2, 3,
     463                 :            :     { TAG_VECTOR, TAG_DOUBLE | TAG_RANGE, TAG_DOUBLE | TAG_RANGE } },
     464                 :            :   { "array", TAG_COMPLEX, evaluate::index_m_2, 3,
     465                 :            :     { TAG_MATRIX, TAG_DOUBLE, TAG_DOUBLE } },
     466                 :            :   { "array", TAG_CHAR, evaluate::index_s_1, 2, { TAG_STRING, TAG_DOUBLE } },
     467                 :            : 
     468                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_d,   2, { TAG_MATRIX, TAG_DOUBLE } },
     469                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_d_d, 3, { TAG_MATRIX, TAG_DOUBLE,
     470                 :            :                                                    TAG_DOUBLE } },
     471                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_d_c, 3, { TAG_MATRIX, TAG_DOUBLE,
     472                 :            :                                                    TAG_COMPLEX } },
     473                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_d_v, 3, { TAG_MATRIX, TAG_DOUBLE,
     474                 :            :                                                    TAG_VECTOR } },
     475                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_c,   2, { TAG_MATRIX, TAG_COMPLEX } },
     476                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_c_d, 3, { TAG_MATRIX, TAG_COMPLEX,
     477                 :            :                                                    TAG_DOUBLE } },
     478                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_c_c, 3, { TAG_MATRIX, TAG_COMPLEX,
     479                 :            :                                                    TAG_COMPLEX } },
     480                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_c_v, 3, { TAG_MATRIX, TAG_COMPLEX,
     481                 :            :                                                    TAG_VECTOR } },
     482                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_v,   2, { TAG_MATRIX, TAG_VECTOR } },
     483                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_v_d, 3, { TAG_MATRIX, TAG_VECTOR,
     484                 :            :                                                    TAG_DOUBLE } },
     485                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_v_c, 3, { TAG_MATRIX, TAG_VECTOR,
     486                 :            :                                                    TAG_COMPLEX } },
     487                 :            :   { "stos", TAG_MATRIX, evaluate::stos_m_v_v, 3, { TAG_MATRIX, TAG_VECTOR,
     488                 :            :                                                    TAG_VECTOR } },
     489                 :            : 
     490                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_d,   2, { TAG_MATVEC, TAG_DOUBLE } },
     491                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_d_d, 3, { TAG_MATVEC, TAG_DOUBLE,
     492                 :            :                                                     TAG_DOUBLE } },
     493                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_d_c, 3, { TAG_MATVEC, TAG_DOUBLE,
     494                 :            :                                                     TAG_COMPLEX } },
     495                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_d_v, 3, { TAG_MATVEC, TAG_DOUBLE,
     496                 :            :                                                     TAG_VECTOR } },
     497                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_c,   2, { TAG_MATVEC,
     498                 :            :                                                     TAG_COMPLEX } },
     499                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_c_d, 3, { TAG_MATVEC, TAG_COMPLEX,
     500                 :            :                                                     TAG_DOUBLE } },
     501                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_c_c, 3, { TAG_MATVEC, TAG_COMPLEX,
     502                 :            :                                                     TAG_COMPLEX } },
     503                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_c_v, 3, { TAG_MATVEC, TAG_COMPLEX,
     504                 :            :                                                     TAG_VECTOR } },
     505                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_v,   2, { TAG_MATVEC, TAG_VECTOR } },
     506                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_v_d, 3, { TAG_MATVEC, TAG_VECTOR,
     507                 :            :                                                     TAG_DOUBLE } },
     508                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_v_c, 3, { TAG_MATVEC, TAG_VECTOR,
     509                 :            :                                                     TAG_COMPLEX } },
     510                 :            :   { "stos", TAG_MATVEC, evaluate::stos_mv_v_v, 3, { TAG_MATVEC, TAG_VECTOR,
     511                 :            :                                                     TAG_VECTOR } },
     512                 :            : 
     513                 :            :   { "stoy", TAG_MATRIX, evaluate::stoy_m, 1, { TAG_MATRIX } },
     514                 :            :   { "stoy", TAG_MATRIX, evaluate::stoy_m_d, 2, { TAG_MATRIX, TAG_DOUBLE } },
     515                 :            :   { "stoy", TAG_MATRIX, evaluate::stoy_m_c, 2, { TAG_MATRIX, TAG_COMPLEX } },
     516                 :            :   { "stoy", TAG_MATRIX, evaluate::stoy_m_v, 2, { TAG_MATRIX, TAG_VECTOR } },
     517                 :            :   { "stoy", TAG_MATVEC, evaluate::stoy_mv, 1, { TAG_MATVEC } },
     518                 :            :   { "stoy", TAG_MATVEC, evaluate::stoy_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE } },
     519                 :            :   { "stoy", TAG_MATVEC, evaluate::stoy_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
     520                 :            :   { "stoy", TAG_MATVEC, evaluate::stoy_mv_v, 2, { TAG_MATVEC, TAG_VECTOR } },
     521                 :            : 
     522                 :            :   { "stoz", TAG_MATRIX, evaluate::stoz_m, 1, { TAG_MATRIX } },
     523                 :            :   { "stoz", TAG_MATRIX, evaluate::stoz_m_d, 2, { TAG_MATRIX, TAG_DOUBLE } },
     524                 :            :   { "stoz", TAG_MATRIX, evaluate::stoz_m_c, 2, { TAG_MATRIX, TAG_COMPLEX } },
     525                 :            :   { "stoz", TAG_MATRIX, evaluate::stoz_m_v, 2, { TAG_MATRIX, TAG_VECTOR } },
     526                 :            :   { "stoz", TAG_MATVEC, evaluate::stoz_mv, 1, { TAG_MATVEC } },
     527                 :            :   { "stoz", TAG_MATVEC, evaluate::stoz_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE } },
