annotate liboctave/numeric/lo-mappers.h @ 18869:23681c9ea7ba stable

better guess if rem or mod could be zero (bug #42627) * lo-mappers.h (xmod, xrem): Don't treat abs(x)<=1 specially. Return 0 if x/y is assumed an integer. * data.cc: New tests for rem and mod.
author Olaf Till <i7tiol@t-online.de>
date Fri, 27 Jun 2014 11:49:22 +0200
parents ebb3ef964372
children 5b263e517c95
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1 /*
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2
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3 Copyright (C) 1996-2013 John W. Eaton
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4 Copyright (C) 2010 VZLU Prague
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5
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #if !defined (octave_lo_mappers_h)
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25 #define octave_lo_mappers_h 1
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26
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27 #include <limits>
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28
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29 #include "oct-cmplx.h"
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30 #include "lo-math.h"
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31
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32 // Double Precision
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33 extern OCTAVE_API double xtrunc (double x);
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34 extern OCTAVE_API double xcopysign (double x, double y);
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35 inline double xceil (double x) { return ceil (x); }
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36 extern OCTAVE_API double xfloor (double x);
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37 inline double arg (double x) { return atan2 (0.0, x); }
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38 inline double conj (double x) { return x; }
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39 inline double fix (double x) { return xtrunc (x); }
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40 inline double imag (double) { return 0.0; }
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41 inline double real (double x) { return x; }
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42 extern OCTAVE_API double xround (double x);
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43 extern OCTAVE_API double xroundb (double x);
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44 extern OCTAVE_API double signum (double x);
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45 extern OCTAVE_API double xlog2 (double x);
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46 extern OCTAVE_API Complex xlog2 (const Complex& x);
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47 extern OCTAVE_API double xlog2 (double x, int& exp);
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48 extern OCTAVE_API Complex xlog2 (const Complex& x, int& exp);
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49 extern OCTAVE_API double xexp2 (double x);
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50
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51 // These are used by the BOOL_OP macros in mx-op-defs.h.
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52 inline bool xisnan (bool) { return false; }
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53 inline bool xisnan (char) { return false; }
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54
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55 #if defined (HAVE_CMATH_ISNAN)
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56 inline bool xisnan (double x)
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57 { return std::isnan (x); }
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58 #else
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59 extern OCTAVE_API bool xisnan (double x);
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60 #endif
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61 #if defined (HAVE_CMATH_ISFINITE)
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62 inline bool xfinite (double x)
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63 { return std::isfinite (x); }
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64 #else
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65 extern OCTAVE_API bool xfinite (double x);
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66 #endif
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67 #if defined (HAVE_CMATH_ISINF)
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68 inline bool xisinf (double x)
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69 { return std::isinf (x); }
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70 #else
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71 extern OCTAVE_API bool xisinf (double x);
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72 #endif
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73
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74 extern OCTAVE_API bool octave_is_NA (double x);
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75 extern OCTAVE_API bool octave_is_NaN_or_NA (double x) GCC_ATTR_DEPRECATED;
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77 // Generic xmin, xmax definitions
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78 template <class T>
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79 inline T xmin (T x, T y)
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80 {
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81 return x <= y ? x : y;
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82 }
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83
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84 template <class T>
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85 inline T xmax (T x, T y)
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86 {
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87 return x >= y ? x : y;
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88 }
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89
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90 // This form is favorable. GCC will translate (x <= y ? x : y) without a
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91 // jump, hence the only conditional jump involved will be the first
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92 // (xisnan), infrequent and hence friendly to branch prediction.
