Mercurial > hg > octave-nkf
annotate liboctave/oct-inttypes.h @ 10405:cc69a17ec801
remove integer math warnings
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Tue, 09 Mar 2010 08:06:30 +0100 |
parents | 65d5776379c3 |
children | 00219bdd2d17 |
rev | line source |
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4902 | 1 /* |
2 | |
8920 | 3 Copyright (C) 2008, 2009 Jaroslav Hajek |
7017 | 4 Copyright (C) 2004, 2005, 2006, 2007 John W. Eaton |
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 | |
6482 | 27 #include <climits> |
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28 #include <cstdlib> |
6482 | 29 |
4902 | 30 #include <limits> |
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31 #include <iosfwd> |
4902 | 32 |
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33 #include "lo-traits.h" |
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34 #include "lo-math.h" |
4969 | 35 #include "lo-mappers.h" |
4902 | 36 |
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37 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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38 inline long double xround (long double x) { return roundl (x); } |
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39 inline long double xisnan (long double x) { return xisnan (static_cast<double> (x)); } |
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40 #endif |
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41 |
8333 | 42 // FIXME -- we define this by our own because some compilers, such as |
43 // MSVC, do not provide std::abs (int64_t) and std::abs (uint64_t). In | |
44 // the future, it should go away in favor of std::abs. | |
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45 template <class T> |
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46 inline T octave_int_abs (T x) { return x >= 0 ? x : -x; } |
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47 |
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48 // Query for an integer type of certain sizeof, and signedness. |
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49 template<int qsize, bool qsigned> |
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50 struct query_integer_type |
4902 | 51 { |
52 public: | |
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53 static const bool registered = false; |
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54 typedef void type; // Void shall result in a compile-time error if we |
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55 // attempt to use it in computations. |
4902 | 56 }; |
57 | |
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58 #define REGISTER_INT_TYPE(TYPE) \ |
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59 template <> \ |
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60 class query_integer_type<sizeof (TYPE), std::numeric_limits<TYPE>::is_signed> \ |
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61 { \ |
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62 public: \ |
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63 static const bool registered = true; \ |
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64 typedef TYPE type; \ |
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65 } |
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66 |
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67 // No two registered integers can share sizeof and signedness. |
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68 REGISTER_INT_TYPE (int8_t); |
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69 REGISTER_INT_TYPE (uint8_t); |
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70 REGISTER_INT_TYPE (int16_t); |
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71 REGISTER_INT_TYPE (uint16_t); |
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72 REGISTER_INT_TYPE (int32_t); |
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73 REGISTER_INT_TYPE (uint32_t); |
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74 REGISTER_INT_TYPE (int64_t); |
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75 REGISTER_INT_TYPE (uint64_t); |
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76 |
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77 // Rationale: Comparators have a single static method, rel(), that returns the |
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78 // result of the binary relation. They also have two static boolean fields: |
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79 // ltval, gtval determine the value of x OP y if x < y, x > y, respectively. |
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80 #define REGISTER_OCTAVE_CMP_OP(NM,OP) \ |
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81 class NM \ |
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82 { \ |
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83 public: \ |
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84 static const bool ltval = (0 OP 1), gtval = (1 OP 0); \ |
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85 template <class T> \ |
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86 static bool op (T x, T y) { return x OP y; } \ |
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87 } |
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88 |
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89 // We also provide two special relations: ct, yielding always true, and cf, |
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90 // yielding always false. |
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91 #define REGISTER_OCTAVE_CONST_OP(NM,value) \ |
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92 class NM \ |
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93 { \ |
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94 public: \ |
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95 static const bool ltval = value, gtval = value; \ |
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96 template <class T> \ |
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97 static bool op (T, T) { return value; } \ |
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98 } |
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100 // Handles non-homogeneous integer comparisons. Avoids doing useless tests. |
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101 class octave_int_cmp_op |
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102 { |
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103 // This determines a suitable promotion type for T1 when meeting T2 in a |
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104 // binary relation. If promotion to int or T2 is safe, it is used. Otherwise, |
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105 // the signedness of T1 is preserved and it is widened if T2 is wider. |
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106 // Notice that if this is applied to both types, they must end up with equal |
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107 // size. |
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108 template <class T1, class T2> |
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109 class prom |
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110 { |
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111 // Promote to int? |
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112 static const bool pint = (sizeof (T1) < sizeof (int) |
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113 && sizeof (T2) < sizeof (int)); |
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114 static const bool t1sig = std::numeric_limits<T1>::is_signed; |
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115 static const bool t2sig = std::numeric_limits<T2>::is_signed; |
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116 static const bool psig = |
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117 (pint || (sizeof (T2) > sizeof (T1) && t2sig) || t1sig); |
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118 static const int psize = |
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119 (pint ? sizeof (int) : (sizeof (T2) > sizeof (T1) |
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120 ? sizeof (T2) : sizeof (T1))); |
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121 public: |
