annotate liboctave/array/Range.cc @ 20492:642ce72cf1ab

maint: Periodic merge of stable to default.
author Rik <rik@octave.org>
date Thu, 20 Aug 2015 06:42:54 -0700
parents 00cf2847355d 7e9c752138ec
children 96153b16febe
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1 /*
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2
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3 Copyright (C) 1993-2015 John W. Eaton
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
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27 #include <cfloat>
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29 #include <iostream>
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30 #include <limits>
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32 #include "Range.h"
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33 #include "lo-error.h"
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34 #include "lo-mappers.h"
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35 #include "lo-math.h"
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36 #include "lo-utils.h"
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37 #include "Array-util.h"
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38
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39 bool
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40 Range::all_elements_are_ints (void) const
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41 {
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42 // If the base and increment are ints, the final value in the range
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43 // will also be an integer, even if the limit is not. If there is one
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44 // or fewer elements only the base needs to be an integer
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45
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46 return (! (xisnan (rng_base) || xisnan (rng_inc))
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47 && (NINTbig (rng_base) == rng_base || rng_numel < 1)
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48 && (NINTbig (rng_inc) == rng_inc || rng_numel <= 1));
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49 }
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50
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51 Matrix
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52 Range::matrix_value (void) const
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53 {
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54 if (rng_numel > 0 && cache.numel () == 0)
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55 {
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56 cache.resize (1, rng_numel);
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57 double b = rng_base;
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58 double increment = rng_inc;
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59 if (rng_numel > 0)
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60 {
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61 // The first element must always be *exactly* the base.
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62 // E.g, -0 would otherwise become +0 in the loop (-0 + 0*increment).
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63 cache(0) = b;
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64 for (octave_idx_type i = 1; i < rng_numel; i++)
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65 cache(i) = b + i * increment;
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66 }
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68 // On some machines (x86 with extended precision floating point
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69 // arithmetic, for example) it is possible that we can overshoot
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70 // the limit by approximately the machine precision even though
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71 // we were very careful in our calculation of the number of
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72 // elements. The tests need equality (>= rng_limit or <= rng_limit)
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73 // to have expressions like -5:1:-0 result in a -0 endpoint.
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75 if ((rng_inc > 0 && cache(rng_numel-1) >= rng_limit)
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76 || (rng_inc < 0 && cache(rng_numel-1) <= rng_limit))
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77 cache(rng_numel-1) = rng_limit;
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78 }
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79
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80 return cache;
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81 }
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82
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83 double
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84 Range::checkelem (octave_idx_type i) const
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85 {
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86 if (i < 0 || i >= rng_numel)
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87 gripe_index_out_of_range (1, 1, i+1, rng_numel);
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88
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89 if (i == 0)
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90 return rng_base;
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91 else if (i < rng_numel - 1)
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92 return rng_base + i * rng_inc;
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93 else
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94 {
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95 double end = rng_base + i * rng_inc;
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96 if ((rng_inc > 0 && end >= rng_limit)
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97 || (rng_inc < 0 && end <= rng_limit))
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98 return rng_limit;
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99 else
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100 return end;
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101 }
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102 }
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103
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104 double
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105 Range::elem (octave_idx_type i) const
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106 {
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107 #if defined (BOUNDS_CHECKING)
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108 return checkelem (i);
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109 #else
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110 if (i == 0)
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111 return rng_base;
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112 else if (i < rng_numel - 1)
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113 return rng_base + i * rng_inc;
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114 else
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115 {
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116 double end = rng_base + i * rng_inc;
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117 if ((rng_inc > 0 && end >= rng_limit)
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118 || (rng_inc < 0 && end <= rng_limit))
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119 return rng_limit;
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120 else
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121 return end;
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122 }
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123 #endif
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124 }
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125
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126 // Helper class used solely for idx_vector.loop () function call
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127 class __rangeidx_helper
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128 {
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129 public:
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130 __rangeidx_helper (double *a, double b, double i, double l, octave_idx_type n)
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131 : array (a), base (b), inc (i), limit (l), nmax (n-1) { }
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132
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133 void operator () (octave_idx_type i)
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134 {
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135 if (i == 0)
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136 *array++ = base;
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137 else if (i < nmax)
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138 *array++ = base + i * inc;
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139 else
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140 {
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141 double end = base + i * inc;
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142 if ((inc > 0 && end >= limit) || (inc < 0 && end <= limit))
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143 *array++ = limit;
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144 else
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145 *array++ = end;
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146 }
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147 }
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148
17769
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149 private:
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150
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151 double *array, base, inc, limit;
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152 octave_idx_type nmax;
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153
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154 };
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155
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156 Array<double>
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157 Range::index (const idx_vector& i) const
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158 {
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159 Array<double> retval;
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160
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161 octave_idx_type n = rng_numel;
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162
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163 if (i.is_colon ())
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164 {
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165 retval = matrix_value ().reshape (dim_vector (rng_numel, 1));
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166 }
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167 else
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168 {
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169 if (i.extent (n) != n)
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170 gripe_index_out_of_range (1, 1, i.extent (n), n); // throws
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171
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172 dim_vector rd = i.orig_dimensions ();
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173 octave_idx_type il = i.length (n);
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174
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175 // taken from Array.cc.
