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maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
parents 30414ff19d5e
children
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1 /*
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2
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3 Copyright (C) 1996-2012 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 #if defined (HAVE_LOG2)
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96 return log2 (x);
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97 #else
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98 #if defined (M_LN2)
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99 static double ln2 = M_LN2;
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100 #else
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101 static double ln2 = log (2);
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102 #endif
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103
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104 return log (x) / ln2;
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105 #endif
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106 }
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107
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108 Complex
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109 xlog2 (const Complex& x)
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110 {
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111 #if defined (M_LN2)
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112 static double ln2 = M_LN2;
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113 #else
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114 static double ln2 = log (2);
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115 #endif
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116
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117 return std::log (x) / ln2;
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118 }
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119
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120 double
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121 xexp2 (double x)
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122 {
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123 #if defined (HAVE_EXP2)
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124 return exp2 (x);
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125 #else
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126 #if defined (M_LN2)
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127 static double ln2 = M_LN2;
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128 #else
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129 static double ln2 = log (2);
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130 #endif
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131
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132 return exp (x * ln2);
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133 #endif
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134 }
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135
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136 double
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137 xlog2 (double x, int& exp)
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138 {
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139 return frexp (x, &exp);
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140 }
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141
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142 Complex
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143 xlog2 (const Complex& x, int& exp)
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144 {
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145 double ax = std::abs (x);
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146 double lax = xlog2 (ax, exp);
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147 return (ax != lax) ? (x / ax) * lax : x;
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148 }
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149
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150 // double -> bool mappers.
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151
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152 #if ! defined(HAVE_CMATH_ISNAN)
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153 bool
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154 xisnan (double x)
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155 {
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156 return lo_ieee_isnan (x);
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157 }
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158 #endif
1967
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159
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160 #if ! defined(HAVE_CMATH_ISFINITE)
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161 bool
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162 xfinite (double x)
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163 {
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164 return lo_ieee_finite (x);
1967
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165 }
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166 #endif
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167
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168 #if ! defined(HAVE_CMATH_ISINF)
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169 bool
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170 xisinf (double x)
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171 {
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172 return lo_ieee_isinf (x);
1967
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173 }
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174 #endif
1967
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175
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176 bool
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177 octave_is_NA (double x)
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178 {
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179 return lo_ieee_is_NA (x);
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180 }
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181
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182 bool
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183 octave_is_NaN_or_NA (double x)
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184 {
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185 return lo_ieee_isnan (x);
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186 }
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187
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188 // (double, double) -> double mappers.
1967
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189
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190 // complex -> complex mappers.
1967
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191
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192 Complex
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193 acos (const Complex& x)
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194 {
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195 static Complex i (0, 1);
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196
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197 return -i * (log (x + i * (sqrt (1.0 - x*x))));
1967
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198 }
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199
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200 Complex
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201 acosh (const Complex& x)
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202 {
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203 return log (x + sqrt (x*x - 1.0));
1967
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204 }
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205
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206 Complex
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207 asin (const Complex& x)
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208 {
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209 static Complex i (0, 1);
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210
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211 return -i * log (i*x + sqrt (1.0 - x*x));
1967
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212 }
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213
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214 Complex
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215 asinh (const Complex& x)
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216 {
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217 return log (x + sqrt (x*x + 1.0));
1967
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218 }
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219
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220 Complex
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diff changeset
221 atan (const Complex& x)
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diff changeset
222 {
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223 static Complex i (0, 1);
3056
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diff changeset
224
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diff changeset
225 return i * log ((i + x) / (i - x)) / 2.0;
1967
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226 }
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diff changeset
227
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diff changeset
228 Complex
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diff changeset
229 atanh (const Complex& x)
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diff changeset
230 {
3092
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parents: 3069
diff changeset
231 return log ((1.0 + x) / (1.0 - x)) / 2.0;
1967
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232 }
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233
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234 // complex -> bool mappers.
