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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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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21 02110-1301, USA. |
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22 |
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23 */ |
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24 |
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25 #ifdef HAVE_CONFIG_H |
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26 #include <config.h> |
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27 #endif |
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28 |
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29 #include <cfloat> |
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30 |
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31 #include <vector> |
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32 |
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33 #include "Array-util.h" |
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34 #include "dNDArray.h" |
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35 #include "mx-base.h" |
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36 #include "f77-fcn.h" |
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37 #include "lo-error.h" |
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38 #include "lo-ieee.h" |
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39 #include "lo-mappers.h" |
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40 |
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41 #if defined (HAVE_FFTW3) |
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42 #include "oct-fftw.h" |
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43 |
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44 ComplexNDArray |
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45 NDArray::fourier (int dim) const |
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46 { |
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47 dim_vector dv = dims (); |
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48 |
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49 if (dim > dv.length () || dim < 0) |
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50 return ComplexNDArray (); |
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51 |
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52 octave_idx_type stride = 1; |
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53 octave_idx_type n = dv(dim); |
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54 |
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55 for (int i = 0; i < dim; i++) |
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56 stride *= dv(i); |
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57 |
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58 octave_idx_type howmany = numel () / dv (dim); |
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59 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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60 octave_idx_type nloop = (stride == 1 ? 1 : numel () / dv (dim) / stride); |
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61 octave_idx_type dist = (stride == 1 ? n : 1); |
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62 |
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63 const double *in (fortran_vec ()); |
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64 ComplexNDArray retval (dv); |
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65 Complex *out (retval.fortran_vec ()); |
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66 |
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67 // Need to be careful here about the distance between fft's |
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68 for (octave_idx_type k = 0; k < nloop; k++) |
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69 octave_fftw::fft (in + k * stride * n, out + k * stride * n, |
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70 n, howmany, stride, dist); |
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71 |
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72 return retval; |
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73 } |
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74 |
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75 ComplexNDArray |
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76 NDArray::ifourier (int dim) const |
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77 { |
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78 dim_vector dv = dims (); |
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79 |
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80 if (dim > dv.length () || dim < 0) |
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81 return ComplexNDArray (); |
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82 |
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83 octave_idx_type stride = 1; |
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84 octave_idx_type n = dv(dim); |
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85 |
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86 for (int i = 0; i < dim; i++) |
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87 stride *= dv(i); |
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88 |
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89 octave_idx_type howmany = numel () / dv (dim); |
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90 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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91 octave_idx_type nloop = (stride == 1 ? 1 : numel () / dv (dim) / stride); |
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92 octave_idx_type dist = (stride == 1 ? n : 1); |
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93 |
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94 ComplexNDArray retval (*this); |
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95 Complex *out (retval.fortran_vec ()); |
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96 |
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97 // Need to be careful here about the distance between fft's |
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98 for (octave_idx_type k = 0; k < nloop; k++) |
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99 octave_fftw::ifft (out + k * stride * n, out + k * stride * n, |
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100 n, howmany, stride, dist); |
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101 |
