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1 /* |
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2 |
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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, 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 #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 #ifndef M_LOG10E |
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44 #define M_LOG10E 0.43429448190325182765 |
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45 #endif |
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46 |
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47 // double -> double mappers. |
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48 |
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49 double |
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50 arg (double x) |
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51 { |
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52 return atan2 (0.0, x); |
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53 } |
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54 |
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55 double |
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56 conj (double x) |
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57 { |
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58 return x; |
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59 } |
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60 |
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61 double |
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62 fix (double x) |
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63 { |
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64 return x > 0 ? floor (x) : ceil (x); |
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65 } |
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66 |
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67 double |
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68 imag (double x) |
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69 { |
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70 return 0.0; |
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71 } |
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72 |
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73 double |
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74 real (double x) |
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75 { |
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76 return x; |
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77 } |
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78 |
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79 double |
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80 round (double x) |
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81 { |
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82 return D_NINT (x); |
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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 if (x < 0.0) |
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90 tmp = -1.0; |
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91 else if (x > 0.0) |
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92 tmp = 1.0; |
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93 |
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94 return xisnan (x) ? octave_NaN : tmp; |
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95 } |
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96 |
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97 // double -> bool mappers. |
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98 |
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99 bool |
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100 xisnan (double x) |
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101 { |
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102 return lo_ieee_isnan (x); |
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103 } |
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104 |
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105 bool |
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106 xfinite (double x) |
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107 { |
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108 return lo_ieee_finite (x); |
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109 } |
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110 |
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111 bool |
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112 xisinf (double x) |
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113 { |
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114 return lo_ieee_isinf (x); |
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115 } |
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116 |
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117 bool |
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118 octave_is_NA (double x) |
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119 { |
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120 return lo_ieee_is_NA (x); |
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121 } |
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122 |
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123 bool |
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124 octave_is_NaN_or_NA (double x) |
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125 { |
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126 return lo_ieee_is_NaN_or_NA (x); |
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127 } |
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128 |
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129 // (double, double) -> double mappers. |
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130 |
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131 // XXX FIXME XXX -- need to handle NA too? |
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132 |
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133 double |
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134 xmin (double x, double y) |
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135 { |
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136 return x < y ? x : (xisnan (x) ? x : y); |
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137 } |
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138 |
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139 double |
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140 xmax (double x, double y) |
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141 { |
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142 return x > y ? x : (xisnan (x) ? x : y); |
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143 } |
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144 |
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145 // complex -> complex mappers. |
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146 |
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147 Complex |
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148 acos (const Complex& x) |
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149 { |
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150 static Complex i (0, 1); |
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151 |
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152 return (real (x) * imag (x) < 0.0) ? i * acosh (x) : -i * acosh (x); |
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153 } |
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154 |
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155 Complex |
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156 acosh (const Complex& x) |
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157 { |
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158 return log (x + sqrt (x*x - 1.0)); |
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159 } |
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160 |
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161 Complex |
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162 asin (const Complex& x) |
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163 { |
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164 static Complex i (0, 1); |
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165 |
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166 return -i * log (i*x + sqrt (1.0 - x*x)); |
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167 } |
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168 |
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169 Complex |
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170 asinh (const Complex& x) |
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171 { |
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172 return log (x + sqrt (x*x + 1.0)); |
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173 } |
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174 |
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175 Complex |
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176 atan (const Complex& x) |
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177 { |
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178 static Complex i (0, 1); |
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179 |
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180 return i * log ((i + x) / (i - x)) / 2.0; |
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181 } |
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182 |
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183 Complex |
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184 atanh (const Complex& x) |
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185 { |
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186 return log ((1.0 + x) / (1.0 - x)) / 2.0; |
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187 } |
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188 |
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189 #if !defined (CXX_ISO_COMPLIANT_LIBRARY) |
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190 |
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191 Complex |
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192 log10 (const Complex& x) |
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193 { |
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194 return M_LOG10E * log (x); |
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195 } |
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196 |
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197 Complex |
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198 tan (const Complex& x) |
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199 { |
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200 return sin (x) / cos (x); |
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201 } |
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202 |
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203 Complex |
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204 tanh (const Complex& x) |
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205 { |
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206 return sinh (x) / cosh (x); |
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207 } |
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208 |
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209 #endif |
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210 |
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211 Complex |
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212 ceil (const Complex& x) |
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213 { |
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214 return Complex (ceil (real (x)), ceil (imag (x))); |
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215 } |
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216 |
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217 Complex |
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218 fix (const Complex& x) |
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219 { |
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220 return Complex (fix (real (x)), fix (imag (x))); |
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221 } |
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222 |
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223 Complex |
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224 floor (const Complex& x) |
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225 { |
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226 return Complex (floor (real (x)), floor (imag (x))); |
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227 } |
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228 |
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229 Complex |
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230 round (const Complex& x) |
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231 { |
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232 return Complex (D_NINT (real (x)), D_NINT (imag (x))); |
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233 } |
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234 |
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235 Complex |
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236 signum (const Complex& x) |
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237 { |
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238 return x / abs (x); |
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239 } |
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240 |
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241 // complex -> bool mappers. |
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242 |
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243 bool |
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244 xisnan (const Complex& x) |
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245 { |
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246 return (xisnan (real (x)) || xisnan (imag (x))); |
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247 } |
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248 |
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249 bool |
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250 xfinite (const Complex& x) |
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251 { |
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252 double rx = real (x); |
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253 double ix = imag (x); |
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254 |
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255 return (xfinite (rx) && ! octave_is_NaN_or_NA (rx) |
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256 && xfinite (ix) && ! octave_is_NaN_or_NA (ix)); |
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257 } |
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258 |
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259 bool |
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260 xisinf (const Complex& x) |
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261 { |
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262 return (xisinf (real (x)) || xisinf (imag (x))); |
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263 } |
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264 |
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265 bool |
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266 octave_is_NA (const Complex& x) |
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267 { |
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268 return (octave_is_NA (real (x)) || octave_is_NA (imag (x))); |
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269 } |
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270 |
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271 bool |
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272 octave_is_NaN_or_NA (const Complex& x) |
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273 { |
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274 return (octave_is_NaN_or_NA (real (x)) || octave_is_NaN_or_NA (imag (x))); |
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275 } |
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276 |
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277 // (complex, complex) -> complex mappers. |
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278 |
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279 // XXX FIXME XXX -- need to handle NA too? |
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280 |
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281 Complex |
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282 xmin (const Complex& x, const Complex& y) |
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283 { |
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284 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y); |
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285 } |
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286 |
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287 Complex |
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288 xmax (const Complex& x, const Complex& y) |
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289 { |
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290 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y); |
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291 } |
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292 |
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293 /* |
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294 ;;; Local Variables: *** |
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295 ;;; mode: C++ *** |
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296 ;;; End: *** |
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297 */ |