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176 if (n != 1 && rd.is_vector ())
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177 rd = dim_vector (1, il);
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178
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179 retval.clear (rd);
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180
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181 // idx_vector loop across all values in i,
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182 // executing __rangeidx_helper (i) for each i
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183 i.loop (n, __rangeidx_helper (retval.fortran_vec (),
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184 rng_base, rng_inc, rng_limit, rng_numel));
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185 }
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186
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187 return retval;
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188 }
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189
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190 // NOTE: max and min only return useful values if numel > 0.
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191 // do_minmax_body() in max.cc avoids calling Range::min/max if numel == 0.
208
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192
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193 double
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194 Range::min (void) const
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195 {
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196 double retval = 0.0;
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197 if (rng_numel > 0)
208
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198 {
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199 if (rng_inc > 0)
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200 retval = rng_base;
208
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201 else
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202 {
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203 retval = rng_base + (rng_numel - 1) * rng_inc;
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204
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205 // See the note in the matrix_value method above.
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206 if (retval <= rng_limit)
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207 retval = rng_limit;
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208 }
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209
208
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210 }
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211 return retval;
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212 }
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213
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214 double
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215 Range::max (void) const
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216 {
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217 double retval = 0.0;
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218 if (rng_numel > 0)
208
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219 {
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220 if (rng_inc > 0)
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221 {
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222 retval = rng_base + (rng_numel - 1) * rng_inc;
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223
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224 // See the note in the matrix_value method above.
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225 if (retval >= rng_limit)
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226 retval = rng_limit;
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227 }
208
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228 else
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229 retval = rng_base;
208
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230 }
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231 return retval;
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232 }
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233
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234 void
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235 Range::sort_internal (bool ascending)
208
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236 {
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237 if (ascending && rng_base > rng_limit && rng_inc < 0.0)
208
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238 {
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239 double tmp = rng_base;
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240 rng_base = min ();
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241 rng_limit = tmp;
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242 rng_inc = -rng_inc;
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243 clear_cache ();
208
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244 }
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245 else if (! ascending && rng_base < rng_limit && rng_inc > 0.0)
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246 {
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247 double tmp = max ();
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248 rng_limit = min ();
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249 rng_base = tmp;
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250 rng_inc = -rng_inc;
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251 clear_cache ();
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252 }
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253 }
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254
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255 void
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256 Range::sort_internal (Array<octave_idx_type>& sidx, bool ascending)
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257 {
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258 octave_idx_type nel = numel ();
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259
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260 sidx.resize (dim_vector (1, nel));
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261
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262 octave_idx_type *psidx = sidx.fortran_vec ();
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263
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264 bool reverse = false;
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265
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266 if (ascending && rng_base > rng_limit && rng_inc < 0.0)
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267 {
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268 double tmp = rng_base;
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269 rng_base = min ();
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270 rng_limit = tmp;
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271 rng_inc = -rng_inc;
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272 clear_cache ();
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273 reverse = true;
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274 }
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275 else if (! ascending && rng_base < rng_limit && rng_inc > 0.0)
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276 {
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277 double tmp = max ();
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278 rng_limit = min ();
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279 rng_base = tmp;
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280 rng_inc = -rng_inc;
