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annotate liboctave/lo-mappers.cc @ 10411:479cc8a0a846

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author John W. Eaton <jwe@octave.org>
date Mon, 15 Mar 2010 15:57:23 -0400
parents 07ebe522dac2
children 00219bdd2d17
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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 x > 0 ? floor (x) : ceil (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 #if defined (HAVE_ROUND)
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76 return gnulib::round (x);
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77 #else
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78 if (x >= 0)
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79 {
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80 double y = floor (x);
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81
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82 if ((x - y) >= 0.5)
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83 y += 1.0;
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84
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85 return y;
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86 }
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87 else
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88 {
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89 double y = ceil (x);
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90
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91 if ((y - x) >= 0.5)
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92 y -= 1.0;
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93
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94 return y;
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95 }
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96 #endif
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97 }
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98
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99 double
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100 xtrunc (double x)
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101 {
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102 #if defined (HAVE_TRUNC)
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103 return trunc (x);
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104 #else
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105 return x > 0 ? floor (x) : ceil (x);
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106 #endif
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107 }
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108
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109 double
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110 xroundb (double x)
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111 {
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112 double t = xround (x);
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113
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114 if (fabs (x - t) == 0.5)
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115 t = 2 * xtrunc (0.5 * t);
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116
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117 return t;
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118 }
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119
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120 double
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121 signum (double x)
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122 {
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123 double tmp = 0.0;
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124
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125 if (x < 0.0)
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126 tmp = -1.0;
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127 else if (x > 0.0)
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128 tmp = 1.0;
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129
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130 return xisnan (x) ? octave_NaN : tmp;
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131 }
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132
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133 double
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134 xlog2 (double x)
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135 {
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136 #if defined (HAVE_LOG2)
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137 return log2 (x);
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138 #else
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139 #if defined (M_LN2)
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140 static double ln2 = M_LN2;
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141 #else
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142 static double ln2 = log (2);
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143 #endif
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144
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145 return log (x) / ln2;
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146 #endif
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147 }
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148
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149 Complex
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150 xlog2 (const Complex& x)
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151 {
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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 std::log (x) / ln2;
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159 }
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160
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161 double
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162 xexp2 (double x)
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163 {
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164 #if defined (HAVE_EXP2)
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165 return exp2 (x);
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166 #else
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167 #if defined (M_LN2)
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168 static double ln2 = M_LN2;
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169 #else
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170 static double ln2 = log (2);
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171 #endif
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172
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173 return exp (x * ln2);
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174 #endif
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175 }
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176
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177 double
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178 xlog2 (double x, int& exp)
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179 {
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180 return frexp (x, &exp);
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181 }
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182
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183 Complex
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184 xlog2 (const Complex& x, int& exp)
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185 {
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186 double ax = std::abs (x);
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187 double lax = xlog2 (ax, exp);
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188 return (ax != lax) ? (x / ax) * lax : x;
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189 }
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190
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191 // double -> bool mappers.
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192
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193 #if ! defined(HAVE_CMATH_ISNAN)
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194 bool
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195 xisnan (double x)
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196 {
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197 return lo_ieee_isnan (x);
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198 }
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199 #endif
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200
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201 #if ! defined(HAVE_CMATH_ISFINITE)
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202 bool
1967
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203 xfinite (double x)
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204 {
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205 return lo_ieee_finite (x);
1967
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206 }
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207 #endif
1967
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208
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209 #if ! defined(HAVE_CMATH_ISINF)
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210 bool
1967
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211 xisinf (double x)
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212 {
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213 return lo_ieee_isinf (x);
1967
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214 }
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215 #endif
1967
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216
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217 bool
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218 octave_is_NA (double x)
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219 {
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220 return lo_ieee_is_NA (x);
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221 }
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222
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223 bool
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224 octave_is_NaN_or_NA (double x)
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225 {
5389
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226 return lo_ieee_isnan (x);
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227 }
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228
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229 // (double, double) -> double mappers.
1967
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230
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231 // complex -> complex mappers.
