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annotate liboctave/lo-mappers.cc @ 9636:74be4b7273e4 ss-3-3-50

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update version info for snapshot
author John W. Eaton <jwe@octave.org>
date Sat, 12 Sep 2009 06:55:13 -0400
parents 0d9178575dd7
children f80c566bc751
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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 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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a48fba01e4ac optimize isnan/isinf/isfinite mappers
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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);
1967
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198 }
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199 #endif
1967
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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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a48fba01e4ac optimize isnan/isinf/isfinite mappers
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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 {
4074
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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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diff changeset
218 octave_is_NA (double x)
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parents: 3873
diff changeset
219 {
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diff changeset
220 return lo_ieee_is_NA (x);
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diff changeset
221 }
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diff changeset
222
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diff changeset
223 bool
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parents: 3873
diff changeset
224 octave_is_NaN_or_NA (double x)
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parents: 3873
diff changeset
225 {
5389
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226 return lo_ieee_isnan (x);
4025
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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 // According to Matlab, is both args are NaN, the first one is returned.
4025
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232
1967
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parents:
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233 double
3248
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234 xmin (double x, double y)
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
235 {
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parents: 7889
diff changeset
236 return xisnan (y) ? x : (x <= y ? x : y);
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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237 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
238
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parents:
diff changeset
239 double
3248
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parents: 3206
diff changeset
240 xmax (double x, double y)
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
241 {
8751
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parents: 7889
diff changeset
242 return xisnan (y) ? x : (x >= y ? x : y);
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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243 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
244
3248
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diff changeset
245 // complex -> complex mappers.
1967
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246
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diff changeset
247 Complex
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parents:
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248 acos (const Complex& x)
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parents:
diff changeset
249 {
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diff changeset
250 static Complex i (0, 1);
3056
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parents: 3049
diff changeset
251
6414
250eebbd7ccc [project @ 2007-03-15 16:04:52 by jwe]
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parents: 5904
diff changeset
252 return -i * (log (x + i * (sqrt (1.0 - x*x))));
1967
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253 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
254
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parents:
diff changeset
255 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
256 acosh (const Complex& x)
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parents:
diff changeset
257 {
3056
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diff changeset
258 return log (x + sqrt (x*x - 1.0));
1967
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parents:
diff changeset
259 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
260
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parents:
diff changeset
261 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
262 asin (const Complex& x)
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jwe
parents:
diff changeset
263 {
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parents:
diff changeset
264 static Complex i (0, 1);
3056
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diff changeset
265
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parents: 3049
diff changeset
266 return -i * log (i*x + sqrt (1.0 - x*x));
1967
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267 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
268
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parents:
diff changeset
269 Complex
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diff changeset
270 asinh (const Complex& x)
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parents:
diff changeset
271 {
3056
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diff changeset
272 return log (x + sqrt (x*x + 1.0));
1967
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273 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
274
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jwe
parents:
diff changeset
275 Complex
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jwe
parents:
diff changeset
276 atan (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
277 {
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diff changeset
278 static Complex i (0, 1);
3056
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diff changeset
279
b08a007edd15 [project @ 1997-06-16 02:12:15 by jwe]
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diff changeset
280 return i * log ((i + x) / (i - x)) / 2.0;
1967
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281 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
282
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jwe
parents:
diff changeset
283 Complex
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jwe
parents:
diff changeset
284 atanh (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
285 {
3092
4bb976b250bf [project @ 1997-10-17 07:48:48 by jwe]
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parents: 3069
diff changeset
286 return log ((1.0 + x) / (1.0 - x)) / 2.0;
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
287 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
288
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
289 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
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diff changeset
290 ceil (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
291 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
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diff changeset
292 return Complex (ceil (real (x)), ceil (imag (x)));
1967
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diff changeset
293 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
294
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
295 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
296 fix (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
297 {
3012
0ea30e0e86cc [project @ 1997-06-02 18:57:07 by jwe]
jwe
parents: 2847
diff changeset
298 return Complex (fix (real (x)), fix (imag (x)));
1967
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jwe
parents:
diff changeset
299 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
300
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
301 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
302 floor (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
303 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 1993
diff changeset
304 return Complex (floor (real (x)), floor (imag (x)));
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
305 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
306
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
307 Complex
4968
c09cbec51190 [project @ 2004-09-08 02:13:55 by jwe]
jwe
parents: 4662
diff changeset
308 xround (const Complex& x)
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
309 {
4968
c09cbec51190 [project @ 2004-09-08 02:13:55 by jwe]
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parents: 4662
diff changeset
310 return Complex (xround (real (x)), xround (imag (x)));
1967
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jwe
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diff changeset
311 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
312
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
313 Complex
7636
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parents: 7231
diff changeset
314 xroundb (const Complex& x)
99c410f7f0b0 implement mapper function for banker's rounding
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parents: 7231
diff changeset
315 {
99c410f7f0b0 implement mapper function for banker's rounding
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parents: 7231
diff changeset
316 return Complex (xroundb (real (x)), xroundb (imag (x)));
99c410f7f0b0 implement mapper function for banker's rounding
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parents: 7231
diff changeset
317 }
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
318
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
319 Complex
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
320 signum (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
321 {
6596
64a7b0bec331 [project @ 2007-04-27 16:36:46 by jwe]
jwe
parents: 6414
diff changeset
322 double tmp = abs (x);
64a7b0bec331 [project @ 2007-04-27 16:36:46 by jwe]
jwe