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235
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diff changeset
236 bool
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237 octave_is_NA (const Complex& x)
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diff changeset
238 {
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diff changeset
239 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
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240 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
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diff changeset
241
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diff changeset
242 bool
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diff changeset
243 octave_is_NaN_or_NA (const Complex& x)
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diff changeset
244 {
5389
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245 return (xisnan (real (x)) || xisnan (imag (x)));
4025
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diff changeset
246 }
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diff changeset
247
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248 // (complex, complex) -> complex mappers.
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diff changeset
249
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250 // FIXME -- need to handle NA too?
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251
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252 Complex
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diff changeset
253 xmin (const Complex& x, const Complex& y)
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diff changeset
254 {
3757
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diff changeset
255 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
3248
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diff changeset
256 }
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diff changeset
257
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diff changeset
258 Complex
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diff changeset
259 xmax (const Complex& x, const Complex& y)
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diff changeset
260 {
3757
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diff changeset
261 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
3248
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diff changeset
262 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
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diff changeset
263
7789
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diff changeset
264
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265 // float -> float mappers.
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diff changeset
266
11237
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
267 // 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
268 // lo-mappers.h.
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
269
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
270 float
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parents: 11212
diff changeset
271 xtrunc (float x)
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parents: 11212
diff changeset
272 {
110e570e5f8d keep gnulib out of lo-mappers.h
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diff changeset
273 return gnulib::truncf (x);
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parents: 11212
diff changeset
274 }
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
275
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
276 float
13737
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
277 xcopysign (float x, float y)
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
278 {
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
279 return gnulib::copysignf (x, y);
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
280 }
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
281
30414ff19d5e Use copysignf module from gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents: 11586
diff changeset
282 float
11237
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parents: 11212
diff changeset
283 xround (float 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 return gnulib::round (x);
110e570e5f8d keep gnulib out of lo-mappers.h
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parents: 11212
diff changeset
286 }
110e570e5f8d keep gnulib out of lo-mappers.h
John W. Eaton <jwe@octave.org>
parents: 11212
diff changeset
287
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11525
diff changeset
288 float
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diff changeset
289 xroundb (float x)
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290 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
291 float t = xround (x);
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diff changeset
292
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
293 if (fabsf (x - t) == 0.5)
7789
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294 t = 2 * xtrunc (0.5 * t);
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295
82be108cc558 First attempt at single precision tyeps
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296 return t;
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diff changeset
297 }
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298
82be108cc558 First attempt at single precision tyeps
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diff changeset
299 float
82be108cc558 First attempt at single precision tyeps
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diff changeset
300 signum (float x)
82be108cc558 First attempt at single precision tyeps
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diff changeset
301 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
302 float tmp = 0.0;
82be108cc558 First attempt at single precision tyeps
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diff changeset
303
82be108cc558 First attempt at single precision tyeps
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diff changeset
304 if (x < 0.0)
82be108cc558 First attempt at single precision tyeps
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305 tmp = -1.0;
82be108cc558 First attempt at single precision tyeps
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diff changeset
306 else if (x > 0.0)
82be108cc558 First attempt at single precision tyeps
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diff changeset
307 tmp = 1.0;
82be108cc558 First attempt at single precision tyeps
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diff changeset
308
82be108cc558 First attempt at single precision tyeps
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309 return xisnan (x) ? octave_Float_NaN : tmp;
82be108cc558 First attempt at single precision tyeps
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diff changeset
310 }
82be108cc558 First attempt at single precision tyeps
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311
82be108cc558 First attempt at single precision tyeps
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diff changeset
312 float
82be108cc558 First attempt at single precision tyeps
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diff changeset
313 xlog2 (float x)
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diff changeset
314 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff changeset
315 #if defined (HAVE_LOG2)
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316 return log2 (x);
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317 #else
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318 #if defined (M_LN2)
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319 static float ln2 = M_LN2;
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320 #else
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321 static float ln2 = log2 (2);
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322 #endif
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323
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324 return log (x) / ln2;
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325 #endif
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326 }
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327
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328 FloatComplex
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329 xlog2 (const FloatComplex& x)
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330 {
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331 #if defined (M_LN2)
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332 static float ln2 = M_LN2;
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333 #else
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334 static float ln2 = log (2);
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335 #endif
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336
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337 return std::log (x) / ln2;
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338 }
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339
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340 float
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341 xexp2 (float x)
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342 {
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343 #if defined (HAVE_EXP2)
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344 return exp2 (x);
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345 #else
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346 #if defined (M_LN2)
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347 static float ln2 = M_LN2;
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348 #else
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349 static float ln2 = log2 (2);
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350 #endif
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351
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352 return exp (x * ln2);
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353 #endif
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354 }
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355
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356 float
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357 xlog2 (float x, int& exp)
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358 {
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359 return frexpf (x, &exp);
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360 }
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361
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362 FloatComplex
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363 xlog2 (const FloatComplex& x, int& exp)
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364 {
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365 float ax = std::abs (x);
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366 float lax = xlog2 (ax, exp);
9319
0d9178575dd7 fix log2 with 2 outargs, loosen tests to meet IEEE
Jaroslav Hajek <highegg@gmail.com>
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367 return (ax != lax) ? (x / ax) * lax : x;
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368 }
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369
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370 // float -> bool mappers.