     528                 :            :   { "stoz", TAG_MATVEC, evaluate::stoz_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
     529                 :            :   { "stoz", TAG_MATVEC, evaluate::stoz_mv_v, 2, { TAG_MATVEC, TAG_VECTOR } },
     530                 :            : 
     531                 :            :   { "ytos", TAG_MATRIX, evaluate::ytos_m,  1, { TAG_MATRIX } },
     532                 :            :   { "ytos", TAG_MATRIX, evaluate::ytos_m_d, 2, { TAG_MATRIX, TAG_DOUBLE } },
     533                 :            :   { "ytos", TAG_MATRIX, evaluate::ytos_m_c, 2, { TAG_MATRIX, TAG_COMPLEX } },
     534                 :            :   { "ytos", TAG_MATRIX, evaluate::ytos_m_v, 2, { TAG_MATRIX, TAG_VECTOR } },
     535                 :            :   { "ytos", TAG_MATVEC, evaluate::ytos_mv, 1, { TAG_MATVEC } },
     536                 :            :   { "ytos", TAG_MATVEC, evaluate::ytos_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE } },
     537                 :            :   { "ytos", TAG_MATVEC, evaluate::ytos_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
     538                 :            :   { "ytos", TAG_MATVEC, evaluate::ytos_mv_v, 2, { TAG_MATVEC, TAG_VECTOR } },
     539                 :            : 
     540                 :            :   { "ztos", TAG_MATRIX, evaluate::ztos_m,  1, { TAG_MATRIX } },
     541                 :            :   { "ztos", TAG_MATRIX, evaluate::ztos_m_d, 2, { TAG_MATRIX, TAG_DOUBLE } },
     542                 :            :   { "ztos", TAG_MATRIX, evaluate::ztos_m_c, 2, { TAG_MATRIX, TAG_COMPLEX } },
     543                 :            :   { "ztos", TAG_MATRIX, evaluate::ztos_m_v, 2, { TAG_MATRIX, TAG_VECTOR } },
     544                 :            :   { "ztos", TAG_MATVEC, evaluate::ztos_mv, 1, { TAG_MATVEC } },
     545                 :            :   { "ztos", TAG_MATVEC, evaluate::ztos_mv_d, 2, { TAG_MATVEC, TAG_DOUBLE } },
     546                 :            :   { "ztos", TAG_MATVEC, evaluate::ztos_mv_c, 2, { TAG_MATVEC, TAG_COMPLEX } },
     547                 :            :   { "ztos", TAG_MATVEC, evaluate::ztos_mv_v, 2, { TAG_MATVEC, TAG_VECTOR } },
     548                 :            : 
     549                 :            :   { "ytoz", TAG_MATRIX, evaluate::ytoz_m,  1, { TAG_MATRIX } },
     550                 :            :   { "ytoz", TAG_MATVEC, evaluate::ytoz_mv, 1, { TAG_MATVEC } },
     551                 :            :   { "ztoy", TAG_MATRIX, evaluate::ztoy_m,  1, { TAG_MATRIX } },
     552                 :            :   { "ztoy", TAG_MATVEC, evaluate::ztoy_mv, 1, { TAG_MATVEC } },
     553                 :            : 
     554                 :            :   { "twoport", TAG_MATRIX, evaluate::twoport_m,  3,
     555                 :            :     { TAG_MATRIX, TAG_CHAR, TAG_CHAR } },
     556                 :            :   { "twoport", TAG_MATVEC, evaluate::twoport_mv, 3,
     557                 :            :     { TAG_MATVEC, TAG_CHAR, TAG_CHAR } },
     558                 :            : 
     559                 :            :   { "inverse",   TAG_MATRIX,  evaluate::inverse_m,    1, { TAG_MATRIX } },
     560                 :            :   { "inverse",   TAG_MATVEC,  evaluate::inverse_mv,   1, { TAG_MATVEC } },
     561                 :            :   { "transpose", TAG_MATRIX,  evaluate::transpose_m,  1, { TAG_MATRIX } },
     562                 :            :   { "transpose", TAG_MATVEC,  evaluate::transpose_mv, 1, { TAG_MATVEC } },
     563                 :            :   { "det",       TAG_COMPLEX, evaluate::det_m,        1, { TAG_MATRIX } },
     564                 :            :   { "det",       TAG_VECTOR,  evaluate::det_mv,       1, { TAG_MATVEC } },
     565                 :            :   { "eye",       TAG_MATRIX,  evaluate::eye_m,        1, { TAG_DOUBLE } },
     566                 :            :   { "adjoint",   TAG_MATRIX,  evaluate::adjoint_m,    1, { TAG_MATRIX } },
     567                 :            :   { "adjoint",   TAG_MATVEC,  evaluate::adjoint_mv,   1, { TAG_MATVEC } },
     568                 :            : 
     569                 :            :   { "signum", TAG_DOUBLE,  evaluate::signum_d, 1, { TAG_DOUBLE  } },
     570                 :            :   { "signum", TAG_COMPLEX, evaluate::signum_c, 1, { TAG_COMPLEX } },
     571                 :            :   { "signum", TAG_VECTOR,  evaluate::signum_v, 1, { TAG_VECTOR  } },
     572                 :            : 
     573                 :            :   { "sign", TAG_DOUBLE,  evaluate::sign_d, 1, { TAG_DOUBLE  } },
     574                 :            :   { "sign", TAG_COMPLEX, evaluate::sign_c, 1, { TAG_COMPLEX } },
     575                 :            :   { "sign", TAG_VECTOR,  evaluate::sign_v, 1, { TAG_VECTOR  } },
     576                 :            : 
     577                 :            :   { "sinc", TAG_DOUBLE,  evaluate::sinc_d, 1, { TAG_DOUBLE  } },
     578                 :            :   { "sinc", TAG_COMPLEX, evaluate::sinc_c, 1, { TAG_COMPLEX } },
     579                 :            :   { "sinc", TAG_VECTOR,  evaluate::sinc_v, 1, { TAG_VECTOR  } },
     580                 :            : 
     581                 :            :   { "Rollet", TAG_DOUBLE,  evaluate::rollet_m,  1, { TAG_MATRIX } },
     582                 :            :   { "Rollet", TAG_VECTOR,  evaluate::rollet_mv, 1, { TAG_MATVEC } },
     583                 :            :   { "Mu",     TAG_DOUBLE,  evaluate::mu1_m,     1, { TAG_MATRIX } },
     584                 :            :   { "Mu",     TAG_VECTOR,  evaluate::mu1_mv,    1, { TAG_MATVEC } },
     585                 :            :   { "Mu2",    TAG_DOUBLE,  evaluate::mu2_m,     1, { TAG_MATRIX } },
     586                 :            :   { "Mu2",    TAG_VECTOR,  evaluate::mu2_mv,    1, { TAG_MATVEC } },
     587                 :            :   { "StabFactor",  TAG_DOUBLE,  evaluate::rollet_m,  1, { TAG_MATRIX } },
     588                 :            :   { "StabFactor",  TAG_VECTOR,  evaluate::rollet_mv, 1, { TAG_MATVEC } },
     589                 :            :   { "StabMeasure", TAG_DOUBLE,  evaluate::b1_m,      1, { TAG_MATRIX } },
     590                 :            :   { "StabMeasure", TAG_VECTOR,  evaluate::b1_mv,     1, { TAG_MATVEC } },
     591                 :            : 
     592                 :            :   { "linspace", TAG_VECTOR, evaluate::linspace, 3,
     593                 :            :     { TAG_DOUBLE, TAG_DOUBLE, TAG_DOUBLE } },
     594                 :            :   { "logspace", TAG_VECTOR, evaluate::logspace, 3,
     595                 :            :     { TAG_DOUBLE, TAG_DOUBLE, TAG_DOUBLE } },
     596                 :            :   { "NoiseCircle", TAG_VECTOR, evaluate::noise_circle_d_v, 5,
