Mercurial > hg > octave-lyh
annotate liboctave/util/oct-inttypes.h @ 17297:4d7f95eb8bfe
doc: Miscellaneous small tweaks to documentation for consistency.
* doc/interpreter/external.txi: Don't group EXAMPLEFILEs which are longer than
20 lines.
* doc/interpreter/oop.txi: Don't group EXAMPLEFILEs which are longer than
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* doc/interpreter/octave.texi: Eliminate trailing whitespace.
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* examples/mysparse.c: Eliminate trailing whitespace.
* scripts/miscellaneous/compare_versions.m: use @qcode macro.
* scripts/plot/gnuplot_binary.in: use @qcode macro.
* scripts/statistics/tests/kruskal_wallis_test.m: use @cite macro.
author | Rik <rik@octave.org> |
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date | Tue, 20 Aug 2013 09:25:35 -0700 |
parents | 648dabbb4c6b |
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rev | line source |
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4902 | 1 /* |
2 | |
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maint: update copyright notices for 2012
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3 Copyright (C) 2004-2012 John W. Eaton |
11523 | 4 Copyright (C) 2008-2009 Jaroslav Hajek |
4902 | 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. | |
4902 | 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/>. | |
4902 | 21 |
22 */ | |
23 | |
24 #if !defined (octave_inttypes_h) | |
25 #define octave_inttypes_h 1 | |
26 | |
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27 #include <cstdlib> |
6482 | 28 |
4902 | 29 #include <limits> |
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30 #include <iosfwd> |
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32 #include "lo-traits.h" |
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33 #include "lo-math.h" |
4969 | 34 #include "lo-mappers.h" |
4902 | 35 |
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36 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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37 inline long double xround (long double x) { return roundl (x); } |
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38 inline long double xisnan (long double x) { return xisnan (static_cast<double> (x)); } |
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39 #endif |
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40 |
8333 | 41 // FIXME -- we define this by our own because some compilers, such as |
42 // MSVC, do not provide std::abs (int64_t) and std::abs (uint64_t). In | |
43 // the future, it should go away in favor of std::abs. | |
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44 template <class T> |
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45 inline T octave_int_abs (T x) { return x >= 0 ? x : -x; } |
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46 |
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47 // Query for an integer type of certain sizeof, and signedness. |
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48 template<int qsize, bool qsigned> |
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49 struct query_integer_type |
4902 | 50 { |
51 public: | |
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52 static const bool registered = false; |
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53 typedef void type; // Void shall result in a compile-time error if we |
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54 // attempt to use it in computations. |
4902 | 55 }; |
56 | |
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57 #define REGISTER_INT_TYPE(TYPE) \ |
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58 template <> \ |
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59 class query_integer_type<sizeof (TYPE), std::numeric_limits<TYPE>::is_signed> \ |
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60 { \ |
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61 public: \ |
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62 static const bool registered = true; \ |
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63 typedef TYPE type; \ |
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64 } |
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65 |
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66 // No two registered integers can share sizeof and signedness. |
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67 REGISTER_INT_TYPE (int8_t); |
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68 REGISTER_INT_TYPE (uint8_t); |
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69 REGISTER_INT_TYPE (int16_t); |
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70 REGISTER_INT_TYPE (uint16_t); |
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71 REGISTER_INT_TYPE (int32_t); |
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72 REGISTER_INT_TYPE (uint32_t); |
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73 REGISTER_INT_TYPE (int64_t); |
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74 REGISTER_INT_TYPE (uint64_t); |
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75 |
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76 // Rationale: Comparators have a single static method, rel(), that returns the |
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77 // result of the binary relation. They also have two static boolean fields: |
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78 // ltval, gtval determine the value of x OP y if x < y, x > y, respectively. |
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79 #define REGISTER_OCTAVE_CMP_OP(NM,OP) \ |
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80 class NM \ |
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81 { \ |
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82 public: \ |
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83 static const bool ltval = (0 OP 1), gtval = (1 OP 0); \ |
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84 template <class T> \ |
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85 static bool op (T x, T y) { return x OP y; } \ |
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86 } |
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87 |
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88 // We also provide two special relations: ct, yielding always true, and cf, |
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89 // yielding always false. |
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90 #define REGISTER_OCTAVE_CONST_OP(NM,value) \ |
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91 class NM \ |
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92 { \ |
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93 public: \ |
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94 static const bool ltval = value, gtval = value; \ |
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95 template <class T> \ |
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96 static bool op (T, T) { return value; } \ |
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97 } |
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99 // Handles non-homogeneous integer comparisons. Avoids doing useless tests. |
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100 class octave_int_cmp_op |
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101 { |
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102 // This determines a suitable promotion type for T1 when meeting T2 in a |
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103 // binary relation. If promotion to int or T2 is safe, it is used. Otherwise, |
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104 // the signedness of T1 is preserved and it is widened if T2 is wider. |
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105 // Notice that if this is applied to both types, they must end up with equal |
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106 // size. |
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107 template <class T1, class T2> |
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108 class prom |
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109 { |
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110 // Promote to int? |
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111 static const bool pint = (sizeof (T1) < sizeof (int) |
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112 && sizeof (T2) < sizeof (int)); |
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113 static const bool t1sig = std::numeric_limits<T1>::is_signed; |
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114 static const bool t2sig = std::numeric_limits<T2>::is_signed; |
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115 static const bool psig = |
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116 (pint || (sizeof (T2) > sizeof (T1) && t2sig) || t1sig); |
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117 static const int psize = |
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118 (pint ? sizeof (int) : (sizeof (T2) > sizeof (T1) |
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119 ? sizeof (T2) : sizeof (T1))); |
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120 public: |
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121 typedef typename query_integer_type<psize, psig>::type type; |
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122 }; |
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124 // Implements comparisons between two types of equal size but |
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125 // possibly different signedness. |
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126 template<class xop, int size> |
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127 class uiop |
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128 { |
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129 typedef typename query_integer_type<size, false>::type utype; |
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130 typedef typename query_integer_type<size, true>::type stype; |
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131 public: |
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132 static bool op (utype x, utype y) |
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133 { return xop::op (x, y); } |
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134 static bool op (stype x, stype y) |
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135 { return xop::op (x, y); } |
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136 static bool op (stype x, utype y) |
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137 { return (x < 0) ? xop::ltval : xop::op (static_cast<utype> (x), y); } |
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138 static bool op (utype x, stype y) |
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139 { return (y < 0) ? xop::gtval : xop::op (x, static_cast<utype> (y)); } |
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140 }; |
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142 public: |
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143 REGISTER_OCTAVE_CMP_OP (lt, <); |
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144 REGISTER_OCTAVE_CMP_OP (le, <=); |
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145 REGISTER_OCTAVE_CMP_OP (gt, >); |
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146 REGISTER_OCTAVE_CMP_OP (ge, >=); |
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147 REGISTER_OCTAVE_CMP_OP (eq, ==); |
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148 REGISTER_OCTAVE_CMP_OP (ne, !=); |
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149 REGISTER_OCTAVE_CONST_OP (ct, true); |