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102 return retval; |
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103 } |
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104 |
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105 ComplexNDArray |
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106 NDArray::fourier2d (void) const |
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107 { |
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108 dim_vector dv = dims(); |
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109 if (dv.length () < 2) |
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110 return ComplexNDArray (); |
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111 |
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112 dim_vector dv2(dv(0), dv(1)); |
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113 const double *in = fortran_vec (); |
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114 ComplexNDArray retval (dv); |
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115 Complex *out = retval.fortran_vec (); |
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116 octave_idx_type howmany = numel() / dv(0) / dv(1); |
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117 octave_idx_type dist = dv(0) * dv(1); |
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118 |
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119 for (octave_idx_type i=0; i < howmany; i++) |
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120 octave_fftw::fftNd (in + i*dist, out + i*dist, 2, dv2); |
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121 |
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122 return retval; |
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123 } |
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124 |
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125 ComplexNDArray |
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126 NDArray::ifourier2d (void) const |
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127 { |
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128 dim_vector dv = dims(); |
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129 if (dv.length () < 2) |
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130 return ComplexNDArray (); |
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131 |
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132 dim_vector dv2(dv(0), dv(1)); |
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133 ComplexNDArray retval (*this); |
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134 Complex *out = retval.fortran_vec (); |
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135 octave_idx_type howmany = numel() / dv(0) / dv(1); |
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136 octave_idx_type dist = dv(0) * dv(1); |
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137 |
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138 for (octave_idx_type i=0; i < howmany; i++) |
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139 octave_fftw::ifftNd (out + i*dist, out + i*dist, 2, dv2); |
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140 |
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141 return retval; |
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142 } |
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143 |
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144 ComplexNDArray |
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145 NDArray::fourierNd (void) const |
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146 { |
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147 dim_vector dv = dims (); |
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148 int rank = dv.length (); |
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149 |
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150 const double *in (fortran_vec ()); |
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151 ComplexNDArray retval (dv); |
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152 Complex *out (retval.fortran_vec ()); |
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153 |
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154 octave_fftw::fftNd (in, out, rank, dv); |
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155 |
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156 return retval; |
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157 } |
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158 |
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159 ComplexNDArray |
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160 NDArray::ifourierNd (void) const |
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161 { |
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162 dim_vector dv = dims (); |
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163 int rank = dv.length (); |
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164 |
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165 ComplexNDArray tmp (*this); |
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166 Complex *in (tmp.fortran_vec ()); |
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167 ComplexNDArray retval (dv); |
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168 Complex *out (retval.fortran_vec ()); |
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169 |
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170 octave_fftw::ifftNd (in, out, rank, dv); |
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171 |
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172 return retval; |
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173 } |
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174 |
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175 #else |
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176 |
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177 extern "C" |
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178 { |
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179 // Note that the original complex fft routines were not written for |
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180 // double complex arguments. They have been modified by adding an |
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181 // implicit double precision (a-h,o-z) statement at the beginning of |
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182 // each subroutine. |
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183 |
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184 F77_RET_T |
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185 F77_FUNC (cffti, CFFTI) (const octave_idx_type&, Complex*); |
