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1 /* |
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3 Copyright (C) 1996, 1997 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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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20 02110-1301, USA. |
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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 #include <cmath> |
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30 |
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31 #if defined (HAVE_SUNMATH_H) |
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32 #include <sunmath.h> |
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33 #endif |
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34 |
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35 #include "lo-error.h" |
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36 #include "lo-ieee.h" |
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37 #include "lo-mappers.h" |
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38 #include "lo-specfun.h" |
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39 #include "lo-utils.h" |
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40 #include "oct-cmplx.h" |
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41 |
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42 #include "f77-fcn.h" |
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43 |
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44 // double -> double mappers. |
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45 |
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46 double |
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47 arg (double x) |
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48 { |
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49 return atan2 (0.0, x); |
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50 } |
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51 |
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52 double |
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53 conj (double x) |
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54 { |
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55 return x; |
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56 } |
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57 |
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58 double |
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59 fix (double x) |
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60 { |
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61 return x > 0 ? floor (x) : ceil (x); |
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62 } |
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63 |
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64 double |
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65 imag (double) |
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66 { |
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67 return 0.0; |
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68 } |
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69 |
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70 double |
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71 real (double x) |
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72 { |
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73 return x; |
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74 } |
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75 |
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76 double |
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77 xround (double x) |
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78 { |
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79 #if defined (HAVE_ROUND) |
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80 return round (x); |
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81 #else |
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82 return x > 0 ? floor (x + 0.5) : ceil (x - 0.5); |
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83 #endif |
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84 } |
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85 |
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86 double |
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87 signum (double x) |
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88 { |
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89 double tmp = 0.0; |
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90 |
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91 if (x < 0.0) |
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92 tmp = -1.0; |
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93 else if (x > 0.0) |
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94 tmp = 1.0; |
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95 |
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96 return xisnan (x) ? octave_NaN : tmp; |
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97 } |
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98 |
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99 double |
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100 xlog2 (double x) |
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101 { |
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102 #if defined (HAVE_LOG2) |
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103 return log2 (x); |
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104 #else |
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105 #if defined (M_LN2) |
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106 static double ln2 = M_LN2; |
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107 #else |
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108 static double ln2 = log2 (2); |
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109 #endif |
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110 |
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111 return log (x) / ln2; |
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112 #endif |
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113 } |
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114 |
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115 double |
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116 xexp2 (double x) |
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117 { |
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118 #if defined (HAVE_EXP2) |
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119 return exp2 (x); |
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120 #else |
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121 #if defined (M_LN2) |
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122 static double ln2 = M_LN2; |
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123 #else |
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124 static double ln2 = log2 (2); |
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125 #endif |
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126 |
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127 return exp (x * ln2); |
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128 #endif |
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129 } |
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130 |
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131 // double -> bool mappers. |
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132 |
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133 bool |
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134 xisnan (double x) |
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135 { |
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136 return lo_ieee_isnan (x); |
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137 } |
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138 |
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139 bool |
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140 xfinite (double x) |
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141 { |
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142 return lo_ieee_finite (x); |
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143 } |
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144 |
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145 bool |
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146 xisinf (double x) |
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147 { |
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148 return lo_ieee_isinf (x); |
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149 } |
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150 |
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151 bool |
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152 octave_is_NA (double x) |
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153 { |
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154 return lo_ieee_is_NA (x); |
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155 } |
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156 |
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157 bool |
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158 octave_is_NaN_or_NA (double x) |
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159 { |
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160 return lo_ieee_isnan (x); |
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161 } |
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162 |
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163 // (double, double) -> double mappers. |
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164 |
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165 // FIXME -- need to handle NA too? |
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166 |
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167 double |
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168 xmin (double x, double y) |
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169 { |
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170 if (x < y) |
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171 return x; |
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172 |
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173 if (y <= x) |
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174 return y; |
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175 |
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176 if (xisnan (x) && ! xisnan (y)) |
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177 return y; |
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178 else if (xisnan (y) && ! xisnan (x)) |
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179 return x; |
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180 else if (octave_is_NA (x) || octave_is_NA (y)) |
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181 return octave_NA; |
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182 else |
