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1 // mappers.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1992, 1993 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 2, or (at your option) any |
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11 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, write to the Free |
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20 Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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240
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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 <float.h> |
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29 #include <Complex.h> |
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30 |
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31 #include "mappers.h" |
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32 #include "utils.h" |
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33 |
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34 #if defined (_AIX) && defined (__GNUG__) |
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35 #undef finite |
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36 #define finite(x) ((x) < DBL_MAX && (x) > -DBL_MAX) |
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37 #endif |
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38 |
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39 #ifndef M_LOG10E |
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40 #define M_LOG10E 0.43429448190325182765 |
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41 #endif |
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42 |
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43 #ifndef M_PI |
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44 #define M_PI 3.14159265358979323846 |
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45 #endif |
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46 |
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47 /* |
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48 * Double -> double mappers. |
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49 */ |
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50 |
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51 double |
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52 arg (double x) |
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53 { |
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54 if (x < 0.0) |
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55 return M_PI; |
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56 else |
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57 return 0.0; |
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58 } |
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59 |
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60 double |
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61 conj (double x) |
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62 { |
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63 return x; |
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64 } |
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65 |
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66 double |
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67 fix (double x) |
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68 { |
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69 int tmp; |
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70 tmp = (int) x; |
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71 return (double) tmp; |
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72 } |
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73 |
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74 double |
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75 imag (double x) |
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76 { |
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77 return 0.0; |
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78 } |
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79 |
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80 double |
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81 real (double x) |
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82 { |
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83 return x; |
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84 } |
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85 |
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86 double |
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87 round (double x) |
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88 { |
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89 return D_NINT (x); |
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90 } |
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91 |
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92 double |
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93 signum (double x) |
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94 { |
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95 double tmp = 0.0; |
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96 if (x < 0.0) |
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97 tmp = -1.0; |
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98 else if (x > 0.0) |
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99 tmp = 1.0; |
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100 return tmp; |
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101 } |
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102 |
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103 double |
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104 xisnan (double x) |
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105 { |
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106 #if defined (HAVE_ISNAN) |
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107 return (double) isnan (x); |
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108 #else |
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109 return 0; |
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110 #endif |
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111 } |
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112 |
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113 double |
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114 xfinite (double x) |
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115 { |
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116 #if defined (HAVE_FINITE) |
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117 return (double) finite (x); |
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118 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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119 return (double) (! isinf (x) && ! isnan (x)); |
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120 #else |
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121 return (double) (x > -DBL_MAX && x < DBL_MAX); |
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122 #endif |
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123 } |
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124 |
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125 double |
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126 xisinf (double x) |
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127 { |
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128 #if defined (HAVE_ISINF) |
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129 return (double) isinf (x); |
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130 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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131 return (double) (! (finite (x) || isnan (x))); |
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132 #else |
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133 return (double) (x == DBL_MAX || x == -DBL_MAX); |
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134 #endif |
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135 } |
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136 |
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137 /* |
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138 * Complex -> double mappers. |
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139 */ |
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140 |
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141 double |
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142 xisnan (const Complex& x) |
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143 { |
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144 #if defined (HAVE_ISNAN) |
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145 double rx = real (x); |
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146 double ix = imag (x); |
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147 return (double) (isnan (rx) || isnan (ix)); |
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148 #else |
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149 return 0; |
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150 #endif |
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151 } |
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152 |
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153 double |
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154 xfinite (const Complex& x) |
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155 { |
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156 double rx = real (x); |
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157 double ix = imag (x); |
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158 return (double) (! ((int) xisinf (rx) || (int) xisinf (ix))); |
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159 } |
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160 |
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161 double |
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162 xisinf (const Complex& x) |
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163 { |
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164 return (double) (! (int) xfinite (x)); |
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165 } |
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166 |
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167 /* |
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168 * Complex -> complex mappers. |
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169 */ |
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170 |
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171 Complex |
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172 acos (const Complex& x) |
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173 { |
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174 static Complex i (0, 1); |
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175 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
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176 return retval; |
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177 } |
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178 |
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179 Complex |
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180 acosh (const Complex& x) |
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181 { |
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182 Complex retval = log (x + sqrt (x*x - 1.0)); |
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183 return retval; |
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184 } |
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185 |
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186 Complex |
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187 asin (const Complex& x) |
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188 { |
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189 static Complex i (0, 1); |
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190 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
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191 return retval; |
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192 } |
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193 |
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194 Complex |
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195 asinh (const Complex& x) |
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196 { |
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197 Complex retval = log (x + sqrt (x*x + 1.0)); |
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198 return retval; |
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199 } |
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200 |
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201 Complex |
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202 atan (const Complex& x) |
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203 { |
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204 static Complex i (0, 1); |
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205 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
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206 return retval; |
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207 } |
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208 |
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209 Complex |
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210 atanh (const Complex& x) |
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211 { |
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212 static Complex i (0, 1); |
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213 Complex retval = log ((1 + x) / (1 - x)) / 2.0; |
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214 return retval; |
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215 } |
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216 |
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217 Complex |
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218 ceil (const Complex& x) |
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219 { |
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220 int re = (int) ceil (real (x)); |
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221 int im = (int) ceil (imag (x)); |
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222 return Complex (re, im); |
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223 } |
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224 |
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225 Complex |
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226 fix (const Complex& x) |
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227 { |
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228 int re = (int) real (x); |
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229 int im = (int) imag (x); |
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230 return Complex (re, im); |
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231 } |
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232 |
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233 Complex |
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234 floor (const Complex& x) |
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235 { |
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236 int re = (int) floor (real (x)); |
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237 int im = (int) floor (imag (x)); |
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238 return Complex (re, im); |
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239 } |
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240 |
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241 Complex |
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242 log10 (const Complex& x) |
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243 { |
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244 return M_LOG10E * log (x); |
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245 } |
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246 |
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247 Complex |
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248 round (const Complex& x) |
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249 { |
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250 double re = D_NINT (real (x)); |
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251 double im = D_NINT (imag (x)); |
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252 return Complex (re, im); |
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253 } |
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254 |
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255 Complex |
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256 signum (const Complex& x) |
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257 { |
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258 return x / abs (x); |
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259 } |
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260 |
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261 Complex |
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262 tan (const Complex& x) |
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263 { |
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264 Complex retval = sin (x) / cos (x); |
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265 return retval; |
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266 } |
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267 |
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268 Complex |
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269 tanh (const Complex& x) |
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270 { |
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271 Complex retval = sinh (x) / cosh (x); |
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272 return retval; |
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273 } |
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274 |
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275 /* |
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276 ;;; Local Variables: *** |
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277 ;;; mode: C++ *** |
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278 ;;; page-delimiter: "^/\\*" *** |
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279 ;;; End: *** |
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280 */ |
