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annotate liboctave/numeric/lo-mappers.cc @ 16660:cbb1bb7a5c3d

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Added tag ss-3-7-5 for changeset 608e307b4914
author John W. Eaton <jwe@octave.org>
date Tue, 14 May 2013 05:23:53 -0400
parents 4d960b078272
children d63878346099
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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
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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);
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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);
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173 }
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174 #endif
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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.
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189
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190 // complex -> complex mappers.
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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))));
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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));
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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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221 atan (const Complex& x)
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222 {
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223 static Complex i (0, 1);
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224
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225 return i * log ((i + x) / (i - x)) / 2.0;
1967
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226 }
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227
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228 Complex
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229 atanh (const Complex& x)
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230 {
3092
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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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236 bool
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237 octave_is_NA (const Complex& x)
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238 {
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239 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
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240 }
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241
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242 bool
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243 octave_is_NaN_or_NA (const Complex& x)
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244 {
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245 return (xisnan (real (x)) || xisnan (imag (x)));
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246 }
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247
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248 // (complex, complex) -> complex mappers.
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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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253 xmin (const Complex& x, const Complex& y)
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254 {
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255 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
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256 }
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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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260 {
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261 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
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262 }
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263
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264
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265 // float -> float mappers.
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266
11237
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267 // Both xtrunc and xround belong here so we can keep gnulib:: out of
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268 // lo-mappers.h.
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269
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270 float
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271 xtrunc (float x)
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272 {
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273 return gnulib::truncf (x);
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274 }
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275
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276 float
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277 xcopysign (float x, float y)
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278 {
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279 return gnulib::copysignf (x, y);
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280 }
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281
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282 float xfloor (float x)
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283 {
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284 return gnulib::floorf (x);
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285 }
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286
13737
30414ff19d5e Use copysignf module from gnulib.
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287 float
11237
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288 xround (float x)
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diff changeset
289 {
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290 return gnulib::roundf (x);
11237
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291 }
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292
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293 float
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294 xroundb (float x)
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295 {
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296 float t = xround (x);
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297
11212
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298 if (fabsf (x - t) == 0.5)
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299 t = 2 * xtrunc (0.5 * t);
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300
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301 return t;
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302 }
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303
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304 float
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305 signum (float x)
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306 {
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307 float tmp = 0.0;
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308
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diff changeset
309 if (x < 0.0)
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310 tmp = -1.0;
82be108cc558 First attempt at single precision tyeps
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311 else if (x > 0.0)
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312 tmp = 1.0;
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313
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314 return xisnan (x) ? octave_Float_NaN : tmp;
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315 }
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316
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317 float
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318 xlog2 (float x)
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319 {
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320 #if defined (HAVE_LOG2F)
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321 return log2f (x);
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322 #elif defined (HAVE_LOG2)
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323 return log2 (x);
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324 #else
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325 #if defined (M_LN2)
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326 static float ln2 = M_LN2;
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327 #else
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328 static float ln2 = log2 (2);
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329 #endif
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330
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331 return log (x) / ln2;
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332 #endif
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333 }
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334
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335 FloatComplex
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336 xlog2 (const FloatComplex& x)
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337 {
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338 #if defined (M_LN2)
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339 static float ln2 = M_LN2;
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340 #else
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341 static float ln2 = log (2);
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342 #endif
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343
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344 return std::log (x) / ln2;
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345 }
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346
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347 float
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348 xexp2 (float x)
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349 {
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350 #if defined (HAVE_EXP2F)
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351 return exp2f (x);
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352 #elif defined (HAVE_EXP2)
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353 return exp2 (x);
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354 #else
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355 #if defined (M_LN2)
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356 static float ln2 = M_LN2;
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357 #else
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358 static float ln2 = log2 (2);
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359 #endif
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360
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361 return exp (x * ln2);
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362 #endif
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363 }
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364
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365 float
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366 xlog2 (float x, int& exp)
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367 {
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368 return frexpf (x, &exp);
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369 }
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370
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371 FloatComplex
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372 xlog2 (const FloatComplex& x, int& exp)
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373 {
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374 float ax = std::abs (x);
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375 float lax = xlog2 (ax, exp);
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0d9178575dd7 fix log2 with 2 outargs, loosen tests to meet IEEE
Jaroslav Hajek <highegg@gmail.com>
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376 return (ax != lax) ? (x / ax) * lax : x;
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377 }
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378
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379 // float -> bool mappers.