1967
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232
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233 Complex
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234 acos (const Complex& x)
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235 {
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236 static Complex i (0, 1);
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237
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238 return -i * (log (x + i * (sqrt (1.0 - x*x))));
1967
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239 }
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240
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241 Complex
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242 acosh (const Complex& x)
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243 {
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244 return log (x + sqrt (x*x - 1.0));
1967
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245 }
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246
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247 Complex
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248 asin (const Complex& x)
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249 {
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250 static Complex i (0, 1);
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251
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252 return -i * log (i*x + sqrt (1.0 - x*x));
1967
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253 }
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254
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255 Complex
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256 asinh (const Complex& x)
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257 {
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258 return log (x + sqrt (x*x + 1.0));
1967
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259 }
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260
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261 Complex
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262 atan (const Complex& x)
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263 {
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264 static Complex i (0, 1);
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265
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266 return i * log ((i + x) / (i - x)) / 2.0;
1967
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267 }
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268
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269 Complex
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diff changeset
270 atanh (const Complex& x)
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271 {
3092
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272 return log ((1.0 + x) / (1.0 - x)) / 2.0;
1967
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273 }
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274
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275 Complex
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276 ceil (const Complex& x)
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277 {
2800
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diff changeset
278 return Complex (ceil (real (x)), ceil (imag (x)));
1967
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279 }
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280
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diff changeset
281 Complex
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282 fix (const Complex& x)
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diff changeset
283 {
3012
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diff changeset
284 return Complex (fix (real (x)), fix (imag (x)));
1967
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285 }
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diff changeset
286
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287 Complex
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288 floor (const Complex& x)
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289 {
2800
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diff changeset
290 return Complex (floor (real (x)), floor (imag (x)));
1967
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291 }
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diff changeset
292
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diff changeset
293 Complex
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diff changeset
294 xround (const Complex& x)
1967
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295 {
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296 return Complex (xround (real (x)), xround (imag (x)));
1967
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297 }
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diff changeset
298
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diff changeset
299 Complex
7636
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300 xroundb (const Complex& x)
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diff changeset
301 {
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diff changeset
302 return Complex (xroundb (real (x)), xroundb (imag (x)));
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parents: 7231
diff changeset
303 }
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diff changeset
304
99c410f7f0b0 implement mapper function for banker's rounding
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parents: 7231
diff changeset
305 Complex
1967
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jwe
parents:
diff changeset
306 signum (const Complex& x)
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jwe
parents:
diff changeset
307 {
6596
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parents: 6414
diff changeset
308 double tmp = abs (x);
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parents: 6414
diff changeset
309
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diff changeset
310 return tmp == 0 ? 0.0 : x / tmp;
1967
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311 }
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diff changeset
312
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313 // complex -> bool mappers.
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diff changeset
314
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diff changeset
315 bool
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diff changeset
316 octave_is_NA (const Complex& x)
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parents: 3873
diff changeset
317 {
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diff changeset
318 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
319 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
320
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
321 bool
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
322 octave_is_NaN_or_NA (const Complex& x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
323 {
5389
25c8956d2204 [project @ 2005-06-15 03:45:46 by jwe]
jwe
parents: 5307
diff changeset
324 return (xisnan (real (x)) || xisnan (imag (x)));
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
325 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
326
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
327 // (complex, complex) -> complex mappers.
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
328
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5389
diff changeset
329 // FIXME -- need to handle NA too?
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
330
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
331 Complex
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
332 xmin (const Complex& x, const Complex& y)
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
333 {
3757
574711ce9070 [project @ 2000-12-15 18:19:15 by jwe]
jwe
parents: 3268
diff changeset
334 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
335 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
336
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
337 Complex
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
338 xmax (const Complex& x, const Complex& y)
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
339 {
3757
574711ce9070 [project @ 2000-12-15 18:19:15 by jwe]
jwe
parents: 3268
diff changeset
340 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
341 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
342
7789
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parents: 7740
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343
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parents: 7740
diff changeset
344 // float -> float mappers.
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parents: 7740
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345
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
346 float
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
347 arg (float x)
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parents: 7740
diff changeset
348 {
7889
76142609e8d2 Remove some float-functions ambiguities.
John W. Eaton <jwe@octave.org>
parents: 7789
diff changeset
349 return atan2 (0.0f, x);
7789
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
350 }
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
351
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
352 float
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
353 conj (float x)
82be108cc558 First attempt at single precision tyeps
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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 return x;
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
356 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
357
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
358 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
359 fix (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
360 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
361 return x > 0 ? floor (x) : ceil (x);
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
362 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
363
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
364 float
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
365 imag (float)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
366 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
367 return 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
368 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
369
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
370 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
371 real (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
372 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
373 return x;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
374 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
375
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
376 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
377 xround (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
378 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
379 #if defined (HAVE_ROUND)
10411
479cc8a0a846 use gnulib namespace
John W. Eaton <jwe@octave.org>
parents: 10314
diff changeset
380 return gnulib::round (x);
7789
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
381 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
382 if (x >= 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
383 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
384 float y = floor (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
385
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
386 if ((x - y) >= 0.5)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
387 y += 1.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
388
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
389 return y;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
390 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
391 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
392 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
393 float y = ceil (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
394
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
395 if ((y - x) >= 0.5)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
396 y -= 1.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
397
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
398 return y;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
399 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
400 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
401 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
402
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
403 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
404 xtrunc (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
405 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
406 #if defined (HAVE_TRUNC)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
407 return trunc (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
408 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
409 return x > 0 ? floor (x) : ceil (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
410 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
411 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
412
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
413 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
414 xroundb (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
415 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
416 float t = xround (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
417
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
418 if (fabs (x - t) == 0.5)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
419 t = 2 * xtrunc (0.5 * t);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
420
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
421 return t;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
424 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
425 signum (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
426 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
427 float tmp = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
428
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
429 if (x < 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
430 tmp = -1.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
431 else if (x > 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
432 tmp = 1.0;
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 return xisnan (x) ? octave_Float_NaN : tmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
435 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
436
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
437 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
438 xlog2 (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
439 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
440 #if defined (HAVE_LOG2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
441 return log2 (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
442 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
443 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
444 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
445 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
446 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
447 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
448
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
449 return log (x) / ln2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
450 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
451 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
452
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
453 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
454 xlog2 (const FloatComplex& x)