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371
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
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372 #if ! defined(HAVE_CMATH_ISNANF)
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373 bool
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374 xisnan (float x)
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375 {
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376 return lo_ieee_isnan (x);
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377 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
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378 #endif
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379
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380 #if ! defined(HAVE_CMATH_ISFINITEF)
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381 bool
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382 xfinite (float x)
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383 {
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384 return lo_ieee_finite (x);
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385 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
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386 #endif
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387
8998
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388 #if ! defined(HAVE_CMATH_ISINFF)
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389 bool
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390 xisinf (float x)
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391 {
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392 return lo_ieee_isinf (x);
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393 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
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394 #endif
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395
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396 bool
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397 octave_is_NA (float x)
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398 {
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399 return lo_ieee_is_NA (x);
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400 }
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401
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402 bool
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403 octave_is_NaN_or_NA (float x)
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404 {
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405 return lo_ieee_isnan (x);
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406 }
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407
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408 // (float, float) -> float mappers.
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409
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410 // complex -> complex mappers.
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411
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412 FloatComplex
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413 acos (const FloatComplex& x)
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414 {
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415 static FloatComplex i (0, 1);
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diff changeset
416
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417 return -i * (log (x + i * (sqrt (static_cast<float>(1.0) - x*x))));
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418 }
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419
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420 FloatComplex
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421 acosh (const FloatComplex& x)
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422 {
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423 return log (x + sqrt (x*x - static_cast<float>(1.0)));
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424 }
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425
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426 FloatComplex
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427 asin (const FloatComplex& x)
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428 {
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429 static FloatComplex i (0, 1);
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diff changeset
430
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431 return -i * log (i*x + sqrt (static_cast<float>(1.0) - x*x));
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432 }
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433
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434 FloatComplex
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diff changeset
435 asinh (const FloatComplex& x)
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diff changeset
436 {
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437 return log (x + sqrt (x*x + static_cast<float>(1.0)));
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438 }
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diff changeset
439
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440 FloatComplex
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diff changeset
441 atan (const FloatComplex& x)
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442 {
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443 static FloatComplex i (0, 1);
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444
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445 return i * log ((i + x) / (i - x)) / static_cast<float>(2.0);
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446 }
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diff changeset
447
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diff changeset
448 FloatComplex
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diff changeset
449 atanh (const FloatComplex& x)
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diff changeset
450 {
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451 return log ((static_cast<float>(1.0) + x) / (static_cast<float>(1.0) - x)) / static_cast<float>(2.0);
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diff changeset
452 }
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diff changeset
453
82be108cc558 First attempt at single precision tyeps
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diff changeset
454 // complex -> bool mappers.