     597                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_DOUBLE, TAG_VECTOR } },
     598                 :            :   { "NoiseCircle", TAG_VECTOR, evaluate::noise_circle_d_d, 5,
     599                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_DOUBLE, TAG_DOUBLE } },
     600                 :            :   { "NoiseCircle", TAG_VECTOR, evaluate::noise_circle_d, 4,
     601                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_DOUBLE } },
     602                 :            :   { "NoiseCircle", TAG_VECTOR, evaluate::noise_circle_v_v, 5,
     603                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR } },
     604                 :            :   { "NoiseCircle", TAG_VECTOR, evaluate::noise_circle_v_d, 5,
     605                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_DOUBLE } },
     606                 :            :   { "NoiseCircle", TAG_VECTOR, evaluate::noise_circle_v, 4,
     607                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR } },
     608                 :            :   { "StabCircleL", TAG_VECTOR, evaluate::stab_circle_l_v, 2,
     609                 :            :     { TAG_MATVEC, TAG_VECTOR } },
     610                 :            :   { "StabCircleL", TAG_VECTOR, evaluate::stab_circle_l_d, 2,
     611                 :            :     { TAG_MATVEC, TAG_DOUBLE } },
     612                 :            :   { "StabCircleL", TAG_VECTOR, evaluate::stab_circle_l, 1, { TAG_MATVEC } },
     613                 :            :   { "StabCircleS", TAG_VECTOR, evaluate::stab_circle_s_v, 2,
     614                 :            :     { TAG_MATVEC, TAG_VECTOR } },
     615                 :            :   { "StabCircleS", TAG_VECTOR, evaluate::stab_circle_s_d, 2,
     616                 :            :     { TAG_MATVEC, TAG_DOUBLE } },
     617                 :            :   { "StabCircleS", TAG_VECTOR, evaluate::stab_circle_s, 1, { TAG_MATVEC } },
     618                 :            :   { "GaCircle", TAG_VECTOR, evaluate::ga_circle_d_v, 3,
     619                 :            :     { TAG_MATVEC, TAG_DOUBLE, TAG_VECTOR } },
     620                 :            :   { "GaCircle", TAG_VECTOR, evaluate::ga_circle_d_d, 3,
     621                 :            :     { TAG_MATVEC, TAG_DOUBLE, TAG_DOUBLE } },
     622                 :            :   { "GaCircle", TAG_VECTOR, evaluate::ga_circle_d, 2,
     623                 :            :     { TAG_MATVEC, TAG_DOUBLE } },
     624                 :            :   { "GaCircle", TAG_VECTOR, evaluate::ga_circle_v_v, 3,
     625                 :            :     { TAG_MATVEC, TAG_VECTOR, TAG_VECTOR } },
     626                 :            :   { "GaCircle", TAG_VECTOR, evaluate::ga_circle_v_d, 3,
     627                 :            :     { TAG_MATVEC, TAG_VECTOR, TAG_DOUBLE } },
     628                 :            :   { "GaCircle", TAG_VECTOR, evaluate::ga_circle_v, 2,
     629                 :            :     { TAG_MATVEC, TAG_VECTOR } },
     630                 :            :   { "GpCircle", TAG_VECTOR, evaluate::gp_circle_d_v, 3,
     631                 :            :     { TAG_MATVEC, TAG_DOUBLE, TAG_VECTOR } },
     632                 :            :   { "GpCircle", TAG_VECTOR, evaluate::gp_circle_d_d, 3,
     633                 :            :     { TAG_MATVEC, TAG_DOUBLE, TAG_DOUBLE } },
     634                 :            :   { "GpCircle", TAG_VECTOR, evaluate::gp_circle_d, 2,
     635                 :            :     { TAG_MATVEC, TAG_DOUBLE } },
     636                 :            :   { "GpCircle", TAG_VECTOR, evaluate::gp_circle_v_v, 3,
     637                 :            :     { TAG_MATVEC, TAG_VECTOR, TAG_VECTOR } },
     638                 :            :   { "GpCircle", TAG_VECTOR, evaluate::gp_circle_v_d, 3,
     639                 :            :     { TAG_MATVEC, TAG_VECTOR, TAG_DOUBLE } },
     640                 :            :   { "GpCircle", TAG_VECTOR, evaluate::gp_circle_v, 2,
     641                 :            :     { TAG_MATVEC, TAG_VECTOR } },
     642                 :            :   { "PlotVs", TAG_VECTOR, evaluate::plot_vs_v, 2,
     643                 :            :     { TAG_VECTOR, TAG_VECTOR } },
     644                 :            :   { "PlotVs", TAG_VECTOR, evaluate::plot_vs_v, 3,
     645                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR } },
     646                 :            :   { "PlotVs", TAG_VECTOR, evaluate::plot_vs_v, 4,
     647                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR } },
     648                 :            :   { "PlotVs", TAG_VECTOR, evaluate::plot_vs_v, 5,
     649                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR } },
     650                 :            :   { "PlotVs", TAG_MATVEC, evaluate::plot_vs_mv, 2,
     651                 :            :     { TAG_MATVEC, TAG_VECTOR } },
     652                 :            :   { "PlotVs", TAG_MATVEC, evaluate::plot_vs_mv, 3,
     653                 :            :     { TAG_MATVEC, TAG_VECTOR, TAG_VECTOR } },
     654                 :            :   { "PlotVs", TAG_MATVEC, evaluate::plot_vs_mv, 4,
     655                 :            :     { TAG_MATVEC, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR } },
     656                 :            :   { "PlotVs", TAG_MATVEC, evaluate::plot_vs_mv, 5,
     657                 :            :     { TAG_MATVEC, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR, TAG_VECTOR } },
     658                 :            : 
     659                 :            :   { "interpolate", TAG_VECTOR, evaluate::interpolate_v_v_d, 3,
     660                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_DOUBLE } },
     661                 :            :   { "interpolate", TAG_VECTOR, evaluate::interpolate_v_v, 2,
     662                 :            :     { TAG_VECTOR, TAG_VECTOR } },
     663                 :            : 
     664                 :            :   { "fft",  TAG_VECTOR, evaluate::fft_v,  1, { TAG_VECTOR } },
     665                 :            :   { "ifft", TAG_VECTOR, evaluate::ifft_v, 1, { TAG_VECTOR } },
     666                 :            :   { "dft",  TAG_VECTOR, evaluate::dft_v,  1, { TAG_VECTOR } },
     667                 :            :   { "idft", TAG_VECTOR, evaluate::idft_v, 1, { TAG_VECTOR } },
     668                 :            : 
     669                 :            :   { "Time2Freq", TAG_VECTOR, evaluate::time2freq_v_v, 2,
     670                 :            :     { TAG_VECTOR, TAG_VECTOR } },
     671                 :            :   { "Freq2Time", TAG_VECTOR, evaluate::freq2time_v_v, 2,
     672                 :            :     { TAG_VECTOR, TAG_VECTOR } },
     673                 :            :   { "receiver",  TAG_VECTOR, evaluate::receiver_v_v,  2,