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186 |
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187 F77_RET_T |
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188 F77_FUNC (cfftf, CFFTF) (const octave_idx_type&, Complex*, Complex*); |
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189 |
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190 F77_RET_T |
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191 F77_FUNC (cfftb, CFFTB) (const octave_idx_type&, Complex*, Complex*); |
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192 } |
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193 |
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194 ComplexNDArray |
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195 NDArray::fourier (int dim) const |
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196 { |
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197 dim_vector dv = dims (); |
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198 |
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199 if (dim > dv.length () || dim < 0) |
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200 return ComplexNDArray (); |
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201 |
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202 ComplexNDArray retval (dv); |
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203 octave_idx_type npts = dv(dim); |
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204 octave_idx_type nn = 4*npts+15; |
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205 Array<Complex> wsave (nn); |
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206 Complex *pwsave = wsave.fortran_vec (); |
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207 |
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208 OCTAVE_LOCAL_BUFFER (Complex, tmp, npts); |
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209 |
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210 octave_idx_type stride = 1; |
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211 |
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212 for (int i = 0; i < dim; i++) |
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213 stride *= dv(i); |
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214 |
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215 octave_idx_type howmany = numel () / npts; |
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216 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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217 octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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218 octave_idx_type dist = (stride == 1 ? npts : 1); |
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219 |
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220 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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221 |
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222 for (octave_idx_type k = 0; k < nloop; k++) |
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223 { |
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224 for (octave_idx_type j = 0; j < howmany; j++) |
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225 { |
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226 OCTAVE_QUIT; |
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227 |
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228 for (octave_idx_type i = 0; i < npts; i++) |
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229 tmp[i] = elem((i + k*npts)*stride + j*dist); |
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230 |
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231 F77_FUNC (cfftf, CFFTF) (npts, tmp, pwsave); |
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232 |
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233 for (octave_idx_type i = 0; i < npts; i++) |
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234 retval ((i + k*npts)*stride + j*dist) = tmp[i]; |
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235 } |
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236 } |
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237 |
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238 return retval; |
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239 } |
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240 |
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241 ComplexNDArray |
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242 NDArray::ifourier (int dim) const |
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243 { |
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244 dim_vector dv = dims (); |
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245 |
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246 if (dim > dv.length () || dim < 0) |
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247 return ComplexNDArray (); |
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248 |
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249 ComplexNDArray retval (dv); |
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250 octave_idx_type npts = dv(dim); |
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251 octave_idx_type nn = 4*npts+15; |
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252 Array<Complex> wsave (nn); |
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253 Complex *pwsave = wsave.fortran_vec (); |
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254 |
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255 OCTAVE_LOCAL_BUFFER (Complex, tmp, npts); |
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256 |
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257 octave_idx_type stride = 1; |
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258 |
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259 for (int i = 0; i < dim; i++) |
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260 stride *= dv(i); |
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261 |
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262 octave_idx_type howmany = numel () / npts; |
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263 howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); |
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264 octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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265 octave_idx_type dist = (stride == 1 ? npts : 1); |
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266 |
