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1 /* |
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3 Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, |
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4 2005, 2006, 2007 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 3 of the License, or (at your |
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11 option) any later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, see |
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20 <http://www.gnu.org/licenses/>. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include <cfloat> |
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29 |
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30 #include "lo-error.h" |
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31 #include "lo-ieee.h" |
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32 #include "lo-mappers.h" |
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33 #include "lo-math.h" |
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34 #include "lo-specfun.h" |
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35 #include "lo-utils.h" |
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36 #include "oct-cmplx.h" |
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37 |
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38 #include "f77-fcn.h" |
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39 |
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40 // double -> double mappers. |
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41 |
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42 double |
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43 arg (double x) |
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44 { |
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45 return atan2 (0.0, x); |
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46 } |
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47 |
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48 double |
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49 conj (double x) |
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50 { |
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51 return x; |
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52 } |
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53 |
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54 double |
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55 fix (double x) |
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56 { |
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57 return x > 0 ? floor (x) : ceil (x); |
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58 } |
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59 |
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60 double |
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61 imag (double) |
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62 { |
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63 return 0.0; |
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64 } |
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65 |
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66 double |
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67 real (double x) |
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68 { |
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69 return x; |
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70 } |
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71 |
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72 double |
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73 xround (double x) |
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74 { |
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75 #if defined (HAVE_ROUND) |
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76 return round (x); |
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77 #else |
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78 return x > 0 ? floor (x + 0.5) : ceil (x - 0.5); |
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79 #endif |
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80 } |
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81 |
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82 double |
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83 signum (double x) |
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84 { |
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85 double tmp = 0.0; |
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86 |
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87 if (x < 0.0) |
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88 tmp = -1.0; |
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89 else if (x > 0.0) |
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90 tmp = 1.0; |
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91 |
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92 return xisnan (x) ? octave_NaN : tmp; |
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93 } |
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94 |
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95 double |
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96 xlog2 (double x) |
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97 { |
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98 #if defined (HAVE_LOG2) |
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99 return log2 (x); |
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100 #else |
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101 #if defined (M_LN2) |
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102 static double ln2 = M_LN2; |
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103 #else |
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104 static double ln2 = log2 (2); |
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105 #endif |
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106 |
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107 return log (x) / ln2; |
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108 #endif |
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109 } |
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110 |
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111 double |
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112 xexp2 (double x) |
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113 { |
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114 #if defined (HAVE_EXP2) |
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115 return exp2 (x); |
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116 #else |
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117 #if defined (M_LN2) |
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118 static double ln2 = M_LN2; |
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119 #else |
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120 static double ln2 = log2 (2); |
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121 #endif |
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122 |
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123 return exp (x * ln2); |
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124 #endif |
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125 } |
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126 |
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127 // double -> bool mappers. |
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128 |
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129 bool |
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130 xisnan (double x) |
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131 { |
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132 return lo_ieee_isnan (x); |
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133 } |
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134 |
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135 bool |
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136 xfinite (double x) |
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137 { |
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138 return lo_ieee_finite (x); |
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139 } |
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140 |
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141 bool |
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142 xisinf (double x) |
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143 { |
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144 return lo_ieee_isinf (x); |
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145 } |
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146 |
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147 bool |
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148 octave_is_NA (double x) |
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149 { |
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150 return lo_ieee_is_NA (x); |
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151 } |
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152 |
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153 bool |
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154 octave_is_NaN_or_NA (double x) |
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155 { |
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156 return lo_ieee_isnan (x); |
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157 } |
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158 |
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159 // (double, double) -> double mappers. |
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160 |
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161 // FIXME -- need to handle NA too? |
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162 |
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163 double |
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164 xmin (double x, double y) |
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165 { |
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166 if (x < y) |
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167 return x; |
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168 |
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169 if (y <= x) |
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170 return y; |
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171 |
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172 if (xisnan (x) && ! xisnan (y)) |
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173 return y; |
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174 else if (xisnan (y) && ! xisnan (x)) |
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175 return x; |
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176 else if (octave_is_NA (x) || octave_is_NA (y)) |
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177 return octave_NA; |
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178 else |
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179 return octave_NaN; |
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180 } |