     674                 :            :     { TAG_VECTOR, TAG_VECTOR } },
     675                 :            :   { "receiver",  TAG_VECTOR, evaluate::receiver_v_v,  3,
     676                 :            :     { TAG_VECTOR, TAG_VECTOR, TAG_DOUBLE } },
     677                 :            :   { "fftshift",  TAG_VECTOR, evaluate::fftshift_v, 1, { TAG_VECTOR } },
     678                 :            : 
     679                 :            :   { "xvalue", TAG_COMPLEX, evaluate::xvalue_d, 2,
     680                 :            :     { TAG_VECTOR, TAG_DOUBLE } },
     681                 :            :   { "xvalue", TAG_COMPLEX, evaluate::xvalue_c, 2,
     682                 :            :     { TAG_VECTOR, TAG_COMPLEX } },
     683                 :            :   { "yvalue", TAG_COMPLEX, evaluate::yvalue_d, 2,
     684                 :            :     { TAG_VECTOR, TAG_DOUBLE } },
     685                 :            :   { "yvalue", TAG_COMPLEX, evaluate::yvalue_c, 2,
     686                 :            :     { TAG_VECTOR, TAG_COMPLEX } },
     687                 :            : 
     688                 :            :   { "range", TAG_RANGE, evaluate::range_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE } },
     689                 :            :   { "range", TAG_RANGE, evaluate::range_c_d, 2, { TAG_CHAR, TAG_DOUBLE } },
     690                 :            :   { "range", TAG_RANGE, evaluate::range_d_c, 2, { TAG_DOUBLE, TAG_CHAR } },
     691                 :            :   { "range", TAG_RANGE, evaluate::range_c_c, 2, { TAG_CHAR, TAG_CHAR } },
     692                 :            : 
     693                 :            :   { "ceil", TAG_DOUBLE,  evaluate::ceil_d, 1, { TAG_DOUBLE  } },
     694                 :            :   { "ceil", TAG_COMPLEX, evaluate::ceil_c, 1, { TAG_COMPLEX } },
     695                 :            :   { "ceil", TAG_VECTOR,  evaluate::ceil_v, 1, { TAG_VECTOR  } },
     696                 :            : 
     697                 :            :   { "fix", TAG_DOUBLE,  evaluate::fix_d, 1, { TAG_DOUBLE  } },
     698                 :            :   { "fix", TAG_COMPLEX, evaluate::fix_c, 1, { TAG_COMPLEX } },
     699                 :            :   { "fix", TAG_VECTOR,  evaluate::fix_v, 1, { TAG_VECTOR  } },
     700                 :            : 
     701                 :            :   { "step", TAG_DOUBLE,  evaluate::step_d, 1, { TAG_DOUBLE  } },
     702                 :            :   { "step", TAG_COMPLEX, evaluate::step_c, 1, { TAG_COMPLEX } },
     703                 :            :   { "step", TAG_VECTOR,  evaluate::step_v, 1, { TAG_VECTOR  } },
     704                 :            : 
     705                 :            :   { "floor", TAG_DOUBLE,  evaluate::floor_d, 1, { TAG_DOUBLE  } },
     706                 :            :   { "floor", TAG_COMPLEX, evaluate::floor_c, 1, { TAG_COMPLEX } },
     707                 :            :   { "floor", TAG_VECTOR,  evaluate::floor_v, 1, { TAG_VECTOR  } },
     708                 :            : 
     709                 :            :   { "round", TAG_DOUBLE,  evaluate::round_d, 1, { TAG_DOUBLE  } },
     710                 :            :   { "round", TAG_COMPLEX, evaluate::round_c, 1, { TAG_COMPLEX } },
     711                 :            :   { "round", TAG_VECTOR,  evaluate::round_v, 1, { TAG_VECTOR  } },
     712                 :            : 
     713                 :            :   { "erf", TAG_DOUBLE,  evaluate::erf_d, 1, { TAG_DOUBLE  } },
     714                 :            :   { "erf", TAG_COMPLEX, evaluate::erf_c, 1, { TAG_COMPLEX } },
     715                 :            :   { "erf", TAG_VECTOR,  evaluate::erf_v, 1, { TAG_VECTOR  } },
     716                 :            : 
     717                 :            :   { "erfc", TAG_DOUBLE,  evaluate::erfc_d, 1, { TAG_DOUBLE  } },
     718                 :            :   { "erfc", TAG_COMPLEX, evaluate::erfc_c, 1, { TAG_COMPLEX } },
     719                 :            :   { "erfc", TAG_VECTOR,  evaluate::erfc_v, 1, { TAG_VECTOR  } },
     720                 :            : 
     721                 :            :   { "erfinv", TAG_DOUBLE,  evaluate::erfinv_d, 1, { TAG_DOUBLE  } },
     722                 :            :   { "erfinv", TAG_COMPLEX, evaluate::erfinv_c, 1, { TAG_COMPLEX } },
     723                 :            :   { "erfinv", TAG_VECTOR,  evaluate::erfinv_v, 1, { TAG_VECTOR  } },
     724                 :            : 
     725                 :            :   { "erfcinv", TAG_DOUBLE,  evaluate::erfcinv_d, 1, { TAG_DOUBLE  } },
     726                 :            :   { "erfcinv", TAG_COMPLEX, evaluate::erfcinv_c, 1, { TAG_COMPLEX } },
     727                 :            :   { "erfcinv", TAG_VECTOR,  evaluate::erfcinv_v, 1, { TAG_VECTOR  } },
     728                 :            : 
     729                 :            :   { "cumsum", TAG_DOUBLE,  evaluate::cumsum_d, 1, { TAG_DOUBLE  } },
     730                 :            :   { "cumsum", TAG_COMPLEX, evaluate::cumsum_c, 1, { TAG_COMPLEX } },
     731                 :            :   { "cumsum", TAG_VECTOR,  evaluate::cumsum_v, 1, { TAG_VECTOR  } },
     732                 :            : 
     733                 :            :   { "cumavg", TAG_DOUBLE,  evaluate::cumavg_d, 1, { TAG_DOUBLE  } },
     734                 :            :   { "cumavg", TAG_COMPLEX, evaluate::cumavg_c, 1, { TAG_COMPLEX } },
     735                 :            :   { "cumavg", TAG_VECTOR,  evaluate::cumavg_v, 1, { TAG_VECTOR  } },
     736                 :            : 
     737                 :            :   { "cumprod", TAG_DOUBLE,  evaluate::cumprod_d, 1, { TAG_DOUBLE  } },
     738                 :            :   { "cumprod", TAG_COMPLEX, evaluate::cumprod_c, 1, { TAG_COMPLEX } },
     739                 :            :   { "cumprod", TAG_VECTOR,  evaluate::cumprod_v, 1, { TAG_VECTOR  } },
     740                 :            : 
     741                 :            :   { "rms", TAG_DOUBLE, evaluate::rms_d, 1, { TAG_DOUBLE  } },
     742                 :            :   { "rms", TAG_DOUBLE, evaluate::rms_c, 1, { TAG_COMPLEX } },
     743                 :            :   { "rms", TAG_DOUBLE, evaluate::rms_v, 1, { TAG_VECTOR  } },
     744                 :            : 
     745                 :            :   { "variance", TAG_DOUBLE, evaluate::variance_d, 1, { TAG_DOUBLE  } },
     746                 :            :   { "variance", TAG_DOUBLE, evaluate::variance_c, 1, { TAG_COMPLEX } },
     747                 :            :   { "variance", TAG_DOUBLE, evaluate::variance_v, 1, { TAG_VECTOR  } },
     748                 :            : 
     749                 :            :   { "stddev", TAG_DOUBLE, evaluate::stddev_d, 1, { TAG_DOUBLE  } },
     750                 :            :   { "stddev", TAG_DOUBLE, evaluate::stddev_c, 1, { TAG_COMPLEX } },