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150 REGISTER_OCTAVE_CONST_OP (cf, false); |
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151 |
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152 // Universal comparison operation. |
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153 template<class xop, class T1, class T2> |
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154 static bool |
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155 op (T1 x, T2 y) |
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156 { |
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157 typedef typename prom<T1, T2>::type PT1; |
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158 typedef typename prom<T2, T1>::type PT2; |
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159 return uiop<xop, sizeof (PT1)>::op (static_cast<PT1> (x), |
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160 static_cast<PT2> (y)); |
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161 } |
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162 |
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163 public: |
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164 |
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165 // Mixed comparisons |
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166 template <class xop, class T> |
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167 static bool |
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168 mop (T x, double y) |
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169 { return xop::op (static_cast<double> (x), y); } |
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170 |
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171 template <class xop, class T> |
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172 static bool |
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173 mop (double x, T y) |
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174 { return xop::op (x, static_cast<double> (y)); } |
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175 |
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176 // Typecasting to doubles won't work properly for 64-bit integers - they lose precision. |
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177 // If we have long doubles, use them... |
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178 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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179 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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180 template <class xop> \ |
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181 static bool \ |
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182 mop (T1 x, T2 y) \ |
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183 { \ |
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184 return xop::op (static_cast<long double> (x), \ |
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185 static_cast<long double> (y)); \ |
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186 } |
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187 #else |
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188 // ... otherwise, use external handlers |
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189 |
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190 // FIXME: We could declare directly the mop methods as external, |
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191 // but we can't do this because bugs in gcc (<= 4.3) prevent |
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192 // explicit instantiations later in that case. |
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193 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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194 template <class xop> static OCTAVE_API bool \ |
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195 emulate_mop (T1, T2); \ |
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196 template <class xop> \ |
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197 static bool \ |
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198 mop (T1 x, T2 y) \ |
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199 { \ |
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200 return emulate_mop<xop> (x, y); \ |
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201 } |
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202 #endif |
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203 |
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204 DEFINE_LONG_DOUBLE_CMP_OP(double, uint64_t) |
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205 DEFINE_LONG_DOUBLE_CMP_OP(double, int64_t) |
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206 DEFINE_LONG_DOUBLE_CMP_OP(int64_t, double) |
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207 DEFINE_LONG_DOUBLE_CMP_OP(uint64_t, double) |
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208 |
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209 #undef DEFINE_LONG_DOUBLE_CMP_OP |
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210 }; |
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211 |
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212 // Base integer class. No data, just conversion methods and exception flags. |
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213 template <class T> |
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214 class octave_int_base |
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215 { |
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216 protected: |
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217 |
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218 static T min_val () { return std::numeric_limits<T>:: min (); } |
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219 static T max_val () { return std::numeric_limits<T>:: max (); } |
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221 public: |
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222 |
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223 // Convert integer value. |
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224 template <class S> |
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225 static T |
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226 truncate_int (const S& value) |
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227 { |
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228 // An exhaustive test whether the max and/or min check can be omitted. |
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229 static const bool t_is_signed = std::numeric_limits<T>::is_signed; |
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230 static const bool s_is_signed = std::numeric_limits<S>::is_signed; |
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231 static const int t_size = sizeof (T), s_size = sizeof (S); |
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232 static const bool omit_chk_min = |
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233 (! s_is_signed || (t_is_signed && t_size >= s_size)); |
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234 static const bool omit_chk_max = |
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235 (t_size > s_size || (t_size == s_size |
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236 && (! t_is_signed || s_is_signed))); |
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237 // If the check can be omitted, substitute constant false relation. |
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238 typedef octave_int_cmp_op::cf cf; |
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239 typedef octave_int_cmp_op::lt lt; |
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240 typedef octave_int_cmp_op::gt gt; |
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241 typedef typename if_then_else<omit_chk_min, cf, lt>::result chk_min; |
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242 typedef typename if_then_else<omit_chk_max, cf, gt>::result chk_max; |
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244 // Efficiency of the following depends on inlining and dead code |
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245 // elimination, but that should be a piece of cake for most compilers. |
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246 if (chk_min::op (value, static_cast<S> (min_val ()))) |
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247 { |
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248 return min_val (); |
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249 } |
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250 else if (chk_max::op (value, static_cast<S> (max_val ()))) |
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251 { |
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252 return max_val (); |
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253 } |
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254 else |
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255 return static_cast<T> (value); |
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256 } |
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258 private: |
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259 |
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260 // Computes a real-valued threshold for a max/min check. |
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261 template <class S> |
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262 static S |
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263 compute_threshold (S val, T orig_val) |
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264 { |
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265 val = xround (val); // Fool optimizations (maybe redundant) |
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266 // If val is even, but orig_val is odd, we're one unit off. |
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267 if (orig_val % 2 && val / 2 == xround (val / 2)) |
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269 val *= (static_cast<S>(1) - (std::numeric_limits<S>::epsilon () / 2)); |
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270 return val; |
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271 } |
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272 |
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273 public: |
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274 // Convert a real number (check NaN and non-int). |
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275 template <class S> |
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276 static T |
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277 convert_real (const S& value) |
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278 { |
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279 // Compute proper thresholds. |
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280 static const S thmin = compute_threshold (static_cast<S> (min_val ()), min_val ()); |
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281 static const S thmax = compute_threshold (static_cast<S> (max_val ()), max_val ()); |
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282 if (xisnan (value)) |
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283 { |
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284 return static_cast<T> (0); |
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285 } |
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286 else if (value < thmin) |
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287 { |
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288 return min_val (); |
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289 } |
