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1 /* |
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3 Copyright (C) 1996 John W. Eaton |
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4 |
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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 2, or (at your option) any |
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10 later version. |
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11 |
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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, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #if defined (__GNUG__) |
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24 #pragma implementation |
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25 #endif |
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26 |
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27 #ifdef HAVE_CONFIG_H |
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28 #include <config.h> |
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29 #endif |
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30 |
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31 #include <cfloat> |
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32 #include <climits> |
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33 #include <cmath> |
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34 |
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35 #include <iostream.h> |
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36 |
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37 #include "Range.h" |
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38 #include "dMatrix.h" |
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39 |
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40 Matrix |
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41 Range::matrix_value (void) const |
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42 { |
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43 Matrix retval; |
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44 |
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45 if (rng_nelem > 0) |
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46 { |
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47 retval.resize (1, rng_nelem); |
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48 double b = rng_base; |
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49 double increment = rng_inc; |
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50 for (int i = 0; i < rng_nelem; i++) |
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51 retval.elem (0, i) = b + i * increment; |
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52 } |
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53 |
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54 return retval; |
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55 } |
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56 |
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57 // NOTE: max and min only return useful values if nelem > 0. |
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58 |
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59 double |
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60 Range::min (void) const |
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61 { |
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62 double retval = 0.0; |
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63 if (rng_nelem > 0) |
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64 { |
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65 if (rng_inc > 0) |
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66 retval = rng_base; |
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67 else |
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68 retval = rng_base + (rng_nelem - 1) * rng_inc; |
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69 } |
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70 return retval; |
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71 } |
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72 |
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73 double |
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74 Range::max (void) const |
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75 { |
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76 double retval = 0.0; |
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77 if (rng_nelem > 0) |
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78 { |
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79 if (rng_inc > 0) |
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80 retval = rng_base + (rng_nelem - 1) * rng_inc; |
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81 else |
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82 retval = rng_base; |
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83 } |
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84 return retval; |
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85 } |
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86 |
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87 void |
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88 Range::sort (void) |
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89 { |
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90 if (rng_base > rng_limit && rng_inc < 0.0) |
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91 { |
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92 double tmp = rng_base; |
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93 rng_base = min (); |
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94 rng_limit = tmp; |
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95 rng_inc = -rng_inc; |
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96 } |
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97 } |
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98 |
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99 void |
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100 Range::print_range (void) |
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101 { |
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102 cerr << "Range: rng_base = " << rng_base |
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103 << " rng_limit " << rng_limit |
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104 << " rng_inc " << rng_inc |
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105 << " rng_nelem " << rng_nelem << "\n"; |
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106 } |
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107 |
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108 ostream& |
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109 operator << (ostream& os, const Range& a) |
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110 { |
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111 double b = a.base (); |
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112 double increment = a.inc (); |
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113 int num_elem = a.nelem (); |
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114 |
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115 for (int i = 0; i < num_elem; i++) |
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116 os << b + i * increment << " "; |
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117 |
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118 os << "\n"; |
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119 |
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120 return os; |
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121 } |
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122 |
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123 istream& |
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124 operator >> (istream& is, Range& a) |
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125 { |
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126 is >> a.rng_base; |
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127 if (is) |
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128 { |
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129 is >> a.rng_limit; |
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130 if (is) |
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131 { |
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132 is >> a.rng_inc; |
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133 a.rng_nelem = a.nelem_internal (); |
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134 } |
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135 } |
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136 |
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137 return is; |
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138 } |
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139 |
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140 // C See Knuth, Art Of Computer Programming, Vol. 1, Problem 1.2.4-5. |
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141 // C |
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142 // C===Tolerant FLOOR function. |
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143 // C |
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144 // C X - is given as a Double Precision argument to be operated on. |
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145 // C It is assumed that X is represented with M mantissa bits. |
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146 // C CT - is given as a Comparison Tolerance such that |
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147 // C 0.LT.CT.LE.3-SQRT(5)/2. If the relative difference between |
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148 // C X and A whole number is less than CT, then TFLOOR is |
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149 // C returned as this whole number. By treating the |
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150 // C floating-point numbers as a finite ordered set note that |
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151 // C the heuristic EPS=2.**(-(M-1)) and CT=3*EPS causes |
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152 // C arguments of TFLOOR/TCEIL to be treated as whole numbers |
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153 // C if they are exactly whole numbers or are immediately |
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154 // C adjacent to whole number representations. Since EPS, the |
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155 // C "distance" between floating-point numbers on the unit |
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156 // C interval, and M, the number of bits in X'S mantissa, exist |
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157 // C on every floating-point computer, TFLOOR/TCEIL are |
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158 // C consistently definable on every floating-point computer. |
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159 // C |
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160 // C For more information see the following references: |
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161 // C (1) P. E. Hagerty, "More On Fuzzy Floor And Ceiling," APL QUOTE |
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162 // C QUAD 8(4):20-24, June 1978. Note that TFLOOR=FL5. |
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163 // C (2) L. M. Breed, "Definitions For Fuzzy Floor And Ceiling", APL |
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164 // C QUOTE QUAD 8(3):16-23, March 1978. This paper cites FL1 through |
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165 // C FL5, the history of five years of evolutionary development of |
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166 // C FL5 - the seven lines of code below - by open collaboration |
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167 // C and corroboration of the mathematical-computing community. |
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168 // C |
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169 // C Penn State University Center for Academic Computing |
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170 // C H. D. Knoble - August, 1978. |
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171 |
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172 static inline double |
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173 tfloor (double x, double ct) |
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174 { |
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175 // C---------FLOOR(X) is the largest integer algebraically less than |
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176 // C or equal to X; that is, the unfuzzy FLOOR function. |
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177 |
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178 // DINT (X) = X - DMOD (X, 1.0); |
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179 // FLOOR (X) = DINT (X) - DMOD (2.0 + DSIGN (1.0, X), 3.0); |
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180 |
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181 // C---------Hagerty's FL5 function follows... |
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182 |
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183 double q = 1.0; |
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184 |
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185 if (x < 0.0) |
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186 q = 1.0 - ct; |
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187 |
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188 double rmax = q / (2.0 - ct); |
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189 |
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190 double t1 = 1.0 + floor (x); |
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191 t1 = (ct / q) * (t1 < 0.0 ? -t1 : t1); |
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192 t1 = rmax < t1 ? rmax : t1; |
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193 t1 = ct > t1 ? ct : t1; |
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194 t1 = floor (x + t1); |
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195 |
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196 if (x <= 0.0 || (t1 - x) < rmax) |
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197 return t1; |
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198 else |
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199 return t1 - 1.0; |
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200 } |
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201 |
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202 static inline double |
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203 tceil (double x, double ct) |
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204 { |
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205 return -tfloor (-x, ct); |
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206 } |
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207 |
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208 static inline double |
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209 round (double x, double ct) |
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210 { |
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211 return tfloor (x+0.5, ct); |
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212 } |
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213 |
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214 int |
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215 Range::nelem_internal (void) const |
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216 { |
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217 double ct = 3.0 * DBL_EPSILON; |
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218 |
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219 double tmp = tfloor ((rng_limit - rng_base + rng_inc) / rng_inc, ct); |
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220 |
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221 int n_intervals = (int) (tmp > 0.0 ? tmp : 0); |
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222 |
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223 return (n_intervals >= INT_MAX - 1) ? -1 : n_intervals; |
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224 } |
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225 |
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226 /* |
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227 ;;; Local Variables: *** |
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228 ;;; mode: C++ *** |
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229 ;;; End: *** |
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230 */ |