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183 return octave_NaN; |
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184 } |
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185 |
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186 double |
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187 xmax (double x, double y) |
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188 { |
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189 if (x > y) |
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190 return x; |
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191 |
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192 if (y >= x) |
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193 return y; |
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194 |
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195 if (xisnan (x) && ! xisnan (y)) |
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196 return y; |
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197 else if (xisnan (y) && ! xisnan (x)) |
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198 return x; |
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199 else if (octave_is_NA (x) || octave_is_NA (y)) |
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200 return octave_NA; |
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201 else |
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202 return octave_NaN; |
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203 } |
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204 |
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205 // complex -> complex mappers. |
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206 |
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207 Complex |
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208 acos (const Complex& x) |
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209 { |
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210 static Complex i (0, 1); |
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211 |
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212 return (real (x) * imag (x) < 0.0) ? i * acosh (x) : -i * acosh (x); |
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213 } |
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214 |
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215 Complex |
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216 acosh (const Complex& x) |
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217 { |
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218 return log (x + sqrt (x*x - 1.0)); |
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219 } |
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220 |
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221 Complex |
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222 asin (const Complex& x) |
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223 { |
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224 static Complex i (0, 1); |
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225 |
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226 return -i * log (i*x + sqrt (1.0 - x*x)); |
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227 } |
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228 |
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229 Complex |
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230 asinh (const Complex& x) |
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231 { |
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232 return log (x + sqrt (x*x + 1.0)); |
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233 } |
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234 |
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235 Complex |
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236 atan (const Complex& x) |
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237 { |
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238 static Complex i (0, 1); |
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239 |
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240 return i * log ((i + x) / (i - x)) / 2.0; |
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241 } |
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242 |
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243 Complex |
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244 atanh (const Complex& x) |
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245 { |
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246 return log ((1.0 + x) / (1.0 - x)) / 2.0; |
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247 } |
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248 |
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249 Complex |
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250 ceil (const Complex& x) |
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251 { |
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252 return Complex (ceil (real (x)), ceil (imag (x))); |
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253 } |
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254 |
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255 Complex |
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256 fix (const Complex& x) |
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257 { |
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258 return Complex (fix (real (x)), fix (imag (x))); |
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259 } |
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260 |
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261 Complex |
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262 floor (const Complex& x) |
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263 { |
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264 return Complex (floor (real (x)), floor (imag (x))); |
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265 } |
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266 |
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267 Complex |
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268 xround (const Complex& x) |
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269 { |
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270 return Complex (xround (real (x)), xround (imag (x))); |
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271 } |
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272 |
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273 Complex |
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274 signum (const Complex& x) |
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275 { |
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276 return x / abs (x); |
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277 } |
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278 |
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279 // complex -> bool mappers. |
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280 |
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281 bool |
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282 xisnan (const Complex& x) |
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283 { |
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284 return (xisnan (real (x)) || xisnan (imag (x))); |
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285 } |
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286 |
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287 bool |
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288 xfinite (const Complex& x) |
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289 { |
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290 double rx = real (x); |
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291 double ix = imag (x); |
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292 |
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293 return (xfinite (rx) && ! xisnan (rx) |
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294 && xfinite (ix) && ! xisnan (ix)); |
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295 } |
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296 |
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297 bool |
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298 xisinf (const Complex& x) |
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299 { |
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300 return (xisinf (real (x)) || xisinf (imag (x))); |
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301 } |
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302 |
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303 bool |
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304 octave_is_NA (const Complex& x) |
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305 { |
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306 return (octave_is_NA (real (x)) || octave_is_NA (imag (x))); |
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307 } |
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308 |
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309 bool |
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310 octave_is_NaN_or_NA (const Complex& x) |
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311 { |
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312 return (xisnan (real (x)) || xisnan (imag (x))); |
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313 } |
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314 |
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315 // (complex, complex) -> complex mappers. |
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316 |
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317 // FIXME -- need to handle NA too? |
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318 |
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319 Complex |
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320 xmin (const Complex& x, const Complex& y) |
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321 { |
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322 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y); |
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323 } |
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324 |
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325 Complex |
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326 xmax (const Complex& x, const Complex& y) |
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327 { |
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328 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y); |
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329 } |
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330 |
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331 /* |
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332 ;;; Local Variables: *** |
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333 ;;; mode: C++ *** |
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334 ;;; End: *** |
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335 */ |
