Mercurial > hg > octave-nkf
annotate liboctave/dim-vector.h @ 9840:c0b54271904b
improve safe numel() calculation for arrays
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Thu, 19 Nov 2009 15:48:33 +0100 |
parents | 26abff55f6fe |
children | cddd5c3d5f04 |
rev | line source |
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4513 | 1 /* |
2 | |
8920 | 3 Copyright (C) 2003, 2004, 2005, 2006, 2007, 2008, 2009 John W. Eaton |
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4 Copyirght (C) 2009 VZLU Prague |
4513 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
4513 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
4513 | 21 |
22 */ | |
23 | |
24 #if !defined (octave_dim_vector_h) | |
25 #define octave_dim_vector_h 1 | |
26 | |
27 #include <cassert> | |
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28 #include <limits> |
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29 |
5765 | 30 #include <sstream> |
4543 | 31 #include <string> |
32 | |
6216 | 33 #include "lo-error.h" |
4513 | 34 |
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35 // Rationale: This implementation is more tricky than Array, but the big plus |
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36 // is that dim_vector requires only one allocation instead of two. |
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37 // It is (slightly) patterned after GCC's basic_string implementation. |
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38 // rep is a pointer to an array of memory, comprising count, length, |
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39 // and the data: |
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40 // <count> |
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41 // <ndims> |
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42 // rep --> <dims[0]> |
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43 // <dims[1]> |
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44 // ... |
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45 // |
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46 // The inlines count(), ndims() recover this data |
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47 // from the rep. rep points to the beginning of dims to grant |
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48 // faster access (internally, reinterpret_cast is a no-op). |
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49 |
4513 | 50 class |
51 dim_vector | |
52 { | |
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53 private: |
4513 | 54 |
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55 octave_idx_type *rep; |
4548 | 56 |
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57 octave_idx_type& ndims() const |
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58 { return rep[-1]; } |
4513 | 59 |
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60 octave_idx_type& count() const |
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61 { return rep[-2]; } |
4513 | 62 |
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63 // Constructs a new rep with count = 1 and ndims given. |
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64 static octave_idx_type *newrep (int ndims) |
4513 | 65 { |
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66 octave_idx_type *r = new octave_idx_type[ndims + 2]; |
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67 *r++ = 1; *r++ = ndims; |
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68 return r; |
4513 | 69 } |
70 | |
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71 // Clones this->rep. |
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72 octave_idx_type *clonerep (void) |
4513 | 73 { |
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74 int l = ndims(); |
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75 octave_idx_type *r = new octave_idx_type[l + 2]; |
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76 *r++ = 1; *r++ = l; |
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77 for (int i = 0; i < l; i++) |
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78 r[i] = rep[i]; |
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79 return r; |
4548 | 80 } |
4513 | 81 |
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82 // Clones & resizes this->rep to length n, filling by given value. |
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83 octave_idx_type *resizerep (int n, octave_idx_type fill_value) |
4673 | 84 { |
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85 int l = ndims(); |
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86 if (n < 2) n = 2; |
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87 octave_idx_type *r = new octave_idx_type[n + 2]; |
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88 *r++ = 1; *r++ = n; |
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89 if (l > n) l = n; |
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90 int j; |
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91 for (j = 0; j < l; j++) |
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92 r[j] = rep[j]; |
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93 for (; j < n; j++) |
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94 r[j] = fill_value; |
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95 return r; |
4673 | 96 } |
97 | |
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98 // Frees the rep. |
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99 void freerep (void) |
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100 { |
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101 assert (count() == 0); |
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102 delete [] (rep - 2); |
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103 } |
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104 |
4548 | 105 void make_unique (void) |
106 { | |
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107 if (count() > 1) |
4548 | 108 { |
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109 --count(); |
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110 rep = clonerep (); |
4548 | 111 } |
112 } | |
113 | |
114 public: | |
115 | |
5275 | 116 explicit dim_vector (octave_idx_type n) |
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117 : rep (newrep (2)) |
