Mercurial > hg > octave-nkf
annotate liboctave/numeric/lo-mappers.h @ 20750:3339c9bdfe6a
Activate FSAL property in dorpri timestepper
* scripts/ode/private/runge_kutta_45_dorpri.m: don't compute
first stage if values from previous iteration are passed.
* scripts/ode/private/integrate_adaptive.m: do not update
cmputed stages if timestep is rejected.
author | Carlo de Falco <carlo.defalco@polimi.it> |
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date | Sat, 03 Oct 2015 07:32:50 +0200 |
parents | 0cefba1a1030 |
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rev | line source |
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1967 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
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4 Copyright (C) 2010 VZLU Prague |
1967 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
1967 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
1967 | 21 |
22 */ | |
23 | |
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24 #if !defined (octave_lo_mappers_h) |
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25 #define octave_lo_mappers_h 1 |
1967 | 26 |
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27 #include <limits> |
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28 |
1967 | 29 #include "oct-cmplx.h" |
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30 #include "lo-math.h" |
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31 #include "lo-ieee.h" |
1967 | 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); |
6108 | 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); |
7740 | 48 extern OCTAVE_API double xlog2 (double x, int& exp); |
49 extern OCTAVE_API Complex xlog2 (const Complex& x, int& exp); | |
6108 | 50 extern OCTAVE_API double xexp2 (double x); |
1967 | 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 |
6108 | 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 |
6108 | 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 |
6108 | 72 extern OCTAVE_API bool xisinf (double x); |
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73 #endif |
3248 | 74 |
6108 | 75 extern OCTAVE_API bool octave_is_NA (double x); |
4025 | 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 } |
1967 | 104 |
6108 | 105 extern OCTAVE_API Complex acos (const Complex& x); |
106 extern OCTAVE_API Complex acosh (const Complex& x); | |
107 extern OCTAVE_API Complex asin (const Complex& x); | |
108 extern OCTAVE_API Complex asinh (const Complex& x); | |
109 extern OCTAVE_API Complex atan (const Complex& x); | |
110 extern OCTAVE_API Complex atanh (const Complex& x); | |
3777 | 111 |
6108 | 112 extern OCTAVE_API bool octave_is_NA (const Complex& x); |
113 extern OCTAVE_API bool octave_is_NaN_or_NA (const Complex& x); | |
4469 | 114 |
6108 | 115 extern OCTAVE_API Complex xmin (const Complex& x, const Complex& y); |
116 extern OCTAVE_API Complex xmax (const Complex& x, const Complex& y); | |
3248 | 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 |
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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 } |
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376 |
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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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383 |
1967 | 384 #endif |