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4514
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1 // N-D Array manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1996, 1997 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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24 #if defined (__GNUG__) && defined (USE_PRAGMA_INTERFACE_IMPLEMENTATION) |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #ifdef HAVE_CONFIG_H |
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29 #include <config.h> |
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30 #endif |
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31 |
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4687
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32 #include <cfloat> |
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4780
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33 #include <vector> |
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4687
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34 |
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4588
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35 #include "Array-util.h" |
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4514
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36 #include "CNDArray.h" |
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37 #include "mx-base.h" |
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4773
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38 #include "f77-fcn.h" |
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4514
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39 #include "lo-ieee.h" |
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4687
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40 #include "lo-mappers.h" |
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4514
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41 |
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4773
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42 #if defined (HAVE_FFTW3) |
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4780
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43 #include "oct-fftw.h" |
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4773
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44 #else |
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45 extern "C" |
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46 { |
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47 // Note that the original complex fft routines were not written for |
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48 // double complex arguments. They have been modified by adding an |
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49 // implicit double precision (a-h,o-z) statement at the beginning of |
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50 // each subroutine. |
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51 |
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52 F77_RET_T |
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53 F77_FUNC (cffti, CFFTI) (const int&, Complex*); |
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54 |
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55 F77_RET_T |
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56 F77_FUNC (cfftf, CFFTF) (const int&, Complex*, Complex*); |
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57 |
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58 F77_RET_T |
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59 F77_FUNC (cfftb, CFFTB) (const int&, Complex*, Complex*); |
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60 } |
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61 #endif |
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62 |
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63 #if defined (HAVE_FFTW3) |
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64 ComplexNDArray |
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65 ComplexNDArray::fourier (int dim) const |
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66 { |
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67 dim_vector dv = dims (); |
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68 |
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69 if (dim > dv.length () || dim < 0) |
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70 return ComplexNDArray (); |
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71 |
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72 int stride = 1; |
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73 int n = dv(dim); |
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74 |
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75 for (int i = 0; i < dim; i++) |
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76 stride *= dv(i); |
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77 |
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78 int howmany = numel () / dv (dim); |
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79 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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80 int nloop = (stride == 1 ? 1 : numel () / dv (dim) / stride); |
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81 int dist = (stride == 1 ? n : 1); |
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82 |
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83 const Complex *in (fortran_vec ()); |
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84 ComplexNDArray retval (dv); |
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85 Complex *out (retval.fortran_vec ()); |
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86 |
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87 // Need to be careful here about the distance between fft's |
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88 for (int k = 0; k < nloop; k++) |
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89 octave_fftw::fft (in + k * stride * n, out + k * stride * n, |
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90 n, howmany, stride, dist); |
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91 |
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92 return retval; |
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93 } |
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94 |
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95 ComplexNDArray |
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4816
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96 ComplexNDArray::ifourier (int dim) const |
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4773
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97 { |
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98 dim_vector dv = dims (); |
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99 |