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 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
457 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
458 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
459 static float ln2 = log (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
460 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
461
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
462 return std::log (x) / ln2;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
466 xexp2 (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
467 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
468 #if defined (HAVE_EXP2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
469 return exp2 (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
470 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
471 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
472 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
473 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
474 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
475 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
476
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
477 return exp (x * ln2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
478 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
479 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
480
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
481 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
482 xlog2 (float x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
483 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
484 return frexpf (x, &exp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
485 }
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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
488 xlog2 (const FloatComplex& x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
489 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
490 float ax = std::abs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
491 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
492 return (ax != lax) ? (x / ax) * lax : x;
7789
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
495 // float -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
496
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
497 #if ! defined(HAVE_CMATH_ISNANF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
498 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
499 xisnan (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
500 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
501 return lo_ieee_isnan (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
502 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
503 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
504
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
505 #if ! defined(HAVE_CMATH_ISFINITEF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
506 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
507 xfinite (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
508 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
509 return lo_ieee_finite (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
510 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
511 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
512
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
513 #if ! defined(HAVE_CMATH_ISINFF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
514 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
515 xisinf (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
516 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
517 return lo_ieee_isinf (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
518 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
519 #endif
7789
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 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
522 octave_is_NA (float 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 return lo_ieee_is_NA (x);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
527 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
528 octave_is_NaN_or_NA (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
529 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
530 return lo_ieee_isnan (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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
533 // (float, float) -> float mappers.
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 // complex -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
536
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
537 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
538 acos (const FloatComplex& x)
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 static FloatComplex i (0, 1);
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 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
543 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
544
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
545 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
546 acosh (const FloatComplex& x)
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 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
549 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
550
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
551 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
552 asin (const FloatComplex& 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 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
556 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
557 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
558
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
559 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
560 asinh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
561 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
562 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
563 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
564
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
565 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
566 atan (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
567 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
568 static FloatComplex i (0, 1);
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 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
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 atanh (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 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
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 ceil (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 return FloatComplex (ceil (real (x)), ceil (imag (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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
585 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
586 fix (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
587 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
588 return FloatComplex (fix (real (x)), fix (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
589 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
590
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
591 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
592 floor (const FloatComplex& 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 return FloatComplex (floor (real (x)), floor (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
595 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
596
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
597 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
598 xround (const FloatComplex& 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 return FloatComplex (xround (real (x)), xround (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
601 }
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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
604 xroundb (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
605 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
606 return FloatComplex (xroundb (real (x)), xroundb (imag (x)));
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
609 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
610 signum (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
611 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
612 float tmp = abs (x);
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 tmp == 0 ? 0.0 : x / tmp;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
617 // complex -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
618
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
619 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
620 octave_is_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
621 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
622 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
623 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
624
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
625 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
626 octave_is_NaN_or_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
627 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
628 return (xisnan (real (x)) || xisnan (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
629 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
630
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
631 // (complex, complex) -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
632
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
633 // FIXME -- need to handle NA too?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
634
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
635 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
636 xmin (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
637 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
638 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
639 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
640
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
641 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
642 xmax (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
643 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
644 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
645 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
646
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
647 Complex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
648 rc_acos (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
649 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
650 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
651 }
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 FloatComplex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
654 rc_acos (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
diff changeset
656 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
657 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
658
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
659 Complex rc_acosh (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
660 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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661 return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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662 }
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 FloatComplex rc_acosh (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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665 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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666 return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acoshf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
667 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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668
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
669 Complex rc_asin (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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670 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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671 return fabs (x) > 1.0 ? asin (Complex (x)) : Complex (asin (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
diff changeset
673
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
674 FloatComplex rc_asin (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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675 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
676 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
677 }
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 Complex rc_atanh (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
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680 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
681 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
682 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
683
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
684 FloatComplex rc_atanh (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
685 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
686 return fabsf (x) > 1.0f ? atanh (FloatComplex (x)) : FloatComplex (atanhf (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 Complex rc_log (double 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 double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
692 return x < 0.0 ? Complex (log (-x), pi) : Complex (log (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 FloatComplex rc_log (float 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 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
698 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
699 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
700
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
701 Complex rc_log2 (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
702 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
703 const double pil2 = 4.53236014182719380962; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
704 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
705 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
706
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
707 FloatComplex rc_log2 (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
708 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
709 const float pil2 = 4.53236014182719380962f; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
710 return x < 0.0f ? FloatComplex (xlog2 (-x), pil2) : FloatComplex (xlog2 (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
711 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
712
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
713 Complex rc_log10 (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
714 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
715 const double pil10 = 1.36437635384184134748; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
716 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
717 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
718
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
719 FloatComplex rc_log10 (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
720 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
721 const float pil10 = 1.36437635384184134748f; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
722 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
723 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
724
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
725 Complex rc_sqrt (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
726 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
727 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
728 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
729
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
730 FloatComplex rc_sqrt (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
731 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
732 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
733 }