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290 else if (value > thmax) |
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291 { |
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292 return max_val (); |
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293 } |
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294 else |
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295 { |
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296 S rvalue = xround (value); |
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297 return static_cast<T> (rvalue); |
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298 } |
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299 } |
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300 }; |
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301 |
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302 // Saturated (homogeneous) integer arithmetics. The signed and unsigned |
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303 // implementations are significantly different, so we implement another layer |
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304 // and completely specialize. Arithmetics inherits from octave_int_base so that |
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305 // it can use its exceptions and truncation functions. |
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306 |
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307 template <class T, bool is_signed> |
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308 class octave_int_arith_base |
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309 { }; |
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310 |
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311 // Unsigned arithmetics. C++ standard requires it to be modular, so the |
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312 // overflows can be handled efficiently and reliably. |
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313 template <class T> |
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314 class octave_int_arith_base<T, false> : octave_int_base<T> |
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315 { |
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316 public: |
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317 |
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318 static T |
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319 abs (T x) { return x; } |
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320 |
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321 static T |
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322 signum (T x) { return x ? static_cast<T> (1) : static_cast<T> (0); } |
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323 |
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324 // Shifts do not overflow. |
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325 static T |
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326 rshift (T x, int n) { return x >> n; } |
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327 |
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328 static T |
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329 lshift (T x, int n) { return x << n; } |
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330 |
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331 static T |
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332 minus (T) |
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333 { |
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334 return static_cast<T> (0); |
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335 } |
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336 |
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337 // the overflow behaviour for unsigned integers is guaranteed by C/C++, |
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338 // so the following should always work. |
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339 static T |
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340 add (T x, T y) |
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341 { |
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342 T u = x + y; |
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343 if (u < x) |
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344 { |
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345 u = octave_int_base<T>::max_val (); |
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346 } |
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347 return u; |
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348 } |
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349 |
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350 static T |
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351 sub (T x, T y) |
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352 { |
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353 T u = x - y; |
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354 if (u > x) |
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355 { |
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356 u = 0; |
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357 } |
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358 return u; |
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359 } |
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360 |
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361 // Multiplication is done using promotion to wider integer type. If there is |
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362 // no suitable promotion type, this operation *MUST* be specialized. |
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363 static T |
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364 mul (T x, T y) |
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365 { |
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366 // Promotion type for multiplication (if exists). |
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367 typedef typename query_integer_type<2*sizeof (T), false>::type mptype; |
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368 return octave_int_base<T>::truncate_int (static_cast<mptype> (x) |
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369 * static_cast<mptype> (y)); |
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370 } |
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371 |
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372 // Division with rounding to nearest. Note that / and % are probably |
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373 // computed by a single instruction. |
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374 static T |
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375 div (T x, T y) |
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376 { |
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377 if (y != 0) |
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378 { |
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379 T z = x / y, w = x % y; |
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380 if (w >= y-w) z += 1; |
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381 return z; |
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382 } |
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383 else |
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384 { |
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385 return x ? octave_int_base<T>::max_val () : 0; |
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386 } |
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387 } |
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388 |
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389 // Remainder. |
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390 static T |
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391 rem (T x, T y) |
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392 { |
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393 return y != 0 ? x % y : 0; |
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394 } |
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395 |
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396 // Modulus. Note the weird y = 0 case for Matlab compatibility. |
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397 static T |
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398 mod (T x, T y) |
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399 { |
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400 return y != 0 ? x % y : x; |
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401 } |
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402 }; |
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403 |
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404 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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405 // Handle 64-bit multiply using long double |
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406 template <> |
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407 inline uint64_t |
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408 octave_int_arith_base<uint64_t, false>:: mul (uint64_t x, uint64_t y) |
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409 { |
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410 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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411 if (p > static_cast<long double> (octave_int_base<uint64_t>::max_val ())) |
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412 { |
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413 return octave_int_base<uint64_t>::max_val (); |
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414 } |
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415 else |
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416 return static_cast<uint64_t> (p); |
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417 } |
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418 #else |
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419 // Special handler for 64-bit integer multiply. |
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420 template <> |
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421 OCTAVE_API uint64_t |
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422 octave_int_arith_base<uint64_t, false>::mul (uint64_t, uint64_t); |
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423 #endif |
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424 |
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425 // Signed integer arithmetics. |
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426 // Rationale: If HAVE_FAST_INT_OPS is defined, the following conditions |
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427 // should hold: |
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428 // 1. Signed numbers are represented by twos complement |
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429 // (see <http://en.wikipedia.org/wiki/Two%27s_complement>) |
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430 // 2. static_cast to unsigned int counterpart works like interpreting |
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431 // the signed bit pattern as unsigned (and is thus zero-cost). |
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432 // 3. Signed addition and subtraction yield the same bit results as unsigned. |
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433 // (We use casts to prevent optimization interference, so there is no |
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434 // need for things like -ftrapv). |