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100 if (dim > dv.length () || dim < 0) |
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101 return ComplexNDArray (); |
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102 |
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103 int stride = 1; |
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104 int n = dv(dim); |
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105 |
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106 for (int i = 0; i < dim; i++) |
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107 stride *= dv(i); |
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108 |
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109 int howmany = numel () / dv (dim); |
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110 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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111 int nloop = (stride == 1 ? 1 : numel () / dv (dim) / stride); |
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112 int dist = (stride == 1 ? n : 1); |
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113 |
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114 const Complex *in (fortran_vec ()); |
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115 ComplexNDArray retval (dv); |
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116 Complex *out (retval.fortran_vec ()); |
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117 |
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118 // Need to be careful here about the distance between fft's |
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119 for (int k = 0; k < nloop; k++) |
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120 octave_fftw::ifft (in + k * stride * n, out + k * stride * n, |
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121 n, howmany, stride, dist); |
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122 |
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123 return retval; |
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124 } |
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125 |
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126 ComplexNDArray |
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127 ComplexNDArray::fourier2d (void) const |
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128 { |
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129 dim_vector dv = dims(); |
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130 if (dv.length () < 2) |
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131 return ComplexNDArray (); |
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132 |
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133 dim_vector dv2(dv(0), dv(1)); |
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134 const Complex *in = fortran_vec (); |
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135 ComplexNDArray retval (dv); |
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136 Complex *out = retval.fortran_vec (); |
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137 int howmany = numel() / dv(0) / dv(1); |
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138 int dist = dv(0) * dv(1); |
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139 |
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140 for (int i=0; i < howmany; i++) |
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141 octave_fftw::fftNd (in + i*dist, out + i*dist, 2, dv2); |
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142 |
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143 return retval; |
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144 } |
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145 |
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146 ComplexNDArray |
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147 ComplexNDArray::ifourier2d (void) const |
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148 { |
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149 dim_vector dv = dims(); |
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150 if (dv.length () < 2) |
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151 return ComplexNDArray (); |
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152 |
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153 dim_vector dv2(dv(0), dv(1)); |
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154 const Complex *in = fortran_vec (); |
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155 ComplexNDArray retval (dv); |
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156 Complex *out = retval.fortran_vec (); |
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157 int howmany = numel() / dv(0) / dv(1); |
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158 int dist = dv(0) * dv(1); |
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159 |
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160 for (int i=0; i < howmany; i++) |
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161 octave_fftw::ifftNd (in + i*dist, out + i*dist, 2, dv2); |
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162 |
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163 return retval; |
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164 } |
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165 |
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166 ComplexNDArray |
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167 ComplexNDArray::fourierNd (void) const |
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168 { |
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169 dim_vector dv = dims (); |
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170 int rank = dv.length (); |
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171 |
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172 const Complex *in (fortran_vec ()); |
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173 ComplexNDArray retval (dv); |
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174 Complex *out (retval.fortran_vec ()); |
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175 |
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176 octave_fftw::fftNd (in, out, rank, dv); |
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177 |
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178 return retval; |
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179 } |
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180 |
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181 ComplexNDArray |
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182 ComplexNDArray::ifourierNd (void) const |
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183 { |
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184 dim_vector dv = dims (); |
