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annotate liboctave/numeric/lo-mappers.cc @ 20830:b65888ec820e draft default tip gccjit

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dmalcom gcc jit import
author Stefan Mahr <dac922@gmx.de>
date Fri, 27 Feb 2015 16:59:36 +0100
parents 3fa35defe495
children
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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 #if ! defined(HAVE_CMATH_ISNAN)
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143 bool
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144 xisnan (double x)
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145 {
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146 return lo_ieee_isnan (x);
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147 }
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148 #endif
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149
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150 #if ! defined(HAVE_CMATH_ISFINITE)
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151 bool
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152 xfinite (double x)
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153 {
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154 return lo_ieee_finite (x);
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155 }
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156 #endif
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157
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158 #if ! defined(HAVE_CMATH_ISINF)
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159 bool
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160 xisinf (double x)
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161 {
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162 return lo_ieee_isinf (x);
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163 }
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164 #endif
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165
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166 bool
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167 octave_is_NA (double x)
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168 {
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169 return lo_ieee_is_NA (x);
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170 }
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171
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172 // (double, double) -> double mappers.
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173
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174 // complex -> complex mappers.
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175
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176 Complex
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177 acos (const Complex& x)
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178 {
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179 static Complex i (0, 1);
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180
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181 Complex tmp;
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182
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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183 if (imag (x) == 0.0)
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184 {
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185 // If the imaginary part of X is 0, then avoid generating an
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186 // imaginary part of -0 for the expression 1-x*x.
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187 // This effectively chooses the same phase of the branch cut as Matlab.
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188 double xr = real (x);
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189 tmp = Complex (1.0 - xr*xr);
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190 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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parents: 19118
diff changeset
191 else
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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192 tmp = 1.0 - x*x;
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193
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194 return -i * log (x + i * sqrt (tmp));
1967
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195 }
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196
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197 Complex
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198 acosh (const Complex& x)
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199 {
19935
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200 return log (x + sqrt (x + 1.0) * sqrt (x - 1.0));
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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diff changeset
208 Complex tmp;
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parents: 19118
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209
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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parents: 19118
diff changeset
210 if (imag (x) == 0.0)
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diff changeset
211 {
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parents: 19118
diff changeset
212 // If the imaginary part of X is 0, then avoid generating an
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parents: 19118
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213 // imaginary part of -0 for the expression 1-x*x.
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parents: 19118
diff changeset
214 // This effectively chooses the same phase of the branch cut as Matlab.
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parents: 19118
diff changeset
215 double xr = real (x);
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diff changeset
216 tmp = Complex (1.0 - xr*xr);
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parents: 19118
diff changeset
217 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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parents: 19118
diff changeset
218 else
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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parents: 19118
diff changeset
219 tmp = 1.0 - x*x;
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parents: 19118
diff changeset
220
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
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parents: 19118
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 asinh (const Complex& x)
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226 {
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227 return log (x + sqrt (x*x + 1.0));
1967
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228 }
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229
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230 Complex
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231 atan (const Complex& x)
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232 {
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233 static Complex i (0, 1);
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234
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diff changeset
235 return i * log ((i + x) / (i - x)) / 2.0;
1967
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236 }
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237
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238 Complex
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diff changeset
239 atanh (const Complex& x)
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diff changeset
240 {
3092
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diff changeset
241 return log ((1.0 + x) / (1.0 - x)) / 2.0;
1967
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242 }
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243
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244 // complex -> bool mappers.
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245
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246 bool
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247 octave_is_NA (const Complex& x)
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diff changeset
248 {
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249 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
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250 }
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diff changeset
251
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diff changeset
252 bool
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
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diff changeset
253 octave_is_NaN_or_NA (const Complex& x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
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parents: 3873
diff changeset
254 {
5389
25c8956d2204 [project @ 2005-06-15 03:45:46 by jwe]
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diff changeset
255 return (xisnan (real (x)) || xisnan (imag (x)));
4025
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diff changeset
256 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
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diff changeset
257
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diff changeset
258 // (complex, complex) -> complex mappers.
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diff changeset
259
17769
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parents: 17744
diff changeset
260 // FIXME: need to handle NA too?