     751                 :            :   { "stddev", TAG_DOUBLE, evaluate::stddev_v, 1, { TAG_VECTOR  } },
     752                 :            : 
     753                 :            :   { "besseli0", TAG_DOUBLE,  evaluate::i0_d,  1, { TAG_DOUBLE  } },
     754                 :            :   { "besseli0", TAG_COMPLEX, evaluate::i0_c,  1, { TAG_COMPLEX } },
     755                 :            :   { "besseli0", TAG_VECTOR,  evaluate::i0_v,  1, { TAG_VECTOR  } },
     756                 :            : 
     757                 :            :   { "besselj", TAG_DOUBLE,  evaluate::jn_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE  } },
     758                 :            :   { "besselj", TAG_COMPLEX, evaluate::jn_d_c, 2, { TAG_DOUBLE, TAG_COMPLEX } },
     759                 :            :   { "besselj", TAG_VECTOR,  evaluate::jn_d_v, 2, { TAG_DOUBLE, TAG_VECTOR  } },
     760                 :            :   { "bessely", TAG_DOUBLE,  evaluate::yn_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE  } },
     761                 :            :   { "bessely", TAG_COMPLEX, evaluate::yn_d_c, 2, { TAG_DOUBLE, TAG_COMPLEX } },
     762                 :            :   { "bessely", TAG_VECTOR,  evaluate::yn_d_v, 2, { TAG_DOUBLE, TAG_VECTOR  } },
     763                 :            : 
     764                 :            :   { "sqr", TAG_DOUBLE,  evaluate::sqr_d,  1, { TAG_DOUBLE  } },
     765                 :            :   { "sqr", TAG_COMPLEX, evaluate::sqr_c,  1, { TAG_COMPLEX } },
     766                 :            :   { "sqr", TAG_VECTOR,  evaluate::sqr_v,  1, { TAG_VECTOR  } },
     767                 :            :   { "sqr", TAG_MATRIX,  evaluate::sqr_m,  1, { TAG_MATRIX  } },
     768                 :            :   { "sqr", TAG_MATVEC,  evaluate::sqr_mv, 1, { TAG_MATVEC  } },
     769                 :            : 
     770                 :            :   { "polar", TAG_COMPLEX, evaluate::polar_d_d, 2,
     771                 :            :     { TAG_DOUBLE, TAG_DOUBLE } },
     772                 :            :   { "polar", TAG_COMPLEX, evaluate::polar_d_c, 2,
     773                 :            :     { TAG_DOUBLE, TAG_COMPLEX } },
     774                 :            :   { "polar", TAG_COMPLEX, evaluate::polar_c_d, 2,
     775                 :            :     { TAG_COMPLEX, TAG_DOUBLE } },
     776                 :            :   { "polar", TAG_COMPLEX, evaluate::polar_c_c, 2,
     777                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
     778                 :            :   { "polar", TAG_VECTOR,  evaluate::polar_d_v, 2,
     779                 :            :     { TAG_DOUBLE, TAG_VECTOR } },
     780                 :            :   { "polar", TAG_VECTOR,  evaluate::polar_c_v, 2,
     781                 :            :     { TAG_COMPLEX, TAG_VECTOR } },
     782                 :            :   { "polar", TAG_VECTOR,  evaluate::polar_v_d, 2,
     783                 :            :     { TAG_VECTOR, TAG_DOUBLE } },
     784                 :            :   { "polar", TAG_VECTOR,  evaluate::polar_v_c, 2,
     785                 :            :     { TAG_VECTOR, TAG_COMPLEX } },
     786                 :            :   { "polar", TAG_VECTOR,  evaluate::polar_v_v, 2,
     787                 :            :     { TAG_VECTOR, TAG_VECTOR } },
     788                 :            : 
     789                 :            :   { "arctan", TAG_COMPLEX, evaluate::arctan2_d_d, 2,
     790                 :            :     { TAG_DOUBLE, TAG_DOUBLE } },
     791                 :            :   { "arctan", TAG_VECTOR,  evaluate::arctan2_d_v, 2,
     792                 :            :     { TAG_DOUBLE, TAG_VECTOR } },
     793                 :            :   { "arctan", TAG_VECTOR,  evaluate::arctan2_v_d, 2,
     794                 :            :     { TAG_VECTOR, TAG_DOUBLE } },
     795                 :            :   { "arctan", TAG_VECTOR,  evaluate::arctan2_v_v, 2,
     796                 :            :     { TAG_VECTOR, TAG_VECTOR } },
     797                 :            : 
     798                 :            :   { "dbm2w", TAG_DOUBLE,  evaluate::dbm2w_d, 1, { TAG_DOUBLE  } },
     799                 :            :   { "dbm2w", TAG_COMPLEX, evaluate::dbm2w_c, 1, { TAG_COMPLEX } },
     800                 :            :   { "dbm2w", TAG_VECTOR,  evaluate::dbm2w_v, 1, { TAG_VECTOR  } },
     801                 :            : 
     802                 :            :   { "w2dbm", TAG_DOUBLE,  evaluate::w2dbm_d, 1, { TAG_DOUBLE  } },
     803                 :            :   { "w2dbm", TAG_COMPLEX, evaluate::w2dbm_c, 1, { TAG_COMPLEX } },
     804                 :            :   { "w2dbm", TAG_VECTOR,  evaluate::w2dbm_v, 1, { TAG_VECTOR  } },
     805                 :            : 
     806                 :            :   { "integrate", TAG_DOUBLE,  evaluate::integrate_d_d, 2,
     807                 :            :     { TAG_DOUBLE, TAG_DOUBLE   } },
     808                 :            :   { "integrate", TAG_COMPLEX, evaluate::integrate_c_c, 2,
     809                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
     810                 :            :   { "integrate", TAG_DOUBLE,  evaluate::integrate_v_d, 2,
     811                 :            :     { TAG_VECTOR, TAG_DOUBLE   } },
     812                 :            :   { "integrate", TAG_COMPLEX, evaluate::integrate_v_c, 2,
     813                 :            :     { TAG_VECTOR, TAG_COMPLEX  } },
     814                 :            : 
     815                 :            :   { "dbm", TAG_DOUBLE,  evaluate::dbm_d,   1, { TAG_DOUBLE  } },
     816                 :            :   { "dbm", TAG_DOUBLE,  evaluate::dbm_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
     817                 :            :   { "dbm", TAG_COMPLEX, evaluate::dbm_c,   1, { TAG_COMPLEX } },
     818                 :            :   { "dbm", TAG_DOUBLE,  evaluate::dbm_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
     819                 :            :   { "dbm", TAG_VECTOR,  evaluate::dbm_v,   1, { TAG_VECTOR  } },
     820                 :            :   { "dbm", TAG_VECTOR,  evaluate::dbm_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
     821                 :            :   { "dbm", TAG_COMPLEX, evaluate::dbm_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
     822                 :            :   { "dbm", TAG_COMPLEX, evaluate::dbm_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     823                 :            :   { "dbm", TAG_VECTOR,  evaluate::dbm_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
     824                 :            : 
     825                 :            :   { "runavg", TAG_VECTOR, evaluate::runavg_d_d, 2,
     826                 :            :     { TAG_DOUBLE,  TAG_DOUBLE } },