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185 int rank = dv.length (); |
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186 |
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187 const Complex *in (fortran_vec ()); |
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188 ComplexNDArray retval (dv); |
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189 Complex *out (retval.fortran_vec ()); |
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190 |
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191 octave_fftw::ifftNd (in, out, rank, dv); |
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192 |
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193 return retval; |
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194 } |
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195 |
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196 #else |
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197 ComplexNDArray |
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198 ComplexNDArray::fourier (int dim) const |
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199 { |
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200 dim_vector dv = dims (); |
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201 |
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202 if (dim > dv.length () || dim < 0) |
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203 return ComplexNDArray (); |
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204 |
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205 ComplexNDArray retval (dv); |
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206 int npts = dv(dim); |
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207 int nn = 4*npts+15; |
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208 Array<Complex> wsave (nn); |
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209 Complex *pwsave = wsave.fortran_vec (); |
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210 |
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211 OCTAVE_LOCAL_BUFFER (Complex, tmp, npts); |
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212 |
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213 int stride = 1; |
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214 |
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215 for (int i = 0; i < dim; i++) |
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216 stride *= dv(i); |
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217 |
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218 int howmany = numel () / npts; |
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219 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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220 int nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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221 int dist = (stride == 1 ? npts : 1); |
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222 |
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223 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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224 |
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225 for (int k = 0; k < nloop; k++) |
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226 { |
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227 for (int j = 0; j < howmany; j++) |
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228 { |
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229 OCTAVE_QUIT; |
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230 |
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231 for (int i = 0; i < npts; i++) |
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232 tmp[i] = elem((i + k*npts)*stride + j*dist); |
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233 |
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234 F77_FUNC (cfftf, CFFTF) (npts, tmp, pwsave); |
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235 |
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236 for (int i = 0; i < npts; i++) |
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237 retval ((i + k*npts)*stride + j*dist) = tmp[i]; |
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238 } |
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239 } |
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240 |
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241 return retval; |
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242 } |
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243 |
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244 ComplexNDArray |
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245 ComplexNDArray::ifourier (int dim) const |
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246 { |
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247 dim_vector dv = dims (); |
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248 |
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249 if (dim > dv.length () || dim < 0) |
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250 return ComplexNDArray (); |
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251 |
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252 ComplexNDArray retval (dv); |
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253 int npts = dv(dim); |
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254 int nn = 4*npts+15; |
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255 Array<Complex> wsave (nn); |
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256 Complex *pwsave = wsave.fortran_vec (); |
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257 |
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258 OCTAVE_LOCAL_BUFFER (Complex, tmp, npts); |
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259 |
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260 int stride = 1; |
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261 |
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262 for (int i = 0; i < dim; i++) |
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263 stride *= dv(i); |
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264 |
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265 int howmany = numel () / npts; |
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266 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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267 int nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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268 int dist = (stride == 1 ? npts : 1); |
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269 |
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270 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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271 |
