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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 3 of the License, or (at your |
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10 option) any 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, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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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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28 #include <cmath> |
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29 |
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30 #if defined (HAVE_SUNMATH_H) |
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31 #include <sunmath.h> |
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32 #endif |
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33 |
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34 #include "lo-error.h" |
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35 #include "lo-ieee.h" |
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36 #include "lo-mappers.h" |
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37 #include "lo-specfun.h" |
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38 #include "lo-utils.h" |
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39 #include "oct-cmplx.h" |
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40 |
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41 #include "f77-fcn.h" |
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42 |
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43 // double -> double mappers. |
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44 |
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45 double |
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46 arg (double x) |
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47 { |
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48 return atan2 (0.0, x); |
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49 } |
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50 |
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51 double |
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52 conj (double x) |
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53 { |
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54 return x; |
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55 } |
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56 |
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57 double |
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58 fix (double x) |
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59 { |
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60 return x > 0 ? floor (x) : ceil (x); |
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61 } |
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62 |
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63 double |
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64 imag (double) |
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65 { |
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66 return 0.0; |
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67 } |
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68 |
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69 double |
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70 real (double x) |
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71 { |
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72 return x; |
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73 } |
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74 |
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75 double |
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76 xround (double x) |
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77 { |
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78 #if defined (HAVE_ROUND) |
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79 return round (x); |
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80 #else |
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81 return x > 0 ? floor (x + 0.5) : ceil (x - 0.5); |
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82 #endif |
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83 } |
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84 |
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85 double |
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86 signum (double x) |
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87 { |
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88 double tmp = 0.0; |
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89 |
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90 if (x < 0.0) |
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91 tmp = -1.0; |
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92 else if (x > 0.0) |
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93 tmp = 1.0; |
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94 |
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95 return xisnan (x) ? octave_NaN : tmp; |
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96 } |
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97 |
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98 double |
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99 xlog2 (double x) |
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100 { |
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101 #if defined (HAVE_LOG2) |
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102 return log2 (x); |
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103 #else |
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104 #if defined (M_LN2) |
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105 static double ln2 = M_LN2; |
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106 #else |
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107 static double ln2 = log2 (2); |
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108 #endif |
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109 |
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110 return log (x) / ln2; |
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111 #endif |
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112 } |
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113 |
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114 double |
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115 xexp2 (double x) |
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116 { |
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117 #if defined (HAVE_EXP2) |
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118 return exp2 (x); |
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119 #else |
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120 #if defined (M_LN2) |
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121 static double ln2 = M_LN2; |
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122 #else |
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123 static double ln2 = log2 (2); |
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124 #endif |
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125 |
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126 return exp (x * ln2); |
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127 #endif |
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128 } |
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129 |
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130 // double -> bool mappers. |
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131 |
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132 bool |
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133 xisnan (double x) |
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134 { |
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135 return lo_ieee_isnan (x); |
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136 } |
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137 |
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138 bool |
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139 xfinite (double x) |
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140 { |
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141 return lo_ieee_finite (x); |
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142 } |
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143 |
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144 bool |
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145 xisinf (double x) |
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146 { |
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147 return lo_ieee_isinf (x); |
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148 } |
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149 |
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150 bool |
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151 octave_is_NA (double x) |
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152 { |
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153 return lo_ieee_is_NA (x); |
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154 } |
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155 |
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156 bool |
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157 octave_is_NaN_or_NA (double x) |
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158 { |
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159 return lo_ieee_isnan (x); |
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160 } |
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161 |
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162 // (double, double) -> double mappers. |
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163 |
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164 // FIXME -- need to handle NA too? |
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165 |
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166 double |
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167 xmin (double x, double y) |
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168 { |
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169 if (x < y) |
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170 return x; |
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171 |
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172 if (y <= x) |
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173 return y; |
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174 |
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175 if (xisnan (x) && ! xisnan (y)) |
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176 return y; |
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177 else if (xisnan (y) && ! xisnan (x)) |
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178 return x; |
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179 else if (octave_is_NA (x) || octave_is_NA (y)) |
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180 return octave_NA; |
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181 else |
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182 return octave_NaN; |