     827                 :            :   { "runavg", TAG_VECTOR, evaluate::runavg_c_d, 2,
     828                 :            :     { TAG_COMPLEX, TAG_DOUBLE } },
     829                 :            :   { "runavg", TAG_VECTOR, evaluate::runavg_v_d, 2,
     830                 :            :     { TAG_VECTOR,  TAG_DOUBLE } },
     831                 :            : 
     832                 :            :   { "vt", TAG_DOUBLE,  evaluate::vt_d, 1, { TAG_DOUBLE  } },
     833                 :            :   { "vt", TAG_COMPLEX, evaluate::vt_c, 1, { TAG_COMPLEX } },
     834                 :            :   { "vt", TAG_VECTOR,  evaluate::vt_v, 1, { TAG_VECTOR  } },
     835                 :            : 
     836                 :            :   { "kbd", TAG_VECTOR, evaluate::kbd_d_d, 2, { TAG_DOUBLE, TAG_DOUBLE } },
     837                 :            :   { "kbd", TAG_VECTOR, evaluate::kbd_d,   1, { TAG_DOUBLE } },
     838                 :            : 
     839                 :            :   { "?:", TAG_BOOLEAN, evaluate::ifthenelse_b_b, 3,
     840                 :            :     { TAG_BOOLEAN, TAG_BOOLEAN, TAG_BOOLEAN } },
     841                 :            :   { "?:", TAG_DOUBLE,  evaluate::ifthenelse_d_d, 3,
     842                 :            :     { TAG_BOOLEAN, TAG_DOUBLE,  TAG_DOUBLE } },
     843                 :            :   { "?:", TAG_DOUBLE,  evaluate::ifthenelse_d_b, 3,
     844                 :            :     { TAG_BOOLEAN, TAG_DOUBLE,  TAG_BOOLEAN } },
     845                 :            :   { "?:", TAG_DOUBLE,  evaluate::ifthenelse_b_d, 3,
     846                 :            :     { TAG_BOOLEAN, TAG_BOOLEAN, TAG_DOUBLE } },
     847                 :            :   { "?:", TAG_COMPLEX, evaluate::ifthenelse_c_c, 3,
     848                 :            :     { TAG_BOOLEAN, TAG_DOUBLE,  TAG_COMPLEX } },
     849                 :            :   { "?:", TAG_COMPLEX, evaluate::ifthenelse_c_c, 3,
     850                 :            :     { TAG_BOOLEAN, TAG_BOOLEAN, TAG_COMPLEX } },
     851                 :            :   { "?:", TAG_COMPLEX, evaluate::ifthenelse_c_c, 3,
     852                 :            :     { TAG_BOOLEAN, TAG_COMPLEX, TAG_DOUBLE } },
     853                 :            :   { "?:", TAG_COMPLEX, evaluate::ifthenelse_c_c, 3,
     854                 :            :     { TAG_BOOLEAN, TAG_COMPLEX, TAG_BOOLEAN } },
     855                 :            :   { "?:", TAG_COMPLEX, evaluate::ifthenelse_c_c, 3,
     856                 :            :     { TAG_BOOLEAN, TAG_COMPLEX, TAG_COMPLEX } },
     857                 :            :   { "?:", TAG_MATRIX,  evaluate::ifthenelse_m_m, 3,
     858                 :            :     { TAG_BOOLEAN, TAG_MATRIX,  TAG_MATRIX } },
     859                 :            :   { "?:", TAG_MATRIX,  evaluate::ifthenelse_m_m, 3,
     860                 :            :     { TAG_BOOLEAN, TAG_BOOLEAN, TAG_MATRIX } },
     861                 :            :   { "?:", TAG_MATRIX,  evaluate::ifthenelse_m_m, 3,
     862                 :            :     { TAG_BOOLEAN, TAG_DOUBLE,  TAG_MATRIX } },
     863                 :            :   { "?:", TAG_MATRIX,  evaluate::ifthenelse_m_m, 3,
     864                 :            :     { TAG_BOOLEAN, TAG_COMPLEX, TAG_MATRIX } },
     865                 :            :   { "?:", TAG_MATRIX,  evaluate::ifthenelse_m_m, 3,
     866                 :            :     { TAG_BOOLEAN, TAG_MATRIX,  TAG_BOOLEAN } },
     867                 :            :   { "?:", TAG_MATRIX,  evaluate::ifthenelse_m_m, 3,
     868                 :            :     { TAG_BOOLEAN, TAG_MATRIX,  TAG_DOUBLE } },
     869                 :            :   { "?:", TAG_MATRIX,  evaluate::ifthenelse_m_m, 3,
     870                 :            :     { TAG_BOOLEAN, TAG_MATRIX,  TAG_COMPLEX } },
     871                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v, 3,
     872                 :            :     { TAG_BOOLEAN, TAG_VECTOR,  TAG_VECTOR } },
     873                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v, 3,
     874                 :            :     { TAG_BOOLEAN, TAG_BOOLEAN, TAG_VECTOR } },
     875                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v, 3,
     876                 :            :     { TAG_BOOLEAN, TAG_DOUBLE,  TAG_VECTOR } },
     877                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v, 3,
     878                 :            :     { TAG_BOOLEAN, TAG_COMPLEX, TAG_VECTOR } },
     879                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v, 3,
     880                 :            :     { TAG_BOOLEAN, TAG_VECTOR,  TAG_BOOLEAN } },
     881                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v, 3,
     882                 :            :     { TAG_BOOLEAN, TAG_VECTOR,  TAG_DOUBLE } },
     883                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v, 3,
     884                 :            :     { TAG_BOOLEAN, TAG_VECTOR,  TAG_COMPLEX } },
     885                 :            : 
     886                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     887                 :            :     { TAG_VECTOR, TAG_VECTOR,  TAG_VECTOR } },
     888                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     889                 :            :     { TAG_VECTOR, TAG_BOOLEAN, TAG_VECTOR } },
     890                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     891                 :            :     { TAG_VECTOR, TAG_DOUBLE,  TAG_VECTOR } },
     892                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     893                 :            :     { TAG_VECTOR, TAG_COMPLEX, TAG_VECTOR } },
     894                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     895                 :            :     { TAG_VECTOR, TAG_BOOLEAN, TAG_BOOLEAN } },
     896                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     897                 :            :     { TAG_VECTOR, TAG_DOUBLE,  TAG_BOOLEAN } },
     898                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     899                 :            :     { TAG_VECTOR, TAG_COMPLEX, TAG_BOOLEAN } },
     900                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     901                 :            :     { TAG_VECTOR, TAG_VECTOR,  TAG_BOOLEAN } },
     902                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     903                 :            :     { TAG_VECTOR, TAG_BOOLEAN, TAG_DOUBLE } },
     904                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     905                 :            :     { TAG_VECTOR, TAG_DOUBLE,  TAG_DOUBLE } },
     906                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     907                 :            :     { TAG_VECTOR, TAG_COMPLEX, TAG_DOUBLE } },
