annotate liboctave/numeric/lo-mappers.h @ 20595:c1a6c31ac29a

eliminate more simple uses of error_state * ov-classdef.cc: Eliminate simple uses of error_state.
author John W. Eaton <jwe@octave.org>
date Tue, 06 Oct 2015 00:20:02 -0400
parents 0cefba1a1030
children
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1 /*
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2
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3 Copyright (C) 1996-2015 John W. Eaton
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4 Copyright (C) 2010 VZLU Prague
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #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 #include "lo-ieee.h"
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32
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33 // Double Precision
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34 extern OCTAVE_API double xtrunc (double x);
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35 extern OCTAVE_API double xcopysign (double x, double y);
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36 inline double xceil (double x) { return ceil (x); }
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37 extern OCTAVE_API double xfloor (double x);
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38 inline double arg (double x) { return atan2 (0.0, x); }
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39 inline double conj (double x) { return x; }
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40 inline double fix (double x) { return xtrunc (x); }
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41 inline double imag (double) { return 0.0; }
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42 inline double real (double x) { return x; }
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43 extern OCTAVE_API double xround (double x);
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44 extern OCTAVE_API double xroundb (double x);
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45 extern OCTAVE_API double signum (double x);
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46 extern OCTAVE_API double xlog2 (double x);
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47 extern OCTAVE_API Complex xlog2 (const Complex& x);
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48 extern OCTAVE_API double xlog2 (double x, int& exp);
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49 extern OCTAVE_API Complex xlog2 (const Complex& x, int& exp);
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50 extern OCTAVE_API double xexp2 (double x);
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51
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52 // These are used by the BOOL_OP macros in mx-op-defs.h.
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53 inline bool xisnan (bool) { return false; }
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54 inline bool xisnan (char) { return false; }
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55
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56 #if defined (HAVE_CMATH_ISNAN)
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57 inline bool xisnan (double x)
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58 { return std::isnan (x); }
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59 #else
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60 extern OCTAVE_API bool xisnan (double x);
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61 #endif
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62 #if defined (HAVE_CMATH_ISFINITE)
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63 inline bool xfinite (double x)
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64 { return std::isfinite (x); }
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65 #else
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66 extern OCTAVE_API bool xfinite (double x);
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67 #endif
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68 #if defined (HAVE_CMATH_ISINF)
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69 inline bool xisinf (double x)
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70 { return std::isinf (x); }
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71 #else
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72 extern OCTAVE_API bool xisinf (double x);
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73 #endif
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74
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75 extern OCTAVE_API bool octave_is_NA (double x);
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76
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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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104
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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
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158 inline float
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159 xmin (float x, float y)
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160 {
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161 return xisnan (y) ? x : (x <= y ? x : y);
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162 }
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163
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164 inline float
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165 xmax (float x, float y)
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166 {
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167 return xisnan (y) ? x : (x >= y ? x : y);
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168 }
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169
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170 extern OCTAVE_API FloatComplex acos (const FloatComplex& x);
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171 extern OCTAVE_API FloatComplex acosh (const FloatComplex& x);
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172 extern OCTAVE_API FloatComplex asin (const FloatComplex& x);
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173 extern OCTAVE_API FloatComplex asinh (const FloatComplex& x);
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174 extern OCTAVE_API FloatComplex atan (const FloatComplex& x);
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175 extern OCTAVE_API FloatComplex atanh (const FloatComplex& x);
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176
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177 extern OCTAVE_API bool octave_is_NA (const FloatComplex& x);
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178 extern OCTAVE_API bool octave_is_NaN_or_NA (const FloatComplex& x);
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179
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180 extern OCTAVE_API FloatComplex xmin (const FloatComplex& x,
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181 const FloatComplex& y);
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182 extern OCTAVE_API FloatComplex xmax (const FloatComplex& x,
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183 const FloatComplex& y);
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184
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185 // These map reals to Complex.
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186
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187 extern OCTAVE_API Complex rc_acos (double);
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188 extern OCTAVE_API FloatComplex rc_acos (float);
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189 extern OCTAVE_API Complex rc_acosh (double);
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190 extern OCTAVE_API FloatComplex rc_acosh (float);
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191 extern OCTAVE_API Complex rc_asin (double);
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192 extern OCTAVE_API FloatComplex rc_asin (float);
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193 extern OCTAVE_API Complex rc_atanh (double);
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194 extern OCTAVE_API FloatComplex rc_atanh (float);
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195 extern OCTAVE_API Complex rc_log (double);
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196 extern OCTAVE_API FloatComplex rc_log (float);
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197 extern OCTAVE_API Complex rc_log2 (double);
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198 extern OCTAVE_API FloatComplex rc_log2 (float);
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199 extern OCTAVE_API Complex rc_log10 (double);
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200 extern OCTAVE_API FloatComplex rc_log10 (float);
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201 extern OCTAVE_API Complex rc_sqrt (double);
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202 extern OCTAVE_API FloatComplex rc_sqrt (float);
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203
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204 // Some useful tests, that are commonly repeated.
