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annotate liboctave/numeric/lo-mappers.cc @ 21232:b8cf410b5c88

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eliminate feature tests from lo-mappers.h * lo-mappers.h, lo-mappers.cc (xisinf, xisnan, xfinite): Move feature tests inside functions in lo-mappers.cc.
author John W. Eaton <jwe@octave.org>
date Tue, 09 Feb 2016 04:55:29 -0500
parents 5f318c8ec634
children 40de9f8f23a6
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 1996-2015 John W. Eaton
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4 Copyright (C) 2010 VZLU Prague
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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 // Both xtrunc and xround belong here so we can keep gnulib:: out of
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43 // lo-mappers.h.
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44
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45 double
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46 xtrunc (double x)
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47 {
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48 return gnulib::trunc (x);
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49 }
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50
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51 double
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52 xcopysign (double x, double y)
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53 {
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54 return gnulib::copysign (x, y);
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55 }
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56
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57 double xfloor (double x)
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58 {
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59 return gnulib::floor (x);
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60 }
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61
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62 double
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63 xround (double x)
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64 {
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65 return gnulib::round (x);
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66 }
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67
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68 double
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69 xroundb (double x)
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70 {
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71 double t = xround (x);
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72
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73 if (fabs (x - t) == 0.5)
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74 t = 2 * xtrunc (0.5 * t);
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75
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76 return t;
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77 }
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78
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79 double
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80 signum (double x)
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81 {
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82 double tmp = 0.0;
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83
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84 if (x < 0.0)
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85 tmp = -1.0;
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86 else if (x > 0.0)
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87 tmp = 1.0;
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88
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89 return xisnan (x) ? octave_NaN : tmp;
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90 }
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91
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92 double
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93 xlog2 (double x)
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94 {
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95 return gnulib::log2 (x);
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96 }
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97
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98 Complex
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99 xlog2 (const Complex& x)
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100 {
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101 #if defined (M_LN2)
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102 static double ln2 = M_LN2;
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103 #else
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104 static double ln2 = gnulib::log (2);
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105 #endif
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106
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107 return std::log (x) / ln2;
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108 }
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109
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110 double
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111 xexp2 (double x)
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112 {
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113 #if defined (HAVE_EXP2)
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114 return exp2 (x);
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115 #else
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116 # if defined (M_LN2)
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117 static double ln2 = M_LN2;
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118 #else
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119 static double ln2 = gnulib::log (2);
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120 #endif
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121
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122 return exp (x * ln2);
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123 #endif
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124 }
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125
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126 double
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127 xlog2 (double x, int& exp)
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128 {
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129 return gnulib::frexp (x, &exp);
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130 }
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131
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132 Complex
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133 xlog2 (const Complex& x, int& exp)
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134 {
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135 double ax = std::abs (x);
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136 double lax = xlog2 (ax, exp);
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137 return (ax != lax) ? (x / ax) * lax : x;
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138 }
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139
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140 // double -> bool mappers.
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141
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142 bool
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143 xisnan (double x)
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144 {
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145 #if defined (HAVE_CMATH_ISNAN)
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146 return std::isnan (x);
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147 #else
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148 return lo_ieee_isnan (x);
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149 #endif
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150 }
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151
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152 bool
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153 xfinite (double x)
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154 {
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155 #if defined (HAVE_CMATH_ISFINITE)
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156 return std::isfinite (x);
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157 #else
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158 return lo_ieee_finite (x);
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159 #endif
21232
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160 }
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161
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162 bool
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163 xisinf (double x)
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164 {
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165 #if defined (HAVE_CMATH_ISINF)
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166 return std::isinf (x);
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167 #else
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168 return lo_ieee_isinf (x);
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169 #endif
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170 }
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171
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172 bool
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173 octave_is_NA (double x)
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174 {
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175 return lo_ieee_is_NA (x);
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176 }
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177
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178 // (double, double) -> double mappers.
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179
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180 // complex -> complex mappers.
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181
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182 Complex
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183 acos (const Complex& x)
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184 {
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185 static Complex i (0, 1);
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186
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187 Complex tmp;
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188
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189 if (imag (x) == 0.0)
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190 {
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191 // If the imaginary part of X is 0, then avoid generating an
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192 // imaginary part of -0 for the expression 1-x*x.
