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annotate liboctave/lo-mappers.cc @ 10486:4e64fbbd5c58

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allow non-integer values in ranges used for array indexing
author John W. Eaton <jwe@octave.org>
date Fri, 02 Apr 2010 14:28:34 -0400
parents 20ce1bea653d
children 4d1fc073fbb7
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1 /*
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2
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3 Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004,
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4 2005, 2006, 2007, 2008, 2009 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 3 of the License, or (at your
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11 option) any 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, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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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 <cfloat>
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29
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30 #include "lo-error.h"
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31 #include "lo-ieee.h"
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32 #include "lo-mappers.h"
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33 #include "lo-math.h"
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34 #include "lo-specfun.h"
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35 #include "lo-utils.h"
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36 #include "oct-cmplx.h"
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37
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38 #include "f77-fcn.h"
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39
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40 // double -> double mappers.
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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 atan2 (0.0, x);
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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 return gnulib::trunc (x);
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58 }
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59
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60 double
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61 imag (double)
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62 {
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63 return 0.0;
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64 }
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65
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66 double
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67 real (double x)
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68 {
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69 return x;
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70 }
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71
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72 double
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73 xround (double x)
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74 {
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75 return gnulib::round (x);
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76 }
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77
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78 double
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79 xtrunc (double x)
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80 {
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81 return gnulib::trunc (x);
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82 }
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83
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84 double
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85 xroundb (double x)
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86 {
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87 double t = xround (x);
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88
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89 if (fabs (x - t) == 0.5)
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90 t = 2 * xtrunc (0.5 * t);
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91
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92 return t;
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93 }
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94
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95 double
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96 signum (double x)
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97 {
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98 double tmp = 0.0;
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99
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100 if (x < 0.0)
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101 tmp = -1.0;
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102 else if (x > 0.0)
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103 tmp = 1.0;
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104
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105 return xisnan (x) ? octave_NaN : tmp;
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106 }
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107
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108 double
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109 mod (double x, double y)
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110 {
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111 if (y == 0)
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112 return x;
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113
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114 double r = fmod (x, y);
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115 return ((r < 0) != (y < 0)) ? y+r : r;
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116 }
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117
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118 double
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119 xlog2 (double x)
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120 {
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121 #if defined (HAVE_LOG2)
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122 return log2 (x);
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123 #else
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124 #if defined (M_LN2)
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125 static double ln2 = M_LN2;
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126 #else
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127 static double ln2 = log (2);
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128 #endif
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129
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130 return log (x) / ln2;
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131 #endif
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132 }
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133
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134 Complex
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135 xlog2 (const Complex& x)
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136 {
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137 #if defined (M_LN2)
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138 static double ln2 = M_LN2;
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139 #else
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140 static double ln2 = log (2);
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141 #endif
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142
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143 return std::log (x) / ln2;
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144 }
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145
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146 double
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147 xexp2 (double x)
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148 {
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149 #if defined (HAVE_EXP2)
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150 return exp2 (x);
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151 #else
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152 #if defined (M_LN2)
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153 static double ln2 = M_LN2;
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154 #else
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155 static double ln2 = log (2);
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156 #endif
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157
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158 return exp (x * ln2);
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159 #endif
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160 }
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161
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162 double
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163 xlog2 (double x, int& exp)
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164 {
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165 return frexp (x, &exp);
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166 }
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167
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168 Complex
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169 xlog2 (const Complex& x, int& exp)
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170 {
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171 double ax = std::abs (x);
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172 double lax = xlog2 (ax, exp);
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173 return (ax != lax) ? (x / ax) * lax : x;
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174 }
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175
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176 // double -> bool mappers.
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177
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178 #if ! defined(HAVE_CMATH_ISNAN)
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179 bool
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180 xisnan (double x)
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181 {
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182 return lo_ieee_isnan (x);
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183 }
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184 #endif
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185
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186 #if ! defined(HAVE_CMATH_ISFINITE)
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187 bool
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188 xfinite (double x)
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189 {
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190 return lo_ieee_finite (x);
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191 }
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192 #endif
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193
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194 #if ! defined(HAVE_CMATH_ISINF)
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195 bool
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196 xisinf (double x)
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197 {
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198 return lo_ieee_isinf (x);
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199 }
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200 #endif
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201
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202 bool
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203 octave_is_NA (double x)
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204 {
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205 return lo_ieee_is_NA (x);
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206 }
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207
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208 bool
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209 octave_is_NaN_or_NA (double x)
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210 {
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211 return lo_ieee_isnan (x);
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212 }
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213
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214 // (double, double) -> double mappers.
