annotate liboctave/lo-mappers.cc @ 11209:94d9d412a2a0

improve Matlab compatibility of rem and mod
author John W. Eaton <jwe@octave.org>
date Tue, 09 Nov 2010 00:57:49 -0500
parents 9478b216752e
children 2554b4a0806e
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1 /*
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2
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3 Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004,
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4 2005, 2006, 2007, 2008, 2009 John W. Eaton
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5 Copyright (C) 2010 VZLU Prague
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6
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7 This file is part of Octave.
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8
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9 Octave is free software; you can redistribute it and/or modify it
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10 under the terms of the GNU General Public License as published by the
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11 Free Software Foundation; either version 3 of the License, or (at your
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12 option) any later version.
1967
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13
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14 Octave is distributed in the hope that it will be useful, but WITHOUT
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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17 for more details.
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18
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19 You should have received a copy of the GNU General Public License
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20 along with Octave; see the file COPYING. If not, see
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21 <http://www.gnu.org/licenses/>.
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22
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23 */
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24
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25 #ifdef HAVE_CONFIG_H
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26 #include <config.h>
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27 #endif
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28
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29 #include <cfloat>
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30
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31 #include "lo-error.h"
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32 #include "lo-ieee.h"
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33 #include "lo-mappers.h"
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34 #include "lo-math.h"
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35 #include "lo-specfun.h"
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36 #include "lo-utils.h"
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37 #include "oct-cmplx.h"
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38
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39 #include "f77-fcn.h"
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40
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41 // double -> double mappers.
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42
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43 double
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44 arg (double x)
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45 {
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46 return atan2 (0.0, x);
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47 }
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48
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49 double
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50 conj (double x)
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51 {
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52 return x;
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53 }
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54
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55 double
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56 fix (double x)
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57 {
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58 return gnulib::trunc (x);
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59 }
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60
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61 double
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62 imag (double)
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63 {
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64 return 0.0;
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65 }
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66
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67 double
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68 real (double x)
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69 {
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70 return x;
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71 }
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72
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73 double
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74 xround (double x)
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75 {
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76 return gnulib::round (x);
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77 }
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78
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79 double
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80 xtrunc (double x)
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81 {
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82 return gnulib::trunc (x);
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83 }
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84
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85 double
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86 xroundb (double x)
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87 {
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88 double t = xround (x);
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89
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90 if (fabs (x - t) == 0.5)
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91 t = 2 * xtrunc (0.5 * t);
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92
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93 return t;
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94 }
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95
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96 double
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97 signum (double x)
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98 {
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99 double tmp = 0.0;
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100
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101 if (x < 0.0)
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102 tmp = -1.0;
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103 else if (x > 0.0)
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104 tmp = 1.0;
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105
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106 return xisnan (x) ? octave_NaN : tmp;
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107 }
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108
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109 double
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110 xmod (double x, double y)
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111 {
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112 double retval;
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113
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114 if (y == 0)
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115 retval = x;
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116 else
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117 {
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118 double q = x / y;
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119
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120 double n = floor (q);
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121
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122 if (D_NINT (y) != y)
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123 {
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124 if (D_NINT (q) == q)
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125 n = q;
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126 else
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127 {
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128 if (x >= -1 && x <= 1)
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129 {
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130 if (std::abs (q - D_NINT (q)) < DBL_EPSILON)
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131 n = D_NINT (q);
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132 }
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133 else
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134 {
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135 if (std::abs ((q - D_NINT (q))/ D_NINT (q)) < DBL_EPSILON)
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136 n = D_NINT (q);
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137 }
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138 }
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139 }
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140
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141 retval = x - y * n;
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142 }
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143
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144 if (x != y && y != 0)
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145 retval = copysignf (retval, y);
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146
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147 return retval;
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148 }
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149
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150 double
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151 xrem (double x, double y)
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152 {
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153 double retval;
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154
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155 if (y == 0)
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diff changeset
156 retval = x;
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157 else
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diff changeset
158 {