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118 { |
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119 rep[0] = n; |
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120 rep[1] = 1; |
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121 } |
4548 | 122 |
5275 | 123 explicit dim_vector (octave_idx_type r, octave_idx_type c) |
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124 : rep (newrep (2)) |
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125 { |
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126 rep[0] = r; |
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127 rep[1] = c; |
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128 } |
4548 | 129 |
5275 | 130 explicit dim_vector (octave_idx_type r, octave_idx_type c, octave_idx_type p) |
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131 : rep (newrep (3)) |
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132 { |
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133 rep[0] = r; |
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134 rep[1] = c; |
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135 rep[2] = p; |
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136 } |
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137 |
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138 octave_idx_type& elem (int i) |
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139 { |
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140 assert (i >= 0 && i < ndims()); |
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141 make_unique (); |
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142 return rep[i]; |
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143 } |
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144 |
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145 octave_idx_type elem (int i) const |
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146 { |
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147 assert (i >= 0 && i < ndims()); |
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148 return rep[i]; |
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149 } |
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150 |
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151 void chop_trailing_singletons (void) |
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152 { |
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153 make_unique (); |
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154 int l = ndims(); |
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155 for (int i = l - 1; i > 1; i--) |
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156 { |
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157 if (rep[i] == 1) |
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158 l--; |
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159 else |
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160 break; |
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161 } |
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162 ndims() = l; |
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163 } |
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164 |
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165 void chop_all_singletons (void) |
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166 { |
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167 make_unique (); |
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168 int j = 0; |
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169 int l = ndims(); |
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170 |
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171 for (int i = 0; i < l; i++) |
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172 { |
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173 if (rep[i] != 1) |
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174 rep[j++] = rep[i]; |
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175 } |
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176 |
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177 if (j == 1) |
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178 rep[1] = 1; |
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179 |
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180 ndims() = j > 2 ? j : 2; |
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181 } |
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182 |
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183 private: |
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184 |
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185 static octave_idx_type *nil_rep (void) |
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186 { |
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187 static dim_vector zv (0, 0); |
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188 return zv.rep; |
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189 } |
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190 |
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191 explicit dim_vector (octave_idx_type *r) |
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192 : rep (r) { } |
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193 |
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194 public: |
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195 |
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196 explicit dim_vector (void) |
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197 : rep (nil_rep ()) { count()++; } |
4548 | 198 |
199 dim_vector (const dim_vector& dv) | |
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200 : rep (dv.rep) { count()++; } |
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201 |
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202 static dim_vector alloc (int n) |
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203 { |
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204 return dim_vector (newrep (n < 2 ? 2 : n)); |
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205 } |
4548 | 206 |
207 dim_vector& operator = (const dim_vector& dv) | |
208 { | |
209 if (&dv != this) | |
210 { | |
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211 if (--count() <= 0) |
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212 freerep (); |
4548 | 213 |
214 rep = dv.rep; | |