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diff changeset
455
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diff changeset
456 bool
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diff changeset
457 octave_is_NA (const FloatComplex& x)
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parents: 7740
diff changeset
458 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
459 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
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parents: 7740
diff changeset
460 }
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parents: 7740
diff changeset
461
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diff changeset
462 bool
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diff changeset
463 octave_is_NaN_or_NA (const FloatComplex& x)
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parents: 7740
diff changeset
464 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
465 return (xisnan (real (x)) || xisnan (imag (x)));
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diff changeset
466 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
467
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diff changeset
468 // (complex, complex) -> complex mappers.
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parents: 7740
diff changeset
469
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diff changeset
470 // FIXME -- need to handle NA too?
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diff changeset
471
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diff changeset
472 FloatComplex
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diff changeset
473 xmin (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
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diff changeset
474 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
475 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
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diff changeset
476 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
477
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parents: 7740
diff changeset
478 FloatComplex
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parents: 7740
diff changeset
479 xmax (const FloatComplex& x, const FloatComplex& y)
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parents: 7740
diff changeset
480 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
481 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
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diff changeset
482 }
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
483
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
484 Complex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
485 rc_acos (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
486 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
487 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
488 }
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 FloatComplex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
491 rc_acos (float x)
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 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
494 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
495
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
496 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
497 rc_acosh (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
498 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
499 return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
500 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
501
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
502 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
503 rc_acosh (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
504 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
505 return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acoshf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
506 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
507
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
508 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
509 rc_asin (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
510 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
511 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
512 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
513
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
514 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
515 rc_asin (float x)
9812
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 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
518 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
519
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
520 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
521 rc_atanh (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
522 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
523 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
524 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
525
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
526 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
527 rc_atanh (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
528 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
529 return fabsf (x) > 1.0f ? atanh (FloatComplex (x)) : FloatComplex (atanhf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
530 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
531
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
532 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
533 rc_log (double 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 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
536 return x < 0.0 ? Complex (log (-x), pi) : Complex (log (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
537 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
538
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
539 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
540 rc_log (float 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 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
543 return x < 0.0f ? FloatComplex (logf (-x), pi) : FloatComplex (logf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
544 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
545
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
546 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
547 rc_log2 (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
548 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
549 const double pil2 = 4.53236014182719380962; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
550 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
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_log2 (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
555 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
556 const float pil2 = 4.53236014182719380962f; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
557 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
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_log10 (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 pil10 = 1.36437635384184134748; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
564 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
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_log10 (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 pil10 = 1.36437635384184134748f; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
571 return x < 0.0f ? FloatComplex (log10 (-x), pil10) : FloatComplex (log10f (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
572 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
573
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
574 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
575 rc_sqrt (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
576 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
577 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
578 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
579
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
580 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
581 rc_sqrt (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
582 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
583 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
584 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
585
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
586 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
587 xnegative_sign (double x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
588 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
589 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
590 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
591
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
592 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
593 xnegative_sign (float x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
594 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
595 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
596 }
11211
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
597
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
598 // 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
599 // this function.
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
600
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
601 // 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
602
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
603 octave_idx_type
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
604 NINTbig (double x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
605 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
606 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
607 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
608 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
609 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
610 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
611 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
612 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
613
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
614 octave_idx_type
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
615 NINTbig (float x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
616 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
617 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
618 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
619 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
620 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
621 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
622 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
623 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
624
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
625 int
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
626 NINT (double x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
627 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
628 if (x > std::numeric_limits<int>::max ())
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629 return std::numeric_limits<int>::max ();
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parents: 11209
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630 else if (x < std::numeric_limits<int>::min ())
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631 return std::numeric_limits<int>::min ();
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632 else
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parents: 11209
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633 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
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634 }
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635
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parents: 11209
diff changeset
636 int
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637 NINT (float x)
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638 {
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639 if (x > std::numeric_limits<int>::max ())
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640 return std::numeric_limits<int>::max ();
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641 else if (x < std::numeric_limits<int>::min ())
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parents: 11209
diff changeset
642 return std::numeric_limits<int>::min ();
2554b4a0806e use templates for some lo-mappers functions
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643 else
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644 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
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parents: 11209
diff changeset
645 }