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215
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216 // complex -> complex mappers.
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217
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218 Complex
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219 acos (const Complex& x)
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220 {
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221 static Complex i (0, 1);
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222
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223 return -i * (log (x + i * (sqrt (1.0 - x*x))));
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224 }
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225
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226 Complex
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227 acosh (const Complex& x)
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228 {
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229 return log (x + sqrt (x*x - 1.0));
1967
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230 }
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231
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232 Complex
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233 asin (const Complex& x)
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234 {
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235 static Complex i (0, 1);
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236
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237 return -i * log (i*x + sqrt (1.0 - x*x));
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238 }
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239
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240 Complex
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241 asinh (const Complex& x)
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242 {
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243 return log (x + sqrt (x*x + 1.0));
1967
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244 }
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245
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246 Complex
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247 atan (const Complex& x)
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248 {
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249 static Complex i (0, 1);
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250
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251 return i * log ((i + x) / (i - x)) / 2.0;
1967
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252 }
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253
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254 Complex
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255 atanh (const Complex& x)
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256 {
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257 return log ((1.0 + x) / (1.0 - x)) / 2.0;
1967
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258 }
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259
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260 Complex
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261 ceil (const Complex& x)
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262 {
2800
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263 return Complex (ceil (real (x)), ceil (imag (x)));
1967
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264 }
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265
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266 Complex
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267 fix (const Complex& x)
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268 {
3012
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269 return Complex (fix (real (x)), fix (imag (x)));
1967
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270 }
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271
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272 Complex
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273 floor (const Complex& x)
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274 {
2800
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275 return Complex (floor (real (x)), floor (imag (x)));
1967
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276 }
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277
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278 Complex
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279 xround (const Complex& x)
1967
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280 {
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281 return Complex (xround (real (x)), xround (imag (x)));
1967
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282 }
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283
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284 Complex
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285 xroundb (const Complex& x)
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286 {
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287 return Complex (xroundb (real (x)), xroundb (imag (x)));
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288 }
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289
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290 Complex
1967
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291 signum (const Complex& x)
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292 {
6596
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293 double tmp = abs (x);
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294
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295 return tmp == 0 ? 0.0 : x / tmp;
1967
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296 }
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297
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298 // complex -> bool mappers.
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299
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300 bool
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301 octave_is_NA (const Complex& x)
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302 {
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303 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
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304 }
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diff changeset
305
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diff changeset
306 bool
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diff changeset
307 octave_is_NaN_or_NA (const Complex& x)
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diff changeset
308 {
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309 return (xisnan (real (x)) || xisnan (imag (x)));
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310 }
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diff changeset
311
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312 // (complex, complex) -> complex mappers.
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313
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314 // FIXME -- need to handle NA too?
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315
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316 Complex
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317 xmin (const Complex& x, const Complex& y)
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318 {
3757
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319 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
320 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
321
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
322 Complex
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
323 xmax (const Complex& x, const Complex& y)
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
324 {
3757
574711ce9070 [project @ 2000-12-15 18:19:15 by jwe]
jwe
parents: 3268
diff changeset
325 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
326 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
327
7789
82be108cc558 First attempt at single precision tyeps
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328
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
329 // float -> float mappers.
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
330
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
331 float
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
332 arg (float x)
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
333 {
7889
76142609e8d2 Remove some float-functions ambiguities.