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435 // 4. Bit operations on signed integers work like on unsigned integers, |
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436 // except for the shifts. Shifts are arithmetic. |
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437 // |
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438 // The above conditions are satisfied by most modern platforms. If |
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439 // HAVE_FAST_INT_OPS is defined, bit tricks and wraparound arithmetics are used |
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440 // to avoid conditional jumps as much as possible, thus being friendly to modern |
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441 // pipeline processor architectures. |
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442 // Otherwise, we fall back to a bullet-proof code that only uses assumptions |
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443 // guaranteed by the standard. |
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444 |
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445 template <class T> |
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446 class octave_int_arith_base<T, true> : octave_int_base<T> |
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447 { |
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448 // The corresponding unsigned type. |
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449 typedef typename query_integer_type<sizeof (T), false>::type UT; |
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450 public: |
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451 |
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452 // Returns 1 for negative number, 0 otherwise. |
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453 static T |
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454 __signbit (T x) |
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455 { |
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456 #ifdef HAVE_FAST_INT_OPS |
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457 return static_cast<UT> (x) >> std::numeric_limits<T>::digits; |
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458 #else |
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459 return (x < 0) ? 1 : 0; |
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460 #endif |
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461 } |
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462 |
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463 static T |
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464 abs (T x) |
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465 { |
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466 #ifdef HAVE_FAST_INT_OPS |
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467 // This is close to how GCC does std::abs, but we can't just use std::abs, |
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468 // because its behaviour for INT_MIN is undefined and the compiler could |
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469 // discard the following test. |
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470 T m = x >> std::numeric_limits<T>::digits; |
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471 T y = (x ^ m) - m; |
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472 if (y < 0) |
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473 { |
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474 y = octave_int_base<T>::max_val (); |
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475 } |
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476 return y; |
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477 #else |
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478 // -INT_MAX is safe because C++ actually allows only three implementations |
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479 // of integers: sign & magnitude, ones complement and twos complement. |
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480 // The first test will, with modest optimizations, evaluate at compile |
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481 // time, and maybe eliminate the branch completely. |
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482 T y; |
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483 if (octave_int_base<T>::min_val () < -octave_int_base<T>::max_val () |
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484 && x == octave_int_base<T>::min_val ()) |
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485 { |
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486 y = octave_int_base<T>::max_val (); |
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487 } |
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488 else |
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489 y = (x < 0) ? -x : x; |
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490 return y; |
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491 #endif |
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492 } |
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493 |
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494 static T |
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495 signum (T x) |
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496 { |
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497 // With modest optimizations, this will compile without a jump. |
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498 return ((x > 0) ? 1 : 0) - __signbit (x); |
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499 } |
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500 |
8333 | 501 // FIXME -- we do not have an authority what signed shifts should |
502 // exactly do, so we define them the easy way. Note that Matlab does | |
503 // not define signed shifts. | |
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|
504 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
505 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
506 rshift (T x, int n) { return x >> n; } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
507 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
508 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
509 lshift (T x, int n) { return x << n; } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
510 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
511 // Minus has problems similar to abs. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
512 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
513 minus (T x) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
514 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
515 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
516 T y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
517 if (y == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
518 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
519 --y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
520 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
521 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
522 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
523 T y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
524 if (octave_int_base<T>::min_val () < -octave_int_base<T>::max_val () |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
525 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
526 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
527 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
528 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
529 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
530 y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
531 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
532 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
533 } |
7521
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
534 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
535 static T |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
536 add (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
537 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
538 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
539 // The typecasts do nothing, but they are here to prevent an optimizing |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
540 // compiler from interfering. Also, the signed operations on small types |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
541 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
542 T u = static_cast<UT> (x) + static_cast<UT> (y); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
543 T ux = u ^ x, uy = u ^ y; |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
544 if ((ux & uy) < 0) |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
545 { |
13734
28ddb3150943
Rename signbit to __signbit, until the problem is fixed in gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents:
13012
diff
changeset
|
546 u = octave_int_base<T>::max_val () + __signbit (~u); |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
547 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
548 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
549 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
550 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
551 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
552 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
553 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
554 if (x < octave_int_base<T>::min_val () - y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
555 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
556 u = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
557 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
558 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
559 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
560 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
561 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
562 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
563 if (x > octave_int_base<T>::max_val () - y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
564 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
565 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
566 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
567 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
568 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
569 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
570 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
571 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
572 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
573 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
574 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
575 // This is very similar to addition. |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
576 static T |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
577 sub (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
578 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
579 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
580 // The typecasts do nothing, but they are here to prevent an optimizing |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
581 // compiler from interfering. Also, the signed operations on small types |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
582 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
583 T u = static_cast<UT> (x) - static_cast<UT> (y); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
584 T ux = u ^ x, uy = u ^ ~y; |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
585 if ((ux & uy) < 0) |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
586 { |
13734
28ddb3150943
Rename signbit to __signbit, until the problem is fixed in gnulib.