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267 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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268 |
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269 for (octave_idx_type k = 0; k < nloop; k++) |
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270 { |
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271 for (octave_idx_type j = 0; j < howmany; j++) |
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272 { |
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273 OCTAVE_QUIT; |
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274 |
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275 for (octave_idx_type i = 0; i < npts; i++) |
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276 tmp[i] = elem((i + k*npts)*stride + j*dist); |
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277 |
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278 F77_FUNC (cfftb, CFFTB) (npts, tmp, pwsave); |
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279 |
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280 for (octave_idx_type i = 0; i < npts; i++) |
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281 retval ((i + k*npts)*stride + j*dist) = tmp[i] / |
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282 static_cast<double> (npts); |
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283 } |
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284 } |
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285 |
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286 return retval; |
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287 } |
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288 |
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289 ComplexNDArray |
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290 NDArray::fourier2d (void) const |
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291 { |
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292 dim_vector dv = dims(); |
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293 dim_vector dv2 (dv(0), dv(1)); |
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294 int rank = 2; |
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295 ComplexNDArray retval (*this); |
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296 octave_idx_type stride = 1; |
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297 |
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298 for (int i = 0; i < rank; i++) |
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299 { |
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300 octave_idx_type npts = dv2(i); |
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301 octave_idx_type nn = 4*npts+15; |
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302 Array<Complex> wsave (nn); |
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303 Complex *pwsave = wsave.fortran_vec (); |
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304 Array<Complex> row (npts); |
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305 Complex *prow = row.fortran_vec (); |
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306 |
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307 octave_idx_type howmany = numel () / npts; |
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308 howmany = (stride == 1 ? howmany : |
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309 (howmany > stride ? stride : howmany)); |
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310 octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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311 octave_idx_type dist = (stride == 1 ? npts : 1); |
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312 |
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313 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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314 |
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315 for (octave_idx_type k = 0; k < nloop; k++) |
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316 { |
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317 for (octave_idx_type j = 0; j < howmany; j++) |
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318 { |
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319 OCTAVE_QUIT; |
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320 |
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321 for (octave_idx_type l = 0; l < npts; l++) |
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322 prow[l] = retval ((l + k*npts)*stride + j*dist); |
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323 |
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324 F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave); |
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325 |
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326 for (octave_idx_type l = 0; l < npts; l++) |
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327 retval ((l + k*npts)*stride + j*dist) = prow[l]; |
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328 } |
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329 } |
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330 |
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331 stride *= dv2(i); |
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332 } |
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333 |
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334 return retval; |
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335 } |
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336 |
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337 ComplexNDArray |
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338 NDArray::ifourier2d (void) const |
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339 { |
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340 dim_vector dv = dims(); |
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341 dim_vector dv2 (dv(0), dv(1)); |
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342 int rank = 2; |
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343 ComplexNDArray retval (*this); |
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344 octave_idx_type stride = 1; |
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345 |
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346 for (int i = 0; i < rank; i++) |
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347 { |
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348 octave_idx_type npts = dv2(i); |
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349 octave_idx_type nn = 4*npts+15; |
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350 Array<Complex> wsave (nn); |
