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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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24 #ifdef __GNUG__ |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #include <float.h> |
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29 |
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30 #include "mappers.h" |
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31 #include "utils.h" |
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32 |
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33 #if defined (_AIX) && defined (__GNUG__) |
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34 #undef finite |
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35 #define finite(x) ((x) < DBL_MAX && (x) > -DBL_MAX) |
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36 #endif |
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37 |
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38 /* |
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39 * Double -> double mappers. |
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40 */ |
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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 0.0; |
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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 int tmp; |
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58 tmp = (int) x; |
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59 return (double) tmp; |
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60 } |
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61 |
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62 double |
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63 imag (double x) |
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64 { |
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65 return 0.0; |
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66 } |
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67 |
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68 double |
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69 real (double x) |
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70 { |
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71 return x; |
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72 } |
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73 |
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74 double |
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75 round (double x) |
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76 { |
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77 return D_NINT (x); |
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78 } |
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79 |
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80 double |
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81 signum (double x) |
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82 { |
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83 double tmp = 0.0; |
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84 if (x < 0.0) |
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85 tmp = -1.0; |
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86 else if (x > 0.0) |
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87 tmp = 1.0; |
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88 return tmp; |
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89 } |
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90 |
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91 double |
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92 xisnan (double x) |
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93 { |
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94 #if defined (HAVE_ISNAN) |
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95 return (double) isnan (x); |
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96 #else |
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97 return 0; |
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98 #endif |
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99 } |
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100 |
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101 double |
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102 xfinite (double x) |
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103 { |
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104 #if defined (HAVE_FINITE) |
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105 return (double) finite (x); |
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106 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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107 return (double) (! isinf (x) && ! isnan (x)); |
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108 #else |
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109 return (double) (x > -DBL_MAX && x < DBL_MAX); |
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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 xisinf (double x) |
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115 { |
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116 #if defined (HAVE_ISINF) |
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117 return (double) isinf (x); |
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118 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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119 return (double) (! (finite (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 /* |
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126 * Complex -> double mappers. |
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127 */ |
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128 |
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129 double |
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130 xisnan (const Complex& x) |
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131 { |
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132 #if defined (HAVE_ISNAN) |
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133 double rx = real (x); |
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134 double ix = imag (x); |
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135 return (double) (isnan (rx) || isnan (ix)); |
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136 #else |
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137 return 0; |
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138 #endif |
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139 } |
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140 |
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141 double |
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142 xfinite (const Complex& x) |
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143 { |
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144 double rx = real (x); |
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145 double ix = imag (x); |
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146 return (double) (! ((int) xisinf (rx) || (int) xisinf (ix))); |
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147 } |
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148 |
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149 double |
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150 xisinf (const Complex& x) |
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151 { |
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152 return (double) (! (int) xfinite (x)); |
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153 } |
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154 |
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155 /* |
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156 * Complex -> complex mappers. |
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157 */ |
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158 |
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159 Complex |
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160 acos (const Complex& x) |
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161 { |
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162 static Complex i (0, 1); |
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163 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
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164 return retval; |
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165 } |
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166 |
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167 Complex |
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168 acosh (const Complex& x) |
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169 { |
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170 Complex retval = log (x + sqrt (x*x - 1.0)); |
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171 return retval; |
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172 } |
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173 |
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174 Complex |
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175 asin (const Complex& x) |
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176 { |
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177 static Complex i (0, 1); |
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178 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
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179 return retval; |
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180 } |
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181 |
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182 Complex |
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183 asinh (const Complex& x) |
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184 { |
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185 Complex retval = log (x + sqrt (x*x + 1.0)); |
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186 return retval; |
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187 } |
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188 |
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189 Complex |
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190 atan (const Complex& x) |
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191 { |
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192 static Complex i (0, 1); |
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193 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
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194 return retval; |
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195 } |
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196 |
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197 Complex |
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198 atanh (const Complex& x) |
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199 { |
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200 static Complex i (0, 1); |
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201 Complex retval = log ((i + x) / (i - x)) / 2.0; |
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202 return retval; |
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203 } |
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204 |
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205 Complex |
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206 ceil (const Complex& x) |
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207 { |
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208 int re = (int) ceil (real (x)); |
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209 int im = (int) ceil (imag (x)); |
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210 return Complex (re, im); |
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211 } |
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212 |
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213 Complex |
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214 fix (const Complex& x) |
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215 { |
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216 int re = (int) real (x); |
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217 int im = (int) imag (x); |
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218 return Complex (re, im); |
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219 } |
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220 |
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221 Complex |
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222 floor (const Complex& x) |
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223 { |
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224 int re = (int) floor (real (x)); |
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225 int im = (int) floor (imag (x)); |
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226 return Complex (re, im); |
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227 } |
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228 |
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229 #ifndef M_LOG10E |
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230 #define M_LOG10E 0.43429448190325182765 |
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231 #endif |
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232 |
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233 Complex |
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234 log10 (const Complex& x) |
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235 { |
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236 return M_LOG10E * log (x); |
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237 } |
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238 |
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239 Complex |
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240 round (const Complex& x) |
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241 { |
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242 double re = D_NINT (real (x)); |
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243 double im = D_NINT (imag (x)); |
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244 return Complex (re, im); |
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245 } |
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246 |
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247 Complex |
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248 signum (const Complex& x) |
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249 { |
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250 return x / abs (x); |
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251 } |
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252 |
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253 Complex |
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254 tan (const Complex& x) |
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255 { |
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256 Complex retval = sin (x) / cos (x); |
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257 return retval; |
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258 } |
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259 |
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260 Complex |
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261 tanh (const Complex& x) |
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262 { |
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263 Complex retval = sinh (x) / cosh (x); |
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264 return retval; |
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265 } |
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266 |
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267 /* |
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268 ;;; Local Variables: *** |
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269 ;;; mode: C++ *** |
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270 ;;; page-delimiter: "^/\\*" *** |
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271 ;;; End: *** |
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272 */ |