4025
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261
3248
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diff changeset
262 Complex
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jwe
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diff changeset
263 xmin (const Complex& x, const Complex& y)
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jwe
parents: 3206
diff changeset
264 {
3757
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diff changeset
265 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
3248
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diff changeset
266 }
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parents: 3206
diff changeset
267
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diff changeset
268 Complex
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diff changeset
269 xmax (const Complex& x, const Complex& y)
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diff changeset
270 {
3757
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diff changeset
271 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
3248
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272 }
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diff changeset
273
7789
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parents: 7740
diff changeset
274
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
275 // float -> float mappers.
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
276
11237
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
277 // 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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parents: 11212
diff changeset
278 // lo-mappers.h.
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parents: 11212
diff changeset
279
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
280 float
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
281 xtrunc (float x)
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
282 {
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
283 return gnulib::truncf (x);
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
284 }
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
285
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
286 float
13737
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
287 xcopysign (float x, float y)
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
288 {
30414ff19d5e Use copysignf module from gnulib.
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parents: 11586
diff changeset
289 return gnulib::copysignf (x, y);
30414ff19d5e Use copysignf module from gnulib.
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parents: 11586
diff changeset
290 }
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
291
15409
c898dbe14e1d build: Update imported module list from gnulib.
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parents: 15271
diff changeset
292 float xfloor (float x)
c898dbe14e1d build: Update imported module list from gnulib.
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parents: 15271
diff changeset
293 {
c898dbe14e1d build: Update imported module list from gnulib.
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parents: 15271
diff changeset
294 return gnulib::floorf (x);
c898dbe14e1d build: Update imported module list from gnulib.
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diff changeset
295 }
c898dbe14e1d build: Update imported module list from gnulib.
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parents: 15271
diff changeset
296
13737
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
297 float
11237
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
298 xround (float x)
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parents: 11212
diff changeset
299 {
15409
c898dbe14e1d build: Update imported module list from gnulib.
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diff changeset
300 return gnulib::roundf (x);
11237
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
301 }
110e570e5f8d keep gnulib out of lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 11212
diff changeset
302
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11525
diff changeset
303 float
7789
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
304 xroundb (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
305 {
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306 float t = xround (x);
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diff changeset
307
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
308 if (fabsf (x - t) == 0.5)
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309 t = 2 * xtrunc (0.5 * t);
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310
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311 return t;
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diff changeset
312 }
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diff changeset
313
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diff changeset
314 float
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diff changeset
315 signum (float x)
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diff changeset
316 {
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diff changeset
317 float tmp = 0.0;
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diff changeset
318
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diff changeset
319 if (x < 0.0)
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diff changeset
320 tmp = -1.0;
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diff changeset
321 else if (x > 0.0)
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diff changeset
322 tmp = 1.0;
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323
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diff changeset
324 return xisnan (x) ? octave_Float_NaN : tmp;
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diff changeset
325 }
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parents: 7740
diff changeset
326
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diff changeset
327 float
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diff changeset
328 xlog2 (float x)
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diff changeset
329 {
19037
ff4da3c8ed16 use gnulib log2 modules (bug #42583)
John W. Eaton <jwe@octave.org>
parents: 17843
diff changeset
330 return gnulib::log2f (x);
7789
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331 }
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332
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parents: 7740
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333 FloatComplex
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parents: 7740
diff changeset
334 xlog2 (const FloatComplex& x)
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parents: 7740
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335 {
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diff changeset
336 #if defined (M_LN2)
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337 static float ln2 = M_LN2;
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338 #else
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339 static float ln2 = log (2);
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340 #endif
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341
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342 return std::log (x) / ln2;
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343 }
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344
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345 float
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346 xexp2 (float x)
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parents: 7740
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347 {
15452
4d960b078272 build: Remove unnecessary AC_CHECK_FUNCS calls.
Rik <rik@octave.org>
parents: 15409
diff changeset
348 #if defined (HAVE_EXP2F)
4d960b078272 build: Remove unnecessary AC_CHECK_FUNCS calls.
Rik <rik@octave.org>
parents: 15409
diff changeset
349 return exp2f (x);
4d960b078272 build: Remove unnecessary AC_CHECK_FUNCS calls.