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diff changeset
159 double q = x / y;
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diff changeset
160
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diff changeset
161 double n = trunc (q);
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diff changeset
162
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diff changeset
163 if (D_NINT (y) != y)
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164 {
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165 if (D_NINT (q) == q)
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166 n = q;
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167 else
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168 {
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parents: 11010
diff changeset
169 if (x >= -1 && x <= 1)
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170 {
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diff changeset
171 if (std::abs (q - D_NINT (q)) < DBL_EPSILON)
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172 n = D_NINT (q);
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173 }
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parents: 11010
diff changeset
174 else
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parents: 11010
diff changeset
175 {
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176 if (std::abs ((q - D_NINT (q))/ D_NINT (q)) < DBL_EPSILON)
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177 n = D_NINT (q);
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178 }
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179 }
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180 }
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181
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182 retval = x - y * n;
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183 }
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184
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185 if (x != y && y != 0)
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186 retval = copysignf (retval, x);
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187
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188 return retval;
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189 }
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190
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191 double
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192 xlog2 (double x)
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193 {
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194 #if defined (HAVE_LOG2)
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195 return log2 (x);
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196 #else
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197 #if defined (M_LN2)
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198 static double ln2 = M_LN2;
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199 #else
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200 static double ln2 = log (2);
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201 #endif
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202
80d3933fb8b6 [project @ 2006-07-26 17:19:10 by jwe]
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diff changeset
203 return log (x) / ln2;
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jwe
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diff changeset
204 #endif
80d3933fb8b6 [project @ 2006-07-26 17:19:10 by jwe]
jwe
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diff changeset
205 }
80d3933fb8b6 [project @ 2006-07-26 17:19:10 by jwe]
jwe
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206
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diff changeset
207 Complex
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208 xlog2 (const Complex& x)
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209 {
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210 #if defined (M_LN2)
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211 static double ln2 = M_LN2;
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212 #else
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213 static double ln2 = log (2);
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214 #endif
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215
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216 return std::log (x) / ln2;
39930366b709 implement builtin log2
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217 }
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218
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219 double
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diff changeset
220 xexp2 (double x)
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221 {
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diff changeset
222 #if defined (HAVE_EXP2)
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jwe
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223 return exp2 (x);
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224 #else
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parents: 5775
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225 #if defined (M_LN2)
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226 static double ln2 = M_LN2;
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227 #else
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228 static double ln2 = log (2);
5904
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229 #endif
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diff changeset
230
80d3933fb8b6 [project @ 2006-07-26 17:19:10 by jwe]
jwe
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231 return exp (x * ln2);
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diff changeset
232 #endif
80d3933fb8b6 [project @ 2006-07-26 17:19:10 by jwe]
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233 }
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234
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235 double
39930366b709 implement builtin log2
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diff changeset
236 xlog2 (double x, int& exp)
39930366b709 implement builtin log2
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diff changeset
237 {
39930366b709 implement builtin log2
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238 return frexp (x, &exp);
39930366b709 implement builtin log2
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239 }
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240
39930366b709 implement builtin log2
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241 Complex
39930366b709 implement builtin log2
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242 xlog2 (const Complex& x, int& exp)
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diff changeset
243 {
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244 double ax = std::abs (x);
39930366b709 implement builtin log2
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245 double lax = xlog2 (ax, exp);
9319
0d9178575dd7 fix log2 with 2 outargs, loosen tests to meet IEEE
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diff changeset
246 return (ax != lax) ? (x / ax) * lax : x;
7740
39930366b709 implement builtin log2
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247 }
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diff changeset
248
3248
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249 // double -> bool mappers.
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250
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
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diff changeset
251 #if ! defined(HAVE_CMATH_ISNAN)
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252 bool
1967
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253 xisnan (double x)
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254 {
4074
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255 return lo_ieee_isnan (x);
1967
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256 }
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a48fba01e4ac optimize isnan/isinf/isfinite mappers
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diff changeset
257 #endif
1967
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258
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diff changeset
259 #if ! defined(HAVE_CMATH_ISFINITE)
3248
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260 bool
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
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261 xfinite (double x)
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262 {
4074
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263 return lo_ieee_finite (x);
1967
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parents:
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264 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
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diff changeset
265 #endif
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
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266
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diff changeset
267 #if ! defined(HAVE_CMATH_ISINF)
3248
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diff changeset
268 bool
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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269 xisinf (double x)
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270 {
4074
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271 return lo_ieee_isinf (x);
1967
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272 }
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diff changeset
273 #endif
1967
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274
4025
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diff changeset
275 bool
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diff changeset
276 octave_is_NA (double x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
277 {
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
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parents: 3873
diff changeset
278 return lo_ieee_is_NA (x);
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
279 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
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parents: 3873
diff changeset
280
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
281 bool
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
282 octave_is_NaN_or_NA (double x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
283 {
5389
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parents: 5307
diff changeset
284 return lo_ieee_isnan (x);
4025
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diff changeset
285 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
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diff changeset
286
3248
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diff changeset
287 // (double, double) -> double mappers.