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281 clear_cache ();
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282 reverse = true;
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283 }
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284
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285 octave_idx_type tmp = reverse ? nel - 1 : 0;
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286 octave_idx_type stp = reverse ? -1 : 1;
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287
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288 for (octave_idx_type i = 0; i < nel; i++, tmp += stp)
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289 psidx[i] = tmp;
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290
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291 }
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diff changeset
292
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
293 Matrix
7620
36594d5bbe13 Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents: 7467
diff changeset
294 Range::diag (octave_idx_type k) const
36594d5bbe13 Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents: 7467
diff changeset
295 {
8971
967a692ddfe2 fix range arithmetics
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parents: 8920
diff changeset
296 return matrix_value ().diag (k);
7620
36594d5bbe13 Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents: 7467
diff changeset
297 }
36594d5bbe13 Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents: 7467
diff changeset
298
7458
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parents: 7231
diff changeset
299 Range
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
300 Range::sort (octave_idx_type dim, sortmode mode) const
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
301 {
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
302 Range retval = *this;
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
303
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
304 if (dim == 1)
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
305 {
7463
2467639bd8c0 eliminate UNDEFINED sort mode
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parents: 7458
diff changeset
306 if (mode == ASCENDING)
10314
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parents: 10158
diff changeset
307 retval.sort_internal (true);
7463
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parents: 7458
diff changeset
308 else if (mode == DESCENDING)
10314
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parents: 10158
diff changeset
309 retval.sort_internal (false);
7458
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parents: 7231
diff changeset
310 }
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
311 else if (dim != 0)
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
312 (*current_liboctave_error_handler) ("Range::sort: invalid dimension");
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parents: 7231
diff changeset
313
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parents: 7231
diff changeset
314 return retval;
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parents: 7231
diff changeset
315 }
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parents: 7231
diff changeset
316
1032e24f199f make sort work for ranges
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parents: 7231
diff changeset
317 Range
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parents: 7231
diff changeset
318 Range::sort (Array<octave_idx_type>& sidx, octave_idx_type dim,
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diff changeset
319 sortmode mode) const
7458
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diff changeset
320 {
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parents: 7231
diff changeset
321 Range retval = *this;
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parents: 7231
diff changeset
322
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parents: 7231
diff changeset
323 if (dim == 1)
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parents: 7231
diff changeset
324 {
7463
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parents: 7458
diff changeset
325 if (mode == ASCENDING)
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0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
326 retval.sort_internal (sidx, true);
7463
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parents: 7458
diff changeset
327 else if (mode == DESCENDING)
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diff changeset
328 retval.sort_internal (sidx, false);
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parents: 7231
diff changeset
329 }
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parents: 7231
diff changeset
330 else if (dim != 0)
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parents: 7231
diff changeset
331 (*current_liboctave_error_handler) ("Range::sort: invalid dimension");
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parents: 7231
diff changeset
332
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parents: 7231
diff changeset
333 return retval;
208
380cb9ccc889 [project @ 1993-11-12 10:35:05 by jwe]
jwe
parents: 3
diff changeset
334 }
380cb9ccc889 [project @ 1993-11-12 10:35:05 by jwe]
jwe
parents: 3
diff changeset
335
8721
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parents: 8589
diff changeset
336 sortmode
e9cb742df9eb imported patch sort3.diff
Jaroslav Hajek <highegg@gmail.com>
parents: 8589
diff changeset
337 Range::is_sorted (sortmode mode) const
e9cb742df9eb imported patch sort3.diff
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parents: 8589
diff changeset
338 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
339 if (rng_numel > 1 && rng_inc > 0)
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Rik <rik@octave.org>
parents: 15271
diff changeset
340 mode = (mode == DESCENDING) ? UNSORTED : ASCENDING;
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
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parents: 19731
diff changeset
341 else if (rng_numel > 1 && rng_inc < 0)
8721
e9cb742df9eb imported patch sort3.diff
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parents: 8589
diff changeset
342 mode = (mode == ASCENDING) ? UNSORTED : DESCENDING;
e9cb742df9eb imported patch sort3.diff
Jaroslav Hajek <highegg@gmail.com>
parents: 8589
diff changeset
343 else
e9cb742df9eb imported patch sort3.diff
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diff changeset
344 mode = mode ? mode : ASCENDING;
8742
d2b06871afac add missing return statement
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diff changeset
345
d2b06871afac add missing return statement
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parents: 8721
diff changeset
346 return mode;
8721
e9cb742df9eb imported patch sort3.diff
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parents: 8589
diff changeset
347 }
e9cb742df9eb imported patch sort3.diff
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parents: 8589
diff changeset
348
3504
5eef8a2294bd [project @ 2000-02-01 10:06:51 by jwe]
jwe
parents: 3503
diff changeset
349 std::ostream&
5eef8a2294bd [project @ 2000-02-01 10:06:51 by jwe]
jwe
parents: 3503
diff changeset
350 operator << (std::ostream& os, const Range& a)
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
351 {
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
352 double b = a.base ();
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
353 double increment = a.inc ();
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
354 octave_idx_type num_elem = a.numel ();
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
355
16169
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
356 if (num_elem > 1)
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
357 {
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
358 // First element must be the base *exactly* (-0).