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122 typedef typename query_integer_type<psize, psig>::type type; |
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123 }; |
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125 // Implements comparisons between two types of equal size but |
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126 // possibly different signedness. |
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127 template<class xop, int size> |
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128 class uiop |
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129 { |
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130 typedef typename query_integer_type<size, false>::type utype; |
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131 typedef typename query_integer_type<size, true>::type stype; |
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132 public: |
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133 static bool op (utype x, utype y) |
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134 { return xop::op (x, y); } |
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135 static bool op (stype x, stype y) |
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136 { return xop::op (x, y); } |
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137 static bool op (stype x, utype y) |
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138 { return (x < 0) ? xop::ltval : xop::op (static_cast<utype> (x), y); } |
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139 static bool op (utype x, stype y) |
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140 { return (y < 0) ? xop::gtval : xop::op (x, static_cast<utype> (y)); } |
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141 }; |
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143 public: |
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144 REGISTER_OCTAVE_CMP_OP (lt, <); |
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145 REGISTER_OCTAVE_CMP_OP (le, <=); |
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146 REGISTER_OCTAVE_CMP_OP (gt, >); |
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147 REGISTER_OCTAVE_CMP_OP (ge, >=); |
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148 REGISTER_OCTAVE_CMP_OP (eq, ==); |
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149 REGISTER_OCTAVE_CMP_OP (ne, !=); |
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150 REGISTER_OCTAVE_CONST_OP (ct, true); |
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151 REGISTER_OCTAVE_CONST_OP (cf, false); |
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152 |
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153 // Universal comparison operation. |
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154 template<class xop, class T1, class T2> |
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155 static bool |
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156 op (T1 x, T2 y) |
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157 { |
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158 typedef typename prom<T1, T2>::type PT1; |
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159 typedef typename prom<T2, T1>::type PT2; |
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160 return uiop<xop, sizeof (PT1)>::op (static_cast<PT1> (x), |
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161 static_cast<PT2> (y)); |
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162 } |
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163 |
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164 public: |
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165 |
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166 // Mixed comparisons |
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167 template <class xop, class T> |
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168 static bool |
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169 mop (T x, double y) |
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170 { return xop::op (static_cast<double> (x), y); } |
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171 |
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172 template <class xop, class T> |
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173 static bool |
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174 mop (double x, T y) |
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175 { return xop::op (x, static_cast<double> (y)); } |
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176 |
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177 // Typecasting to doubles won't work properly for 64-bit integers - they lose precision. |
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178 // If we have long doubles, use them... |
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179 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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180 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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181 template <class xop> \ |
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182 static bool \ |
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183 mop (T1 x, T2 y) \ |
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184 { \ |
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185 return xop::op (static_cast<long double> (x), \ |
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186 static_cast<long double> (y)); \ |
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187 } |
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188 #else |
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189 // ... otherwise, use external handlers |
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190 |
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191 // FIXME: We could declare directly the mop methods as external, |
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192 // but we can't do this because bugs in gcc (<= 4.3) prevent |
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193 // explicit instantiations later in that case. |
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194 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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195 template <class xop> static OCTAVE_API bool \ |
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196 emulate_mop (T1, T2); \ |
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197 template <class xop> \ |
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198 static bool \ |
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199 mop (T1 x, T2 y) \ |
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200 { \ |
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201 return emulate_mop<xop> (x, y); \ |
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202 } |
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203 #endif |
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204 |
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205 DEFINE_LONG_DOUBLE_CMP_OP(double, uint64_t) |
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206 DEFINE_LONG_DOUBLE_CMP_OP(double, int64_t) |
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207 DEFINE_LONG_DOUBLE_CMP_OP(int64_t, double) |
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208 DEFINE_LONG_DOUBLE_CMP_OP(uint64_t, double) |
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209 |
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210 #undef DEFINE_LONG_DOUBLE_CMP_OP |
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211 }; |
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212 |
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213 // Base integer class. No data, just conversion methods and exception flags. |
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214 template <class T> |
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215 class octave_int_base |
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216 { |
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217 protected: |
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218 |
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219 static T min_val () { return std::numeric_limits<T>:: min (); } |
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220 static T max_val () { return std::numeric_limits<T>:: max (); } |