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351 Complex *pwsave = wsave.fortran_vec (); |
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352 Array<Complex> row (npts); |
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353 Complex *prow = row.fortran_vec (); |
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354 |
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355 octave_idx_type howmany = numel () / npts; |
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356 howmany = (stride == 1 ? howmany : |
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357 (howmany > stride ? stride : howmany)); |
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358 octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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359 octave_idx_type dist = (stride == 1 ? npts : 1); |
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360 |
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361 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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362 |
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363 for (octave_idx_type k = 0; k < nloop; k++) |
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364 { |
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365 for (octave_idx_type j = 0; j < howmany; j++) |
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4773
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366 { |
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367 OCTAVE_QUIT; |
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368 |
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369 for (octave_idx_type l = 0; l < npts; l++) |
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370 prow[l] = retval ((l + k*npts)*stride + j*dist); |
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371 |
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372 F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave); |
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373 |
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374 for (octave_idx_type l = 0; l < npts; l++) |
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375 retval ((l + k*npts)*stride + j*dist) = prow[l] / |
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376 static_cast<double> (npts); |
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377 } |
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378 } |
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379 |
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380 stride *= dv2(i); |
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381 } |
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382 |
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383 return retval; |
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384 } |
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385 |
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386 ComplexNDArray |
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387 NDArray::fourierNd (void) const |
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388 { |
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389 dim_vector dv = dims (); |
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390 int rank = dv.length (); |
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391 ComplexNDArray retval (*this); |
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392 octave_idx_type stride = 1; |
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4773
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393 |
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394 for (int i = 0; i < rank; i++) |
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395 { |
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396 octave_idx_type npts = dv(i); |
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397 octave_idx_type nn = 4*npts+15; |
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4773
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398 Array<Complex> wsave (nn); |
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399 Complex *pwsave = wsave.fortran_vec (); |
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400 Array<Complex> row (npts); |
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401 Complex *prow = row.fortran_vec (); |
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402 |
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5275
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403 octave_idx_type howmany = numel () / npts; |
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4773
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404 howmany = (stride == 1 ? howmany : |
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405 (howmany > stride ? stride : howmany)); |
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5275
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406 octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); |
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407 octave_idx_type dist = (stride == 1 ? npts : 1); |
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4773
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408 |
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409 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
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410 |
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5275
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411 for (octave_idx_type k = 0; k < nloop; k++) |
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4773
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412 { |
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5275
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413 for (octave_idx_type j = 0; j < howmany; j++) |
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4773
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414 { |
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415 OCTAVE_QUIT; |
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416 |
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5275
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417 for (octave_idx_type l = 0; l < npts; l++) |
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4773
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418 prow[l] = retval ((l + k*npts)*stride + j*dist); |
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419 |
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420 F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave); |
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421 |