John W. Eaton <jwe@octave.org>
parents: 7789
diff changeset
334 return atan2 (0.0f, x);
7789
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
335 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
336
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
337 float
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parents: 7740
diff changeset
338 conj (float x)
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
339 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
340 return x;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
341 }
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parents: 7740
diff changeset
342
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
343 float
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
344 fix (float x)
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
345 {
10459
20ce1bea653d use round and trunc from gnulib where possible
Jaroslav Hajek <highegg@gmail.com>
parents: 10436
diff changeset
346 return gnulib::truncf (x);
7789
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parents: 7740
diff changeset
347 }
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parents: 7740
diff changeset
348
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
349 float
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
350 imag (float)
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
351 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
352 return 0.0;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
353 }
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parents: 7740
diff changeset
354
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
355 float
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
356 real (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
357 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
358 return x;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
359 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
360
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
361 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
362 xround (float x)
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
363 {
10411
479cc8a0a846 use gnulib namespace
John W. Eaton <jwe@octave.org>
parents: 10314
diff changeset
364 return gnulib::round (x);
7789
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
365 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
366
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
367 float
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
368 xtrunc (float x)
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
369 {
10459
20ce1bea653d use round and trunc from gnulib where possible
Jaroslav Hajek <highegg@gmail.com>
parents: 10436
diff changeset
370 return gnulib::truncf (x);
7789
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
371 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
372
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
373 float
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
374 xroundb (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
375 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
376 float t = xround (x);
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
377
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
378 if (fabs (x - t) == 0.5)
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
379 t = 2 * xtrunc (0.5 * t);
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
380
82be108cc558 First attempt at single precision tyeps
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diff changeset
381 return t;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
382 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
383
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
384 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
385 signum (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
386 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
387 float tmp = 0.0;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
388
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
389 if (x < 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
390 tmp = -1.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
391 else if (x > 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
392 tmp = 1.0;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
393
82be108cc558 First attempt at single precision tyeps
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diff changeset
394 return xisnan (x) ? octave_Float_NaN : tmp;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
395 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
396
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
397 float
10436
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
398 mod (float x, float y)
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
399 {
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
400 if (y == 0)
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
401 return x;
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
402
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
403 float r = fmodf (x, y);
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
404 return ((r < 0) != (y < 0)) ? y+r : r;
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
405 }
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
406
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
407 float
7789
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
408 xlog2 (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
409 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
410 #if defined (HAVE_LOG2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
411 return log2 (x);
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
412 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
413 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
414 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
415 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
416 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
417 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
418
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
419 return log (x) / ln2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
420 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
421 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
422
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
423 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
424 xlog2 (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
425 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
426 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
427 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
428 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
429 static float ln2 = log (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
430 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
431
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
432 return std::log (x) / ln2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
433 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
434
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
435 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
436 xexp2 (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
437 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
438 #if defined (HAVE_EXP2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
439 return exp2 (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
440 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
441 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
442 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
443 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
444 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
445 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
446
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
447 return exp (x * ln2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
448 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
449 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
450
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
451 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
452 xlog2 (float x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
453 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
454 return frexpf (x, &exp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
455 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
456
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
457 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
458 xlog2 (const FloatComplex& x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
459 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
460 float ax = std::abs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
461 float lax = xlog2 (ax, exp);
9319
0d9178575dd7 fix log2 with 2 outargs, loosen tests to meet IEEE
Jaroslav Hajek <highegg@gmail.com>
parents: 8998
diff changeset
462 return (ax != lax) ? (x / ax) * lax : x;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
463 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
464
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
465 // float -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
466
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
467 #if ! defined(HAVE_CMATH_ISNANF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
468 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
469 xisnan (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
470 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
471 return lo_ieee_isnan (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
472 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
473 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
474
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
475 #if ! defined(HAVE_CMATH_ISFINITEF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
476 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
477 xfinite (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
478 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
479 return lo_ieee_finite (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
480 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
481 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
482
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
483 #if ! defined(HAVE_CMATH_ISINFF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
484 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
485 xisinf (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
486 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
487 return lo_ieee_isinf (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
488 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
489 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
490
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
491 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
492 octave_is_NA (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
493 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
494 return lo_ieee_is_NA (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
495 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
496
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
497 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
498 octave_is_NaN_or_NA (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
499 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
500 return lo_ieee_isnan (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
501 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
502
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
503 // (float, float) -> float mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
504
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
505 // complex -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
506
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
507 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
508 acos (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
509 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
510 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
511
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
512 return -i * (log (x + i * (sqrt (static_cast<float>(1.0) - x*x))));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
513 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
514
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
515 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
516 acosh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
517 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
518 return log (x + sqrt (x*x - static_cast<float>(1.0)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
519 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
520
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
521 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
522 asin (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
523 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
524 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
525
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
526 return -i * log (i*x + sqrt (static_cast<float>(1.0) - x*x));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