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93 inline double
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94 xmin (double x, double y)
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95 {
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96 return xisnan (y) ? x : (x <= y ? x : y);
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97 }
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98
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99 inline double
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100 xmax (double x, double y)
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101 {
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102 return xisnan (y) ? x : (x >= y ? x : y);
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103 }
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105 extern OCTAVE_API Complex acos (const Complex& x);
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106 extern OCTAVE_API Complex acosh (const Complex& x);
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107 extern OCTAVE_API Complex asin (const Complex& x);
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108 extern OCTAVE_API Complex asinh (const Complex& x);
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109 extern OCTAVE_API Complex atan (const Complex& x);
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110 extern OCTAVE_API Complex atanh (const Complex& x);
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111
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112 extern OCTAVE_API bool octave_is_NA (const Complex& x);
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113 extern OCTAVE_API bool octave_is_NaN_or_NA (const Complex& x);
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114
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115 extern OCTAVE_API Complex xmin (const Complex& x, const Complex& y);
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116 extern OCTAVE_API Complex xmax (const Complex& x, const Complex& y);
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117
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118 // Single Precision
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119 extern OCTAVE_API float xtrunc (float x);
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120 extern OCTAVE_API float xcopysign (float x, float y);
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121 inline float xceil (float x) { return ceilf (x); }
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122 extern OCTAVE_API float xfloor (float x);
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123 inline float arg (float x) { return atan2f (0.0f, x); }
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124 inline float conj (float x) { return x; }
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125 inline float fix (float x) { return xtrunc (x); }
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126 inline float imag (float) { return 0.0f; }
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127 inline float real (float x) { return x; }
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128 extern OCTAVE_API float xround (float x);
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129 extern OCTAVE_API float xroundb (float x);
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130 extern OCTAVE_API float signum (float x);
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131 extern OCTAVE_API float xlog2 (float x);
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132 extern OCTAVE_API FloatComplex xlog2 (const FloatComplex& x);
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133 extern OCTAVE_API float xlog2 (float x, int& exp);
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134 extern OCTAVE_API FloatComplex xlog2 (const FloatComplex& x, int& exp);
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135 extern OCTAVE_API float xexp2 (float x);
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136
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137 #if defined (HAVE_CMATH_ISNANF)
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138 inline bool xisnan (float x)
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139 { return std::isnan (x); }
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140 #else
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141 extern OCTAVE_API bool xisnan (float x);
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142 #endif
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143 #if defined (HAVE_CMATH_ISFINITEF)
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144 inline bool xfinite (float x)
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145 { return std::isfinite (x); }
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146 #else
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147 extern OCTAVE_API bool xfinite (float x);
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148 #endif
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149 #if defined (HAVE_CMATH_ISINFF)
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150 inline bool xisinf (float x)
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151 { return std::isinf (x); }
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152 #else
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153 extern OCTAVE_API bool xisinf (float x);
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154 #endif
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155
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156 extern OCTAVE_API bool octave_is_NA (float x);
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157 extern OCTAVE_API bool octave_is_NaN_or_NA (float x) GCC_ATTR_DEPRECATED;
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158
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159 inline float
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160 xmin (float x, float y)
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161 {
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162 return xisnan (y) ? x : (x <= y ? x : y);
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163 }
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164
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165 inline float
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166 xmax (float x, float y)
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167 {
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168 return xisnan (y) ? x : (x >= y ? x : y);
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169 }
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170
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171 extern OCTAVE_API FloatComplex acos (const FloatComplex& x);
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172 extern OCTAVE_API FloatComplex acosh (const FloatComplex& x);
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173 extern OCTAVE_API FloatComplex asin (const FloatComplex& x);
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174 extern OCTAVE_API FloatComplex asinh (const FloatComplex& x);
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175 extern OCTAVE_API FloatComplex atan (const FloatComplex& x);
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176 extern OCTAVE_API FloatComplex atanh (const FloatComplex& x);
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177
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178 extern OCTAVE_API bool octave_is_NA (const FloatComplex& x);
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179 extern OCTAVE_API bool octave_is_NaN_or_NA (const FloatComplex& x);
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180
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181 extern OCTAVE_API FloatComplex xmin (const FloatComplex& x,
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182 const FloatComplex& y);
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183 extern OCTAVE_API FloatComplex xmax (const FloatComplex& x,
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184 const FloatComplex& y);
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185
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186 // These map reals to Complex.
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187
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188 extern OCTAVE_API Complex rc_acos (double);
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189 extern OCTAVE_API FloatComplex rc_acos (float);
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190 extern OCTAVE_API Complex rc_acosh (double);
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191 extern OCTAVE_API FloatComplex rc_acosh (float);
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192 extern OCTAVE_API Complex rc_asin (double);
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193 extern OCTAVE_API FloatComplex rc_asin (float);
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194 extern OCTAVE_API Complex rc_atanh (double);
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195 extern OCTAVE_API FloatComplex rc_atanh (float);
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196 extern OCTAVE_API Complex rc_log (double);
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197 extern OCTAVE_API FloatComplex rc_log (float);
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198 extern OCTAVE_API Complex rc_log2 (double);
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199 extern OCTAVE_API FloatComplex rc_log2 (float);
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200 extern OCTAVE_API Complex rc_log10 (double);
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201 extern OCTAVE_API FloatComplex rc_log10 (float);
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202 extern OCTAVE_API Complex rc_sqrt (double);
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203 extern OCTAVE_API FloatComplex rc_sqrt (float);
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204
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205 // Some useful tests, that are commonly repeated.
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206 // Test for a finite integer.
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207 inline bool
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208 xisinteger (double x)
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209 {
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210 return xfinite (x) && x == xround (x);
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211 }
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212
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213 inline bool
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214 xisinteger (float x)
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215 {
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216 return xfinite (x) && x == xround (x);
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217 }
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218
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219 // Test for negative sign.