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193 // This effectively chooses the same phase of the branch cut as Matlab.
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194 double xr = real (x);
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195 tmp = Complex (1.0 - xr*xr);
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196 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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197 else
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198 tmp = 1.0 - x*x;
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199
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200 return -i * log (x + i * sqrt (tmp));
1967
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201 }
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202
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203 Complex
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204 asin (const Complex& x)
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205 {
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206 static Complex i (0, 1);
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207
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208 Complex tmp;
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209
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diff changeset
210 if (imag (x) == 0.0)
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211 {
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212 // If the imaginary part of X is 0, then avoid generating an
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213 // imaginary part of -0 for the expression 1-x*x.
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214 // This effectively chooses the same phase of the branch cut as Matlab.
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215 double xr = real (x);
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diff changeset
216 tmp = Complex (1.0 - xr*xr);
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diff changeset
217 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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diff changeset
218 else
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diff changeset
219 tmp = 1.0 - x*x;
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diff changeset
220
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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diff changeset
221 return -i * log (i*x + sqrt (tmp));
1967
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222 }
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223
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224 Complex
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225 atan (const Complex& x)
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226 {
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227 static Complex i (0, 1);
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228
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229 return i * log ((i + x) / (i - x)) / 2.0;
1967
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230 }
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231
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232 // complex -> bool mappers.
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233
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234 bool
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235 octave_is_NA (const Complex& x)
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236 {
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237 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
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238 }
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239
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diff changeset
240 bool
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diff changeset
241 octave_is_NaN_or_NA (const Complex& x)
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diff changeset
242 {
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243 return (xisnan (real (x)) || xisnan (imag (x)));
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244 }
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245
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246 // (complex, complex) -> complex mappers.
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diff changeset
247
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diff changeset
248 // FIXME: need to handle NA too?
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249
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250 Complex
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251 xmin (const Complex& x, const Complex& y)
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diff changeset
252 {
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diff changeset
253 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
3248
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254 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
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diff changeset
255
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diff changeset
256 Complex
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diff changeset
257 xmax (const Complex& x, const Complex& y)
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diff changeset
258 {
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diff changeset
259 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
3248
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260 }
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261
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262
82be108cc558 First attempt at single precision tyeps
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parents: 7740
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263 // float -> float mappers.
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parents: 7740
diff changeset
264
11237
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parents: 11212
diff changeset
265 // Both xtrunc and xround belong here so we can keep gnulib:: out of
110e570e5f8d keep gnulib out of lo-mappers.h
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diff changeset
266 // lo-mappers.h.
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diff changeset
267
110e570e5f8d keep gnulib out of lo-mappers.h
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diff changeset
268 float
110e570e5f8d keep gnulib out of lo-mappers.h
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diff changeset
269 xtrunc (float x)
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diff changeset
270 {
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diff changeset
271 return gnulib::truncf (x);
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diff changeset
272 }
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273
110e570e5f8d keep gnulib out of lo-mappers.h
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diff changeset
274 float
13737
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diff changeset
275 xcopysign (float x, float y)
30414ff19d5e Use copysignf module from gnulib.
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diff changeset
276 {
30414ff19d5e Use copysignf module from gnulib.
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277 return gnulib::copysignf (x, y);
30414ff19d5e Use copysignf module from gnulib.
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diff changeset
278 }
30414ff19d5e Use copysignf module from gnulib.
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279
15409
c898dbe14e1d build: Update imported module list from gnulib.
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diff changeset
280 float xfloor (float x)
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diff changeset
281 {
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282 return gnulib::floorf (x);
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diff changeset
283 }
c898dbe14e1d build: Update imported module list from gnulib.