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215 count()++; |
4548 | 216 } |
217 | |
218 return *this; | |
219 } | |
220 | |
221 ~dim_vector (void) | |
222 { | |
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223 if (--count() <= 0) |
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224 freerep (); |
4548 | 225 } |
226 | |
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227 int length (void) const { return ndims(); } |
4513 | 228 |
5275 | 229 octave_idx_type& operator () (int i) { return elem (i); } |
4513 | 230 |
5275 | 231 octave_idx_type operator () (int i) const { return elem (i); } |
4513 | 232 |
4887 | 233 void resize (int n, int fill_value = 0) |
4548 | 234 { |
235 int len = length (); | |
4513 | 236 |
4548 | 237 if (n != len) |
238 { | |
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239 octave_idx_type *r = resizerep (n, fill_value); |
4513 | 240 |
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241 if (--count() <= 0) |
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242 freerep (); |
4513 | 243 |
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244 rep = r; |
4548 | 245 } |
246 } | |
4513 | 247 |
4559 | 248 std::string str (char sep = 'x') const |
4548 | 249 { |
5765 | 250 std::ostringstream buf; |
4543 | 251 |
4548 | 252 for (int i = 0; i < length (); i++) |
253 { | |
254 buf << elem (i); | |
4543 | 255 |
4548 | 256 if (i < length () - 1) |
4559 | 257 buf << sep; |
4548 | 258 } |
4543 | 259 |
5765 | 260 std::string retval = buf.str (); |
4543 | 261 |
4548 | 262 return retval; |
263 } | |
4543 | 264 |
265 bool all_zero (void) const | |
4548 | 266 { |
267 bool retval = true; | |
4543 | 268 |
4548 | 269 for (int i = 0; i < length (); i++) |
270 { | |
271 if (elem (i) != 0) | |
272 { | |
273 retval = false; | |
274 break; | |
275 } | |
276 } | |
4543 | 277 |
4548 | 278 return retval; |
279 } | |
4559 | 280 |
281 bool any_zero (void) const | |
282 { | |
283 bool retval = false; | |
284 | |
285 for (int i = 0; i < length (); i++) | |
286 { | |
287 if (elem (i) == 0) | |
288 { | |
289 retval = true; | |
290 break; | |
291 } | |
292 } | |
293 | |
294 return retval; | |
295 } | |
4567 | 296 |
4635 | 297 int |
298 num_ones (void) const | |
299 { | |
300 int retval = 0; | |
301 | |
302 for (int i = 0; i < length (); i++) | |
303 if (elem (i) == 1) | |
304 retval++; | |
305 | |
306 return retval; | |
307 } | |
308 | |
4655 | 309 bool |
310 all_ones (void) const | |
311 { | |
312 return (num_ones () == length ()); | |
313 } | |
314 | |
4567 | 315 // This is the number of elements that a matrix with this dimension |
316 // vector would have, NOT the number of dimensions (elements in the | |
317 // dimension vector). | |
318 | |
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319 octave_idx_type numel (int n = 0) const |
4567 | 320 { |
321 int n_dims = length (); | |
322 | |
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323 octave_idx_type retval = 1; |
4567 | 324 |
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325 for (int i = n; i < n_dims; i++) |
4567 | 326 retval *= elem (i); |
327 | |
328 return retval; | |
329 } | |
4673 | 330 |
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331 // The following function will throw a std::bad_alloc () |
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332 // exception if the requested size is larger than can be indexed by |
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333 // octave_idx_type. This may be smaller than the actual amount of |
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334 // memory that can be safely allocated on a system. However, if we |
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335 // don't fail here, we can end up with a mysterious crash inside a |
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336 // function that is iterating over an array using octave_idx_type |
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337 // indices. |
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338 |
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339 octave_idx_type safe_numel (void) const |
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340 { |
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341 octave_idx_type idx_max = std::numeric_limits<octave_idx_type>::max () - 1; |
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342 octave_idx_type n = 1; |
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343 int n_dims = length (); |
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344 for (int i = 0; i < n_dims; i++) |
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345 { |
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346 n *= rep[i]; |
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347 if (rep[i] != 0) |
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348 idx_max /= rep[i]; |
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349 if (idx_max <= 0) |
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350 throw std::bad_alloc (); |
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351 } |
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352 return n; |
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353 } |
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354 |
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355 bool any_neg (void) const |
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356 { |
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357 int n_dims = length (), i; |
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358 for (i = 0; i < n_dims; i++) |
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359 if (elem (i) < 0) break; |
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360 return i < n_dims; |
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361 } |
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362 |
4735 | 363 dim_vector squeeze (void) const |
364 { | |
365 dim_vector new_dims = *this; | |
366 | |
367 bool dims_changed = 1; | |
368 | |
369 int k = 0; | |
370 | |
371 for (int i = 0; i < length (); i++) | |
372 { | |
373 if (elem (i) == 1) | |
374 dims_changed = true; | |
375 else | |
376 new_dims(k++) = elem (i); | |
377 } | |
378 | |
379 if (dims_changed) | |
380 { | |
381 if (k == 0) | |
382 new_dims = dim_vector (1, 1); | |
383 else if (k == 1) | |