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5275
|
422 for (octave_idx_type l = 0; l < npts; l++) |
|
4773
|
423 retval ((l + k*npts)*stride + j*dist) = prow[l]; |
|
|
424 } |
|
|
425 } |
|
|
426 |
|
|
427 stride *= dv(i); |
|
|
428 } |
|
|
429 |
|
|
430 return retval; |
|
|
431 } |
|
|
432 |
|
|
433 ComplexNDArray |
|
|
434 NDArray::ifourierNd (void) const |
|
|
435 { |
|
|
436 dim_vector dv = dims (); |
|
|
437 int rank = dv.length (); |
|
|
438 ComplexNDArray retval (*this); |
|
5275
|
439 octave_idx_type stride = 1; |
|
4773
|
440 |
|
|
441 for (int i = 0; i < rank; i++) |
|
|
442 { |
|
5275
|
443 octave_idx_type npts = dv(i); |
|
|
444 octave_idx_type nn = 4*npts+15; |
|
4773
|
445 Array<Complex> wsave (nn); |
|
|
446 Complex *pwsave = wsave.fortran_vec (); |
|
|
447 Array<Complex> row (npts); |
|
|
448 Complex *prow = row.fortran_vec (); |
|
|
449 |
|
5275
|
450 octave_idx_type howmany = numel () / npts; |
|
4773
|
451 howmany = (stride == 1 ? howmany : |
|
|
452 (howmany > stride ? stride : howmany)); |
|
5275
|
453 octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); |
|
|
454 octave_idx_type dist = (stride == 1 ? npts : 1); |
|
4773
|
455 |
|
|
456 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
|
|
457 |
|
5275
|
458 for (octave_idx_type k = 0; k < nloop; k++) |
|
4773
|
459 { |
|
5275
|
460 for (octave_idx_type j = 0; j < howmany; j++) |
|
4773
|
461 { |
|
|
462 OCTAVE_QUIT; |
|
|
463 |
|
5275
|
464 for (octave_idx_type l = 0; l < npts; l++) |
|
4773
|
465 prow[l] = retval ((l + k*npts)*stride + j*dist); |
|
|
466 |
|
|
467 F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave); |
|
|
468 |
|
5275
|
469 for (octave_idx_type l = 0; l < npts; l++) |
|
4773
|
470 retval ((l + k*npts)*stride + j*dist) = prow[l] / |
|
|
471 static_cast<double> (npts); |
|
|
472 } |
|
|
473 } |
|
|
474 |
|
|
475 stride *= dv(i); |
|
|
476 } |
|
|
477 |
|
|
478 return retval; |
|
|
479 } |
|
|
480 |
|
|
481 #endif |
|
|
482 |
|
4543
|
483 // unary operations |
|
|
484 |
|
|
485 boolNDArray |
|
|
486 NDArray::operator ! (void) const |
|
|
487 { |
|
|
488 boolNDArray b (dims ()); |
|
|
489 |
|
5275
|
490 for (octave_idx_type i = 0; i < length (); i++) |
|
4543
|
491 b.elem (i) = ! elem (i); |
|
|
492 |
|
|
493 return b; |
|
|
494 } |
|
|
495 |
|
4634
|
496 bool |
|
|
497 NDArray::any_element_is_negative (bool neg_zero) const |
|
|
498 { |
|
5275
|
499 octave_idx_type nel = nelem (); |
|
4634
|
500 |
|
|
501 if (neg_zero) |
|
|
502 { |
|
5275
|
503 for (octave_idx_type i = 0; i < nel; i++) |
|
4634
|
504 if (lo_ieee_signbit (elem (i))) |
|
|
505 return true; |
|
|
506 } |
|
|
507 else |
|
|
508 { |
|
5275
|
509 for (octave_idx_type i = 0; i < nel; i++) |
|
4634
|
510 if (elem (i) < 0) |
|
|
511 return true; |
|
|
512 } |
|
|
513 |
|
|
514 return false; |
|
|
515 } |
|
|
516 |
|
|
517 |
|
|
518 bool |
|
|
519 NDArray::any_element_is_inf_or_nan (void) const |
|
|
520 { |
|
5275
|
521 octave_idx_type nel = nelem (); |
|
4634
|
522 |
|
5275
|
523 for (octave_idx_type i = 0; i < nel; i++) |
|
4634
|
524 { |
|
|
525 double val = elem (i); |
|
|
526 if (xisinf (val) || xisnan (val)) |
|
|
527 return true; |
|
|
528 } |
|
|
529 |
|
|
530 return false; |
|
|
531 } |
|
|
532 |
|
|
533 bool |
|
5943
|
534 NDArray::any_element_not_one_or_zero (void) const |
|
|
535 { |
|
|
536 octave_idx_type nel = nelem (); |
|
|
537 |
|
|
538 for (octave_idx_type i = 0; i < nel; i++) |
|
|
539 { |
|
|
540 double val = elem (i); |
|
|
541 if (val != 0 && val != 1) |
|
|
542 return true; |
|
|
543 } |
|
|
544 |
|
|
545 return false; |
|
|
546 } |
|
|
547 |
|
|
548 bool |
|
4634
|
549 NDArray::all_elements_are_int_or_inf_or_nan (void) const |
|
|
550 { |
|
5275
|
551 octave_idx_type nel = nelem (); |
|
4634
|
552 |
|
5275
|
553 for (octave_idx_type i = 0; i < nel; i++) |
|
4634
|
554 { |
|
|
555 double val = elem (i); |
|
|
556 if (xisnan (val) || D_NINT (val) == val) |
|
|
557 continue; |
|
|
558 else |
|
|
559 return false; |
|
|
560 } |
|
|
561 |
|
|
562 return true; |
|
|
563 } |
|
|
564 |
|
|
565 // Return nonzero if any element of M is not an integer. Also extract |
|
|
566 // the largest and smallest values and return them in MAX_VAL and MIN_VAL. |
|
|
567 |
|
|
568 bool |
|
|
569 NDArray::all_integers (double& max_val, double& min_val) const |
|
|
570 { |
|
5275
|
571 octave_idx_type nel = nelem (); |
|
4634
|
572 |
|
|
573 if (nel > 0) |
|
|
574 { |
|
|
575 max_val = elem (0); |
|
|
576 min_val = elem (0); |
|
|
577 } |
|
|
578 else |
|
|
579 return false; |
|
|
580 |
|
5275
|
581 for (octave_idx_type i = 0; i < nel; i++) |
|
4634
|
582 { |
|
|
583 double val = elem (i); |
|
|
584 |
|
|
585 if (val > max_val) |
|
|
586 max_val = val; |
|
|
587 |
|
|
588 if (val < min_val) |
|
|
589 min_val = val; |
|
|
590 |
|
|
591 if (D_NINT (val) != val) |
|
|
592 return false; |
|
|
593 } |
|
|
594 |
|
|
595 return true; |
|
|
596 } |
|
|
597 |
|
|
598 bool |
|
|
599 NDArray::too_large_for_float (void) const |
|
|
600 { |
|
5275
|
601 octave_idx_type nel = nelem (); |
|
4634
|
602 |
|
5275
|
603 for (octave_idx_type i = 0; i < nel; i++) |
|
4634
|
604 { |
|
|
605 double val = elem (i); |
|
|
606 |
|
5389
|
607 if (! (xisnan (val) || xisinf (val)) |
|
5387
|
608 && fabs (val) > FLT_MAX) |
|
4634
|
609 return true; |
|
|
610 } |
|
|
611 |
|
|
612 return false; |
|
|
613 } |
|
|
614 |
|
5775
|
615 // FIXME -- this is not quite the right thing. |
|
4513
|
616 |
|
4556
|
617 boolNDArray |
|
4513
|
618 NDArray::all (int dim) const |
|
|
619 { |
|
4569
|
620 MX_ND_ANY_ALL_REDUCTION (MX_ND_ALL_EVAL (MX_ND_ALL_EXPR), true); |
|
4513
|
621 } |
|
|
622 |
|
4556
|
623 boolNDArray |
|
4513
|
624 NDArray::any (int dim) const |
|
|
625 { |
|
5110
|
626 MX_ND_ANY_ALL_REDUCTION |
|
|
627 (MX_ND_ANY_EVAL (elem (iter_idx) != 0 |
|
|
628 && ! lo_ieee_isnan (elem (iter_idx))), false); |
|
4569
|
629 } |
|
|
630 |
|
4584
|
631 NDArray |
|
4569
|
632 NDArray::cumprod (int dim) const |
|
|
633 { |
|
4584
|
634 MX_ND_CUMULATIVE_OP (NDArray, double, 1, *); |
|
4569
|
635 } |
|
|
636 |
|
4584
|
637 NDArray |
|
4569
|
638 NDArray::cumsum (int dim) const |
|
|
639 { |
|
4584
|
640 MX_ND_CUMULATIVE_OP (NDArray, double, 0, +); |
|
4513
|
641 } |
|
|
642 |
|
4569
|
643 NDArray |
|
|
644 NDArray::prod (int dim) const |
|
|
645 { |
|
|
646 MX_ND_REAL_OP_REDUCTION (*= elem (iter_idx), 1); |
|
|
647 } |
|
|
648 |
|
|
649 NDArray |
|
|
650 NDArray::sumsq (int dim) const |
|
|
651 { |
|
|
652 MX_ND_REAL_OP_REDUCTION (+= std::pow (elem (iter_idx), 2), 0); |
|
|
653 } |
|
|
654 |
|
|
655 NDArray |
|
|
656 NDArray::sum (int dim) const |
|
|
657 { |
|
|
658 MX_ND_REAL_OP_REDUCTION (+= elem (iter_idx), 0); |
|