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parents: 15271
diff changeset
284
13737
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
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diff changeset
285 float
11237
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diff changeset
286 xround (float x)
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diff changeset
287 {
15409
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diff changeset
288 return gnulib::roundf (x);
11237
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diff changeset
289 }
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parents: 11212
diff changeset
290
11586
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parents: 11525
diff changeset
291 float
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diff changeset
292 xroundb (float x)
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293 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
294 float t = xround (x);
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diff changeset
295
11212
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parents: 11211
diff changeset
296 if (fabsf (x - t) == 0.5)
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297 t = 2 * xtrunc (0.5 * t);
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298
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299 return t;
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300 }
82be108cc558 First attempt at single precision tyeps
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301
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302 float
82be108cc558 First attempt at single precision tyeps
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diff changeset
303 signum (float x)
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David Bateman <dbateman@free.fr>
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304 {
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305 float tmp = 0.0;
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306
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diff changeset
307 if (x < 0.0)
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diff changeset
308 tmp = -1.0;
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diff changeset
309 else if (x > 0.0)
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diff changeset
310 tmp = 1.0;
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311
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312 return xisnan (x) ? octave_Float_NaN : tmp;
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313 }
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314
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diff changeset
315 float
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diff changeset
316 xlog2 (float x)
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317 {
18847
ff4da3c8ed16 use gnulib log2 modules (bug #42583)
John W. Eaton <jwe@octave.org>
parents: 17843
diff changeset
318 return gnulib::log2f (x);
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319 }
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320
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diff changeset
321 FloatComplex
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parents: 7740
diff changeset
322 xlog2 (const FloatComplex& x)
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parents: 7740
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323 {
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diff changeset
324 #if defined (M_LN2)
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325 static float ln2 = M_LN2;
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326 #else
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327 static float ln2 = log (2);
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328 #endif
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329
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diff changeset
330 return std::log (x) / ln2;
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331 }
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332
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333 float
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parents: 7740
diff changeset
334 xexp2 (float x)
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parents: 7740
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335 {
15452
4d960b078272 build: Remove unnecessary AC_CHECK_FUNCS calls.
Rik <rik@octave.org>
parents: 15409
diff changeset
336 #if defined (HAVE_EXP2F)
4d960b078272 build: Remove unnecessary AC_CHECK_FUNCS calls.
Rik <rik@octave.org>
parents: 15409
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337 return exp2f (x);
4d960b078272 build: Remove unnecessary AC_CHECK_FUNCS calls.
Rik <rik@octave.org>
parents: 15409
diff changeset
338 #elif defined (HAVE_EXP2)
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339 return exp2 (x);
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340 #else
21202
f7121e111991 maint: indent #ifdef blocks in liboctave and src directories.
Rik <rik@octave.org>
parents: 20791
diff changeset
341 # if defined (M_LN2)
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342 static float ln2 = M_LN2;
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343 #else
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344 static float ln2 = log2 (2);
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345 #endif
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346
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347 return exp (x * ln2);
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diff changeset
348 #endif
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349 }
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350
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351 float
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diff changeset
352 xlog2 (float x, int& exp)
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diff changeset
353 {
17843
573f865aa8c8 use gnulib frexp module
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
354 return gnulib::frexpf (x, &exp);
7789
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355 }
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parents: 7740
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356
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parents: 7740
diff changeset
357 FloatComplex
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358 xlog2 (const FloatComplex& x, int& exp)
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parents: 7740
diff changeset
359 {
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360 float ax = std::abs (x);
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361 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
362 return (ax != lax) ? (x / ax) * lax : x;
7789
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363 }
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diff changeset
364
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365 // float -> bool mappers.
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366
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367 bool
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368 xisnan (float x)
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369 {
21232
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
370 #if defined (HAVE_CMATH_ISNANF)
b8cf410b5c88 eliminate feature tests from lo-mappers.h
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371 return std::isnan (x);
b8cf410b5c88 eliminate feature tests from lo-mappers.h
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parents: 21231
diff changeset
372 #else
7789
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373 return lo_ieee_isnan (x);
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
374 #endif
21232
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
375 }
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376
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377 bool
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378 xfinite (float x)
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diff changeset
379 {
21232
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
380 #if defined (HAVE_CMATH_ISFINITEF)
b8cf410b5c88 eliminate feature tests from lo-mappers.h
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parents: 21231
diff changeset
381 return std::isfinite (x);
b8cf410b5c88 eliminate feature tests from lo-mappers.h
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parents: 21231
diff changeset
382 #else
7789
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383 return lo_ieee_finite (x);
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
384 #endif
21232
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
385 }
7789
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386
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diff changeset
387 bool
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diff changeset
388 xisinf (float x)
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parents: 7740
diff changeset
389 {
21232
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
390 #if defined (HAVE_CMATH_ISINFF)
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
391 return std::isinf (x);
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
392 #else
7789
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393 return lo_ieee_isinf (x);
21232
b8cf410b5c88 eliminate feature tests from lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 21231
diff changeset
394 #endif
7789
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diff changeset
395 }
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parents: 7740
diff changeset
396
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parents: 7740
diff changeset
397 bool
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parents: 7740
diff changeset
398 octave_is_NA (float x)
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parents: 7740
diff changeset
399 {
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diff changeset
400 return lo_ieee_is_NA (x);
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parents: 7740
diff changeset
401 }
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parents: 7740
diff changeset
402
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
403 // (float, float) -> float mappers.