Rik <rik@octave.org>
parents: 15409
diff changeset
350 #elif defined (HAVE_EXP2)
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351 return exp2 (x);
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diff changeset
352 #else
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diff changeset
353 #if defined (M_LN2)
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354 static float ln2 = M_LN2;
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355 #else
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356 static float ln2 = log2 (2);
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357 #endif
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358
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diff changeset
359 return exp (x * ln2);
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parents: 7740
diff changeset
360 #endif
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diff changeset
361 }
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parents: 7740
diff changeset
362
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parents: 7740
diff changeset
363 float
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parents: 7740
diff changeset
364 xlog2 (float x, int& exp)
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parents: 7740
diff changeset
365 {
17843
573f865aa8c8 use gnulib frexp module
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
366 return gnulib::frexpf (x, &exp);
7789
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diff changeset
367 }
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parents: 7740
diff changeset
368
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parents: 7740
diff changeset
369 FloatComplex
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parents: 7740
diff changeset
370 xlog2 (const FloatComplex& x, int& exp)
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parents: 7740
diff changeset
371 {
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372 float ax = std::abs (x);
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373 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
374 return (ax != lax) ? (x / ax) * lax : x;
7789
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375 }
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diff changeset
376
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parents: 7740
diff changeset
377 // float -> bool mappers.
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diff changeset
378
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
379 #if ! defined(HAVE_CMATH_ISNANF)
7789
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diff changeset
380 bool
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381 xisnan (float x)
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diff changeset
382 {
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diff changeset
383 return lo_ieee_isnan (x);
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diff changeset
384 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
385 #endif
7789
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diff changeset
386
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
387 #if ! defined(HAVE_CMATH_ISFINITEF)
7789
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diff changeset
388 bool
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diff changeset
389 xfinite (float x)
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parents: 7740
diff changeset
390 {
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diff changeset
391 return lo_ieee_finite (x);
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parents: 7740
diff changeset
392 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
393 #endif
7789
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diff changeset
394
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
395 #if ! defined(HAVE_CMATH_ISINFF)
7789
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diff changeset
396 bool
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diff changeset
397 xisinf (float x)
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parents: 7740
diff changeset
398 {
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diff changeset
399 return lo_ieee_isinf (x);
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parents: 7740
diff changeset
400 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
401 #endif
7789
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diff changeset
402
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
403 bool
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parents: 7740
diff changeset
404 octave_is_NA (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
405 {
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
406 return lo_ieee_is_NA (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
407 }
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 // (float, float) -> float mappers.
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parents: 7740
diff changeset
410
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
411 // complex -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
412
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
413 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
414 acos (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
415 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
416 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
417
19434
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
418 FloatComplex tmp;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
419
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
420 if (imag (x) == 0.0f)
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
421 {
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
422 // 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: 19118
diff changeset
423 // 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: 19118
diff changeset
424 // 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: 19118
diff changeset
425 float xr = real (x);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
426 tmp = FloatComplex (1.0f - xr*xr);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
427 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
428 else
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
429 tmp = 1.0f - x*x;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
430
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
431 return -i * log (x + i * sqrt (tmp));
7789
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diff changeset
432 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
433
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
434 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
435 acosh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
436 {
19935
554aaaf99644 Fix return phase of acosh to match Matlab (bug #44286).
Rik <rik@octave.org>
parents: 19898
diff changeset
437 return log (x + sqrt (x + 1.0f) * sqrt (x - 1.0f));
7789
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
438 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
439
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
440 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
441 asin (const FloatComplex& x)
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 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
444
19434
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
445 FloatComplex tmp;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
446
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
447 if (imag (x) == 0.0f)
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
448 {
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
449 // 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: 19118
diff changeset
450 // 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: 19118
diff changeset
451 // 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: 19118
diff changeset
452 float xr = real (x);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
453 tmp = FloatComplex (1.0f - xr*xr);
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
454 }
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
455 else
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
456 tmp = 1.0f - x*x;
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
457
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
parents: 19118
diff changeset
458 return -i * log (i*x + sqrt (tmp));
7789
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David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
459 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
460
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
461 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
462 asinh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
463 {
19943
9155bab86647 use 0.0f style constants instead of static_cast<float> (0.0)
John W. Eaton <jwe@octave.org>
parents: 19935
diff changeset
464 return log (x + sqrt (x*x + 1.0f));
7789
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 atan (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 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
471
19943
9155bab86647 use 0.0f style constants instead of static_cast<float> (0.0)
John W. Eaton <jwe@octave.org>
parents: 19935
diff changeset
472 return i * log ((i + x) / (i - x)) / 2.0f;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
473 }
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 atanh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
477 {
19944
3fa35defe495 Adjust spacing of static_cast<> calls to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19943
diff changeset
478 return log ((1.0f + x) / (1.0f - x)) / 2.0f;
7789
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 // complex -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
482
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
483 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
484 octave_is_NA (const FloatComplex& x)
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 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
487 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
488
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
489 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
490 octave_is_NaN_or_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
491 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
492 return (xisnan (real (x)) || xisnan (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
493 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
494
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
495 // (complex, complex) -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
496
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
497 // FIXME: need to handle NA too?