1967
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288
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diff changeset
289 // complex -> complex mappers.
1967
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290
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
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291 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
292 acos (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
293 {
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
294 static Complex i (0, 1);
3056
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diff changeset
295
6414
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diff changeset
296 return -i * (log (x + i * (sqrt (1.0 - x*x))));
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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297 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
298
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
299 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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parents:
diff changeset
300 acosh (const Complex& x)
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parents:
diff changeset
301 {
3056
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diff changeset
302 return log (x + sqrt (x*x - 1.0));
1967
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parents:
diff changeset
303 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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diff changeset
304
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parents:
diff changeset
305 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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diff changeset
306 asin (const Complex& x)
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parents:
diff changeset
307 {
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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diff changeset
308 static Complex i (0, 1);
3056
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diff changeset
309
b08a007edd15 [project @ 1997-06-16 02:12:15 by jwe]
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diff changeset
310 return -i * log (i*x + sqrt (1.0 - x*x));
1967
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311 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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diff changeset
312
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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diff changeset
313 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
314 asinh (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
315 {
3056
b08a007edd15 [project @ 1997-06-16 02:12:15 by jwe]
jwe
parents: 3049
diff changeset
316 return log (x + sqrt (x*x + 1.0));
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
317 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
318
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
319 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
320 atan (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
321 {
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
322 static Complex i (0, 1);
3056
b08a007edd15 [project @ 1997-06-16 02:12:15 by jwe]
jwe
parents: 3049
diff changeset
323
b08a007edd15 [project @ 1997-06-16 02:12:15 by jwe]
jwe
parents: 3049
diff changeset
324 return i * log ((i + x) / (i - x)) / 2.0;
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
325 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
326
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
327 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
328 atanh (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
329 {
3092
4bb976b250bf [project @ 1997-10-17 07:48:48 by jwe]
jwe
parents: 3069
diff changeset
330 return log ((1.0 + x) / (1.0 - x)) / 2.0;
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
331 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
332
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
333 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
334 ceil (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
335 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 1993
diff changeset
336 return Complex (ceil (real (x)), ceil (imag (x)));
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
337 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
338
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
339 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
340 fix (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
341 {
3012
0ea30e0e86cc [project @ 1997-06-02 18:57:07 by jwe]
jwe
parents: 2847
diff changeset
342 return Complex (fix (real (x)), fix (imag (x)));
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
343 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
344
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
345 Complex
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
346 floor (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
347 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 1993
diff changeset
348 return Complex (floor (real (x)), floor (imag (x)));
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
349 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
350
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
351 Complex
4968
c09cbec51190 [project @ 2004-09-08 02:13:55 by jwe]
jwe
parents: 4662
diff changeset
352 xround (const Complex& x)
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
353 {
4968
c09cbec51190 [project @ 2004-09-08 02:13:55 by jwe]
jwe
parents: 4662
diff changeset
354 return Complex (xround (real (x)), xround (imag (x)));
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
355 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
356
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
357 Complex
7636
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
358 xroundb (const Complex& x)
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
359 {
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
360 return Complex (xroundb (real (x)), xroundb (imag (x)));
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
361 }
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
362
99c410f7f0b0 implement mapper function for banker's rounding
Jaroslav Hajek <highegg@gmail.com>
parents: 7231
diff changeset
363 Complex
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
364 signum (const Complex& x)
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
365 {
6596
64a7b0bec331 [project @ 2007-04-27 16:36:46 by jwe]
jwe
parents: 6414
diff changeset
366 double tmp = abs (x);
64a7b0bec331 [project @ 2007-04-27 16:36:46 by jwe]
jwe
parents: 6414
diff changeset
367
64a7b0bec331 [project @ 2007-04-27 16:36:46 by jwe]
jwe
parents: 6414
diff changeset
368 return tmp == 0 ? 0.0 : x / tmp;
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
369 }
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
370
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
371 // complex -> bool mappers.