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222 public: |
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223 |
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224 // Convert integer value. |
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225 template <class S> |
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226 static T |
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227 truncate_int (const S& value) |
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228 { |
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229 // An exhaustive test whether the max and/or min check can be omitted. |
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230 static const bool t_is_signed = std::numeric_limits<T>::is_signed; |
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231 static const bool s_is_signed = std::numeric_limits<S>::is_signed; |
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232 static const int t_size = sizeof (T), s_size = sizeof (S); |
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233 static const bool omit_chk_min = |
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234 (! s_is_signed || (t_is_signed && t_size >= s_size)); |
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235 static const bool omit_chk_max = |
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236 (t_size > s_size || (t_size == s_size |
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237 && (! t_is_signed || s_is_signed))); |
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238 // If the check can be omitted, substitute constant false relation. |
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239 typedef octave_int_cmp_op::cf cf; |
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240 typedef octave_int_cmp_op::lt lt; |
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241 typedef octave_int_cmp_op::gt gt; |
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242 typedef typename if_then_else<omit_chk_min, cf, lt>::result chk_min; |
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243 typedef typename if_then_else<omit_chk_max, cf, gt>::result chk_max; |
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245 // Efficiency of the following depends on inlining and dead code |
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246 // elimination, but that should be a piece of cake for most compilers. |
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247 if (chk_min::op (value, static_cast<S> (min_val ()))) |
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248 { |
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249 return min_val (); |
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250 } |
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251 else if (chk_max::op (value, static_cast<S> (max_val ()))) |
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252 { |
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253 return max_val (); |
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254 } |
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255 else |
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256 return static_cast<T> (value); |
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257 } |
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259 private: |
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260 |
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261 // Computes a real-valued threshold for a max/min check. |
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262 template <class S> |
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263 static S |
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264 compute_threshold (S val, T orig_val) |
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265 { |
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266 val = xround (val); // Fool optimizations (maybe redundant) |
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267 // If val is even, but orig_val is odd, we're one unit off. |
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268 if (orig_val % 2 && val / 2 == xround (val / 2)) |
8333 | 269 // FIXME -- is this always correct? |
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270 val *= (static_cast<S>(1) - (std::numeric_limits<S>::epsilon () / 2)); |
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271 return val; |
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272 } |
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273 |
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274 public: |
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275 // Convert a real number (check NaN and non-int). |
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276 template <class S> |
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277 static T |
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278 convert_real (const S& value) |
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279 { |
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280 // Compute proper thresholds. |
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281 static const S thmin = compute_threshold (static_cast<S> (min_val ()), min_val ()); |
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282 static const S thmax = compute_threshold (static_cast<S> (max_val ()), max_val ()); |
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283 if (xisnan (value)) |
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284 { |
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285 return static_cast<T> (0); |
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286 } |
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287 else if (value < thmin) |
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288 { |
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289 return min_val (); |
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290 } |
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291 else if (value > thmax) |
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292 { |
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293 return max_val (); |
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294 } |
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295 else |
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296 { |
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297 S rvalue = xround (value); |
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298 return static_cast<T> (rvalue); |
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299 } |
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300 } |
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301 }; |
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302 |
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303 // Saturated (homogeneous) integer arithmetics. The signed and unsigned |
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304 // implementations are significantly different, so we implement another layer |
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305 // and completely specialize. Arithmetics inherits from octave_int_base so that |
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306 // it can use its exceptions and truncation functions. |
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307 |
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308 template <class T, bool is_signed> |
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309 class octave_int_arith_base |
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310 { }; |
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311 |
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312 // Unsigned arithmetics. C++ standard requires it to be modular, so the |
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313 // overflows can be handled efficiently and reliably. |
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314 template <class T> |
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315 class octave_int_arith_base<T, false> : octave_int_base<T> |
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316 { |
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317 public: |
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318 |
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319 static T |