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183 } |
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184 |
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185 double |
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186 xmax (double x, double y) |
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187 { |
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188 if (x > y) |
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189 return x; |
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190 |
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191 if (y >= x) |
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192 return y; |
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193 |
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194 if (xisnan (x) && ! xisnan (y)) |
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195 return y; |
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196 else if (xisnan (y) && ! xisnan (x)) |
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197 return x; |
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198 else if (octave_is_NA (x) || octave_is_NA (y)) |
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199 return octave_NA; |
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200 else |
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201 return octave_NaN; |
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202 } |
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203 |
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204 // complex -> complex mappers. |
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205 |
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206 Complex |
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207 acos (const Complex& x) |
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208 { |
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209 static Complex i (0, 1); |
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210 |
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211 return -i * (log (x + i * (sqrt (1.0 - x*x)))); |
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212 } |
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213 |
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214 Complex |
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215 acosh (const Complex& x) |
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216 { |
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217 return log (x + sqrt (x*x - 1.0)); |
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218 } |
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219 |
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220 Complex |
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221 asin (const Complex& x) |
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222 { |
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223 static Complex i (0, 1); |
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224 |
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225 return -i * log (i*x + sqrt (1.0 - x*x)); |
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226 } |
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227 |
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228 Complex |
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229 asinh (const Complex& x) |
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230 { |
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231 return log (x + sqrt (x*x + 1.0)); |
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232 } |
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233 |
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234 Complex |
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235 atan (const Complex& x) |
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236 { |
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237 static Complex i (0, 1); |
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238 |
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239 return i * log ((i + x) / (i - x)) / 2.0; |
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240 } |
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241 |
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242 Complex |
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243 atanh (const Complex& x) |
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244 { |
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245 return log ((1.0 + x) / (1.0 - x)) / 2.0; |
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246 } |
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247 |
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248 Complex |
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249 ceil (const Complex& x) |
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250 { |
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251 return Complex (ceil (real (x)), ceil (imag (x))); |
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252 } |
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253 |
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254 Complex |
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255 fix (const Complex& x) |
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256 { |
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257 return Complex (fix (real (x)), fix (imag (x))); |
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258 } |
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259 |
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260 Complex |
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261 floor (const Complex& x) |
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262 { |
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263 return Complex (floor (real (x)), floor (imag (x))); |
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264 } |
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265 |
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266 Complex |
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267 xround (const Complex& x) |
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268 { |
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269 return Complex (xround (real (x)), xround (imag (x))); |
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270 } |
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271 |
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272 Complex |
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273 signum (const Complex& x) |
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274 { |
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275 double tmp = abs (x); |
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276 |
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277 return tmp == 0 ? 0.0 : x / tmp; |
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278 } |
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279 |
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280 // complex -> bool mappers. |
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281 |
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282 bool |
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283 xisnan (const Complex& x) |
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284 { |
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285 return (xisnan (real (x)) || xisnan (imag (x))); |
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286 } |
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287 |
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288 bool |
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289 xfinite (const Complex& x) |
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290 { |
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291 double rx = real (x); |
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292 double ix = imag (x); |
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293 |
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294 return (xfinite (rx) && ! xisnan (rx) |
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295 && xfinite (ix) && ! xisnan (ix)); |
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296 } |
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297 |
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298 bool |
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299 xisinf (const Complex& x) |
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300 { |
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301 return (xisinf (real (x)) || xisinf (imag (x))); |
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302 } |
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303 |
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304 bool |
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305 octave_is_NA (const Complex& x) |
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306 { |
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307 return (octave_is_NA (real (x)) || octave_is_NA (imag (x))); |
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308 } |
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309 |
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310 bool |
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311 octave_is_NaN_or_NA (const Complex& x) |
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312 { |
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313 return (xisnan (real (x)) || xisnan (imag (x))); |
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314 } |
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315 |
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316 // (complex, complex) -> complex mappers. |
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317 |
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318 // FIXME -- need to handle NA too? |
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319 |
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320 Complex |
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321 xmin (const Complex& x, const Complex& y) |
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322 { |
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323 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y); |
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324 } |
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325 |
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326 Complex |
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327 xmax (const Complex& x, const Complex& y) |
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328 { |
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329 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y); |
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330 } |
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331 |
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332 /* |
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333 ;;; Local Variables: *** |
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334 ;;; mode: C++ *** |
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335 ;;; End: *** |
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336 */ |