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272 for (int k = 0; k < nloop; k++) |
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273 { |
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274 for (int j = 0; j < howmany; j++) |
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275 { |
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276 OCTAVE_QUIT; |
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277 |
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278 for (int i = 0; i < npts; i++) |
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279 tmp[i] = elem((i + k*npts)*stride + j*dist); |
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280 |
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281 F77_FUNC (cfftb, CFFTB) (npts, tmp, pwsave); |
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282 |
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283 for (int i = 0; i < npts; i++) |
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284 retval ((i + k*npts)*stride + j*dist) = tmp[i] / |
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285 static_cast<double> (npts); |
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286 } |
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287 } |
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288 |
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289 return retval; |
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290 } |
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291 |
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292 ComplexNDArray |
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293 ComplexNDArray::fourier2d (void) const |
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294 { |
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295 dim_vector dv = dims (); |
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296 dim_vector dv2 (dv(0), dv(1)); |
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297 int rank = 2; |
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298 ComplexNDArray retval (*this); |
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299 int stride = 1; |
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300 |
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301 for (int i = 0; i < rank; i++) |
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302 { |
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303 int npts = dv2(i); |
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304 int nn = 4*npts+15; |
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305 Array<Complex> wsave (nn); |
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306 Complex *pwsave = wsave.fortran_vec (); |
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307 Array<Complex> row (npts); |
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308 Complex *prow = row.fortran_vec (); |
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309 |
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310 int howmany = numel () / npts; |
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311 howmany = (stride == 1 ? howmany : |
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312 (howmany > stride ? stride : howmany)); |
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313 int nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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314 int dist = (stride == 1 ? npts : 1); |
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315 |
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316 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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317 |
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318 for (int k = 0; k < nloop; k++) |
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319 { |
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320 for (int j = 0; j < howmany; j++) |
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321 { |
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322 OCTAVE_QUIT; |
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323 |
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324 for (int l = 0; l < npts; l++) |
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325 prow[l] = retval ((l + k*npts)*stride + j*dist); |
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326 |
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327 F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave); |
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328 |
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329 for (int l = 0; l < npts; l++) |
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330 retval ((l + k*npts)*stride + j*dist) = prow[l]; |
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331 } |
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332 } |
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333 |
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334 stride *= dv2(i); |
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335 } |
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336 |
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337 return retval; |
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338 } |
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339 |
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340 ComplexNDArray |
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341 ComplexNDArray::ifourier2d (void) const |
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342 { |
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343 dim_vector dv = dims(); |
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344 dim_vector dv2 (dv(0), dv(1)); |
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345 int rank = 2; |
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346 ComplexNDArray retval (*this); |
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347 int stride = 1; |
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348 |
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349 for (int i = 0; i < rank; i++) |
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350 { |
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351 int npts = dv2(i); |
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352 int nn = 4*npts+15; |
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353 Array<Complex> wsave (nn); |
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354 Complex *pwsave = wsave.fortran_vec (); |
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355 Array<Complex> row (npts); |
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356 Complex *prow = row.fortran_vec (); |
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357 |
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358 int howmany = numel () / npts; |