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
359 os << b << " ";
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
360 for (octave_idx_type i = 1; i < num_elem-1; i++)
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
361 os << b + i * increment << " ";
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
362 }
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
363
16169
0303fda3e929 Fix range behavior with -0 endpoints (bug #38423)
Rik <rik@octave.org>
parents: 15271
diff changeset
364 // Prevent overshoot. See comment in the matrix_value method above.
4791
62f2fb593455 [project @ 2004-02-20 18:02:59 by jwe]
jwe
parents: 4192
diff changeset
365 os << (increment > 0 ? a.max () : a.min ()) << "\n";
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
366
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
367 return os;
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
368 }
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
369
3504
5eef8a2294bd [project @ 2000-02-01 10:06:51 by jwe]
jwe
parents: 3503
diff changeset
370 std::istream&
5eef8a2294bd [project @ 2000-02-01 10:06:51 by jwe]
jwe
parents: 3503
diff changeset
371 operator >> (std::istream& is, Range& a)
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
372 {
208
380cb9ccc889 [project @ 1993-11-12 10:35:05 by jwe]
jwe
parents: 3
diff changeset
373 is >> a.rng_base;
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
374 if (is)
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
375 {
208
380cb9ccc889 [project @ 1993-11-12 10:35:05 by jwe]
jwe
parents: 3
diff changeset
376 is >> a.rng_limit;
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
377 if (is)
10314
07ebe522dac2 untabify liboctave C++ sources
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diff changeset
378 {
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
379 is >> a.rng_inc;
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
380 a.rng_numel = a.numel_internal ();
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
381 }
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
382 }
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
383
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
384 return is;
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
385 }
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
386
2599
9705ea40f0a2 [project @ 1996-12-19 04:49:09 by jwe]
jwe
parents: 2383
diff changeset
387 Range
9705ea40f0a2 [project @ 1996-12-19 04:49:09 by jwe]
jwe
parents: 2383
diff changeset
388 operator - (const Range& r)
9705ea40f0a2 [project @ 1996-12-19 04:49:09 by jwe]
jwe
parents: 2383
diff changeset
389 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
390 return Range (-r.base (), -r.limit (), -r.inc (), r.numel ());
2599
9705ea40f0a2 [project @ 1996-12-19 04:49:09 by jwe]
jwe
parents: 2383
diff changeset
391 }
9705ea40f0a2 [project @ 1996-12-19 04:49:09 by jwe]
jwe
parents: 2383
diff changeset
392
8553
c7ff200e45f5 optimize range-scalar ops
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parents: 7620
diff changeset
393 Range operator + (double x, const Range& r)
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
394 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
395 Range result (x + r.base (), x + r.limit (), r.inc (), r.numel ());
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
396 if (result.rng_numel < 0)
8971
967a692ddfe2 fix range arithmetics
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parents: 8920
diff changeset
397 result.cache = x + r.matrix_value ();
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
398
967a692ddfe2 fix range arithmetics
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parents: 8920
diff changeset
399 return result;
8553
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diff changeset
400 }
c7ff200e45f5 optimize range-scalar ops
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parents: 7620
diff changeset
401
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
402 Range operator + (const Range& r, double x)
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
403 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
404 Range result (r.base () + x, r.limit () + x, r.inc (), r.numel ());
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
405 if (result.rng_numel < 0)
8971
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
406 result.cache = r.matrix_value () + x;
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
407
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
408 return result;
8553
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
409 }
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
410
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
411 Range operator - (double x, const Range& r)
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
412 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
413 Range result (x - r.base (), x - r.limit (), -r.inc (), r.numel ());
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
414 if (result.rng_numel < 0)
8971
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
415 result.cache = x - r.matrix_value ();
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
416
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
417 return result;
8553
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
418 }
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
419
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
420 Range operator - (const Range& r, double x)
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
421 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
422 Range result (r.base () - x, r.limit () - x, r.inc (), r.numel ());
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
423 if (result.rng_numel < 0)
8971
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
424 result.cache = r.matrix_value () - x;
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
425
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
426 return result;
8553
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