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380
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
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381 #if ! defined(HAVE_CMATH_ISNANF)
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382 bool
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383 xisnan (float x)
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384 {
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385 return lo_ieee_isnan (x);
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386 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
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387 #endif
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388
8998
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389 #if ! defined(HAVE_CMATH_ISFINITEF)
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390 bool
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391 xfinite (float x)
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392 {
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393 return lo_ieee_finite (x);
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394 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
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395 #endif
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396
8998
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397 #if ! defined(HAVE_CMATH_ISINFF)
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398 bool
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399 xisinf (float x)
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400 {
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401 return lo_ieee_isinf (x);
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402 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
403 #endif
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404
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405 bool
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406 octave_is_NA (float x)
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diff changeset
407 {
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408 return lo_ieee_is_NA (x);
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409 }
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diff changeset
410
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411 bool
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diff changeset
412 octave_is_NaN_or_NA (float x)
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diff changeset
413 {
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414 return lo_ieee_isnan (x);
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415 }
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416
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417 // (float, float) -> float mappers.
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diff changeset
418
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419 // complex -> complex mappers.
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420
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421 FloatComplex
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422 acos (const FloatComplex& x)
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diff changeset
423 {
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424 static FloatComplex i (0, 1);
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diff changeset
425
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426 return -i * (log (x + i * (sqrt (static_cast<float>(1.0) - x*x))));
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parents: 7740
diff changeset
427 }
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parents: 7740
diff changeset
428
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diff changeset
429 FloatComplex
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parents: 7740
diff changeset
430 acosh (const FloatComplex& x)
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parents: 7740
diff changeset
431 {
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432 return log (x + sqrt (x*x - static_cast<float>(1.0)));
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433 }
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434
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diff changeset
435 FloatComplex
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parents: 7740
diff changeset
436 asin (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
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diff changeset
437 {
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diff changeset
438 static FloatComplex i (0, 1);
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diff changeset
439
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diff changeset
440 return -i * log (i*x + sqrt (static_cast<float>(1.0) - x*x));
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diff changeset
441 }
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diff changeset
442
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diff changeset
443 FloatComplex
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diff changeset
444 asinh (const FloatComplex& x)
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diff changeset
445 {
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446 return log (x + sqrt (x*x + static_cast<float>(1.0)));
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diff changeset
447 }
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diff changeset
448
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diff changeset
449 FloatComplex
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parents: 7740
diff changeset
450 atan (const FloatComplex& x)
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diff changeset
451 {
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diff changeset
452 static FloatComplex i (0, 1);
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diff changeset
453
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454 return i * log ((i + x) / (i - x)) / static_cast<float>(2.0);
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parents: 7740
diff changeset
455 }
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parents: 7740
diff changeset
456
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diff changeset
457 FloatComplex
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parents: 7740
diff changeset
458 atanh (const FloatComplex& x)
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diff changeset
459 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
460 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
461 }
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diff changeset
462
82be108cc558 First attempt at single precision tyeps
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diff changeset
463 // complex -> bool mappers.
82be108cc558 First attempt at single precision tyeps
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diff changeset
464
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diff changeset
465 bool
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diff changeset
466 octave_is_NA (const FloatComplex& x)
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diff changeset
467 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
468 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
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parents: 7740
diff changeset
469 }
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parents: 7740
diff changeset
470
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parents: 7740
diff changeset
471 bool
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diff changeset
472 octave_is_NaN_or_NA (const FloatComplex& x)
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parents: 7740
diff changeset
473 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
474 return (xisnan (real (x)) || xisnan (imag (x)));
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
475 }
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parents: 7740
diff changeset
476
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
477 // (complex, complex) -> complex mappers.