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359 howmany = (stride == 1 ? howmany : |
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360 (howmany > stride ? stride : howmany)); |
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361 int nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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362 int dist = (stride == 1 ? npts : 1); |
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363 |
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364 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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365 |
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366 for (int k = 0; k < nloop; k++) |
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367 { |
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368 for (int j = 0; j < howmany; j++) |
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369 { |
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370 OCTAVE_QUIT; |
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371 |
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372 for (int l = 0; l < npts; l++) |
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373 prow[l] = retval ((l + k*npts)*stride + j*dist); |
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374 |
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375 F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave); |
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376 |
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377 for (int l = 0; l < npts; l++) |
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378 retval ((l + k*npts)*stride + j*dist) = prow[l] / |
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379 static_cast<double> (npts); |
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380 } |
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381 } |
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382 |
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383 stride *= dv2(i); |
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384 } |
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385 |
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386 return retval; |
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387 } |
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388 |
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389 ComplexNDArray |
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390 ComplexNDArray::fourierNd (void) const |
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391 { |
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392 dim_vector dv = dims (); |
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393 int rank = dv.length (); |
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394 ComplexNDArray retval (*this); |
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395 int stride = 1; |
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396 |
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397 for (int i = 0; i < rank; i++) |
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398 { |
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399 int npts = dv(i); |
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400 int nn = 4*npts+15; |
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401 Array<Complex> wsave (nn); |
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402 Complex *pwsave = wsave.fortran_vec (); |
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403 Array<Complex> row (npts); |
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404 Complex *prow = row.fortran_vec (); |
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405 |
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406 int howmany = numel () / npts; |
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407 howmany = (stride == 1 ? howmany : |
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408 (howmany > stride ? stride : howmany)); |
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409 int nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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410 int dist = (stride == 1 ? npts : 1); |
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411 |
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412 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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413 |
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414 for (int k = 0; k < nloop; k++) |
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415 { |
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416 for (int j = 0; j < howmany; j++) |
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417 { |
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418 OCTAVE_QUIT; |
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419 |
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420 for (int l = 0; l < npts; l++) |
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421 prow[l] = retval ((l + k*npts)*stride + j*dist); |
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422 |
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423 F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave); |
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424 |
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425 for (int l = 0; l < npts; l++) |
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426 retval ((l + k*npts)*stride + j*dist) = prow[l]; |
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427 } |
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428 } |
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429 |
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430 stride *= dv(i); |
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431 } |
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432 |
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433 return retval; |
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434 } |
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435 |
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436 ComplexNDArray |
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437 ComplexNDArray::ifourierNd (void) const |
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438 { |
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439 dim_vector dv = dims (); |
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440 int rank = dv.length (); |
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441 ComplexNDArray retval (*this); |
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442 int stride = 1; |
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443 |
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444 for (int i = 0; i < rank; i++) |
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445 { |
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446 int npts = dv(i); |