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220 extern OCTAVE_API bool xnegative_sign (double x);
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221 extern OCTAVE_API bool xnegative_sign (float x);
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222
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223 // Test for positive sign.
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224 inline bool xpositive_sign (double x) { return ! xnegative_sign (x); }
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225 inline bool xpositive_sign (float x) { return ! xnegative_sign (x); }
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226
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227 // Some old rounding functions.
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228
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229 extern OCTAVE_API octave_idx_type NINTbig (double x);
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230 extern OCTAVE_API octave_idx_type NINTbig (float x);
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231
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232 extern OCTAVE_API int NINT (double x);
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233 extern OCTAVE_API int NINT (float x);
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234
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235 template <typename T>
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236 T
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237 X_NINT (T x)
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238 {
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239 return (xfinite (x) ? xfloor (x + 0.5) : x);
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240 }
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241
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242 inline OCTAVE_API double D_NINT (double x) { return X_NINT (x); }
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243 inline OCTAVE_API float F_NINT (float x) { return X_NINT (x); }
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244
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245 // Template functions can have either float or double arguments.
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246
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247 template <typename T>
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248 bool
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249 xisnan (const std::complex<T>& x)
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250 {
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251 return (xisnan (real (x)) || xisnan (imag (x)));
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252 }
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253
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254 template <typename T>
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255 bool
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256 xfinite (const std::complex<T>& x)
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257 {
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258 return (xfinite (real (x)) && xfinite (imag (x)));
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259 }
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260
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261 template <typename T>
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262 bool
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263 xisinf (const std::complex<T>& x)
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264 {
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265 return (xisinf (real (x)) || xisinf (imag (x)));
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266 }
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267
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268 template <typename T>
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269 std::complex<T>
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270 fix (const std::complex<T>& x)
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271 {
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272 return std::complex<T> (fix (real (x)), fix (imag (x)));
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273 }
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274
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275 template <typename T>
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276 std::complex<T>
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277 ceil (const std::complex<T>& x)
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278 {
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279 return std::complex<T> (xceil (real (x)), xceil (imag (x)));
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280 }
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281
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282 template <typename T>
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283 std::complex<T>
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284 floor (const std::complex<T>& x)
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285 {
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286 return std::complex<T> (xfloor (real (x)), xfloor (imag (x)));
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287 }
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288
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289 template <typename T>
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290 std::complex<T>
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291 xround (const std::complex<T>& x)
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292 {
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293 return std::complex<T> (xround (real (x)), xround (imag (x)));
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294 }
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295
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296 template <typename T>
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297 std::complex<T>
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298 xroundb (const std::complex<T>& x)
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299 {
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300 return std::complex<T> (xroundb (real (x)), xroundb (imag (x)));
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301 }
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302
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303 template <typename T>
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304 std::complex<T>
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305 signum (const std::complex<T>& x)
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306 {
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307 T tmp = abs (x);
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308
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309 return tmp == 0 ? 0.0 : x / tmp;
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310 }
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311
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312 template <typename T>
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313 T
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314 xmod (T x, T y)
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315 {
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316 T retval;
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317
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318 if (y == 0)
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319 retval = x;
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320 else
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321 {
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322 T q = x / y;
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323
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324 if (X_NINT (y) != y
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325 && (std::abs ((q - X_NINT (q)) / X_NINT (q))
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326 < std::numeric_limits<T>::epsilon ()))
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327 retval = 0;
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328 else
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329 {
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330 T n = xfloor (q);
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331
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332 // Prevent use of extra precision.
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333 volatile T tmp = y * n;
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334
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335 retval = x - tmp;
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336 }
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337 }
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338
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339 if (x != y && y != 0 && retval != 0)
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340 retval = xcopysign (retval, y);
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341
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342 return retval;
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343 }
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344
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345 template <typename T>
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346 T
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347 xrem (T x, T y)
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348 {
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349 T retval;
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350
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351 if (y == 0)
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352 retval = x;
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353 else
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354 {
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355 T q = x / y;
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356
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357 if (X_NINT (y) != y
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358 && (std::abs ((q - X_NINT (q)) / X_NINT (q))
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359 < std::numeric_limits<T>::epsilon ()))
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360 retval = 0;
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361 else
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362 {
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363 T n = xtrunc (q);
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364
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365 // Prevent use of extra precision.
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366 volatile T tmp = y * n;
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367
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368 retval = x - tmp;
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369 }
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370 }
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371
11213
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372 if (x != y && y != 0 && retval != 0)
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373 retval = xcopysign (retval, x);
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374
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375 return retval;
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376 }
11010
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377
15487
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378 template <typename T>
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379 T
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380 xsignbit (T x)
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381 {
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382 return signbit (x);
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383 }
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384
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
385 #endif