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
372
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
373 bool
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
374 octave_is_NA (const Complex& x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
375 {
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
376 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
377 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
378
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
379 bool
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
380 octave_is_NaN_or_NA (const Complex& x)
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
381 {
5389
25c8956d2204 [project @ 2005-06-15 03:45:46 by jwe]
jwe
parents: 5307
diff changeset
382 return (xisnan (real (x)) || xisnan (imag (x)));
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
383 }
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
384
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
385 // (complex, complex) -> complex mappers.
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
386
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5389
diff changeset
387 // FIXME -- need to handle NA too?
4025
cfb762dc9259 [project @ 2002-08-09 06:32:15 by jwe]
jwe
parents: 3873
diff changeset
388
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
389 Complex
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
390 xmin (const Complex& x, const Complex& y)
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
391 {
3757
574711ce9070 [project @ 2000-12-15 18:19:15 by jwe]
jwe
parents: 3268
diff changeset
392 return abs (x) <= abs (y) ? x : (xisnan (x) ? x : y);
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
393 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
394
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
395 Complex
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
396 xmax (const Complex& x, const Complex& y)
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
397 {
3757
574711ce9070 [project @ 2000-12-15 18:19:15 by jwe]
jwe
parents: 3268
diff changeset
398 return abs (x) >= abs (y) ? x : (xisnan (x) ? x : y);
3248
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
399 }
68259f410026 [project @ 1999-07-13 03:34:54 by jwe]
jwe
parents: 3206
diff changeset
400
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
401
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
402 // float -> float mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
403
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
404 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
405 arg (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
406 {
7889
76142609e8d2 Remove some float-functions ambiguities.
John W. Eaton <jwe@octave.org>
parents: 7789
diff changeset
407 return atan2 (0.0f, x);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
408 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
409
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
410 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
411 conj (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
412 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
413 return x;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
414 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
415
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
416 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
417 fix (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
418 {
10459
20ce1bea653d use round and trunc from gnulib where possible
Jaroslav Hajek <highegg@gmail.com>
parents: 10436
diff changeset
419 return gnulib::truncf (x);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
420 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
421
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
422 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
423 imag (float)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
424 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
425 return 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
426 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
427
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
428 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
429 real (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
430 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
431 return x;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
432 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
433
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
434 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
435 xround (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
436 {
10411
479cc8a0a846 use gnulib namespace
John W. Eaton <jwe@octave.org>
parents: 10314
diff changeset
437 return gnulib::round (x);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
438 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
439
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
440 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
441 xtrunc (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
442 {
10459
20ce1bea653d use round and trunc from gnulib where possible
Jaroslav Hajek <highegg@gmail.com>
parents: 10436
diff changeset
443 return gnulib::truncf (x);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
444 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
445
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
446 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
447 xroundb (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
448 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
449 float t = xround (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
450
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
451 if (fabs (x - t) == 0.5)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
452 t = 2 * xtrunc (0.5 * t);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
453
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
454 return t;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
455 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
456
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
457 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
458 signum (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
459 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
460 float tmp = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
461
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
462 if (x < 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
463 tmp = -1.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
464 else if (x > 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
465 tmp = 1.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
466
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
467 return xisnan (x) ? octave_Float_NaN : tmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
468 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
469
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
470 float
11209
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
471 xmod (float x, float y)
10436
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
472 {
11209
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
473 float retval;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
474
10436
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
475 if (y == 0)
11209
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
476 retval = x;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
477 else
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
478 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
479 float q = x / y;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
480
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
481 float n = floor (q);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
482
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
483 if (F_NINT (y) != y)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
484 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
485 if (F_NINT (q) == q)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
486 n = q;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
487 else
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
488 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
489 if (x >= -1 && x <= 1)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
490 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
491 if (std::abs (q - F_NINT (q)) < FLT_EPSILON)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
492 n = F_NINT (q);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
493 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
494 else
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
495 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
496 if (std::abs ((q - F_NINT (q))/ F_NINT (q)) < FLT_EPSILON)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
497 n = F_NINT (q);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
498 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
499 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
500 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
501
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
502 retval = x - y * n;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
503 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
504
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
505 if (x != y && y != 0)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
506 retval = copysignf (retval, y);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
507
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
508 return retval;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
509 }
10436
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
510
11209
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
511 float
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
512 xrem (float x, float y)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
513 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
514 float retval;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
515
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
516 if (y == 0)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
517 retval = x;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
518 else
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
519 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
520 float q = x / y;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
521
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
522 float n = truncf (q);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
523
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
524 if (F_NINT (y) != y)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
525 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
526 if (F_NINT (q) == q)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
527 n = q;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
528 else