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
498
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
499 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
500 xmin (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
501 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
502 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
503 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
504
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
505 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
506 xmax (const FloatComplex& x, const FloatComplex& y)
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 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
509 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
510
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
511 Complex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
512 rc_acos (double x)
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 ? acos (Complex (x)) : Complex (acos (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
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
517 FloatComplex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
518 rc_acos (float x)
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 ? acos (FloatComplex (x)) : FloatComplex (acosf (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_acosh (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
525 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
526 return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
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_acosh (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
531 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
532 return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acoshf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
533 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
534
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
535 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
536 rc_asin (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
537 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
538 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
539 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
540
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
541 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
542 rc_asin (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
543 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
544 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
545 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
546
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
547 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
548 rc_atanh (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
549 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
550 return fabs (x) > 1.0 ? atanh (Complex (x)) : Complex (atanh (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
551 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
552
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
553 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
554 rc_atanh (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
555 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
556 return fabsf (x) > 1.0f ? atanh (FloatComplex (x))
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
557 : FloatComplex (atanhf (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
558 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
559
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
560 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
561 rc_log (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
562 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
563 const double pi = 3.14159265358979323846;
19570
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19037
diff changeset
564 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
565 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
566
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
567 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
568 rc_log (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
569 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
570 const float pi = 3.14159265358979323846f;
19570
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19037
diff changeset
571 return (x < 0.0f
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19037
diff changeset
572 ? FloatComplex (gnulib::logf (-x), pi)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19037
diff changeset
573 : FloatComplex (gnulib::logf (x)));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
574 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
575
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
576 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
577 rc_log2 (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
578 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
579 const double pil2 = 4.53236014182719380962; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
580 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
581 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
582
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
583 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
584 rc_log2 (float x)
9812
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 const float pil2 = 4.53236014182719380962f; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
587 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
588 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
589
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
590 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
591 rc_log10 (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
592 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
593 const double pil10 = 1.36437635384184134748; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
594 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
595 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
596
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
597 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
598 rc_log10 (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
599 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
600 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
601 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
602 : FloatComplex (log10f (x));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
603 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
604
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
605 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
606 rc_sqrt (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
607 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
608 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
609 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
610
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
611 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
612 rc_sqrt (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
613 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
614 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
615 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
616
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
617 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
618 xnegative_sign (double x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
619 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
620 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
621 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
622
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
623 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
624 xnegative_sign (float x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
625 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
626 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
627 }
11211
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
628
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
629 // 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
630 // this function.
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
631
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
632 // Sometimes you need a large integer, but not always.
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
633
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
634 octave_idx_type
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
635 NINTbig (double x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
636 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
637 if (x > std::numeric_limits<octave_idx_type>::max ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
638 return std::numeric_limits<octave_idx_type>::max ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
639 else if (x < std::numeric_limits<octave_idx_type>::min ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
640 return std::numeric_limits<octave_idx_type>::min ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
641 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
642 return static_cast<octave_idx_type> ((x > 0) ? (x + 0.5) : (x - 0.5));
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
643 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
644
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
645 octave_idx_type
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
646 NINTbig (float x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
647 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
648 if (x > std::numeric_limits<octave_idx_type>::max ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
649 return std::numeric_limits<octave_idx_type>::max ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
650 else if (x < std::numeric_limits<octave_idx_type>::min ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
651 return std::numeric_limits<octave_idx_type>::min ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
652 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
653 return static_cast<octave_idx_type> ((x > 0) ? (x + 0.5) : (x - 0.5));
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
654 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
655
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
656 int
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
657 NINT (double x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
658 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
659 if (x > std::numeric_limits<int>::max ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
660 return std::numeric_limits<int>::max ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
661 else if (x < std::numeric_limits<int>::min ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
662 return std::numeric_limits<int>::min ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
663 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
664 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
665 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
666
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
667 int
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
668 NINT (float x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
669 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
670 if (x > std::numeric_limits<int>::max ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
671 return std::numeric_limits<int>::max ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
672 else if (x < std::numeric_limits<int>::min ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
673 return std::numeric_limits<int>::min ();
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
674 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
675 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
676 }