384 { | |
385 // There is one non-singleton dimension, so we need | |
386 // to decide the correct orientation. | |
387 | |
388 if (elem (0) == 1) | |
389 { | |
390 // The original dimension vector had a leading | |
391 // singleton dimension. | |
392 | |
5275 | 393 octave_idx_type tmp = new_dims(0); |
4735 | 394 |
395 new_dims.resize (2); | |
396 | |
397 new_dims(0) = 1; | |
398 new_dims(1) = tmp; | |
399 } | |
400 else | |
401 { | |
402 // The first element of the original dimension vector | |
403 // was not a singleton dimension. | |
404 | |
405 new_dims.resize (2); | |
406 | |
407 new_dims(1) = 1; | |
408 } | |
409 } | |
410 else | |
411 new_dims.resize(k); | |
412 } | |
413 | |
414 return new_dims; | |
415 } | |
4915 | 416 |
417 bool concat (const dim_vector& dvb, int dim = 0) | |
418 { | |
419 if (all_zero ()) | |
420 { | |
421 *this = dvb; | |
422 return true; | |
423 } | |
424 | |
425 if (dvb.all_zero ()) | |
426 return true; | |
427 | |
428 int na = length (); | |
429 int nb = dvb.length (); | |
430 | |
431 // Find the max and min value of na and nb | |
432 int n_max = na > nb ? na : nb; | |
433 int n_min = na < nb ? na : nb; | |
434 | |
435 // The elements of the dimension vectors can only differ | |
436 // if the dim variable differs from the actual dimension | |
437 // they differ. | |
438 | |
439 for (int i = 0; i < n_min; i++) | |
440 { | |
441 if (elem(i) != dvb(i) && dim != i) | |
442 return false; | |
443 } | |
444 | |
445 // Ditto. | |
446 for (int i = n_min; i < n_max; i++) | |
447 { | |
448 if (na > n_min) | |
449 { | |
450 if (elem(i) != 1 && dim != i) | |
451 return false; | |
452 } | |
453 else | |
454 { | |
455 if (dvb(i) != 1 && dim != i) | |
456 return false; | |
457 } | |
458 } | |
459 | |
460 // If we want to add the dimension vectors at a dimension | |
461 // larger than both, then we need to set n_max to this number | |
462 // so that we resize *this to the right dimension. | |
463 | |
464 n_max = n_max > (dim + 1) ? n_max : (dim + 1); | |
465 | |
466 // Resize *this to the appropriate dimensions. | |
467 | |
468 if (n_max > na) | |
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469 resize (n_max, 1); |
4915 | 470 |
471 // Larger or equal since dim has been decremented by one. | |
472 | |
473 if (dim >= nb) | |
4940 | 474 elem (dim)++; |
4915 | 475 else |
476 elem (dim) += dvb(dim); | |
477 | |
478 return true; | |
479 } | |
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480 |
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481 // Forces certain dimensionality, preserving numel (). Missing dimensions are |
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482 // set to 1, redundant are folded into the trailing one. If n = 1, the result |
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483 // is 2d and the second dim is 1 (dim_vectors are always at least 2D). |
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484 // If the original dimensions were all zero, the padding value is zero. |
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485 dim_vector redim (int n) const |
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486 { |
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487 int n_dims = length (); |
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488 if (n_dims == n) |
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489 return *this; |
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490 else if (n_dims < n) |
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491 { |
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492 dim_vector retval = alloc (n); |
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493 |
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494 int pad = 0; |
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495 for (int i = 0; i < n_dims; i++) |
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496 { |
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497 retval.rep[i] = rep[i]; |
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498 if (rep[i] != 0) |
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499 pad = 1; |
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500 } |
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501 |
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502 for (int i = n_dims; i < n; i++) |
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503 retval.rep[i] = pad; |
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504 |
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505 return retval; |
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506 } |
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507 else |
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508 { |
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509 if (n < 1) n = 1; |
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510 |
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511 dim_vector retval = alloc (n); |
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512 |
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513 retval.rep[1] = 1; |
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514 |
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515 for (int i = 0; i < n-1; i++) |
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516 retval.rep[i] = rep[i]; |
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517 |
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518 int k = rep[n-1]; |
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519 for (int i = n; i < n_dims; i++) |
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520 k *= rep[i]; |
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521 |
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522 retval.rep[n-1] = k; |
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523 |
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524 return retval; |
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525 } |
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526 } |
8721
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527 |
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528 bool is_vector (void) const |
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529 { |
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530 return (length () == 2 && (elem (0) == 1 || elem (1) == 1)); |