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
529 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
530 if (x >= -1 && x <= 1)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
531 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
532 if (std::abs (q - F_NINT (q)) < FLT_EPSILON)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
533 n = F_NINT (q);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
534 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
535 else
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
536 {
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
537 if (std::abs ((q - F_NINT (q))/ F_NINT (q)) < FLT_EPSILON)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
538 n = F_NINT (q);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
539 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
540 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
541 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
542
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
543 retval = x - y * n;
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
544 }
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
545
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
546 if (x != y && y != 0)
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
547 retval = copysignf (retval, x);
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
548
94d9d412a2a0 improve Matlab compatibility of rem and mod
John W. Eaton <jwe@octave.org>
parents: 11010
diff changeset
549 return retval;
10436
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
550 }
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
551
00219bdd2d17 implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
parents: 10411
diff changeset
552 float
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
553 xlog2 (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
554 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
555 #if defined (HAVE_LOG2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
556 return log2 (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
557 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
558 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
559 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
560 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
561 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
562 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
563
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
564 return log (x) / ln2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
565 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
566 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
567
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
568 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
569 xlog2 (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
570 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
571 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
572 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
573 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
574 static float ln2 = log (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
575 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
576
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
577 return std::log (x) / ln2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
578 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
579
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
580 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
581 xexp2 (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
582 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
583 #if defined (HAVE_EXP2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
584 return exp2 (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
585 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
586 #if defined (M_LN2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
587 static float ln2 = M_LN2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
588 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
589 static float ln2 = log2 (2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
590 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
591
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
592 return exp (x * ln2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
593 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
594 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
595
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
596 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
597 xlog2 (float x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
598 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
599 return frexpf (x, &exp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
600 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
601
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
602 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
603 xlog2 (const FloatComplex& x, int& exp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
604 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
605 float ax = std::abs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
606 float lax = xlog2 (ax, exp);
9319
0d9178575dd7 fix log2 with 2 outargs, loosen tests to meet IEEE
Jaroslav Hajek <highegg@gmail.com>
parents: 8998
diff changeset
607 return (ax != lax) ? (x / ax) * lax : x;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
608 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
609
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
610 // float -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
611
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
612 #if ! defined(HAVE_CMATH_ISNANF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
613 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
614 xisnan (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
615 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
616 return lo_ieee_isnan (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
617 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
618 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
619
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
620 #if ! defined(HAVE_CMATH_ISFINITEF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
621 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
622 xfinite (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
623 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
624 return lo_ieee_finite (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
625 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
626 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
627
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
628 #if ! defined(HAVE_CMATH_ISINFF)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
629 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
630 xisinf (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
631 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
632 return lo_ieee_isinf (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
633 }
8998
a48fba01e4ac optimize isnan/isinf/isfinite mappers
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
634 #endif
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
635
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
636 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
637 octave_is_NA (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
638 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
639 return lo_ieee_is_NA (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
640 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
641
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
642 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
643 octave_is_NaN_or_NA (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
644 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
645 return lo_ieee_isnan (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
646 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
647
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
648 // (float, float) -> float mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
649
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
650 // complex -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
651
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
652 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
653 acos (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
654 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
655 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
656
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
657 return -i * (log (x + i * (sqrt (static_cast<float>(1.0) - x*x))));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
658 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
659
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
660 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
661 acosh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
662 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
663 return log (x + sqrt (x*x - static_cast<float>(1.0)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
664 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
665
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
666 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
667 asin (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
668 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
669 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
670
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
671 return -i * log (i*x + sqrt (static_cast<float>(1.0) - x*x));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
672 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
673
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
674 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
675 asinh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
676 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
677 return log (x + sqrt (x*x + static_cast<float>(1.0)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
678 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
679
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
680 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
681 atan (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
682 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
683 static FloatComplex i (0, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
684
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
685 return i * log ((i + x) / (i - x)) / static_cast<float>(2.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
686 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
687
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
688 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
689 atanh (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
