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