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205 // Test for a finite integer.
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206 inline bool
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207 xisinteger (double x)
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208 {
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209 return xfinite (x) && x == xround (x);
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210 }
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211
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212 inline bool
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213 xisinteger (float x)
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214 {
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215 return xfinite (x) && x == xround (x);
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216 }
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217
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218 // Test for negative sign.
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219 extern OCTAVE_API bool xnegative_sign (double x);
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220 extern OCTAVE_API bool xnegative_sign (float x);
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221
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222 // Test for positive sign.
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223 inline bool xpositive_sign (double x) { return ! xnegative_sign (x); }
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224 inline bool xpositive_sign (float x) { return ! xnegative_sign (x); }
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225
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226 // Some old rounding functions.
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227
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228 extern OCTAVE_API octave_idx_type NINTbig (double x);
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229 extern OCTAVE_API octave_idx_type NINTbig (float x);
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230
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231 extern OCTAVE_API int NINT (double x);
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232 extern OCTAVE_API int NINT (float x);
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233
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234 template <typename T>
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235 T
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236 X_NINT (T x)
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237 {
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238 return (xfinite (x) ? xfloor (x + 0.5) : x);
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239 }
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240
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241 inline OCTAVE_API double D_NINT (double x) { return X_NINT (x); }
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242 inline OCTAVE_API float F_NINT (float x) { return X_NINT (x); }
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243
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244 // Template functions can have either float or double arguments.
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245
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246 template <typename T>
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247 bool
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248 xisnan (const std::complex<T>& x)
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249 {
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250 return (xisnan (real (x)) || xisnan (imag (x)));
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251 }
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252
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253 template <typename T>
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254 bool
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255 xfinite (const std::complex<T>& x)
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256 {
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257 return (xfinite (real (x)) && xfinite (imag (x)));
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258 }
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259
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260 template <typename T>
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261 bool
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262 xisinf (const std::complex<T>& x)
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263 {
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264 return (xisinf (real (x)) || xisinf (imag (x)));
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265 }
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266
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267 template <typename T>
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268 std::complex<T>
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269 fix (const std::complex<T>& x)
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270 {
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271 return std::complex<T> (fix (real (x)), fix (imag (x)));
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272 }
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273
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274 template <typename T>
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275 std::complex<T>
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276 ceil (const std::complex<T>& x)
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277 {
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278 return std::complex<T> (xceil (real (x)), xceil (imag (x)));
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279 }
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280
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281 template <typename T>
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282 std::complex<T>
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283 floor (const std::complex<T>& x)
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284 {
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285 return std::complex<T> (xfloor (real (x)), xfloor (imag (x)));
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286 }
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287
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288 template <typename T>
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289 std::complex<T>
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290 xround (const std::complex<T>& x)
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291 {
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292 return std::complex<T> (xround (real (x)), xround (imag (x)));
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293 }
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294
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295 template <typename T>
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296 std::complex<T>
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297 xroundb (const std::complex<T>& x)
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298 {
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299 return std::complex<T> (xroundb (real (x)), xroundb (imag (x)));
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300 }
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301
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302 template <typename T>
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303 std::complex<T>
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304 signum (const std::complex<T>& x)
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305 {
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306 T tmp = abs (x);
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307
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308 return tmp == 0 ? 0.0 : x / tmp;
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309 }
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310
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311 template <typename T>
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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
18903
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323 if (X_NINT (y) != y
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324 && (std::abs ((q - X_NINT (q)) / X_NINT (q))
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325 < std::numeric_limits<T>::epsilon ()))
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326 retval = 0;
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327 else
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328 {
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329 T n = xfloor (q);
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330
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331 // Prevent use of extra precision.
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332 volatile T tmp = y * n;
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333
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334 retval = x - tmp;
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335 }
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336 }
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337
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338 if (x != y && y != 0)
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339 retval = xcopysign (retval, y);
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340
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341 return retval;
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342 }
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343
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344 template <typename T>
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345 T
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346 xrem (T x, T y)
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347 {
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348 T retval;
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349
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350 if (y == 0)
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351 retval = octave_NaN;
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352 else
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353 {
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354 T q = x / y;
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355
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356 if (X_NINT (y) != y
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357 && (std::abs ((q - X_NINT (q)) / X_NINT (q))
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358 < std::numeric_limits<T>::epsilon ()))
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359 retval = 0;
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360 else
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361 {
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362 T n = xtrunc (q);
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363
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364 // Prevent use of extra precision.
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365 volatile T tmp = y * n;
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366
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367 retval = x - tmp;
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368 }
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369 }
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370
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371 if (x != y && y != 0)
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372 retval = xcopysign (retval, x);
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373
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374 return retval;
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375 }
11010
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376
15487
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377 template <typename T>
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378 T
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379 xsignbit (T x)
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380 {
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381 return signbit (x);
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382 }
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diff changeset
383
1967
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
jwe
parents:
diff changeset
384 #endif