annotate liboctave/lo-mappers.h @ 11212:ce27d6f4e134

use templates and inline for more lo-mappers functionos
author John W. Eaton <jwe@octave.org>
date Tue, 09 Nov 2010 04:24:26 -0500
parents 2554b4a0806e
children 009d16b010fa
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1 /*
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2
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3 Copyright (C) 1996, 1997, 1998, 1999, 2001, 2002, 2003, 2004, 2005,
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4 2006, 2007, 2008 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.
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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 #if !defined (octave_liboctave_mappers_h)
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26 #define octave_liboctave_mappers_h 1
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27
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28 #include <limits>
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29
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30 #include "oct-cmplx.h"
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31 #include "lo-math.h"
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32
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33 // Double Precision
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34 inline double xtrunc (double x) { return gnulib::trunc (x); }
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35 inline double xcopysign (double x, double y) { return copysignf (x, y); }
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36 inline double xceil (double x) { return ceil (x); }
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37 inline double xfloor (double x) { return floor (x); }
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38
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39 inline double arg (double x) { return atan2 (0.0, x); }
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40 inline double conj (double x) { return x; }
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41 inline double fix (double x) { return xtrunc (x); }
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42 inline double imag (double) { return 0.0; }
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43 inline double real (double x) { return x; }
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44 inline double xround (double x) { return gnulib::round (x); }
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45 extern OCTAVE_API double xroundb (double x);
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46 extern OCTAVE_API double signum (double x);
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47 extern OCTAVE_API double xlog2 (double x);
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48 extern OCTAVE_API Complex xlog2 (const Complex& x);
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49 extern OCTAVE_API double xlog2 (double x, int& exp);
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50 extern OCTAVE_API Complex xlog2 (const Complex& x, int& exp);
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51 extern OCTAVE_API double xexp2 (double x);
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52
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53 // These are used by the BOOL_OP macros in mx-op-defs.h.
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54 inline bool xisnan (bool) { return false; }
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55 inline bool xisnan (char) { return false; }
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56
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57 #if defined (HAVE_CMATH_ISNAN)
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58 inline bool xisnan (double x)
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59 { return std::isnan (x); }
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60 #else
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61 extern OCTAVE_API bool xisnan (double x);
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62 #endif
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63 #if defined (HAVE_CMATH_ISFINITE)
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64 inline bool xfinite (double x)
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65 { return std::isfinite (x); }
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66 #else
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67 extern OCTAVE_API bool xfinite (double x);
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68 #endif
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69 #if defined (HAVE_CMATH_ISINF)
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70 inline bool xisinf (double x)
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71 { return std::isinf (x); }
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72 #else
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73 extern OCTAVE_API bool xisinf (double x);
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74 #endif
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75
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76 extern OCTAVE_API bool octave_is_NA (double x);
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77 extern OCTAVE_API bool octave_is_NaN_or_NA (double x) GCC_ATTR_DEPRECATED;
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78
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79 // Generic xmin, xmax definitions
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80 template <class T>
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81 inline T xmin (T x, T y)
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82 {
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83 return x <= y ? x : y;
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84 }
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85
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86 template <class T>
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87 inline T xmax (T x, T y)
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88 {
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89 return x >= y ? x : y;
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90 }
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91
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92 // This form is favorable. GCC will translate (x <= y ? x : y) without a
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93 // jump, hence the only conditional jump involved will be the first
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94 // (xisnan), infrequent and hence friendly to branch prediction.