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181 |
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182 double |
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183 xmax (double x, double y) |
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184 { |
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185 if (x > y) |
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186 return x; |
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187 |
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188 if (y >= x) |
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189 return y; |
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190 |
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191 if (xisnan (x) && ! xisnan (y)) |
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192 return y; |
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193 else if (xisnan (y) && ! xisnan (x)) |
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194 return x; |
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195 else if (octave_is_NA (x) || octave_is_NA (y)) |
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196 return octave_NA; |
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197 else |
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198 return octave_NaN; |
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199 } |
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200 |
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201 // complex -> complex mappers. |
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202 |
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203 Complex |
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204 acos (const Complex& x) |
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205 { |
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206 static Complex i (0, 1); |
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207 |
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208 return -i * (log (x + i * (sqrt (1.0 - x*x)))); |
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209 } |
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210 |
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211 Complex |
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212 acosh (const Complex& x) |
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213 { |
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214 return log (x + sqrt (x*x - 1.0)); |
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215 } |
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216 |
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217 Complex |
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218 asin (const Complex& x) |
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219 { |
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220 static Complex i (0, 1); |
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221 |
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222 return -i * log (i*x + sqrt (1.0 - x*x)); |
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223 } |
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224 |
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225 Complex |
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226 asinh (const Complex& x) |
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227 { |
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228 return log (x + sqrt (x*x + 1.0)); |
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229 } |
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230 |
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231 Complex |
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232 atan (const Complex& x) |
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233 { |
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234 static Complex i (0, 1); |
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235 |
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236 return i * log ((i + x) / (i - x)) / 2.0; |
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237 } |
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238 |
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239 Complex |
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240 atanh (const Complex& x) |
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241 { |
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242 return log ((1.0 + x) / (1.0 - x)) / 2.0; |
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243 } |
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244 |
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245 Complex |
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246 ceil (const Complex& x) |
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247 { |
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248 return Complex (ceil (real (x)), ceil (imag (x))); |
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249 } |
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250 |
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251 Complex |
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252 fix (const Complex& x) |
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253 { |
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254 return Complex (fix (real (x)), fix (imag (x))); |
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255 } |
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256 |
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257 Complex |
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258 floor (const Complex& x) |
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259 { |
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260 return Complex (floor (real (x)), floor (imag (x))); |
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261 } |
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262 |
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263 Complex |
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264 xround (const Complex& x) |
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265 { |
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266 return Complex (xround (real (x)), xround (imag (x))); |
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267 } |
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268 |
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269 Complex |
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270 signum (const Complex& x) |
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271 { |
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272 double tmp = abs (x); |
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273 |
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274 return tmp == 0 ? 0.0 : x / tmp; |
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275 } |
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276 |
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277 // complex -> bool mappers. |
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278 |
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279 bool |
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280 xisnan (const Complex& x) |
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281 { |
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282 return (xisnan (real (x)) || xisnan (imag (x))); |
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283 } |
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284 |
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285 bool |
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286 xfinite (const Complex& x) |
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287 { |
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288 double rx = real (x); |
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289 double ix = imag (x); |
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290 |
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291 return (xfinite (rx) && ! xisnan (rx) |
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292 && xfinite (ix) && ! xisnan (ix)); |
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293 } |
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294 |
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295 bool |
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296 xisinf (const Complex& x) |
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297 { |
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298 return (xisinf (real (x)) || xisinf (imag (x))); |
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299 } |
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300 |
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301 bool |
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302 octave_is_NA (const Complex& x) |
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303 { |
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304 return (octave_is_NA (real (x)) || octave_is_NA (imag (x))); |
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305 } |
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306 |
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307 bool |
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308 octave_is_NaN_or_NA (const Complex& x) |
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309 { |
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310 return (xisnan (real (x)) || xisnan (imag (x))); |
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311 } |
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312 |
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313 // (complex, complex) -> complex mappers. |
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314 |
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315 // FIXME -- need to handle NA too? |
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316 |
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317 Complex |
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318 xmin (const Complex& x, const Complex& y) |
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319 { |
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320 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y); |
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321 } |
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322 |
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323 Complex |
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324 xmax (const Complex& x, const Complex& y) |
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325 { |
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326 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y); |
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327 } |
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328 |
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329 /* |
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330 ;;; Local Variables: *** |
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331 ;;; mode: C++ *** |
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332 ;;; End: *** |
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333 */ |