parents: 6414
diff changeset
323
64a7b0bec331 [project @ 2007-04-27 16:36:46 by jwe]
jwe
parents: 6414
diff changeset
324 return tmp == 0 ? 0.0 : x / tmp;
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
325 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
326
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
327 // complex -> bool mappers.
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
328
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
329 bool
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
330 octave_is_NA (const Complex& x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
331 {
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
332 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
333 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
334
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
335 bool
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
336 octave_is_NaN_or_NA (const Complex& x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
337 {
5389
25c8956d2204 [project @ 2005-06-15 03:45:46 by jwe]
jwe
parents: 5307
diff changeset
338 return (xisnan (real (x)) || xisnan (imag (x)));
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
339 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
340
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
341 // (complex, complex) -> complex mappers.
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
342
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5389
diff changeset
343 // FIXME -- need to handle NA too?
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
344
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
345 Complex
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
346 xmin (const Complex& x, const Complex& y)
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
347 {
3757
574711ce9070 [project @ 2000-12-15 18:19:15 by jwe]
jwe
parents: 3268
diff changeset
348 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
349 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
350
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
351 Complex
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
352 xmax (const Complex& x, const Complex& y)
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
353 {
3757
574711ce9070 [project @ 2000-12-15 18:19:15 by jwe]
jwe
parents: 3268
diff changeset
354 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
355 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
356
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
357
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
358 // float -> float mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
359
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
360 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
361 arg (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
362 {
7889
76142609e8d2 Remove some float-functions ambiguities.
John W. Eaton <jwe@octave.org>
parents: 7789
diff changeset
363 return atan2 (0.0f, x);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
364 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
365
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
366 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
367 conj (float x)
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 return x;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
370 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
371
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
372 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
373 fix (float 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 return x > 0 ? floor (x) : ceil (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
376 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
377
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
378 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
379 imag (float)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
380 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
381 return 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
382 }
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
385 real (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
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
387 return x;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
390 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
391 xround (float x)
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 #if defined (HAVE_ROUND)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
394 return round (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
395 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
396 if (x >= 0)
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 float y = floor (x);
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 if ((x - y) >= 0.5)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
401 y += 1.0;
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 return y;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
404 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
405 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
406 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
407 float y = ceil (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
408
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
409 if ((y - x) >= 0.5)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
410 y -= 1.0;
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 return y;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
413 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
414 #endif
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
417 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
418 xtrunc (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
419 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
420 #if defined (HAVE_TRUNC)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
421 return trunc (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
422 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
423 return x > 0 ? floor (x) : ceil (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
424 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
425 }
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
428 xroundb (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
429 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
430 float t = xround (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
431
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
432 if (fabs (x - t) == 0.5)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
433 t = 2 * xtrunc (0.5 * t);
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 return t;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
438 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
439 signum (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
440 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
441 float tmp = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
442
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
443 if (x < 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
444 tmp = -1.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
445 else if (x > 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
446 tmp = 1.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
447
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
448 return xisnan (x) ? octave_Float_NaN : tmp;
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)
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 #if defined (HAVE_LOG2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
455 return log2 (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
456 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
457 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
458 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
459 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
460 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
461 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
462
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
463 return log (x) / ln2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
464 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
465 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
466
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
467 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
468 xlog2 (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
469 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
470 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
471 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
472 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
473 static float ln2 = log (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
474 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
475
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
476 return std::log (x) / ln2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
477 }
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 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
480 xexp2 (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
481 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
482 #if defined (HAVE_EXP2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
483 return exp2 (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
484 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
485 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
486 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
487 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
488 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
489 #endif
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 return exp (x * ln2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
492 #endif
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
496 xlog2 (float x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
497 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
498 return frexpf (x, &exp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
501 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
502 xlog2 (const FloatComplex& x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
503 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
504 float ax = std::abs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
505 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
506 return (ax != lax) ? (x / ax) * lax : x;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
507 }
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 // float -> bool mappers.