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95 inline double
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96 xmin (double x, double y)
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97 {
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98 return xisnan (y) ? x : (x <= y ? x : y);
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99 }
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100
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101 inline double
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102 xmax (double x, double y)
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103 {
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104 return xisnan (y) ? x : (x >= y ? x : y);
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105 }
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106
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107 extern OCTAVE_API Complex acos (const Complex& x);
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108 extern OCTAVE_API Complex acosh (const Complex& x);
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109 extern OCTAVE_API Complex asin (const Complex& x);
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110 extern OCTAVE_API Complex asinh (const Complex& x);
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111 extern OCTAVE_API Complex atan (const Complex& x);
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112 extern OCTAVE_API Complex atanh (const Complex& x);
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113
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114 extern OCTAVE_API bool octave_is_NA (const Complex& x);
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115 extern OCTAVE_API bool octave_is_NaN_or_NA (const Complex& x);
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116
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117 extern OCTAVE_API Complex xmin (const Complex& x, const Complex& y);
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118 extern OCTAVE_API Complex xmax (const Complex& x, const Complex& y);
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119
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120 // Single Precision
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121 inline float xtrunc (float x) { return gnulib::truncf (x); }
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122 inline float xcopysign (float x, float y) { return copysignf (x, y); }
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123 inline float xceil (float x) { return ceilf (x); }
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124 inline float xfloor (float x) { return floorf (x); }
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125
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126 inline float arg (float x) { return atan2f (0.0f, x); }
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127 inline float conj (float x) { return x; }
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128 inline float fix (float x) { return xtrunc (x); }
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129 inline float imag (float) { return 0.0f; }
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130 inline float real (float x) { return x; }
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131 inline float xround (float x) { return gnulib::round (x); }
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132 extern OCTAVE_API float xroundb (float x);
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133 extern OCTAVE_API float signum (float x);
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134 extern OCTAVE_API float xlog2 (float x);
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135 extern OCTAVE_API FloatComplex xlog2 (const FloatComplex& x);
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136 extern OCTAVE_API float xlog2 (float x, int& exp);
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137 extern OCTAVE_API FloatComplex xlog2 (const FloatComplex& x, int& exp);
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138 extern OCTAVE_API float xexp2 (float x);
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139
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140 #if defined (HAVE_CMATH_ISNANF)
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141 inline bool xisnan (float x)
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142 { return std::isnan (x); }
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143 #else
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144 extern OCTAVE_API bool xisnan (float x);
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145 #endif
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146 #if defined (HAVE_CMATH_ISFINITEF)
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147 inline bool xfinite (float x)
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148 { return std::isfinite (x); }
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149 #else
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150 extern OCTAVE_API bool xfinite (float x);
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151 #endif
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152 #if defined (HAVE_CMATH_ISINFF)
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153 inline bool xisinf (float x)
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154 { return std::isinf (x); }
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155 #else
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156 extern OCTAVE_API bool xisinf (float x);
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157 #endif
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158
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159 extern OCTAVE_API bool octave_is_NA (float x);
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160 extern OCTAVE_API bool octave_is_NaN_or_NA (float x) GCC_ATTR_DEPRECATED;
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161
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162 inline float
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163 xmin (float x, float y)
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164 {
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165 return xisnan (y) ? x : (x <= y ? x : y);
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166 }
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167
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168 inline float
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169 xmax (float x, float y)
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170 {
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171 return xisnan (y) ? x : (x >= y ? x : y);
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172 }
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173
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174 extern OCTAVE_API FloatComplex acos (const FloatComplex& x);
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175 extern OCTAVE_API FloatComplex acosh (const FloatComplex& x);
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176 extern OCTAVE_API FloatComplex asin (const FloatComplex& x);
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177 extern OCTAVE_API FloatComplex asinh (const FloatComplex& x);
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178 extern OCTAVE_API FloatComplex atan (const FloatComplex& x);
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179 extern OCTAVE_API FloatComplex atanh (const FloatComplex& x);
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180
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181 extern OCTAVE_API bool octave_is_NA (const FloatComplex& x);
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182 extern OCTAVE_API bool octave_is_NaN_or_NA (const FloatComplex& x);
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183
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184 extern OCTAVE_API FloatComplex xmin (const FloatComplex& x, const FloatComplex& y);
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185 extern OCTAVE_API FloatComplex xmax (const FloatComplex& x, const FloatComplex& y);
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186
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187 // These map reals to Complex.