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447 int nn = 4*npts+15; |
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448 Array<Complex> wsave (nn); |
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449 Complex *pwsave = wsave.fortran_vec (); |
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450 Array<Complex> row (npts); |
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451 Complex *prow = row.fortran_vec (); |
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452 |
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453 int howmany = numel () / npts; |
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454 howmany = (stride == 1 ? howmany : |
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455 (howmany > stride ? stride : howmany)); |
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456 int nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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457 int dist = (stride == 1 ? npts : 1); |
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458 |
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459 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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460 |
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461 for (int k = 0; k < nloop; k++) |
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462 { |
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463 for (int j = 0; j < howmany; j++) |
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464 { |
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465 OCTAVE_QUIT; |
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466 |
|
|
467 for (int l = 0; l < npts; l++) |
|
|
468 prow[l] = retval ((l + k*npts)*stride + j*dist); |
|
|
469 |
|
|
470 F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave); |
|
|
471 |
|
|
472 for (int l = 0; l < npts; l++) |
|
|
473 retval ((l + k*npts)*stride + j*dist) = prow[l] / |
|
|
474 static_cast<double> (npts); |
|
|
475 } |
|
|
476 } |
|
|
477 |
|
|
478 stride *= dv(i); |
|
|
479 } |
|
|
480 |
|
|
481 return retval; |
|
|
482 } |
|
|
483 |
|
|
484 #endif |
|
|
485 |
|
4543
|
486 // unary operations |
|
|
487 |
|
|
488 boolNDArray |
|
|
489 ComplexNDArray::operator ! (void) const |
|
|
490 { |
|
|
491 boolNDArray b (dims ()); |
|
|
492 |
|
|
493 for (int i = 0; i < length (); i++) |
|
|
494 b.elem (i) = elem (i) != 0.0; |
|
|
495 |
|
|
496 return b; |
|
|
497 } |
|
|
498 |
|
4514
|
499 // XXX FIXME XXX -- this is not quite the right thing. |
|
|
500 |
|
4687
|
501 bool |
|
|
502 ComplexNDArray::any_element_is_inf_or_nan (void) const |
|
|
503 { |
|
|
504 int nel = nelem (); |
|
|
505 |
|
|
506 for (int i = 0; i < nel; i++) |
|
|
507 { |
|
|
508 Complex val = elem (i); |
|
|
509 if (xisinf (val) || xisnan (val)) |
|
|
510 return true; |
|
|
511 } |
|
|
512 return false; |
|
|
513 } |
|
|
514 |
|
|
515 // Return true if no elements have imaginary components. |
|
|
516 |
|
|
517 bool |
|
|
518 ComplexNDArray::all_elements_are_real (void) const |
|
|
519 { |
|
|
520 int nel = nelem (); |
|
|
521 |
|
|
522 for (int i = 0; i < nel; i++) |
|
|
523 { |
|
|
524 double ip = imag (elem (i)); |
|
|
525 |
|
|
526 if (ip != 0.0 || lo_ieee_signbit (ip)) |
|
|
527 return false; |
|
|
528 } |
|
|
529 |
|
|
530 return true; |
|
|
531 } |
|
|
532 |
|
|
533 // Return nonzero if any element of CM has a non-integer real or |
|
|
534 // imaginary part. Also extract the largest and smallest (real or |
|
|
535 // imaginary) values and return them in MAX_VAL and MIN_VAL. |
|
|
536 |
|
|
537 bool |
|
|
538 ComplexNDArray::all_integers (double& max_val, double& min_val) const |
|
|
539 { |
|
|
540 int nel = nelem (); |
|
|
541 |
|
|
542 if (nel > 0) |
|
|
543 { |
|
|
544 Complex val = elem (0); |
|
|
545 |
|
|
546 double r_val = real (val); |
|
|
547 double i_val = imag (val); |
|
|
548 |
|
|
549 max_val = r_val; |
|
|
550 min_val = r_val; |
|
|
551 |
|
|
552 if (i_val > max_val) |
|
|
553 max_val = i_val; |
|
|
554 |
|
|
555 if (i_val < max_val) |
|
|
556 min_val = i_val; |
|
|
557 } |
|
|
558 else |
|
|
559 return false; |
|
|
560 |
|
|
561 for (int i = 0; i < nel; i++) |
|
|
562 { |
|
|
563 Complex val = elem (i); |
|
|
564 |
|
|
565 double r_val = real (val); |
|
|
566 double i_val = imag (val); |
|
|
567 |
|
|
568 if (r_val > max_val) |
|
|
569 max_val = r_val; |
|
|
570 |
|
|
571 if (i_val > max_val) |
|
|
572 max_val = i_val; |
|
|
573 |
|
|
574 if (r_val < min_val) |
|
|
575 min_val = r_val; |
|
|
576 |
|
|
577 if (i_val < min_val) |
|
|
578 min_val = i_val; |
|
|
579 |
|
|
580 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
|
|
581 return false; |
|
|
582 } |
|
|
583 |
|
|
584 return true; |
|
|
585 } |
|
|
586 |
|
|
587 bool |
|
|
588 ComplexNDArray::too_large_for_float (void) const |
|
|
589 { |
|
|
590 int nel = nelem (); |
|
|
591 |
|
|
592 for (int i = 0; i < nel; i++) |
|
|
593 { |
|
|
594 Complex val = elem (i); |
|
|
595 |
|
|
596 double r_val = real (val); |
|
|
597 double i_val = imag (val); |
|
|
598 |
|
|
599 if (r_val > FLT_MAX |
|
|
600 || i_val > FLT_MAX |
|
|
601 || r_val < FLT_MIN |
|
|
602 || i_val < FLT_MIN) |
|
|
603 return true; |
|
|
604 } |
|
|
605 |
|
|
606 return false; |
|
|
607 } |
|
|
608 |
|
4556
|
609 boolNDArray |
|
4514
|
610 ComplexNDArray::all (int dim) const |
|
|
611 { |
|
4569
|
612 MX_ND_ANY_ALL_REDUCTION |
|
|
613 (MX_ND_ALL_EVAL (elem (iter_idx) == Complex (0, 0)), true); |
|
4514
|
614 } |
|
|
615 |
|
4556
|
616 boolNDArray |
|
4514
|
617 ComplexNDArray::any (int dim) const |
|
|
618 { |
|
4569
|
619 MX_ND_ANY_ALL_REDUCTION |
|
|
620 (MX_ND_ANY_EVAL (elem (iter_idx) != Complex (0, 0)), false); |
|
|
621 } |
|
|
622 |
|
4584
|
623 ComplexNDArray |
|
4569
|
624 ComplexNDArray::cumprod (int dim) const |
|
|
625 { |
|
4584
|
626 MX_ND_CUMULATIVE_OP (ComplexNDArray, Complex, Complex (1, 0), *); |
|
4569
|
627 } |
|
|
628 |
|
4584
|
629 ComplexNDArray |
|
4569
|
630 ComplexNDArray::cumsum (int dim) const |
|
|
631 { |
|
4584
|
632 MX_ND_CUMULATIVE_OP (ComplexNDArray, Complex, Complex (0, 0), +); |
|
4569
|
633 } |
|
|
634 |
|
|
635 ComplexNDArray |
|
|
636 ComplexNDArray::prod (int dim) const |
|
|
637 { |
|
|
638 MX_ND_COMPLEX_OP_REDUCTION (*= elem (iter_idx), Complex (1, 0)); |
|
|
639 } |
|
|
640 |
|
|
641 ComplexNDArray |
|
|
642 ComplexNDArray::sumsq (int dim) const |
|
|
643 { |
|
|
644 MX_ND_COMPLEX_OP_REDUCTION |
|
|
645 (+= imag (elem (iter_idx)) |
|
|
646 ? elem (iter_idx) * conj (elem (iter_idx)) |
|
|
647 : std::pow (elem (iter_idx), 2), Complex (0, 0)); |
|
|
648 } |
|
|
649 |
|
|
650 ComplexNDArray |
|
|
651 ComplexNDArray::sum (int dim) const |
|
|
652 { |
|
|
653 MX_ND_COMPLEX_OP_REDUCTION (+= elem (iter_idx), Complex (0, 0)); |
|
|
654 } |
|
|
655 |
|
4915
|
656 ComplexNDArray |
|
5073
|
657 ComplexNDArray::concat (const ComplexNDArray& rb, const Array<int>& ra_idx) |