690 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
691 return log ((static_cast<float>(1.0) + x) / (static_cast<float>(1.0) - x)) / static_cast<float>(2.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
692 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
693
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
694 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
695 ceil (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
696 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
697 return FloatComplex (ceil (real (x)), ceil (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
698 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
699
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
700 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
701 fix (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
702 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
703 return FloatComplex (fix (real (x)), fix (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
704 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
705
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
706 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
707 floor (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
708 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
709 return FloatComplex (floor (real (x)), floor (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
710 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
711
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
712 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
713 xround (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
714 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
715 return FloatComplex (xround (real (x)), xround (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
716 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
717
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
718 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
719 xroundb (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
720 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
721 return FloatComplex (xroundb (real (x)), xroundb (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
722 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
723
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
724 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
725 signum (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
726 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
727 float tmp = abs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
728
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
729 return tmp == 0 ? 0.0 : x / tmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
730 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
731
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
732 // complex -> bool mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
733
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
734 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
735 octave_is_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
736 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
737 return (octave_is_NA (real (x)) || octave_is_NA (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
738 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
739
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
740 bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
741 octave_is_NaN_or_NA (const FloatComplex& x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
742 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
743 return (xisnan (real (x)) || xisnan (imag (x)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
744 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
745
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
746 // (complex, complex) -> complex mappers.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
747
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
748 // FIXME -- need to handle NA too?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
749
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
750 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
751 xmin (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
752 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
753 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
754 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
755
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
756 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
757 xmax (const FloatComplex& x, const FloatComplex& y)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
758 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
759 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
760 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7740
diff changeset
761
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
762 Complex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
763 rc_acos (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
764 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
765 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
766 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
767
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
768 FloatComplex
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
769 rc_acos (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
770 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
771 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
772 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
773
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
774 Complex rc_acosh (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
775 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
776 return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
777 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
778
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
779 FloatComplex rc_acosh (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
780 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
781 return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acoshf (x));
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
782 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
783
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
784 Complex rc_asin (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
785 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
786 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
787 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
788
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
789 FloatComplex rc_asin (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
790 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
791 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
792 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
793
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
794 Complex rc_atanh (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
795 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
796 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
797 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
798
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
799 FloatComplex rc_atanh (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
800 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
801 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
802 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
803
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
804 Complex rc_log (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
805 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
806 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
807 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
808 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
809
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
810 FloatComplex rc_log (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
811 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
812 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
813 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
814 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
815
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
816 Complex rc_log2 (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
817 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
818 const double pil2 = 4.53236014182719380962; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
819 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
820 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
821
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
822 FloatComplex rc_log2 (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
823 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
824 const float pil2 = 4.53236014182719380962f; // = pi / log(2)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
825 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
826 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
827
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
828 Complex rc_log10 (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
829 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
830 const double pil10 = 1.36437635384184134748; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
831 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
832 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
833
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
834 FloatComplex rc_log10 (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
835 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
836 const float pil10 = 1.36437635384184134748f; // = pi / log(10)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
837 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
838 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
839
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
840 Complex rc_sqrt (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
841 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
842 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
843 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
844
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
845 FloatComplex rc_sqrt (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
846 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9319
diff changeset
847 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
848 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
849
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
850 bool xnegative_sign (double x)
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
851 { return __lo_ieee_signbit (x); }
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
852
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
853 bool xnegative_sign (float x)
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
854 { return __lo_ieee_float_signbit (x); }