     908                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     909                 :            :     { TAG_VECTOR, TAG_VECTOR,  TAG_DOUBLE } },
     910                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     911                 :            :     { TAG_VECTOR, TAG_BOOLEAN, TAG_COMPLEX } },
     912                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     913                 :            :     { TAG_VECTOR, TAG_DOUBLE,  TAG_COMPLEX } },
     914                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     915                 :            :     { TAG_VECTOR, TAG_COMPLEX, TAG_COMPLEX } },
     916                 :            :   { "?:", TAG_VECTOR,  evaluate::ifthenelse_v_v_v, 3,
     917                 :            :     { TAG_VECTOR, TAG_VECTOR,  TAG_COMPLEX } },
     918                 :            : 
     919                 :            :   { "<=", TAG_BOOLEAN, evaluate::lessorequal_d_d, 2,
     920                 :            :     { TAG_DOUBLE, TAG_DOUBLE } },
     921                 :            :   { "<=", TAG_BOOLEAN, evaluate::lessorequal_d_c, 2,
     922                 :            :     { TAG_DOUBLE,  TAG_COMPLEX } },
     923                 :            :   { "<=", TAG_VECTOR,  evaluate::lessorequal_d_v, 2,
     924                 :            :     { TAG_DOUBLE,  TAG_VECTOR  } },
     925                 :            :   { "<=", TAG_BOOLEAN, evaluate::lessorequal_c_d, 2,
     926                 :            :     { TAG_COMPLEX, TAG_DOUBLE  } },
     927                 :            :   { "<=", TAG_BOOLEAN, evaluate::lessorequal_c_c, 2,
     928                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
     929                 :            :   { "<=", TAG_VECTOR,  evaluate::lessorequal_c_v, 2,
     930                 :            :     { TAG_COMPLEX, TAG_VECTOR  } },
     931                 :            :   { "<=", TAG_VECTOR,  evaluate::lessorequal_v_d, 2,
     932                 :            :     { TAG_VECTOR,  TAG_DOUBLE  } },
     933                 :            :   { "<=", TAG_VECTOR,  evaluate::lessorequal_v_c, 2,
     934                 :            :     { TAG_VECTOR,  TAG_COMPLEX } },
     935                 :            :   { "<=", TAG_VECTOR,  evaluate::lessorequal_v_v, 2,
     936                 :            :     { TAG_VECTOR,  TAG_VECTOR  } },
     937                 :            : 
     938                 :            :   { ">=", TAG_BOOLEAN, evaluate::greaterorequal_d_d, 2,
     939                 :            :     { TAG_DOUBLE, TAG_DOUBLE } },
     940                 :            :   { ">=", TAG_BOOLEAN, evaluate::greaterorequal_d_c, 2,
     941                 :            :     { TAG_DOUBLE,  TAG_COMPLEX } },
     942                 :            :   { ">=", TAG_VECTOR,  evaluate::greaterorequal_d_v, 2,
     943                 :            :     { TAG_DOUBLE,  TAG_VECTOR  } },
     944                 :            :   { ">=", TAG_BOOLEAN, evaluate::greaterorequal_c_d, 2,
     945                 :            :     { TAG_COMPLEX, TAG_DOUBLE  } },
     946                 :            :   { ">=", TAG_BOOLEAN, evaluate::greaterorequal_c_c, 2,
     947                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
     948                 :            :   { ">=", TAG_VECTOR,  evaluate::greaterorequal_c_v, 2,
     949                 :            :     { TAG_COMPLEX, TAG_VECTOR  } },
     950                 :            :   { ">=", TAG_VECTOR,  evaluate::greaterorequal_v_d, 2,
     951                 :            :     { TAG_VECTOR,  TAG_DOUBLE  } },
     952                 :            :   { ">=", TAG_VECTOR,  evaluate::greaterorequal_v_c, 2,
     953                 :            :     { TAG_VECTOR,  TAG_COMPLEX } },
     954                 :            :   { ">=", TAG_VECTOR,  evaluate::greaterorequal_v_v, 2,
     955                 :            :     { TAG_VECTOR,  TAG_VECTOR  } },
     956                 :            : 
     957                 :            :   { "<",  TAG_BOOLEAN, evaluate::less_d_d, 2, { TAG_DOUBLE,  TAG_DOUBLE  } },
     958                 :            :   { "<",  TAG_BOOLEAN, evaluate::less_d_c, 2, { TAG_DOUBLE,  TAG_COMPLEX } },
     959                 :            :   { "<",  TAG_VECTOR,  evaluate::less_d_v, 2, { TAG_DOUBLE,  TAG_VECTOR  } },
     960                 :            :   { "<",  TAG_BOOLEAN, evaluate::less_c_d, 2, { TAG_COMPLEX, TAG_DOUBLE  } },
     961                 :            :   { "<",  TAG_BOOLEAN, evaluate::less_c_c, 2, { TAG_COMPLEX, TAG_COMPLEX } },
     962                 :            :   { "<",  TAG_VECTOR,  evaluate::less_c_v, 2, { TAG_COMPLEX, TAG_VECTOR  } },
     963                 :            :   { "<",  TAG_VECTOR,  evaluate::less_v_d, 2, { TAG_VECTOR,  TAG_DOUBLE  } },
     964                 :            :   { "<",  TAG_VECTOR,  evaluate::less_v_c, 2, { TAG_VECTOR,  TAG_COMPLEX } },
     965                 :            :   { "<",  TAG_VECTOR,  evaluate::less_v_v, 2, { TAG_VECTOR,  TAG_VECTOR  } },
     966                 :            : 
     967                 :            :   { ">",  TAG_BOOLEAN, evaluate::greater_d_d, 2,
     968                 :            :     { TAG_DOUBLE, TAG_DOUBLE } },
     969                 :            :   { ">",  TAG_BOOLEAN, evaluate::greater_d_c, 2,
     970                 :            :     { TAG_DOUBLE,  TAG_COMPLEX } },
     971                 :            :   { ">",  TAG_VECTOR,  evaluate::greater_d_v, 2,
     972                 :            :     { TAG_DOUBLE,  TAG_VECTOR  } },
     973                 :            :   { ">",  TAG_BOOLEAN, evaluate::greater_c_d, 2,
     974                 :            :     { TAG_COMPLEX, TAG_DOUBLE  } },
     975                 :            :   { ">",  TAG_BOOLEAN, evaluate::greater_c_c, 2,
     976                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
     977                 :            :   { ">",  TAG_VECTOR,  evaluate::greater_c_v, 2,
     978                 :            :     { TAG_COMPLEX, TAG_VECTOR  } },
     979                 :            :   { ">",  TAG_VECTOR,  evaluate::greater_v_d, 2,
     980                 :            :     { TAG_VECTOR,  TAG_DOUBLE  } },
     981                 :            :   { ">",  TAG_VECTOR,  evaluate::greater_v_c, 2,
     982                 :            :     { TAG_VECTOR,  TAG_COMPLEX } },
     983                 :            :   { ">",  TAG_VECTOR,  evaluate::greater_v_v, 2,
     984                 :            :     { TAG_VECTOR,  TAG_VECTOR  } },
     985                 :            : 
     986                 :            :   { "==", TAG_BOOLEAN, evaluate::equal_d_d, 2,
     987                 :            :     { TAG_DOUBLE, TAG_DOUBLE } },
     988                 :            :   { "==", TAG_BOOLEAN, evaluate::equal_d_c, 2,
     989                 :            :     { TAG_DOUBLE, TAG_COMPLEX } },