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 #if ! defined(HAVE_CMATH_ISNANF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
512 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
513 xisnan (float x)
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 return lo_ieee_isnan (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
516 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
517 #endif
7789
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 #if ! defined(HAVE_CMATH_ISFINITEF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
520 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
521 xfinite (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
522 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
523 return lo_ieee_finite (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
524 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
525 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
526
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
527 #if ! defined(HAVE_CMATH_ISINFF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
528 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
529 xisinf (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
530 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
531 return lo_ieee_isinf (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
532 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
533 #endif
7789
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 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
536 octave_is_NA (float 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 return lo_ieee_is_NA (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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
541 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
542 octave_is_NaN_or_NA (float 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 return lo_ieee_isnan (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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
547 // (float, float) -> float mappers.
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 // FIXME -- need to handle NA too?
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 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
552 xmin (float x, float y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
553 {
8904
4de5544a1d1d simplify also float version of xmin/xmax
Jaroslav Hajek <highegg@gmail.com>
parents: 8751
diff changeset
554 return xisnan (y) ? x : (x <= y ? x : y);
7789
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
557 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
558 xmax (float x, float y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
559 {
8904
4de5544a1d1d simplify also float version of xmin/xmax
Jaroslav Hajek <highegg@gmail.com>
parents: 8751
diff changeset
560 return xisnan (y) ? x : (x >= y ? x : y);
7789
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
563 // complex -> complex mappers.
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 acos (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 (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
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 acosh (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 (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
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 asin (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 static FloatComplex i (0, 1);
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 -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
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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
588 asinh (const FloatComplex& 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 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
591 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
592
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
593 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
594 atan (const FloatComplex& 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 static FloatComplex i (0, 1);
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 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
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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
602 atanh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
603 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
604 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
605 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
606
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
607 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
608 ceil (const FloatComplex& x)
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 return FloatComplex (ceil (real (x)), ceil (imag (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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
613 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
614 fix (const FloatComplex& x)
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 return FloatComplex (fix (real (x)), fix (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
617 }
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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
620 floor (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 FloatComplex (floor (real (x)), floor (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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
626 xround (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 FloatComplex (xround (real (x)), xround (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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
632 xroundb (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
633 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
634 return FloatComplex (xroundb (real (x)), xroundb (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
635 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
636
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
637 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
638 signum (const FloatComplex& x)
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 float tmp = abs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
641
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
642 return tmp == 0 ? 0.0 : x / tmp;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
645 // complex -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
646
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
647 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
648 octave_is_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
649 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
650 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
651 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
652
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
653 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
654 octave_is_NaN_or_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
655 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
656 return (xisnan (real (x)) || xisnan (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
657 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
658
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
659 // (complex, complex) -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
660
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
661 // FIXME -- need to handle NA too?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
662
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
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663 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
664 xmin (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
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665 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
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666 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
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667 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
668
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
669 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
670 xmax (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
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671 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
672 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
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673 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
674
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
675 /*
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
676 ;;; Local Variables: ***
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
677 ;;; mode: C++ ***
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
678 ;;; End: ***
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
679 */