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188
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189 extern OCTAVE_API Complex rc_acos (double);
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190 extern OCTAVE_API FloatComplex rc_acos (float);
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191 extern OCTAVE_API Complex rc_acosh (double);
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192 extern OCTAVE_API FloatComplex rc_acosh (float);
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193 extern OCTAVE_API Complex rc_asin (double);
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194 extern OCTAVE_API FloatComplex rc_asin (float);
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195 extern OCTAVE_API Complex rc_atanh (double);
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196 extern OCTAVE_API FloatComplex rc_atanh (float);
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197 extern OCTAVE_API Complex rc_log (double);
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198 extern OCTAVE_API FloatComplex rc_log (float);
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199 extern OCTAVE_API Complex rc_log2 (double);
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200 extern OCTAVE_API FloatComplex rc_log2 (float);
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201 extern OCTAVE_API Complex rc_log10 (double);
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202 extern OCTAVE_API FloatComplex rc_log10 (float);
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203 extern OCTAVE_API Complex rc_sqrt (double);
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204 extern OCTAVE_API FloatComplex rc_sqrt (float);
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205
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206 // Some useful tests, that are commonly repeated.
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207 // Test for a finite integer.
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208 inline bool
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209 xisinteger (double x)
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210 {
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211 return xfinite (x) && x == xround (x);
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212 }
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213
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214 inline bool
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215 xisinteger (float x)
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216 {
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217 return xfinite (x) && x == xround (x);
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218 }
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219
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220 // Test for negative sign.
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221 extern OCTAVE_API bool xnegative_sign (double x);
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222 extern OCTAVE_API bool xnegative_sign (float x);
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223
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224 // Some old rounding functions.
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225
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226 extern OCTAVE_API octave_idx_type NINTbig (double x);
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227 extern OCTAVE_API octave_idx_type NINTbig (float x);
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228
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229 extern OCTAVE_API int NINT (double x);
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230 extern OCTAVE_API int NINT (float x);
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231
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232 template <typename T>
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233 OCTAVE_API
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234 T
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235 X_NINT (T x)
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236 {
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237 return (xisinf (x) || xisnan (x)) ? x : xfloor (x + 0.5);
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238 }
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239
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240 inline OCTAVE_API double D_NINT (double x) { return X_NINT (x); }
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241 inline OCTAVE_API float F_NINT (float x) { return X_NINT (x); }
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242
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243 // Template functions can have either float or double arguments.
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244
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245 template <typename T>
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246 bool
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247 xisnan (const std::complex<T>& x)
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248 {
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249 return (xisnan (real (x)) || xisnan (imag (x)));
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250 }
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251
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252 template <typename T>
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253 bool
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254 xfinite (const std::complex<T>& x)
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255 {
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256 return (xfinite (real (x)) && xfinite (imag (x)));
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257 }
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258
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259 template <typename T>
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260 bool
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261 xisinf (const std::complex<T>& x)
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262 {
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263 return (xisinf (real (x)) || xisinf (imag (x)));
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264 }
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265
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266 template <typename T>
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267 std::complex<T>
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268 fix (const std::complex<T>& x)
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269 {
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270 return std::complex<T> (fix (real (x)), fix (imag (x)));
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271 }
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272
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273 template <typename T>
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274 std::complex<T>
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275 ceil (const std::complex<T>& x)
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276 {
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277 return std::complex<T> (xceil (real (x)), xceil (imag (x)));
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278 }
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279
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280 template <typename T>
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281 std::complex<T>
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282 floor (const std::complex<T>& x)
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283 {
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284 return std::complex<T> (xfloor (real (x)), xfloor (imag (x)));
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285 }
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286
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287 template <typename T>
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288 std::complex<T>
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289 xround (const std::complex<T>& x)
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290 {
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291 return std::complex<T> (xround (real (x)), xround (imag (x)));
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292 }
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293
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294 template <typename T>
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295 std::complex<T>
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296 xroundb (const std::complex<T>& x)
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297 {
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298 return std::complex<T> (xroundb (real (x)), xroundb (imag (x)));
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299 }