     990                 :            :   { "==", TAG_BOOLEAN, evaluate::equal_d_v, 2,
     991                 :            :     { TAG_DOUBLE, TAG_VECTOR } },
     992                 :            :   { "==",  TAG_BOOLEAN, evaluate::equal_c_d, 2,
     993                 :            :     { TAG_COMPLEX, TAG_DOUBLE  } },
     994                 :            :   { "==",  TAG_BOOLEAN, evaluate::equal_c_c, 2,
     995                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
     996                 :            :   { "==",  TAG_VECTOR,  evaluate::equal_c_v, 2,
     997                 :            :     { TAG_COMPLEX, TAG_VECTOR  } },
     998                 :            :   { "==",  TAG_VECTOR,  evaluate::equal_v_d, 2,
     999                 :            :     { TAG_VECTOR,  TAG_DOUBLE  } },
    1000                 :            :   { "==",  TAG_VECTOR,  evaluate::equal_v_c, 2,
    1001                 :            :     { TAG_VECTOR,  TAG_COMPLEX } },
    1002                 :            :   { "==",  TAG_VECTOR,  evaluate::equal_v_v, 2,
    1003                 :            :     { TAG_VECTOR,  TAG_VECTOR  } },
    1004                 :            : 
    1005                 :            :   { "!=", TAG_BOOLEAN, evaluate::notequal_d_d, 2,
    1006                 :            :     { TAG_DOUBLE, TAG_DOUBLE } },
    1007                 :            :   { "!=", TAG_BOOLEAN, evaluate::notequal_d_c, 2,
    1008                 :            :     { TAG_DOUBLE, TAG_COMPLEX } },
    1009                 :            :   { "!=", TAG_BOOLEAN, evaluate::notequal_d_v, 2,
    1010                 :            :     { TAG_DOUBLE, TAG_VECTOR } },
    1011                 :            :   { "!=",  TAG_BOOLEAN, evaluate::notequal_c_d, 2,
    1012                 :            :     { TAG_COMPLEX, TAG_DOUBLE  } },
    1013                 :            :   { "!=",  TAG_BOOLEAN, evaluate::notequal_c_c, 2,
    1014                 :            :     { TAG_COMPLEX, TAG_COMPLEX } },
    1015                 :            :   { "!=",  TAG_VECTOR,  evaluate::notequal_c_v, 2,
    1016                 :            :     { TAG_COMPLEX, TAG_VECTOR  } },
    1017                 :            :   { "!=",  TAG_VECTOR,  evaluate::notequal_v_d, 2,
    1018                 :            :     { TAG_VECTOR,  TAG_DOUBLE  } },
    1019                 :            :   { "!=",  TAG_VECTOR,  evaluate::notequal_v_c, 2,
    1020                 :            :     { TAG_VECTOR,  TAG_COMPLEX } },
    1021                 :            :   { "!=",  TAG_VECTOR,  evaluate::notequal_v_v, 2,
    1022                 :            :     { TAG_VECTOR,  TAG_VECTOR  } },
    1023                 :            : 
    1024                 :            :   { "!",  TAG_BOOLEAN, evaluate::not_b, 1,   { TAG_BOOLEAN } },
    1025                 :            :   { "||", TAG_BOOLEAN, evaluate::or_b_b, 2,  { TAG_BOOLEAN, TAG_BOOLEAN } },
    1026                 :            :   { "&&", TAG_BOOLEAN, evaluate::and_b_b, 2, { TAG_BOOLEAN, TAG_BOOLEAN } },
    1027                 :            :   { "==", TAG_BOOLEAN, evaluate::equal_b_b, 2,
    1028                 :            :     { TAG_BOOLEAN, TAG_BOOLEAN } },
    1029                 :            :   { "!=", TAG_BOOLEAN, evaluate::notequal_b_b, 2,
    1030                 :            :     { TAG_BOOLEAN, TAG_BOOLEAN } },
    1031                 :            : 
    1032                 :            :   { "random",  TAG_DOUBLE, evaluate::rand,    0, { TAG_UNKNOWN } },
    1033                 :            :   { "srandom", TAG_DOUBLE, evaluate::srand_d, 1, { TAG_DOUBLE  } },
    1034                 :            : 
    1035                 :            :   { "vector", TAG_VECTOR, evaluate::vector_x, -1, { TAG_UNKNOWN } },
    1036                 :            :   { "matrix", TAG_MATRIX, evaluate::matrix_x, -1, { TAG_UNKNOWN } },
    1037                 :            : 
    1038                 :            :   { "assert",  TAG_BOOLEAN, evaluate::assert_b, 1,   { TAG_BOOLEAN } },
    1039                 :            :   { "assert",  TAG_BOOLEAN, evaluate::assert_d, 1,   { TAG_DOUBLE } },
    1040                 :            :   { "assert",  TAG_BOOLEAN, evaluate::assert_v, 1,   { TAG_VECTOR } },
    1041                 :            : 
    1042                 :            :   { "bugon",  TAG_BOOLEAN, evaluate::bugon_b, 1,   { TAG_BOOLEAN } },
    1043                 :            :   { "bugon",  TAG_BOOLEAN, evaluate::bugon_d, 1,   { TAG_DOUBLE } },
    1044                 :            :   { "bugon",  TAG_BOOLEAN, evaluate::bugon_v, 1,   { TAG_VECTOR } },
    1045                 :            : 
    1046                 :            :   { NULL, 0, NULL, 0, { 0 } /* end of list */ }
    1047                 :            : };
    1048                 :            : 
    1049                 :            : // Converts a TAG_XXX value into a unique string.
    1050                 :       1680 : const char * checker::tag2key (int tag) {
    1051                 :       1680 :   const char * key = "";
    1052         [ -  + ]:       1680 :   if (tag == TAG_RANGE)
    1053                 :          0 :     key = "R";
    1054   [ -  +  -  -  :       1680 :   else switch (tag & ~TAG_RANGE) {
          +  +  -  +  -  
                   -  - ]
    1055                 :            :   case TAG_UNKNOWN:
    1056                 :          0 :     key = "U"; break;
    1057                 :            :   case TAG_DOUBLE:
    1058                 :       1271 :     key = "D"; break;
    1059                 :            :   case TAG_DOUBLE|TAG_COMPLEX:
    1060                 :          0 :     key = "D"; break;
    1061                 :            :   case TAG_BOOLEAN:
    1062                 :          0 :     key = "B"; break;
    1063                 :            :   case TAG_COMPLEX:
    1064                 :         32 :     key = "C"; break;
    1065                 :            :   case TAG_VECTOR:
    1066                 :        350 :     key = "V"; break;
    1067                 :            :   case TAG_MATRIX:
    1068                 :          0 :     key = "M"; break;
    1069                 :            :   case TAG_MATVEC:
    1070                 :         27 :     key = "MV"; break;
    1071                 :            :   case TAG_CHAR:
    1072                 :          0 :     key = "CHR"; break;
    1073                 :            :   case TAG_STRING:
    1074                 :          0 :     key = "STR"; break;
    1075                 :            :   }
    1076                 :       1680 :   return key;
    1077                 :            : }
    1078                 :            : 
    1079                 :            : #endif /* __APPLICATIONS_H__ */

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