527 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
528
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
529 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
530 asinh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
531 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
532 return log (x + sqrt (x*x + static_cast<float>(1.0)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
533 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
534
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
535 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
536 atan (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
537 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
538 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
539
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
540 return i * log ((i + x) / (i - x)) / static_cast<float>(2.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
541 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
542
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
543 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
544 atanh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
545 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
546 return log ((static_cast<float>(1.0) + x) / (static_cast<float>(1.0) - x)) / static_cast<float>(2.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
547 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
548
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
549 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
550 ceil (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
551 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
552 return FloatComplex (ceil (real (x)), ceil (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
553 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
554
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
555 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
556 fix (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
557 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
558 return FloatComplex (fix (real (x)), fix (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
559 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
560
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
561 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
562 floor (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
563 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
564 return FloatComplex (floor (real (x)), floor (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
565 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
566
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
567 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
568 xround (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
569 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
570 return FloatComplex (xround (real (x)), xround (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
571 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
572
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
573 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
574 xroundb (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
575 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
576 return FloatComplex (xroundb (real (x)), xroundb (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
577 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
578
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
579 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
580 signum (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
581 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
582 float tmp = abs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
583
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
584 return tmp == 0 ? 0.0 : x / tmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
585 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
586
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
587 // complex -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
588
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
589 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
590 octave_is_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
591 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
592 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
593 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
594
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
595 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
596 octave_is_NaN_or_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
597 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
598 return (xisnan (real (x)) || xisnan (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
599 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
600
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
601 // (complex, complex) -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
602
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
603 // FIXME -- need to handle NA too?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
604
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
605 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
606 xmin (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
607 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
608 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
609 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
610
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
611 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
612 xmax (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
613 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
614 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
615 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
616
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
617 Complex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
618 rc_acos (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
619 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
620 return fabs (x) > 1.0 ? acos (Complex (x)) : Complex (acos (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
621 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
622
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
623 FloatComplex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
624 rc_acos (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
625 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
626 return fabsf (x) > 1.0f ? acos (FloatComplex (x)) : FloatComplex (acosf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
627 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
628
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
629 Complex rc_acosh (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
630 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
631 return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
632 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
633
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
634 FloatComplex rc_acosh (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
635 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
636 return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acoshf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
637 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
638
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
639 Complex rc_asin (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
640 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
641 return fabs (x) > 1.0 ? asin (Complex (x)) : Complex (asin (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
642 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
643
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
644 FloatComplex rc_asin (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
645 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
646 return fabsf (x) > 1.0f ? asin (FloatComplex (x)) : FloatComplex (asinf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
647 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
648
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
649 Complex rc_atanh (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
650 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
651 return fabs (x) > 1.0 ? atanh (Complex (x)) : Complex (atanh (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
652 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
653
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
654 FloatComplex rc_atanh (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
655 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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656 return fabsf (x) > 1.0f ? atanh (FloatComplex (x)) : FloatComplex (atanhf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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657 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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658
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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659 Complex rc_log (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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660 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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661 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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662 return x < 0.0 ? Complex (log (-x), pi) : Complex (log (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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663 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
664
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
665 FloatComplex rc_log (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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666 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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667 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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668 return x < 0.0f ? FloatComplex (logf (-x), pi) : FloatComplex (logf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
669 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
670
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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671 Complex rc_log2 (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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672 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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673 const double pil2 = 4.53236014182719380962; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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674 return x < 0.0 ? Complex (xlog2 (-x), pil2) : Complex (xlog2 (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
675 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
676
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
677 FloatComplex rc_log2 (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
678 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
679 const float pil2 = 4.53236014182719380962f; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
680 return x < 0.0f ? FloatComplex (xlog2 (-x), pil2) : FloatComplex (xlog2 (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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681 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
682
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
683 Complex rc_log10 (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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684 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
685 const double pil10 = 1.36437635384184134748; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
686 return x < 0.0 ? Complex (log10 (-x), pil10) : Complex (log10 (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
687 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
688
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
689 FloatComplex rc_log10 (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
690 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
691 const float pil10 = 1.36437635384184134748f; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
692 return x < 0.0f ? FloatComplex (log10 (-x), pil10) : FloatComplex (log10f (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
693 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
694
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
695 Complex rc_sqrt (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
696 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
697 return x < 0.0 ? Complex (0.0, sqrt (-x)) : Complex (sqrt (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
698 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
699
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
700 FloatComplex rc_sqrt (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
701 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
702 return x < 0.0f ? FloatComplex (0.0f, sqrtf (-x)) : FloatComplex (sqrtf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
703 }