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parents: 7740
diff changeset
404
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parents: 7740
diff changeset
405 // complex -> complex mappers.
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parents: 7740
diff changeset
406
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
407 FloatComplex
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
408 acos (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
409 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
410 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
411
19242
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
412 FloatComplex tmp;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
413
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
414 if (imag (x) == 0.0f)
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
415 {
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
416 // If the imaginary part of X is 0, then avoid generating an
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
417 // imaginary part of -0 for the expression 1-x*x.
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
418 // This effectively chooses the same phase of the branch cut as Matlab.
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
419 float xr = real (x);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
420 tmp = FloatComplex (1.0f - xr*xr);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
421 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
422 else
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
423 tmp = 1.0f - x*x;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
424
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
425 return -i * log (x + i * sqrt (tmp));
7789
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diff changeset
426 }
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parents: 7740
diff changeset
427
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
428 FloatComplex
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parents: 7740
diff changeset
429 asin (const FloatComplex& x)
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
430 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
431 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
432
19242
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
433 FloatComplex tmp;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
434
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
435 if (imag (x) == 0.0f)
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
436 {
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
437 // If the imaginary part of X is 0, then avoid generating an
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
438 // imaginary part of -0 for the expression 1-x*x.
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
439 // This effectively chooses the same phase of the branch cut as Matlab.
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
440 float xr = real (x);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
441 tmp = FloatComplex (1.0f - xr*xr);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
442 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
443 else
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
444 tmp = 1.0f - x*x;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
445
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 18928
diff changeset
446 return -i * log (i*x + sqrt (tmp));
7789
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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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
449 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
450 atan (const FloatComplex& x)
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 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
453
19738
9155bab86647 use 0.0f style constants instead of static_cast<float> (0.0)
John W. Eaton <jwe@octave.org>
parents: 19730
diff changeset
454 return i * log ((i + x) / (i - x)) / 2.0f;
7789
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diff changeset
455 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
456
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
457 // complex -> bool mappers.
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
458
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
459 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
460 octave_is_NA (const FloatComplex& x)
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 (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
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 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
466 octave_is_NaN_or_NA (const FloatComplex& 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 return (xisnan (real (x)) || xisnan (imag (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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
471 // (complex, complex) -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
472
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
473 // FIXME: need to handle NA too?