Michael Goffioul <michael.goffioul@gmail.com>
parents:
13012
diff
changeset
|
587 u = octave_int_base<T>::max_val () + __signbit (~u); |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
588 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
589 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
590 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
591 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
592 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
593 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
594 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
595 if (x > octave_int_base<T>::max_val () + y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
596 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
597 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
598 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
599 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
600 u = x - y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
601 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
602 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
603 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
604 if (x < octave_int_base<T>::min_val () + y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
605 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
606 u = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
607 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
608 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
609 u = x - y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
610 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
611 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
612 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
613 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
614 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
615 |
8185
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
616 // Multiplication is done using promotion to wider integer type. If there is |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
617 // no suitable promotion type, this operation *MUST* be specialized. |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
618 static T |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
619 mul (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
620 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
621 // Promotion type for multiplication (if exists). |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
622 typedef typename query_integer_type<2*sizeof (T), true>::type mptype; |
14168
7ffd2a0791ef
fix name lookup problem with static nested class
John W. Eaton <jwe@octave.org>
parents:
14138
diff
changeset
|
623 return octave_int_base<T>::truncate_int (static_cast<mptype> (x) |
7ffd2a0791ef
fix name lookup problem with static nested class
John W. Eaton <jwe@octave.org>
parents:
14138
diff
changeset
|
624 * static_cast<mptype> (y)); |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
625 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
626 |
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627 // Division. |
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628 static T |
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629 div (T x, T y) |
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630 { |
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631 T z; |
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632 if (y == 0) |
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633 { |
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634 if (x < 0) |
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635 z = octave_int_base<T>::min_val (); |
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636 else if (x != 0) |
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637 z = octave_int_base<T>::max_val (); |
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638 else |
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639 z = 0; |
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640 } |
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641 else if (y < 0) |
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642 { |
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643 // This is a special case that overflows as well. |
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644 if (y == -1 && x == octave_int_base<T>::min_val ()) |
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645 { |
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646 z = octave_int_base<T>::max_val (); |
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647 } |
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648 else |
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649 { |
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650 z = x / y; |
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651 T w = -octave_int_abs (x % y); // Can't overflow, but std::abs (x) can! |
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652 if (w <= y - w) |
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653 z -= 1 - (__signbit (x) << 1); |
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654 } |
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655 } |
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656 else |
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657 { |
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658 z = x / y; |
8333 | 659 // FIXME -- this is a workaround due to MSVC's absence of |
660 // std::abs (int64_t). The call to octave_int_abs can't | |
661 // overflow, but std::abs (x) can! | |
10312
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|
662 T w = octave_int_abs (x % y); |
8333 | 663 |
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|
664 if (w >= y - w) |
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|
665 z += 1 - (__signbit (x) << 1); |
8169
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666 } |
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667 return z; |
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|
668 } |
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|
669 |
10436
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|
670 // Remainder. |
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671 static T |
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672 rem (T x, T y) |
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673 { |
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674 return y != 0 ? x % y : 0; |
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675 } |
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676 |
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677 // Modulus. Note the weird y = 0 case for Matlab compatibility. |
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|
678 static T |
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679 mod (T x, T y) |
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680 { |
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681 if (y != 0) |
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682 { |
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683 T r = x % y; |
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684 return ((r < 0) != (y < 0)) ? r + y : r; |
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685 } |
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686 else |
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|
687 return x; |
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|
688 } |
7521
6f10bbb2854a
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7503
diff
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|
689 }; |
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|
690 |
8185
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|
691 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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692 // Handle 64-bit multiply using long double |
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693 template <> |
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694 inline int64_t |
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695 octave_int_arith_base<int64_t, true>:: mul (int64_t x, int64_t y) |
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696 { |
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|
697 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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698 // NOTE: We could maybe do it with a single branch if HAVE_FAST_INT_OPS, but it |
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699 // would require one more runtime conversion, so the question is whether it would |
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700 // really be faster. |
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701 if (p > static_cast<long double> (octave_int_base<int64_t>::max_val ())) |
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|
702 { |
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703 return octave_int_base<int64_t>::max_val (); |
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|
704 } |
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705 else if (p < static_cast<long double> (octave_int_base<int64_t>::min_val ())) |
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|
706 { |
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707 return octave_int_base<int64_t>::min_val (); |
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|
708 } |
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|
709 else |
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710 return static_cast<int64_t> (p); |
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|
711 } |
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712 #else |
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713 // Special handler for 64-bit integer multiply. |
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|
714 template <> |
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|
715 OCTAVE_API int64_t |
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716 octave_int_arith_base<int64_t, true>::mul (int64_t, int64_t); |
8185
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717 #endif |
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|
718 |
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|
719 // This class simply selects the proper arithmetics. |