|
4915
|
658 { |
|
4940
|
659 if (rb.numel () > 0) |
|
5073
|
660 insert (rb, ra_idx); |
|
|
661 return *this; |
|
4915
|
662 } |
|
|
663 |
|
|
664 ComplexNDArray |
|
5073
|
665 ComplexNDArray::concat (const NDArray& rb, const Array<int>& ra_idx) |
|
4758
|
666 { |
|
4915
|
667 ComplexNDArray tmp (rb); |
|
4940
|
668 if (rb.numel () > 0) |
|
5073
|
669 insert (tmp, ra_idx); |
|
|
670 return *this; |
|
4915
|
671 } |
|
|
672 |
|
|
673 ComplexNDArray |
|
5073
|
674 concat (NDArray& ra, ComplexNDArray& rb, const Array<int>& ra_idx) |
|
4915
|
675 { |
|
|
676 ComplexNDArray retval (ra); |
|
4940
|
677 if (rb.numel () > 0) |
|
4915
|
678 retval.insert (rb, ra_idx); |
|
|
679 return retval; |
|
4758
|
680 } |
|
|
681 |
|
4844
|
682 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
|
|
683 |
|
|
684 ComplexNDArray |
|
|
685 ComplexNDArray::max (int dim) const |
|
|
686 { |
|
|
687 ArrayN<int> dummy_idx; |
|
|
688 return max (dummy_idx, dim); |
|
|
689 } |
|
|
690 |
|
|
691 ComplexNDArray |
|
|
692 ComplexNDArray::max (ArrayN<int>& idx_arg, int dim) const |
|
|
693 { |
|
|
694 dim_vector dv = dims (); |
|
|
695 dim_vector dr = dims (); |
|
|
696 |
|
|
697 if (dv.numel () == 0 || dim > dv.length () || dim < 0) |
|
|
698 return ComplexNDArray (); |
|
|
699 |
|
|
700 dr(dim) = 1; |
|
|
701 |
|
|
702 ComplexNDArray result (dr); |
|
|
703 idx_arg.resize (dr); |
|
|
704 |
|
|
705 int x_stride = 1; |
|
|
706 int x_len = dv(dim); |
|
|
707 for (int i = 0; i < dim; i++) |
|
|
708 x_stride *= dv(i); |
|
|
709 |
|
|
710 for (int i = 0; i < dr.numel (); i++) |
|
|
711 { |
|
|
712 int x_offset; |
|
|
713 if (x_stride == 1) |
|
|
714 x_offset = i * x_len; |
|
|
715 else |
|
|
716 { |
|
|
717 int x_offset2 = 0; |
|
|
718 x_offset = i; |
|
|
719 while (x_offset >= x_stride) |
|
|
720 { |
|
|
721 x_offset -= x_stride; |
|
|
722 x_offset2++; |
|
|
723 } |
|
|
724 x_offset += x_offset2 * x_stride * x_len; |
|
|
725 } |
|
|
726 |
|
|
727 int idx_j; |
|
|
728 |
|
|
729 Complex tmp_max; |
|
|
730 |
|
|
731 double abs_max = octave_NaN; |
|
|
732 |
|
|
733 for (idx_j = 0; idx_j < x_len; idx_j++) |
|
|
734 { |
|
|
735 tmp_max = elem (idx_j * x_stride + x_offset); |
|
|
736 |
|
|
737 if (! octave_is_NaN_or_NA (tmp_max)) |
|
|
738 { |
|
|
739 abs_max = ::abs(tmp_max); |
|
|
740 break; |
|
|
741 } |
|
|
742 } |
|
|
743 |
|
|
744 for (int j = idx_j+1; j < x_len; j++) |
|
|
745 { |
|
|
746 Complex tmp = elem (j * x_stride + x_offset); |
|
|
747 |
|
|
748 if (octave_is_NaN_or_NA (tmp)) |
|
|
749 continue; |
|
|
750 |
|
|
751 double abs_tmp = ::abs (tmp); |
|
|
752 |
|
|
753 if (abs_tmp > abs_max) |
|
|
754 { |
|
|
755 idx_j = j; |
|
|
756 tmp_max = tmp; |
|
|
757 abs_max = abs_tmp; |
|
|
758 } |
|
|
759 } |
|
|
760 |
|
|
761 if (octave_is_NaN_or_NA (tmp_max)) |
|
|
762 { |
|
|
763 result.elem (i) = Complex_NaN_result; |
|
|
764 idx_arg.elem (i) = 0; |
|
|
765 } |
|
|
766 else |
|
|
767 { |
|
|
768 result.elem (i) = tmp_max; |
|
|
769 idx_arg.elem (i) = idx_j; |
|
|
770 } |
|
|
771 } |
|
|
772 |
|
|
773 return result; |
|
|
774 } |
|
|
775 |
|
|
776 ComplexNDArray |
|
|
777 ComplexNDArray::min (int dim) const |
|
|
778 { |
|
|
779 ArrayN<int> dummy_idx; |
|
|
780 return min (dummy_idx, dim); |
|
|
781 } |
|
|
782 |
|
|
783 ComplexNDArray |
|
|
784 ComplexNDArray::min (ArrayN<int>& idx_arg, int dim) const |
|
|
785 { |
|
|
786 dim_vector dv = dims (); |
|
|
787 dim_vector dr = dims (); |
|
|
788 |
|
|
789 if (dv.numel () == 0 || dim > dv.length () || dim < 0) |
|
|
790 return ComplexNDArray (); |
|
|
791 |
|
|
792 dr(dim) = 1; |
|
|
793 |
|
|
794 ComplexNDArray result (dr); |
|
|
795 idx_arg.resize (dr); |
|
|
796 |
|
|
797 int x_stride = 1; |
|
|
798 int x_len = dv(dim); |
|
|
799 for (int i = 0; i < dim; i++) |
|
|
800 x_stride *= dv(i); |
|
|
801 |
|
|
802 for (int i = 0; i < dr.numel (); i++) |
|
|
803 { |
|
|
804 int x_offset; |
|
|
805 if (x_stride == 1) |
|
|
806 x_offset = i * x_len; |
|
|
807 else |
|
|
808 { |
|
|
809 int x_offset2 = 0; |
|
|
810 x_offset = i; |
|
|
811 while (x_offset >= x_stride) |
|
|
812 { |
|
|
813 x_offset -= x_stride; |
|
|
814 x_offset2++; |
|
|
815 } |
|
|
816 x_offset += x_offset2 * x_stride * x_len; |
|
|
817 } |
|
|
818 |
|
|
819 int idx_j; |
|
|
820 |
|
|
821 Complex tmp_min; |
|
|
822 |
|
|
823 double abs_min = octave_NaN; |
|
|
824 |
|
|
825 for (idx_j = 0; idx_j < x_len; idx_j++) |
|
|
826 { |
|
|
827 tmp_min = elem (idx_j * x_stride + x_offset); |
|
|
828 |
|
|
829 if (! octave_is_NaN_or_NA (tmp_min)) |
|
|
830 { |
|
|
831 abs_min = ::abs(tmp_min); |
|
|
832 break; |
|
|
833 } |
|
|
834 } |
|
|
835 |
|
|
836 for (int j = idx_j+1; j < x_len; j++) |
|
|
837 { |
|
|
838 Complex tmp = elem (j * x_stride + x_offset); |
|
|
839 |
|
|
840 if (octave_is_NaN_or_NA (tmp)) |
|
|
841 continue; |
|
|
842 |
|
|
843 double abs_tmp = ::abs (tmp); |
|
|
844 |
|
|
845 if (abs_tmp < abs_min) |
|
|
846 { |
|
|
847 idx_j = j; |
|
|
848 tmp_min = tmp; |
|
|
849 abs_min = abs_tmp; |
|
|
850 } |
|
|
851 } |
|
|
852 |
|
|
853 if (octave_is_NaN_or_NA (tmp_min)) |
|
|
854 { |
|
|
855 result.elem (i) = Complex_NaN_result; |
|
|
856 idx_arg.elem (i) = 0; |
|
|
857 } |
|
|
858 else |
|
|
859 { |
|
|
860 result.elem (i) = tmp_min; |
|
|
861 idx_arg.elem (i) = idx_j; |
|
|
862 } |
|
|
863 } |
|
|
864 |
|
|
865 return result; |
|
|
866 } |
|
|
867 |
|
4634
|
868 NDArray |
|
4569
|
869 ComplexNDArray::abs (void) const |
|
|
870 { |
|
4634
|
871 NDArray retval (dims ()); |
|
4569
|
872 |
|
4634
|
873 int nel = nelem (); |
|
|
874 |
|
|
875 for (int i = 0; i < nel; i++) |
|
|
876 retval(i) = ::abs (elem (i)); |
|
4569
|
877 |
|
|
878 return retval; |
|
4514
|
879 } |
|
|
880 |
|
4765
|
881 ComplexNDArray& |
|
|
882 ComplexNDArray::insert (const NDArray& a, int r, int c) |
|
|
883 { |
|
|
884 dim_vector a_dv = a.dims (); |
|
|
885 |
|
|
886 int n = a_dv.length (); |
|
|
887 |
|
|
888 if (n == dimensions.length ()) |
|
|
889 { |
|
|
890 Array<int> a_ra_idx (a_dv.length (), 0); |
|
|
891 |
|
|
892 a_ra_idx.elem (0) = r; |
|
|
893 a_ra_idx.elem (1) = c; |
|
|
894 |
|
|
895 for (int i = 0; i < n; i++) |
|
|
896 { |
|
|
897 if (a_ra_idx (i) < 0 || (a_ra_idx (i) + a_dv (i)) > dimensions (i)) |
|
|
898 { |
|
|
899 (*current_liboctave_error_handler) |
|
|
900 ("Array<T>::insert: range error for insert"); |
|
|
901 return *this; |
|
|
902 } |
|
|
903 } |
|
|
904 |
|
|
905 a_ra_idx.elem (0) = 0; |
|
|
906 a_ra_idx.elem (1) = 0; |
|
|
907 |
|
|
908 int n_elt = a.numel (); |
|
|
909 |
|
|
910 // IS make_unique () NECCESSARY HERE?? |
|
|
911 |
|
|
912 for (int i = 0; i < n_elt; i++) |
|
|
913 { |
|
|
914 Array<int> ra_idx = a_ra_idx; |
|
|
915 |
|
|
916 ra_idx.elem (0) = a_ra_idx (0) + r; |
|
|
917 ra_idx.elem (1) = a_ra_idx (1) + c; |
|
|
918 |
|
|
919 elem (ra_idx) = a.elem (a_ra_idx); |
|
|
920 |
|
|
921 increment_index (a_ra_idx, a_dv); |