427 }
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
428
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
429 Range operator * (double x, const Range& r)
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
430 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
431 Range result (x * r.base (), x * r.limit (), x * r.inc (), r.numel ());
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
432 if (result.rng_numel < 0)
8971
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
433 result.cache = x * r.matrix_value ();
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
434
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
435 return result;
8553
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
436 }
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
437
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
438 Range operator * (const Range& r, double x)
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
439 {
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
440 Range result (r.base () * x, r.limit () * x, r.inc () * x, r.numel ());
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
441 if (result.rng_numel < 0)
8971
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
442 result.cache = r.matrix_value () * x;
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
443
967a692ddfe2 fix range arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
444 return result;
8553
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
445 }
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
446
c7ff200e45f5 optimize range-scalar ops
Jaroslav Hajek <highegg@gmail.com>
parents: 7620
diff changeset
447
1546
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
448 // C See Knuth, Art Of Computer Programming, Vol. 1, Problem 1.2.4-5.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
449 // C
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
450 // C===Tolerant FLOOR function.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
451 // C
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
452 // C X - is given as a Double Precision argument to be operated on.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
453 // C It is assumed that X is represented with M mantissa bits.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
454 // C CT - is given as a Comparison Tolerance such that
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
455 // C 0.LT.CT.LE.3-SQRT(5)/2. If the relative difference between
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
456 // C X and A whole number is less than CT, then TFLOOR is
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
457 // C returned as this whole number. By treating the
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
458 // C floating-point numbers as a finite ordered set note that
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
459 // C the heuristic EPS=2.**(-(M-1)) and CT=3*EPS causes
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
460 // C arguments of TFLOOR/TCEIL to be treated as whole numbers
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
461 // C if they are exactly whole numbers or are immediately
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
462 // C adjacent to whole number representations. Since EPS, the
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
463 // C "distance" between floating-point numbers on the unit
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
464 // C interval, and M, the number of bits in X'S mantissa, exist
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
465 // C on every floating-point computer, TFLOOR/TCEIL are
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
466 // C consistently definable on every floating-point computer.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
467 // C
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
468 // C For more information see the following references:
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
469 // C (1) P. E. Hagerty, "More On Fuzzy Floor And Ceiling," APL QUOTE
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
470 // C QUAD 8(4):20-24, June 1978. Note that TFLOOR=FL5.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
471 // C (2) L. M. Breed, "Definitions For Fuzzy Floor And Ceiling", APL
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
472 // C QUOTE QUAD 8(3):16-23, March 1978. This paper cites FL1 through
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
473 // C FL5, the history of five years of evolutionary development of
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
474 // C FL5 - the seven lines of code below - by open collaboration
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
475 // C and corroboration of the mathematical-computing community.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
476 // C
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
477 // C Penn State University Center for Academic Computing
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
478 // C H. D. Knoble - August, 1978.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
479
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
480 static inline double
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
481 tfloor (double x, double ct)
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
482 {
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
483 // C---------FLOOR(X) is the largest integer algebraically less than
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
484 // C or equal to X; that is, the unfuzzy FLOOR function.
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
485
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
486 // DINT (X) = X - DMOD (X, 1.0);
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
487 // FLOOR (X) = DINT (X) - DMOD (2.0 + DSIGN (1.0, X), 3.0);
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
488
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
489 // C---------Hagerty's FL5 function follows...