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720 template<class T> |
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|
721 class octave_int_arith |
8169
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722 : public octave_int_arith_base<T, std::numeric_limits<T>::is_signed> |
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723 {}; |
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|
724 |
4902 | 725 template <class T> |
726 class | |
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|
727 octave_int : public octave_int_base<T> |
4902 | 728 { |
729 public: | |
4943 | 730 typedef T val_type; |
731 | |
4902 | 732 octave_int (void) : ival () { } |
733 | |
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734 octave_int (T i) : ival (i) { } |
4902 | 735 |
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736 octave_int (double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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737 |
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|
738 octave_int (float d) : ival (octave_int_base<T>::convert_real (d)) { } |
6402 | 739 |
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|
740 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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741 octave_int (long double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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742 #endif |
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|
743 |
4902 | 744 octave_int (bool b) : ival (b) { } |
745 | |
746 template <class U> | |
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747 octave_int (const U& i) : ival(octave_int_base<T>::truncate_int (i)) { } |
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|
748 |
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|
749 template <class U> |
4902 | 750 octave_int (const octave_int<U>& i) |
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751 : ival (octave_int_base<T>::truncate_int (i.value ())) { } |
4902 | 752 |
753 octave_int (const octave_int<T>& i) : ival (i.ival) { } | |
754 | |
755 octave_int& operator = (const octave_int<T>& i) | |
756 { | |
757 ival = i.ival; | |
758 return *this; | |
759 } | |
760 | |
761 T value (void) const { return ival; } | |
762 | |
4949 | 763 const unsigned char * iptr (void) const |
764 { return reinterpret_cast<const unsigned char *> (& ival); } | |
765 | |
4902 | 766 bool operator ! (void) const { return ! ival; } |
767 | |
7198 | 768 bool bool_value (void) const { return static_cast<bool> (value ()); } |
769 | |
770 char char_value (void) const { return static_cast<char> (value ()); } | |
771 | |
772 double double_value (void) const { return static_cast<double> (value ()); } | |
773 | |
774 float float_value (void) const { return static_cast<float> (value ()); } | |
775 | |
7177 | 776 operator T (void) const { return value (); } |
777 | |
7198 | 778 // char and bool operators intentionally omitted. |
5533 | 779 |
7198 | 780 operator double (void) const { return double_value (); } |
4902 | 781 |
7198 | 782 operator float (void) const { return float_value (); } |
5030 | 783 |
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784 octave_int<T> |
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|
785 operator + () const |
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
786 { return *this; } |
66bc6f9b4f72
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diff
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|
787 |
66bc6f9b4f72
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parents:
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diff
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|
788 // unary operators & mappers |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
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|
789 #define OCTAVE_INT_UN_OP(OPNAME,NAME) \ |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
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diff
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|
790 inline octave_int<T> \ |
66bc6f9b4f72
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diff
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|
791 OPNAME () const \ |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
792 { return octave_int_arith<T>::NAME (ival); } |
4902 | 793 |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
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|
794 OCTAVE_INT_UN_OP(operator -, minus) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
795 OCTAVE_INT_UN_OP(abs, abs) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
796 OCTAVE_INT_UN_OP(signum, signum) |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
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|
797 |
8185
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
798 #undef OCTAVE_INT_UN_OP |
4902 | 799 |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
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8104
diff
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|
800 // Homogeneous binary integer operations. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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diff
changeset
|
801 #define OCTAVE_INT_BIN_OP(OP, NAME, ARGT) \ |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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diff
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|
802 inline octave_int<T> \ |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
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diff
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|
803 operator OP (const ARGT& y) const \ |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
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|
804 { return octave_int_arith<T>::NAME (ival, y); } \ |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
805 inline octave_int<T>& \ |
66bc6f9b4f72
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diff
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|
806 operator OP##= (const ARGT& y) \ |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
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diff
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|
807 { \ |
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|
808 ival = octave_int_arith<T>::NAME (ival, y); \ |
66bc6f9b4f72
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|
809 return *this; \ |
4952 | 810 } |
811 | |
8169
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812 OCTAVE_INT_BIN_OP(+, add, octave_int<T>) |
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|
813 OCTAVE_INT_BIN_OP(-, sub, octave_int<T>) |
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|
814 OCTAVE_INT_BIN_OP(*, mul, octave_int<T>) |
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Jaroslav Hajek <highegg@gmail.com>
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diff
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|
815 OCTAVE_INT_BIN_OP(/, div, octave_int<T>) |
10436
00219bdd2d17
implement built-in rem and mod
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10405
diff
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|
816 OCTAVE_INT_BIN_OP(%, rem, octave_int<T>) |
8169
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rewrite integer arithmetics and conversions
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|
817 OCTAVE_INT_BIN_OP(<<, lshift, int) |
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|
818 OCTAVE_INT_BIN_OP(>>, rshift, int) |
4952 | 819 |
8185
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implement 64-bit arithmetics
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|
820 #undef OCTAVE_INT_BIN_OP |
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
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diff
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|
821 |
8185
69c5cce38c29
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Jaroslav Hajek <highegg@gmail.com>
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|
822 static octave_int<T> min (void) { return std::numeric_limits<T>::min (); } |
69c5cce38c29
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|
823 static octave_int<T> max (void) { return std::numeric_limits<T>::max (); } |
4906 | 824 |
8169
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|
825 static int nbits (void) { return std::numeric_limits<T>::digits; } |
4909 | 826 |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14168
diff
changeset
|
827 static int byte_size (void) { return sizeof (T); } |
4949 | 828 |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
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|
829 static const char *type_name (); |
7997
2b8952e133c9
implement checked conversions between integers
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
830 |
8185
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|
831 // The following are provided for convenience. |
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|
832 static const octave_int zero, one; |
11586
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11523
diff
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|
833 |
5900 | 834 // Unsafe. This function exists to support the MEX interface. |
835 // You should not use it anywhere else. | |
836 void *mex_get_data (void) const { return const_cast<T *> (&ival); } | |
837 | |
4902 | 838 private: |
839 | |
840 T ival; | |
841 }; | |
842 | |
10436
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843 template <class T> |
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|
844 inline octave_int<T> |
00219bdd2d17
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|
845 rem (const octave_int<T>& x, const octave_int<T>& y) |
00219bdd2d17
implement built-in rem and mod
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|
846 { return octave_int_arith<T>::rem (x.value (), y.value ()); } |
00219bdd2d17
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|
847 |
00219bdd2d17
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|
848 template <class T> |
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|
849 inline octave_int<T> |
00219bdd2d17
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Jaroslav Hajek <highegg@gmail.com>
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|