|
|
922 } |
|
|
923 } |
|
|
924 else |
|
|
925 (*current_liboctave_error_handler) |
|
|
926 ("Array<T>::insert: invalid indexing operation"); |
|
|
927 |
|
|
928 return *this; |
|
|
929 } |
|
|
930 |
|
|
931 ComplexNDArray& |
|
|
932 ComplexNDArray::insert (const ComplexNDArray& a, int r, int c) |
|
|
933 { |
|
|
934 Array<Complex>::insert (a, r, c); |
|
|
935 return *this; |
|
|
936 } |
|
|
937 |
|
4915
|
938 ComplexNDArray& |
|
|
939 ComplexNDArray::insert (const ComplexNDArray& a, const Array<int>& ra_idx) |
|
|
940 { |
|
|
941 Array<Complex>::insert (a, ra_idx); |
|
|
942 return *this; |
|
|
943 } |
|
|
944 |
|
4514
|
945 ComplexMatrix |
|
|
946 ComplexNDArray::matrix_value (void) const |
|
|
947 { |
|
|
948 ComplexMatrix retval; |
|
|
949 |
|
|
950 int nd = ndims (); |
|
|
951 |
|
|
952 switch (nd) |
|
|
953 { |
|
|
954 case 1: |
|
|
955 retval = ComplexMatrix (Array2<Complex> (*this, dimensions(0), 1)); |
|
|
956 break; |
|
|
957 |
|
|
958 case 2: |
|
|
959 retval = ComplexMatrix (Array2<Complex> (*this, dimensions(0), |
|
|
960 dimensions(1))); |
|
|
961 break; |
|
|
962 |
|
|
963 default: |
|
|
964 (*current_liboctave_error_handler) |
|
4770
|
965 ("invalid conversion of ComplexNDArray to ComplexMatrix"); |
|
4514
|
966 break; |
|
|
967 } |
|
|
968 |
|
|
969 return retval; |
|
|
970 } |
|
|
971 |
|
4532
|
972 void |
|
|
973 ComplexNDArray::increment_index (Array<int>& ra_idx, |
|
|
974 const dim_vector& dimensions, |
|
|
975 int start_dimension) |
|
|
976 { |
|
|
977 ::increment_index (ra_idx, dimensions, start_dimension); |
|
|
978 } |
|
|
979 |
|
4556
|
980 int |
|
|
981 ComplexNDArray::compute_index (Array<int>& ra_idx, |
|
|
982 const dim_vector& dimensions) |
|
|
983 { |
|
|
984 return ::compute_index (ra_idx, dimensions); |
|
|
985 } |
|
|
986 |
|
4687
|
987 |
|
|
988 // This contains no information on the array structure !!! |
|
|
989 std::ostream& |
|
|
990 operator << (std::ostream& os, const ComplexNDArray& a) |
|
|
991 { |
|
|
992 int nel = a.nelem (); |
|
|
993 |
|
|
994 for (int i = 0; i < nel; i++) |
|
|
995 { |
|
|
996 os << " "; |
|
|
997 octave_write_complex (os, a.elem (i)); |
|
|
998 os << "\n"; |
|
|
999 } |
|
|
1000 return os; |
|
|
1001 } |
|
|
1002 |
|
|
1003 std::istream& |
|
|
1004 operator >> (std::istream& is, ComplexNDArray& a) |
|
|
1005 { |
|
|
1006 int nel = a.nelem (); |
|
|
1007 |
|
|
1008 if (nel < 1 ) |
|
|
1009 is.clear (std::ios::badbit); |
|
|
1010 else |
|
|
1011 { |
|
|
1012 Complex tmp; |
|
|
1013 for (int i = 0; i < nel; i++) |
|
|
1014 { |
|
|
1015 tmp = octave_read_complex (is); |
|
|
1016 if (is) |
|
|
1017 a.elem (i) = tmp; |
|
|
1018 else |
|
|
1019 goto done; |
|
|
1020 } |
|
|
1021 } |
|
|
1022 |
|
|
1023 done: |
|
|
1024 |
|
|
1025 return is; |
|
|
1026 } |
|
|
1027 |
|
4844
|
1028 // XXX FIXME XXX -- it would be nice to share code among the min/max |
|
|
1029 // functions below. |
|
|
1030 |
|
|
1031 #define EMPTY_RETURN_CHECK(T) \ |
|
|
1032 if (nel == 0) \ |
|
|
1033 return T (dv); |
|
|
1034 |
|
|
1035 ComplexNDArray |
|
|
1036 min (const Complex& c, const ComplexNDArray& m) |
|
|
1037 { |
|
|
1038 dim_vector dv = m.dims (); |
|
|
1039 int nel = dv.numel (); |
|
|
1040 |
|
|
1041 EMPTY_RETURN_CHECK (ComplexNDArray); |
|
|
1042 |
|
|
1043 ComplexNDArray result (dv); |
|
|
1044 |
|
|
1045 for (int i = 0; i < nel; i++) |
|
|
1046 { |
|
|
1047 OCTAVE_QUIT; |
|
|
1048 result (i) = xmin (c, m (i)); |
|
|
1049 } |
|
|
1050 |
|
|
1051 return result; |
|
|
1052 } |
|
|
1053 |
|
|
1054 ComplexNDArray |
|
|
1055 min (const ComplexNDArray& m, const Complex& c) |
|
|
1056 { |
|
|
1057 dim_vector dv = m.dims (); |
|
|
1058 int nel = dv.numel (); |
|
|
1059 |
|
|
1060 EMPTY_RETURN_CHECK (ComplexNDArray); |
|
|
1061 |
|
|
1062 ComplexNDArray result (dv); |
|
|
1063 |
|
|
1064 for (int i = 0; i < nel; i++) |
|
|
1065 { |
|
|
1066 OCTAVE_QUIT; |
|
|
1067 result (i) = xmin (c, m (i)); |
|
|
1068 } |
|
|
1069 |
|
|
1070 return result; |
|
|
1071 } |
|
|
1072 |
|
|
1073 ComplexNDArray |
|
|
1074 min (const ComplexNDArray& a, const ComplexNDArray& b) |
|
|
1075 { |
|
|
1076 dim_vector dv = a.dims (); |
|
|
1077 int nel = dv.numel (); |
|
|
1078 |
|
|
1079 if (dv != b.dims ()) |
|
|
1080 { |
|
|
1081 (*current_liboctave_error_handler) |
|
|
1082 ("two-arg min expecting args of same size"); |
|
|
1083 return ComplexNDArray (); |
|
|
1084 } |
|
|
1085 |
|
|
1086 EMPTY_RETURN_CHECK (ComplexNDArray); |
|
|
1087 |
|
|
1088 ComplexNDArray result (dv); |
|
|
1089 |
|
|
1090 for (int i = 0; i < nel; i++) |
|
|
1091 { |
|
|
1092 OCTAVE_QUIT; |
|
|
1093 result (i) = xmin (a (i), b (i)); |
|
|
1094 } |
|
|
1095 |
|
|
1096 return result; |
|
|
1097 } |
|
|
1098 |
|
|
1099 ComplexNDArray |
|
|
1100 max (const Complex& c, const ComplexNDArray& m) |
|
|
1101 { |
|
|
1102 dim_vector dv = m.dims (); |
|
|
1103 int nel = dv.numel (); |
|
|
1104 |
|
|
1105 EMPTY_RETURN_CHECK (ComplexNDArray); |
|
|
1106 |
|
|
1107 ComplexNDArray result (dv); |
|
|
1108 |
|
|
1109 for (int i = 0; i < nel; i++) |
|
|
1110 { |
|
|
1111 OCTAVE_QUIT; |
|
|
1112 result (i) = xmax (c, m (i)); |
|
|
1113 } |
|
|
1114 |
|
|
1115 return result; |
|
|
1116 } |
|
|
1117 |
|
|
1118 ComplexNDArray |
|
|
1119 max (const ComplexNDArray& m, const Complex& c) |
|
|
1120 { |
|
|
1121 dim_vector dv = m.dims (); |
|
|
1122 int nel = dv.numel (); |
|
|
1123 |
|
|
1124 EMPTY_RETURN_CHECK (ComplexNDArray); |
|
|
1125 |
|
|
1126 ComplexNDArray result (dv); |
|
|
1127 |
|
|
1128 for (int i = 0; i < nel; i++) |
|
|
1129 { |
|
|
1130 OCTAVE_QUIT; |
|
|
1131 result (i) = xmax (c, m (i)); |
|
|
1132 } |
|
|
1133 |
|
|
1134 return result; |
|
|
1135 } |
|
|
1136 |
|
|
1137 ComplexNDArray |
|
|
1138 max (const ComplexNDArray& a, const ComplexNDArray& b) |
|
|
1139 { |
|
|
1140 dim_vector dv = a.dims (); |
|
|
1141 int nel = dv.numel (); |
|
|
1142 |
|
|
1143 if (dv != b.dims ()) |
|
|
1144 { |
|
|
1145 (*current_liboctave_error_handler) |
|
|
1146 ("two-arg max expecting args of same size"); |
|
|
1147 return ComplexNDArray (); |
|
|
1148 } |
|
|
1149 |
|
|
1150 EMPTY_RETURN_CHECK (ComplexNDArray); |
|
|
1151 |
|
|
1152 ComplexNDArray result (dv); |
|
|
1153 |
|
|
1154 for (int i = 0; i < nel; i++) |
|
|
1155 { |
|
|
1156 OCTAVE_QUIT; |
|
|
1157 result (i) = xmax (a (i), b (i)); |
|
|
1158 } |
|
|
1159 |
|
|
1160 return result; |
|
|
1161 } |
|
|
1162 |
|
4543
|
1163 NDS_CMP_OPS(ComplexNDArray, real, Complex, real) |
|
|
1164 NDS_BOOL_OPS(ComplexNDArray, Complex, 0.0) |
|
|
1165 |
|
|
1166 SND_CMP_OPS(Complex, real, ComplexNDArray, real) |
|
|
1167 SND_BOOL_OPS(Complex, ComplexNDArray, 0.0) |
|
|
1168 |
|
|
1169 NDND_CMP_OPS(ComplexNDArray, real, ComplexNDArray, real) |
|
|
1170 NDND_BOOL_OPS(ComplexNDArray, ComplexNDArray, 0.0) |
|
|
1171 |
|
4514
|
1172 /* |
|
|
1173 ;;; Local Variables: *** |
|
|
1174 ;;; mode: C++ *** |
|
|
1175 ;;; End: *** |
|
|
1176 */ |