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
474
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
475 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
476 xmin (const FloatComplex& x, const FloatComplex& y)
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 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
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 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
482 xmax (const FloatComplex& x, const FloatComplex& y)
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 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
485 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
486
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
487 Complex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
488 rc_acos (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
489 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
490 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
491 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
492
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
493 FloatComplex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
494 rc_acos (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
495 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
496 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
497 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
498
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
499 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
500 rc_acosh (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
501 {
21231
5f318c8ec634 eliminate feature tests from lo-specfun.h
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
502 return x < 1.0 ? xacosh (Complex (x)) : Complex (xacosh (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
503 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
504
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
505 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
506 rc_acosh (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
507 {
21231
5f318c8ec634 eliminate feature tests from lo-specfun.h
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
508 return x < 1.0f ? xacosh (FloatComplex (x)) : FloatComplex (xacosh (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
509 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
510
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
511 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
512 rc_asin (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
513 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
514 return fabs (x) > 1.0 ? asin (Complex (x)) : Complex (asin (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
515 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
516
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
517 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
518 rc_asin (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
519 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
520 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
521 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
522
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
523 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
524 rc_atanh (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
525 {
21231
5f318c8ec634 eliminate feature tests from lo-specfun.h
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
526 return fabs (x) > 1.0 ? xatanh (Complex (x)) : Complex (xatanh (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
527 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
528
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
529 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
530 rc_atanh (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
531 {
21231
5f318c8ec634 eliminate feature tests from lo-specfun.h
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
532 return fabsf (x) > 1.0f ? xatanh (FloatComplex (x))
5f318c8ec634 eliminate feature tests from lo-specfun.h
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
533 : FloatComplex (xatanh (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
534 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
535
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
536 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
537 rc_log (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
538 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
539 const double pi = 3.14159265358979323846;
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 18847
diff changeset
540 return x < 0.0 ? Complex (gnulib::log (-x), pi) : Complex (gnulib::log (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
541 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
542
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
543 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
544 rc_log (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
545 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
546 const float pi = 3.14159265358979323846f;
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 18847
diff changeset
547 return (x < 0.0f
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 18847
diff changeset
548 ? FloatComplex (gnulib::logf (-x), pi)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 18847
diff changeset
549 : FloatComplex (gnulib::logf (x)));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
550 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
551
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
552 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
553 rc_log2 (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
554 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
555 const double pil2 = 4.53236014182719380962; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
556 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
557 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
558
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
559 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
560 rc_log2 (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
561 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
562 const float pil2 = 4.53236014182719380962f; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
563 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
564 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
565
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
566 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
567 rc_log10 (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
568 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
569 const double pil10 = 1.36437635384184134748; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
570 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
571 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
572
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
573 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
574 rc_log10 (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
575 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
576 const float pil10 = 1.36437635384184134748f; // = pi / log(10)
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
577 return x < 0.0f ? FloatComplex (log10 (-x), pil10)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
578 : FloatComplex (log10f (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
579 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
580
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
581 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
582 rc_sqrt (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
583 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
584 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
585 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
586
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
587 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
588 rc_sqrt (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
589 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
590 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
591 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
592
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
593 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
594 xnegative_sign (double x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
595 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
596 return __lo_ieee_signbit (x);
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
597 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
598
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
599 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
600 xnegative_sign (float x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
601 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
602 return __lo_ieee_float_signbit (x);
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
603 }
11211
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
604
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
605 // Convert X to the nearest integer value. Should not pass NaN to
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
606 // this function.
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
607
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
608 // Sometimes you need a large integer, but not always.
2554b4a0806e use templates for some lo-mappers functions
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609
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610 octave_idx_type
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611 NINTbig (double x)
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612 {
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613 if (x > std::numeric_limits<octave_idx_type>::max ())
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614 return std::numeric_limits<octave_idx_type>::max ();
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615 else if (x < std::numeric_limits<octave_idx_type>::min ())
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616 return std::numeric_limits<octave_idx_type>::min ();
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617 else
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618 return static_cast<octave_idx_type> ((x > 0) ? (x + 0.5) : (x - 0.5));
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619 }
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620
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621 octave_idx_type
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622 NINTbig (float x)
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623 {
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624 if (x > std::numeric_limits<octave_idx_type>::max ())
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625 return std::numeric_limits<octave_idx_type>::max ();
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626 else if (x < std::numeric_limits<octave_idx_type>::min ())
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627 return std::numeric_limits<octave_idx_type>::min ();
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628 else
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629 return static_cast<octave_idx_type> ((x > 0) ? (x + 0.5) : (x - 0.5));
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630 }
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631
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632 int
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633 NINT (double x)
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634 {
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635 if (x > std::numeric_limits<int>::max ())
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636 return std::numeric_limits<int>::max ();
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637 else if (x < std::numeric_limits<int>::min ())
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638 return std::numeric_limits<int>::min ();
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639 else
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640 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
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641 }
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642
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643 int
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644 NINT (float x)
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645 {
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646 if (x > std::numeric_limits<int>::max ())
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647 return std::numeric_limits<int>::max ();
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648 else if (x < std::numeric_limits<int>::min ())
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649 return std::numeric_limits<int>::min ();
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650 else
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651 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
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652 }