850 mod (const octave_int<T>& x, const octave_int<T>& y) |
00219bdd2d17
implement built-in rem and mod
Jaroslav Hajek <highegg@gmail.com>
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|
851 { return octave_int_arith<T>::mod (x.value (), y.value ()); } |
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diff
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|
852 |
8169
66bc6f9b4f72
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|
853 // No mixed integer binary operations! |
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|
854 |
66bc6f9b4f72
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|
855 template <class T> |
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|
856 inline bool |
66bc6f9b4f72
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8104
diff
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|
857 xisnan (const octave_int<T>&) |
66bc6f9b4f72
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|
858 { return false; } |
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|
859 |
8333 | 860 // FIXME -- can/should any of these be inline? |
7997
2b8952e133c9
implement checked conversions between integers
Jaroslav Hajek <highegg@gmail.com>
parents:
7922
diff
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|
861 |
4902 | 862 template <class T> |
8169
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|
863 extern OCTAVE_API octave_int<T> |
66bc6f9b4f72
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|
864 pow (const octave_int<T>&, const octave_int<T>&); |
66bc6f9b4f72
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|
865 |
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|
866 template <class T> |
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|
867 extern OCTAVE_API octave_int<T> |
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|
868 pow (const double& a, const octave_int<T>& b); |
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|
869 |
66bc6f9b4f72
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|
870 template <class T> |
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|
871 extern OCTAVE_API octave_int<T> |
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|
872 pow (const octave_int<T>& a, const double& b); |
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
873 |
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
874 template <class T> |
8169
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rewrite integer arithmetics and conversions
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|
875 extern OCTAVE_API octave_int<T> |
13012
15eefbd9d4e8
Implement a few missing automatic bsxfun power operators
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
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|
876 pow (const float& a, const octave_int<T>& b); |
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diff
changeset
|
877 |
15eefbd9d4e8
Implement a few missing automatic bsxfun power operators
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changeset
|
878 template <class T> |
15eefbd9d4e8
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|
879 extern OCTAVE_API octave_int<T> |
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Implement a few missing automatic bsxfun power operators
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|
880 pow (const octave_int<T>& a, const float& b); |
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parents:
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|
881 |
15eefbd9d4e8
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changeset
|
882 // FIXME: Do we really need a differently named single-precision |
15eefbd9d4e8
Implement a few missing automatic bsxfun power operators
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parents:
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diff
changeset
|
883 // function integer power function here instead of an overloaded |
15eefbd9d4e8
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|
884 // one? |
15eefbd9d4e8
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changeset
|
885 template <class T> |
15eefbd9d4e8
Implement a few missing automatic bsxfun power operators
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|
886 extern OCTAVE_API octave_int<T> |
8169
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rewrite integer arithmetics and conversions
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|
887 powf (const float& a, const octave_int<T>& b); |
4952 | 888 |
889 template <class T> | |
8169
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|
890 extern OCTAVE_API octave_int<T> |
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|
891 powf (const octave_int<T>& a, const float& b); |
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|
892 |
66bc6f9b4f72
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changeset
|
893 // Binary relations |
4953 | 894 |
8169
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|
895 #define OCTAVE_INT_CMP_OP(OP, NAME) \ |
66bc6f9b4f72
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|
896 template<class T1, class T2> \ |
66bc6f9b4f72
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|
897 inline bool \ |
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|
898 operator OP (const octave_int<T1>& x, const octave_int<T2>& y) \ |
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|
899 { return octave_int_cmp_op::op<octave_int_cmp_op::NAME, T1, T2> \ |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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|
900 (x.value (), y.value ()); } |
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|
901 |
66bc6f9b4f72
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|
902 OCTAVE_INT_CMP_OP (<, lt) |
66bc6f9b4f72
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|
903 OCTAVE_INT_CMP_OP (<=, le) |
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|
904 OCTAVE_INT_CMP_OP (>, gt) |
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905 OCTAVE_INT_CMP_OP (>=, ge) |
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|
906 OCTAVE_INT_CMP_OP (==, eq) |
66bc6f9b4f72
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|
907 OCTAVE_INT_CMP_OP (!=, ne) |
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|
908 |
8185
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|
909 #undef OCTAVE_INT_CMP_OP |
4953 | 910 |
911 template <class T> | |
8169
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|
912 inline std::ostream& |
4902 | 913 operator << (std::ostream& os, const octave_int<T>& ival) |
914 { | |
915 os << ival.value (); | |
916 return os; | |
917 } | |
918 | |
919 template <class T> | |
8169
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rewrite integer arithmetics and conversions
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|
920 inline std::istream& |
4902 | 921 operator >> (std::istream& is, octave_int<T>& ival) |
922 { | |
923 T tmp = 0; | |
924 is >> tmp; | |
925 ival = tmp; | |
926 return is; | |
927 } | |
928 | |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
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changeset
|
929 // Bitwise operations |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7598
diff
changeset
|
930 |
4906 | 931 #define OCTAVE_INT_BITCMP_OP(OP) \ |
932 template <class T> \ | |
933 octave_int<T> \ | |
934 operator OP (const octave_int<T>& x, const octave_int<T>& y) \ | |
8169
66bc6f9b4f72
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|
935 { return x.value () OP y.value (); } |
4906 | 936 |
937 OCTAVE_INT_BITCMP_OP (&) | |
938 OCTAVE_INT_BITCMP_OP (|) | |
939 OCTAVE_INT_BITCMP_OP (^) | |
940 | |
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941 #undef OCTAVE_INT_BITCMP_OP |
4906 | 942 |
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|
943 // General bit shift. |
4909 | 944 template <class T> |
945 octave_int<T> | |
4920 | 946 bitshift (const octave_int<T>& a, int n, |
10312
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947 const octave_int<T>& mask = std::numeric_limits<T>::max ()) |
4909 | 948 { |
949 if (n > 0) | |
4952 | 950 return (a << n) & mask; |
4909 | 951 else if (n < 0) |
4952 | 952 return (a >> -n) & mask; |
4909 | 953 else |
8963
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954 return a & mask; |
4909 | 955 } |
956 | |
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957 typedef octave_int<int8_t> octave_int8; |
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958 typedef octave_int<int16_t> octave_int16; |
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959 typedef octave_int<int32_t> octave_int32; |
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960 typedef octave_int<int64_t> octave_int64; |
4902 | 961 |
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962 typedef octave_int<uint8_t> octave_uint8; |
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963 typedef octave_int<uint16_t> octave_uint16; |
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964 typedef octave_int<uint32_t> octave_uint32; |
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965 typedef octave_int<uint64_t> octave_uint64; |
5072 | 966 |
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967 #define OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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968 template <class T> \ |
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969 inline octave_int<T> \ |
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970 operator OP (const octave_int<T>& x, const double& y) \ |
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971 { return octave_int<T> (static_cast<double> (x) OP y); } \ |
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972 template <class T> \ |
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973 inline octave_int<T> \ |
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974 operator OP (const double& x, const octave_int<T>& y) \ |
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975 { return octave_int<T> (x OP static_cast<double> (y)); } \ |
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976 |
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977 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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978 // Handle mixed op using long double |