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
478
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
479 // FIXME -- need to handle NA too?
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
480
82be108cc558 First attempt at single precision tyeps
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parents: 7740
diff changeset
481 FloatComplex
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parents: 7740
diff changeset
482 xmin (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
483 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
484 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
485 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
486
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
487 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
488 xmax (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
489 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
490 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
491 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
492
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
493 Complex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
494 rc_acos (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
495 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
496 return fabs (x) > 1.0 ? acos (Complex (x)) : Complex (acos (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
497 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
498
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
499 FloatComplex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
500 rc_acos (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
501 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
502 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
503 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
504
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
505 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
506 rc_acosh (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
507 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
508 return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
509 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
510
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
511 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
512 rc_acosh (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
513 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
514 return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acoshf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
515 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
516
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
517 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
518 rc_asin (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
519 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
520 return fabs (x) > 1.0 ? asin (Complex (x)) : Complex (asin (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 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
524 rc_asin (float 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 fabsf (x) > 1.0f ? asin (FloatComplex (x)) : FloatComplex (asinf (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 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
530 rc_atanh (double 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 fabs (x) > 1.0 ? atanh (Complex (x)) : Complex (atanh (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 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
536 rc_atanh (float 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 fabsf (x) > 1.0f ? atanh (FloatComplex (x)) : FloatComplex (atanhf (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 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
542 rc_log (double 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 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
545 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
546 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
547
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
548 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
549 rc_log (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
550 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
551 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
552 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
553 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
554
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
555 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
556 rc_log2 (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
557 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
558 const double pil2 = 4.53236014182719380962; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
559 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
560 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
561
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
562 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
563 rc_log2 (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
564 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
565 const float pil2 = 4.53236014182719380962f; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
566 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
567 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
568
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
569 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
570 rc_log10 (double x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
571 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
572 const double pil10 = 1.36437635384184134748; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
573 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
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 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
577 rc_log10 (float 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 float pil10 = 1.36437635384184134748f; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
580 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
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 Complex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
584 rc_sqrt (double 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 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
587 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
588
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
589 FloatComplex
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
590 rc_sqrt (float x)
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
591 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
592 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
593 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
594
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
595 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
596 xnegative_sign (double x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
597 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
598 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
599 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
600
11212
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
601 bool
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
602 xnegative_sign (float x)
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
603 {
ce27d6f4e134 use templates and inline for more lo-mappers functionos
John W. Eaton <jwe@octave.org>
parents: 11211
diff changeset
604 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
605 }
11211
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
606
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
607 // 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
608 // this function.
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
609
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
610 // 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
611
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
612 octave_idx_type
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
613 NINTbig (double x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
614 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
615 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
616 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
617 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
618 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
619 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
620 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
621 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
622
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
623 octave_idx_type
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
624 NINTbig (float x)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
625 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
626 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
627 return std::numeric_limits<octave_idx_type>::max ();
2554b4a0806e use templates for some lo-mappers functions
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628 else if (x < std::numeric_limits<octave_idx_type>::min ())
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629 return std::numeric_limits<octave_idx_type>::min ();
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630 else
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631 return static_cast<octave_idx_type> ((x > 0) ? (x + 0.5) : (x - 0.5));
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632 }
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633
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634 int
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635 NINT (double x)
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636 {
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637 if (x > std::numeric_limits<int>::max ())
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638 return std::numeric_limits<int>::max ();
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639 else if (x < std::numeric_limits<int>::min ())
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640 return std::numeric_limits<int>::min ();
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641 else
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642 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
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643 }
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644
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645 int
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646 NINT (float x)
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647 {
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648 if (x > std::numeric_limits<int>::max ())
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649 return std::numeric_limits<int>::max ();
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650 else if (x < std::numeric_limits<int>::min ())
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651 return std::numeric_limits<int>::min ();
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652 else
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653 return static_cast<int> ((x > 0) ? (x + 0.5) : (x - 0.5));
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654 }