|
659 } |
|
|
660 |
|
4844
|
661 NDArray |
|
|
662 NDArray::max (int dim) const |
|
|
663 { |
|
5275
|
664 ArrayN<octave_idx_type> dummy_idx; |
|
4844
|
665 return max (dummy_idx, dim); |
|
|
666 } |
|
|
667 |
|
|
668 NDArray |
|
5275
|
669 NDArray::max (ArrayN<octave_idx_type>& idx_arg, int dim) const |
|
4844
|
670 { |
|
|
671 dim_vector dv = dims (); |
|
|
672 dim_vector dr = dims (); |
|
|
673 |
|
|
674 if (dv.numel () == 0 || dim > dv.length () || dim < 0) |
|
|
675 return NDArray (); |
|
|
676 |
|
|
677 dr(dim) = 1; |
|
|
678 |
|
|
679 NDArray result (dr); |
|
|
680 idx_arg.resize (dr); |
|
|
681 |
|
5275
|
682 octave_idx_type x_stride = 1; |
|
|
683 octave_idx_type x_len = dv(dim); |
|
4844
|
684 for (int i = 0; i < dim; i++) |
|
|
685 x_stride *= dv(i); |
|
|
686 |
|
5275
|
687 for (octave_idx_type i = 0; i < dr.numel (); i++) |
|
4844
|
688 { |
|
5275
|
689 octave_idx_type x_offset; |
|
4844
|
690 if (x_stride == 1) |
|
|
691 x_offset = i * x_len; |
|
|
692 else |
|
|
693 { |
|
5275
|
694 octave_idx_type x_offset2 = 0; |
|
4844
|
695 x_offset = i; |
|
|
696 while (x_offset >= x_stride) |
|
|
697 { |
|
|
698 x_offset -= x_stride; |
|
|
699 x_offset2++; |
|
|
700 } |
|
|
701 x_offset += x_offset2 * x_stride * x_len; |
|
|
702 } |
|
|
703 |
|
5275
|
704 octave_idx_type idx_j; |
|
4844
|
705 |
|
|
706 double tmp_max = octave_NaN; |
|
|
707 |
|
|
708 for (idx_j = 0; idx_j < x_len; idx_j++) |
|
|
709 { |
|
|
710 tmp_max = elem (idx_j * x_stride + x_offset); |
|
|
711 |
|
5389
|
712 if (! xisnan (tmp_max)) |
|
4844
|
713 break; |
|
|
714 } |
|
|
715 |
|
5275
|
716 for (octave_idx_type j = idx_j+1; j < x_len; j++) |
|
4844
|
717 { |
|
|
718 double tmp = elem (j * x_stride + x_offset); |
|
|
719 |
|
5389
|
720 if (xisnan (tmp)) |
|
4844
|
721 continue; |
|
|
722 else if (tmp > tmp_max) |
|
|
723 { |
|
|
724 idx_j = j; |
|
|
725 tmp_max = tmp; |
|
|
726 } |
|
|
727 } |
|
|
728 |
|
|
729 result.elem (i) = tmp_max; |
|
5389
|
730 idx_arg.elem (i) = xisnan (tmp_max) ? 0 : idx_j; |
|
4844
|
731 } |
|
|
732 |
|
|
733 return result; |
|
|
734 } |
|
|
735 |
|
|
736 NDArray |
|
|
737 NDArray::min (int dim) const |
|
|
738 { |
|
5275
|
739 ArrayN<octave_idx_type> dummy_idx; |
|
4844
|
740 return min (dummy_idx, dim); |
|
|
741 } |
|
|
742 |
|
|
743 NDArray |
|
5275
|
744 NDArray::min (ArrayN<octave_idx_type>& idx_arg, int dim) const |
|
4844
|
745 { |
|
|
746 dim_vector dv = dims (); |
|
|
747 dim_vector dr = dims (); |
|
|
748 |
|
|
749 if (dv.numel () == 0 || dim > dv.length () || dim < 0) |
|
|
750 return NDArray (); |
|
|
751 |
|
|
752 dr(dim) = 1; |
|
|
753 |
|
|
754 NDArray result (dr); |
|
|
755 idx_arg.resize (dr); |
|
|
756 |
|
5275
|
757 octave_idx_type x_stride = 1; |
|
|
758 octave_idx_type x_len = dv(dim); |
|
4844
|
759 for (int i = 0; i < dim; i++) |
|
|
760 x_stride *= dv(i); |
|
|
761 |
|
5275
|
762 for (octave_idx_type i = 0; i < dr.numel (); i++) |
|
4844
|
763 { |
|
5275
|
764 octave_idx_type x_offset; |
|
4844
|
765 if (x_stride == 1) |
|
|
766 x_offset = i * x_len; |
|
|
767 else |
|
|
768 { |
|
5275
|
769 octave_idx_type x_offset2 = 0; |
|
4844
|
770 x_offset = i; |
|
|
771 while (x_offset >= x_stride) |
|
|
772 { |
|
|
773 x_offset -= x_stride; |
|
|
774 x_offset2++; |
|
|
775 } |
|
|
776 x_offset += x_offset2 * x_stride * x_len; |
|
|
777 } |
|
|
778 |
|
5275
|
779 octave_idx_type idx_j; |
|
4844
|
780 |
|
|
781 double tmp_min = octave_NaN; |
|
|
782 |
|
|
783 for (idx_j = 0; idx_j < x_len; idx_j++) |
|
|
784 { |
|
|
785 tmp_min = elem (idx_j * x_stride + x_offset); |
|
|
786 |
|
5389
|
787 if (! xisnan (tmp_min)) |
|
4844
|
788 break; |
|
|
789 } |
|
|
790 |
|
5275
|
791 for (octave_idx_type j = idx_j+1; j < x_len; j++) |
|
4844
|
792 { |
|
|
793 double tmp = elem (j * x_stride + x_offset); |
|
|
794 |
|
5389
|
795 if (xisnan (tmp)) |
|
4844
|
796 continue; |
|
|
797 else if (tmp < tmp_min) |
|
|
798 { |
|
|
799 idx_j = j; |
|
|
800 tmp_min = tmp; |
|
|
801 } |
|
|
802 } |
|
|
803 |
|
|
804 result.elem (i) = tmp_min; |
|
5389
|
805 idx_arg.elem (i) = xisnan (tmp_min) ? 0 : idx_j; |
|
4844
|
806 } |
|
|
807 |
|
|
808 return result; |
|
|
809 } |
|
|
810 |
|
4915
|
811 NDArray |
|
5275
|
812 NDArray::concat (const NDArray& rb, const Array<octave_idx_type>& ra_idx) |
|
4758
|
813 { |
|
5073
|
814 if (rb.numel () > 0) |
|
|
815 insert (rb, ra_idx); |
|
|
816 return *this; |
|
|
817 } |
|
|
818 |
|
|
819 ComplexNDArray |
|
5275
|
820 NDArray::concat (const ComplexNDArray& rb, const Array<octave_idx_type>& ra_idx) |
|
5073
|
821 { |
|
|
822 ComplexNDArray retval (*this); |
|
4940
|
823 if (rb.numel () > 0) |
|
4915
|
824 retval.insert (rb, ra_idx); |
|
|
825 return retval; |
|
4758
|
826 } |
|
|
827 |
|
5073
|
828 charNDArray |
|
5275
|
829 NDArray::concat (const charNDArray& rb, const Array<octave_idx_type>& ra_idx) |
|
5073
|
830 { |
|
|
831 charNDArray retval (dims ()); |
|
5275
|
832 octave_idx_type nel = numel (); |
|
5073
|
833 |
|
5275
|
834 for (octave_idx_type i = 0; i < nel; i++) |
|
5073
|
835 { |
|
|
836 double d = elem (i); |
|
|
837 |
|
|
838 if (xisnan (d)) |
|
|
839 { |
|
|
840 (*current_liboctave_error_handler) |
|
|
841 ("invalid conversion from NaN to character"); |
|
|
842 return retval; |
|
|
843 } |
|
|
844 else |
|
|
845 { |
|
5275
|
846 octave_idx_type ival = NINTbig (d); |
|
5073
|
847 |
|
|
848 if (ival < 0 || ival > UCHAR_MAX) |
|
5775
|
849 // FIXME -- is there something |
|
5073
|
850 // better we could do? Should we warn the user? |
|
|
851 ival = 0; |
|
|
852 |
|
|
853 retval.elem (i) = static_cast<char>(ival); |
|
|
854 } |
|
|
855 } |
|
|
856 |
|
|
857 if (rb.numel () == 0) |
|
|
858 return retval; |
|
|
859 |
|
|
860 retval.insert (rb, ra_idx); |
|
|
861 return retval; |
|
|
862 } |
|
|
863 |
|
4634
|
864 NDArray |
|
|
865 real (const ComplexNDArray& a) |
|
|
866 { |
|
5275
|
867 octave_idx_type a_len = a.length (); |
|
4634
|
868 NDArray retval; |
|
|
869 if (a_len > 0) |
|
|
870 retval = NDArray (mx_inline_real_dup (a.data (), a_len), a.dims ()); |
|
|
871 return retval; |
|
|
872 } |
|
|
873 |
|
|
874 NDArray |
|
|
875 imag (const ComplexNDArray& a) |
|
|
876 { |
|
5275
|
877 octave_idx_type a_len = a.length (); |
|
4634
|
878 NDArray retval; |
|
|
879 if (a_len > 0) |
|
|
880 retval = NDArray (mx_inline_imag_dup (a.data (), a_len), a.dims ()); |
|
|
881 return retval; |
|
|
882 } |
|
|
883 |
|
4915
|
884 NDArray& |
|
5275
|
885 NDArray::insert (const NDArray& a, octave_idx_type r, octave_idx_type c) |
|
4915
|
886 { |
|
|
887 Array<double>::insert (a, r, c); |
|
|
888 return *this; |
|
|
889 } |
|
|
890 |
|
|
891 NDArray& |
|
5275
|
892 NDArray::insert (const NDArray& a, const Array<octave_idx_type>& ra_idx) |