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300
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diff changeset
301 template <typename T>
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302 std::complex<T>
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303 signum (const std::complex<T>& x)
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304 {
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305 T tmp = abs (x);
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306
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307 return tmp == 0 ? 0.0 : x / tmp;
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308 }
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309
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diff changeset
310 template <typename T>
11211
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311 OCTAVE_API
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312 T
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313 xmod (T x, T y)
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314 {
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315 T retval;
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316
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317 if (y == 0)
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318 retval = x;
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319 else
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320 {
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321 T q = x / y;
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322
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323 T n = floor (q);
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324
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325 if (X_NINT (y) != y)
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326 {
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327 if (X_NINT (q) == q)
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328 n = q;
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329 else
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330 {
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331 if (x >= -1 && x <= 1)
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John W. Eaton <jwe@octave.org>
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332 {
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333 if (std::abs (q - X_NINT (q))
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334 < std::numeric_limits<T>::epsilon ())
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335 n = X_NINT (q);
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336 }
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337 else
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338 {
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339 if (std::abs ((q - X_NINT (q))/ X_NINT (q))
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John W. Eaton <jwe@octave.org>
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340 < std::numeric_limits<T>::epsilon ())
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341 n = D_NINT (q);
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342 }
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343 }
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344 }
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345
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346 retval = x - y * n;
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347 }
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348
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349 if (x != y && y != 0)
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350 retval = xcopysign (retval, y);
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diff changeset
351
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352 return retval;
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353 }
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354
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355 template <typename T>
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diff changeset
356 OCTAVE_API
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357 T
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diff changeset
358 xrem (T x, T y)
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diff changeset
359 {
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diff changeset
360 T retval;
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John W. Eaton <jwe@octave.org>
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diff changeset
361
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John W. Eaton <jwe@octave.org>
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diff changeset
362 if (y == 0)
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John W. Eaton <jwe@octave.org>
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diff changeset
363 retval = x;
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John W. Eaton <jwe@octave.org>
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diff changeset
364 else
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John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
365 {
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John W. Eaton <jwe@octave.org>
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diff changeset
366 T q = x / y;
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John W. Eaton <jwe@octave.org>
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diff changeset
367
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John W. Eaton <jwe@octave.org>
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diff changeset
368 T n = xtrunc (q);
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diff changeset
369
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John W. Eaton <jwe@octave.org>
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diff changeset
370 if (X_NINT (y) != y)
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John W. Eaton <jwe@octave.org>
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diff changeset
371 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
372 if (X_NINT (q) == q)
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John W. Eaton <jwe@octave.org>
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diff changeset
373 n = q;
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John W. Eaton <jwe@octave.org>
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diff changeset
374 else
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John W. Eaton <jwe@octave.org>
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diff changeset
375 {
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John W. Eaton <jwe@octave.org>
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diff changeset
376 if (x >= -1 && x <= 1)
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John W. Eaton <jwe@octave.org>
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diff changeset
377 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
378 if (std::abs (q - X_NINT (q))
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
379 < std::numeric_limits<T>::epsilon ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
380 n = X_NINT (q);
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John W. Eaton <jwe@octave.org>
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diff changeset
381 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
382 else
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
383 {
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
384 if (std::abs ((q - X_NINT (q))/ X_NINT (q))
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
385 < std::numeric_limits<T>::epsilon ())
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
386 n = X_NINT (q);
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
387 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
388 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
389 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
390
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
391 retval = x - y * n;
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
392 }
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
393
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
parents: 11209
diff changeset
394 if (x != y && y != 0)
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
395 retval = xcopysign (retval, x);
2554b4a0806e use templates for some lo-mappers functions
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parents: 11209
diff changeset
396
2554b4a0806e use templates for some lo-mappers functions
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diff changeset
397 return retval;
2554b4a0806e use templates for some lo-mappers functions
John W. Eaton <jwe@octave.org>
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diff changeset
398 }
11010
9478b216752e simplify more array tests
Jaroslav Hajek <highegg@gmail.com>
parents: 10521
diff changeset
399
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
400 #endif