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
490
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
491 double q = 1.0;
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
492
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
493 if (x < 0.0)
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
494 q = 1.0 - ct;
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
495
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
496 double rmax = q / (2.0 - ct);
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
497
11450
5eb10763069f substitute and use LAPACK_LIBS in mkoctfile script
John W. Eaton <jwe@octave.org>
parents: 10366
diff changeset
498 double t1 = 1.0 + gnulib::floor (x);
1546
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
499 t1 = (ct / q) * (t1 < 0.0 ? -t1 : t1);
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
500 t1 = rmax < t1 ? rmax : t1;
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
501 t1 = ct > t1 ? ct : t1;
11450
5eb10763069f substitute and use LAPACK_LIBS in mkoctfile script
John W. Eaton <jwe@octave.org>
parents: 10366
diff changeset
502 t1 = gnulib::floor (x + t1);
1546
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
503
1555
6935e817fd25 [project @ 1995-10-11 05:49:55 by jwe]
jwe
parents: 1548
diff changeset
504 if (x <= 0.0 || (t1 - x) < rmax)
1546
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
505 return t1;
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
506 else
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
507 return t1 - 1.0;
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
508 }
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
509
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
510 static inline double
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
511 tceil (double x, double ct)
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
512 {
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
513 return -tfloor (-x, ct);
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
514 }
a272c4056bab [project @ 1995-10-07 03:38:40 by jwe]
jwe
parents: 1367
diff changeset
515
3753
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
516 static inline bool
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
517 teq (double u, double v,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
518 double ct = 3.0 * std::numeric_limits<double>::epsilon ())
3753
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
519 {
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
520 double tu = fabs (u);
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
521 double tv = fabs (v);
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
522
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
523 return fabs (u - v) < ((tu > tv ? tu : tv) * ct);
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
524 }
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
525
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5105
diff changeset
526 octave_idx_type
20263
00cf2847355d Deprecate Array::nelem() and Range::nelem() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents: 19731
diff changeset
527 Range::numel_internal (void) const
1360
7eb93d12654c [project @ 1995-09-05 21:51:54 by jwe]
jwe
parents: 1315
diff changeset
528 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5105
diff changeset
529 octave_idx_type retval = -1;
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
530
3858
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
531 if (rng_inc == 0
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
532 || (rng_limit > rng_base && rng_inc < 0)
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
533 || (rng_limit < rng_base && rng_inc > 0))
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
534 {
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
535 retval = 0;
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
536 }
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
537 else
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
538 {
15220
61822c866ba1 use std::numeric_limits<T>::epsilon in C++ code
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
539 double ct = 3.0 * std::numeric_limits<double>::epsilon ();
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
540
3858
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
541 double tmp = tfloor ((rng_limit - rng_base + rng_inc) / rng_inc, ct);
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
542
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
543 octave_idx_type n_elt = (tmp > 0.0 ? static_cast<octave_idx_type> (tmp)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
544 : 0);
398
167ea9ebd5a0 [project @ 1994-04-06 18:41:44 by jwe]
jwe
parents: 238
diff changeset
545
3858
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
546 // If the final element that we would compute for the range is
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
547 // equal to the limit of the range, or is an adjacent floating
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
548 // point number, accept it. Otherwise, try a range with one
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
549 // fewer element. If that fails, try again with one more
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
550 // element.
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
551 //
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
552 // I'm not sure this is very good, but it seems to work better than
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
553 // just using tfloor as above. For example, without it, the
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
554 // expression 1.8:0.05:1.9 fails to produce the expected result of
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
555 // [1.8, 1.85, 1.9].
3753
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
556
3858
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
557 if (! teq (rng_base + (n_elt - 1) * rng_inc, rng_limit))
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
558 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
559 if (teq (rng_base + (n_elt - 2) * rng_inc, rng_limit))
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
560 n_elt--;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
561 else if (teq (rng_base + n_elt * rng_inc, rng_limit))
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
562 n_elt++;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
563 }
3858
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
564
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
565 retval = (n_elt < std::numeric_limits<octave_idx_type>::max () - 1)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
566 ? n_elt : -1;
3753
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
567 }
f751e43de300 [project @ 2000-12-14 03:01:23 by jwe]
jwe
parents: 3751
diff changeset
568
3858
de05e6bdf897 [project @ 2001-11-08 19:34:22 by jwe]
jwe
parents: 3753
diff changeset
569 return retval;
3
9a4c07481e61 [project @ 1993-08-08 01:20:23 by jwe]
jwe
parents:
diff changeset
570 }