|
4915
|
893 { |
|
|
894 Array<double>::insert (a, ra_idx); |
|
|
895 return *this; |
|
|
896 } |
|
|
897 |
|
4634
|
898 NDArray |
|
4569
|
899 NDArray::abs (void) const |
|
|
900 { |
|
4634
|
901 NDArray retval (dims ()); |
|
4569
|
902 |
|
5275
|
903 octave_idx_type nel = nelem (); |
|
4634
|
904 |
|
5275
|
905 for (octave_idx_type i = 0; i < nel; i++) |
|
4634
|
906 retval(i) = fabs (elem (i)); |
|
4569
|
907 |
|
|
908 return retval; |
|
|
909 } |
|
|
910 |
|
4532
|
911 Matrix |
|
|
912 NDArray::matrix_value (void) const |
|
|
913 { |
|
|
914 Matrix retval; |
|
|
915 |
|
|
916 int nd = ndims (); |
|
|
917 |
|
|
918 switch (nd) |
|
|
919 { |
|
|
920 case 1: |
|
|
921 retval = Matrix (Array2<double> (*this, dimensions(0), 1)); |
|
|
922 break; |
|
|
923 |
|
|
924 case 2: |
|
|
925 retval = Matrix (Array2<double> (*this, dimensions(0), dimensions(1))); |
|
|
926 break; |
|
|
927 |
|
|
928 default: |
|
|
929 (*current_liboctave_error_handler) |
|
4770
|
930 ("invalid conversion of NDArray to Matrix"); |
|
4532
|
931 break; |
|
|
932 } |
|
|
933 |
|
|
934 return retval; |
|
|
935 } |
|
|
936 |
|
|
937 void |
|
5275
|
938 NDArray::increment_index (Array<octave_idx_type>& ra_idx, |
|
4532
|
939 const dim_vector& dimensions, |
|
|
940 int start_dimension) |
|
|
941 { |
|
|
942 ::increment_index (ra_idx, dimensions, start_dimension); |
|
|
943 } |
|
|
944 |
|
5275
|
945 octave_idx_type |
|
|
946 NDArray::compute_index (Array<octave_idx_type>& ra_idx, |
|
4556
|
947 const dim_vector& dimensions) |
|
|
948 { |
|
|
949 return ::compute_index (ra_idx, dimensions); |
|
|
950 } |
|
|
951 |
|
4687
|
952 // This contains no information on the array structure !!! |
|
|
953 std::ostream& |
|
|
954 operator << (std::ostream& os, const NDArray& a) |
|
|
955 { |
|
5275
|
956 octave_idx_type nel = a.nelem (); |
|
4687
|
957 |
|
5275
|
958 for (octave_idx_type i = 0; i < nel; i++) |
|
4687
|
959 { |
|
|
960 os << " "; |
|
|
961 octave_write_double (os, a.elem (i)); |
|
|
962 os << "\n"; |
|
|
963 } |
|
|
964 return os; |
|
|
965 } |
|
|
966 |
|
|
967 std::istream& |
|
|
968 operator >> (std::istream& is, NDArray& a) |
|
|
969 { |
|
5275
|
970 octave_idx_type nel = a.nelem (); |
|
4687
|
971 |
|
|
972 if (nel < 1 ) |
|
|
973 is.clear (std::ios::badbit); |
|
|
974 else |
|
|
975 { |
|
|
976 double tmp; |
|
5275
|
977 for (octave_idx_type i = 0; i < nel; i++) |
|
4687
|
978 { |
|
|
979 tmp = octave_read_double (is); |
|
|
980 if (is) |
|
|
981 a.elem (i) = tmp; |
|
|
982 else |
|
|
983 goto done; |
|
|
984 } |
|
|
985 } |
|
|
986 |
|
|
987 done: |
|
|
988 |
|
|
989 return is; |
|
|
990 } |
|
|
991 |
|
5775
|
992 // FIXME -- it would be nice to share code among the min/max |
|
4844
|
993 // functions below. |
|
|
994 |
|
|
995 #define EMPTY_RETURN_CHECK(T) \ |
|
|
996 if (nel == 0) \ |
|
|
997 return T (dv); |
|
|
998 |
|
|
999 NDArray |
|
|
1000 min (double d, const NDArray& m) |
|
|
1001 { |
|
|
1002 dim_vector dv = m.dims (); |
|
5275
|
1003 octave_idx_type nel = dv.numel (); |
|
4844
|
1004 |
|
|
1005 EMPTY_RETURN_CHECK (NDArray); |
|
|
1006 |
|
|
1007 NDArray result (dv); |
|
|
1008 |
|
5275
|
1009 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
1010 { |
|
|
1011 OCTAVE_QUIT; |
|
|
1012 result (i) = xmin (d, m (i)); |
|
|
1013 } |
|
|
1014 |
|
|
1015 return result; |
|
|
1016 } |
|
|
1017 |
|
|
1018 NDArray |
|
|
1019 min (const NDArray& m, double d) |
|
|
1020 { |
|
|
1021 dim_vector dv = m.dims (); |
|
5275
|
1022 octave_idx_type nel = dv.numel (); |
|
4844
|
1023 |
|
|
1024 EMPTY_RETURN_CHECK (NDArray); |
|
|
1025 |
|
|
1026 NDArray result (dv); |
|
|
1027 |
|
5275
|
1028 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
1029 { |
|
|
1030 OCTAVE_QUIT; |
|
|
1031 result (i) = xmin (d, m (i)); |
|
|
1032 } |
|
|
1033 |
|
|
1034 return result; |
|
|
1035 } |
|
|
1036 |
|
|
1037 NDArray |
|
|
1038 min (const NDArray& a, const NDArray& b) |
|
|
1039 { |
|
|
1040 dim_vector dv = a.dims (); |
|
5275
|
1041 octave_idx_type nel = dv.numel (); |
|
4844
|
1042 |
|
|
1043 if (dv != b.dims ()) |
|
|
1044 { |
|
|
1045 (*current_liboctave_error_handler) |
|
|
1046 ("two-arg min expecting args of same size"); |
|
|
1047 return NDArray (); |
|
|
1048 } |
|
|
1049 |
|
|
1050 EMPTY_RETURN_CHECK (NDArray); |
|
|
1051 |
|
|
1052 NDArray result (dv); |
|
|
1053 |
|
5275
|
1054 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
1055 { |
|
|
1056 OCTAVE_QUIT; |
|
|
1057 result (i) = xmin (a (i), b (i)); |
|
|
1058 } |
|
|
1059 |
|
|
1060 return result; |
|
|
1061 } |
|
|
1062 |
|
|
1063 NDArray |
|
|
1064 max (double d, const NDArray& m) |
|
|
1065 { |
|
|
1066 dim_vector dv = m.dims (); |
|
5275
|
1067 octave_idx_type nel = dv.numel (); |
|
4844
|
1068 |
|
|
1069 EMPTY_RETURN_CHECK (NDArray); |
|
|
1070 |
|
|
1071 NDArray result (dv); |
|
|
1072 |
|
5275
|
1073 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
1074 { |
|
|
1075 OCTAVE_QUIT; |
|
|
1076 result (i) = xmax (d, m (i)); |
|
|
1077 } |
|
|
1078 |
|
|
1079 return result; |
|
|
1080 } |
|
|
1081 |
|
|
1082 NDArray |
|
|
1083 max (const NDArray& m, double d) |
|
|
1084 { |
|
|
1085 dim_vector dv = m.dims (); |
|
5275
|
1086 octave_idx_type nel = dv.numel (); |
|
4844
|
1087 |
|
|
1088 EMPTY_RETURN_CHECK (NDArray); |
|
|
1089 |
|
|
1090 NDArray result (dv); |
|
|
1091 |
|
5275
|
1092 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
1093 { |
|
|
1094 OCTAVE_QUIT; |
|
|
1095 result (i) = xmax (d, m (i)); |
|
|
1096 } |
|
|
1097 |
|
|
1098 return result; |
|
|
1099 } |
|
|
1100 |
|
|
1101 NDArray |
|
|
1102 max (const NDArray& a, const NDArray& b) |
|
|
1103 { |
|
|
1104 dim_vector dv = a.dims (); |
|
5275
|
1105 octave_idx_type nel = dv.numel (); |
|
4844
|
1106 |
|
|
1107 if (dv != b.dims ()) |
|
|
1108 { |
|
|
1109 (*current_liboctave_error_handler) |
|
|
1110 ("two-arg max expecting args of same size"); |
|
|
1111 return NDArray (); |
|
|
1112 } |
|
|
1113 |
|
|
1114 EMPTY_RETURN_CHECK (NDArray); |
|
|
1115 |
|
|
1116 NDArray result (dv); |
|
|
1117 |
|
5275
|
1118 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
1119 { |
|
|
1120 OCTAVE_QUIT; |
|
|
1121 result (i) = xmax (a (i), b (i)); |
|
|
1122 } |
|
|
1123 |
|
|
1124 return result; |
|
|
1125 } |
|
|
1126 |
|
4543
|
1127 NDS_CMP_OPS(NDArray, , double, ) |
|
|
1128 NDS_BOOL_OPS(NDArray, double, 0.0) |
|
|
1129 |
|
|
1130 SND_CMP_OPS(double, , NDArray, ) |
|
|
1131 SND_BOOL_OPS(double, NDArray, 0.0) |
|
|
1132 |
|
|
1133 NDND_CMP_OPS(NDArray, , NDArray, ) |
|
|
1134 NDND_BOOL_OPS(NDArray, NDArray, 0.0) |
|
|
1135 |
|
4513
|
1136 /* |
|
|
1137 ;;; Local Variables: *** |
|
|
1138 ;;; mode: C++ *** |
|
|
1139 ;;; End: *** |
|
|
1140 */ |