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531 } |
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532 |
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533 int first_non_singleton (int def = 0) const |
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534 { |
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535 for (int i = 0; i < length (); i++) |
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536 { |
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537 if (elem (i) != 1) |
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538 return i; |
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539 } |
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540 |
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541 return def; |
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542 } |
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543 |
9739
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544 // Computes a linear index from an index tuple. |
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545 octave_idx_type compute_index (const octave_idx_type *idx) |
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546 { |
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547 octave_idx_type k = 0; |
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548 for (int i = length () - 1; i >= 0; i--) |
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549 k = k * rep[i] + idx[i]; |
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550 |
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551 return k; |
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552 } |
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553 |
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554 // Increments a multi-dimensional index tuple, optionally starting |
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555 // from an offset position. Returns the index of the last index |
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556 // position that was changed, or length () if just cycled over. |
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557 int increment_index (octave_idx_type *idx, int start = 0) |
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558 { |
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559 int i; |
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560 for (i = start; i < length (); i++) |
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561 { |
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562 if (++(*idx) == rep[i]) |
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563 *idx++ = 0; |
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564 else |
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565 break; |
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566 } |
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567 return i; |
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568 } |
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569 |
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570 // Returns cumulative dimensions. |
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571 dim_vector cumulative (void) const |
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572 { |
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573 int nd = length (); |
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574 dim_vector retval = alloc (nd); |
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575 |
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576 octave_idx_type k = 1; |
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577 for (int i = 0; i < nd; i++) |
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578 retval.rep[i] = k *= rep[i]; |
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|
579 |
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580 return retval; |
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581 } |
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|
582 |
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583 // Computes a linear index from an index tuple. Assumes that the dimensions |
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584 // are cumulative. |
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585 octave_idx_type cum_compute_index (const octave_idx_type *idx) |
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586 { |
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587 octave_idx_type k = idx[0]; |
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|
588 |
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589 for (int i = 1; i < length (); i++) |
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590 k += rep[i-1] * idx[i]; |
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591 |
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592 return k; |
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593 } |
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|
594 |
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|
595 |
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|
596 friend bool operator == (const dim_vector& a, const dim_vector& b); |
4513 | 597 }; |
598 | |
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599 inline bool |
4543 | 600 operator == (const dim_vector& a, const dim_vector& b) |
601 { | |
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602 // Fast case. |
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603 if (a.rep == b.rep) |
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604 return true; |
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|
605 |
4543 | 606 bool retval = true; |
607 | |
608 int a_len = a.length (); | |
609 int b_len = b.length (); | |
610 | |
611 if (a_len != b_len) | |
612 retval = false; | |
613 else | |
614 { | |
615 for (int i = 0; i < a_len; i++) | |
616 { | |
617 if (a(i) != b(i)) | |
618 { | |
619 retval = false; | |
620 break; | |
621 } | |
622 } | |
623 } | |
624 | |
625 return retval; | |
626 } | |
627 | |
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628 inline bool |
4543 | 629 operator != (const dim_vector& a, const dim_vector& b) |
630 { | |
631 return ! operator == (a, b); | |
632 } | |
633 | |
4513 | 634 #endif |
635 | |
636 /* | |
637 ;;; Local Variables: *** | |
638 ;;; mode: C++ *** | |
639 ;;; End: *** | |
640 */ |