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979 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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980 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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981 template <> \ |
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982 inline octave_int64 \ |
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983 operator OP (const double& x, const octave_int64& y) \ |
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984 { return octave_int64 (x OP static_cast<long double> (y.value ())); } \ |
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985 template <> \ |
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986 inline octave_uint64 \ |
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987 operator OP (const double& x, const octave_uint64& y) \ |
8191
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988 { return octave_uint64 (x OP static_cast<long double> (y.value ())); } \ |
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989 template <> \ |
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990 inline octave_int64 \ |
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991 operator OP (const octave_int64& x, const double& y) \ |
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992 { return octave_int64 (static_cast<long double> (x.value ()) OP y); } \ |
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993 template <> \ |
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994 inline octave_uint64 \ |
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995 operator OP (const octave_uint64& x, const double& y) \ |
8191
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996 { return octave_uint64 (static_cast<long double> (x.value ()) OP y); } |
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|
997 |
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998 #else |
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999 // external handlers |
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1000 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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1001 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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1002 template <> \ |
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1003 OCTAVE_API octave_int64 \ |
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1004 operator OP (const double&, const octave_int64&); \ |
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1005 template <> \ |
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1006 OCTAVE_API octave_uint64 \ |
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1007 operator OP (const double&, const octave_uint64&); \ |
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1008 template <> \ |
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1009 OCTAVE_API octave_int64 \ |
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1010 operator OP (const octave_int64&, const double&); \ |
7521
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7503
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|
1011 template <> \ |
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|
1012 OCTAVE_API octave_uint64 \ |
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|
1013 operator OP (const octave_uint64&, const double&); |
5072 | 1014 |
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1015 #endif |
5072 | 1016 |
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1017 OCTAVE_INT_DOUBLE_BIN_OP (+) |
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1018 OCTAVE_INT_DOUBLE_BIN_OP (-) |
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1019 OCTAVE_INT_DOUBLE_BIN_OP (*) |
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1020 OCTAVE_INT_DOUBLE_BIN_OP (/) |
5072 | 1021 |
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1022 #undef OCTAVE_INT_DOUBLE_BIN_OP0 |
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1023 #undef OCTAVE_INT_DOUBLE_BIN_OP |
5072 | 1024 |
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1025 #define OCTAVE_INT_DOUBLE_CMP_OP(OP,NAME) \ |
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1026 template <class T> \ |
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|
1027 inline bool \ |
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|
1028 operator OP (const octave_int<T>& x, const double& y) \ |
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|
1029 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x.value (), y); } \ |
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1030 template <class T> \ |
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|
1031 inline bool \ |
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1032 operator OP (const double& x, const octave_int<T>& y) \ |
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1033 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x, y.value ()); } |
5072 | 1034 |
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1035 OCTAVE_INT_DOUBLE_CMP_OP (<, lt) |
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1036 OCTAVE_INT_DOUBLE_CMP_OP (<=, le) |
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1037 OCTAVE_INT_DOUBLE_CMP_OP (>=, ge) |
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1038 OCTAVE_INT_DOUBLE_CMP_OP (>, gt) |
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1039 OCTAVE_INT_DOUBLE_CMP_OP (==, eq) |
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1040 OCTAVE_INT_DOUBLE_CMP_OP (!=, ne) |
5072 | 1041 |
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1042 #undef OCTAVE_INT_DOUBLE_CMP_OP |
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1043 |
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1044 // Floats are handled by simply converting to doubles. |
5072 | 1045 |
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1046 #define OCTAVE_INT_FLOAT_BIN_OP(OP) \ |
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1047 template <class T> \ |
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1048 inline octave_int<T> \ |
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1049 operator OP (const octave_int<T>& x, float y) \ |
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1050 { return x OP static_cast<double> (y); } \ |
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1051 template <class T> \ |
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1052 inline octave_int<T> \ |
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1053 operator OP (float x, const octave_int<T>& y) \ |
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1054 { return static_cast<double> (x) OP y; } |
5072 | 1055 |
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1056 OCTAVE_INT_FLOAT_BIN_OP (+) |
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1057 OCTAVE_INT_FLOAT_BIN_OP (-) |
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1058 OCTAVE_INT_FLOAT_BIN_OP (*) |
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1059 OCTAVE_INT_FLOAT_BIN_OP (/) |
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1060 |
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1061 #undef OCTAVE_INT_FLOAT_BIN_OP |
5072 | 1062 |
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1063 #define OCTAVE_INT_FLOAT_CMP_OP(OP) \ |
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1064 template <class T> \ |
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1065 inline bool \ |
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1066 operator OP (const octave_int<T>& x, const float& y) \ |
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1067 { return x OP static_cast<double> (y); } \ |
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1068 template <class T> \ |
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1069 bool \ |
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1070 operator OP (const float& x, const octave_int<T>& y) \ |
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1071 { return static_cast<double> (x) OP y; } |
4902 | 1072 |
8169
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1073 OCTAVE_INT_FLOAT_CMP_OP (<) |
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1074 OCTAVE_INT_FLOAT_CMP_OP (<=) |
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1075 OCTAVE_INT_FLOAT_CMP_OP (>=) |
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parents:
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1076 OCTAVE_INT_FLOAT_CMP_OP (>) |
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parents:
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1077 OCTAVE_INT_FLOAT_CMP_OP (==) |
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parents:
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1078 OCTAVE_INT_FLOAT_CMP_OP (!=) |
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1079 |
8185
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1080 #undef OCTAVE_INT_FLOAT_CMP_OP |
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1081 |
9743
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1082 template <class T> |
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1083 octave_int<T> |
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1084 xmax (const octave_int<T>& x, const octave_int<T>& y) |
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1085 { |
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1086 const T xv = x.value (), yv = y.value (); |
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1087 return octave_int<T> (xv >= yv ? xv : yv); |
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1088 } |
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1089 |
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1090 template <class T> |
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parents:
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1091 octave_int<T> |
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1092 xmin (const octave_int<T>& x, const octave_int<T>& y) |
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1093 { |
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1094 const T xv = x.value (), yv = y.value (); |
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1095 return octave_int<T> (xv <= yv ? xv : yv); |
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1096 } |
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1097 |
4902 | 1098 #endif |