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320 abs (T x) { return x; } |
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321 |
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322 static T |
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323 signum (T x) { return x ? static_cast<T> (1) : static_cast<T> (0); } |
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324 |
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325 // Shifts do not overflow. |
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326 static T |
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327 rshift (T x, int n) { return x >> n; } |
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328 |
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329 static T |
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330 lshift (T x, int n) { return x << n; } |
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331 |
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332 static T |
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333 minus (T) |
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334 { |
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335 return static_cast<T> (0); |
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336 } |
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337 |
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338 // the overflow behaviour for unsigned integers is guaranteed by C/C++, |
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339 // so the following should always work. |
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340 static T |
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341 add (T x, T y) |
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342 { |
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343 T u = x + y; |
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344 if (u < x) |
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345 { |
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346 u = octave_int_base<T>::max_val (); |
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347 } |
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348 return u; |
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349 } |
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350 |
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351 static T |
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352 sub (T x, T y) |
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353 { |
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354 T u = x - y; |
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355 if (u > x) |
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356 { |
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357 u = 0; |
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358 } |
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359 return u; |
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360 } |
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361 |
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362 // Multiplication is done using promotion to wider integer type. If there is |
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363 // no suitable promotion type, this operation *MUST* be specialized. |
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364 static T |
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365 mul (T x, T y) |
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366 { |
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367 // Promotion type for multiplication (if exists). |
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368 typedef typename query_integer_type<2*sizeof (T), false>::type mptype; |
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369 return truncate_int (static_cast<mptype> (x) |
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370 * static_cast<mptype> (y)); |
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371 } |
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372 |
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373 // Division with rounding to nearest. Note that / and % are probably |
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374 // computed by a single instruction. |
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375 static T |
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376 div (T x, T y) |
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377 { |
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378 if (y != 0) |
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379 { |
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380 T z = x / y, w = x % y; |
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381 if (w >= y-w) z += 1; |
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382 return z; |
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383 } |
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384 else |
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385 { |
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386 return x ? octave_int_base<T>::max_val () : 0; |
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387 } |
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388 } |
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389 }; |
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390 |
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391 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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392 // Handle 64-bit multiply using long double |
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393 template <> |
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394 inline uint64_t |
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395 octave_int_arith_base<uint64_t, false>:: mul (uint64_t x, uint64_t y) |
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396 { |
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397 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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398 if (p > static_cast<long double> (octave_int_base<uint64_t>::max_val ())) |
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399 { |
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400 return octave_int_base<uint64_t>::max_val (); |
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401 } |
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402 else |
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403 return static_cast<uint64_t> (p); |
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404 } |
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405 #else |
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406 // Special handler for 64-bit integer multiply. |
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407 template <> |
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408 OCTAVE_API uint64_t |
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409 octave_int_arith_base<uint64_t, false>::mul (uint64_t, uint64_t); |
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410 #endif |
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411 |
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412 // Signed integer arithmetics. |
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413 // Rationale: If HAVE_FAST_INT_OPS is defined, the following conditions |
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414 // should hold: |
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415 // 1. Signed numbers are represented by twos complement |
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416 // (see <http://en.wikipedia.org/wiki/Two%27s_complement>) |
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417 // 2. static_cast to unsigned int counterpart works like interpreting |
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418 // the signed bit pattern as unsigned (and is thus zero-cost). |
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419 // 3. Signed addition and subtraction yield the same bit results as unsigned. |
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420 // (We use casts to prevent optimization interference, so there is no |
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421 // need for things like -ftrapv). |
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422 // 4. Bit operations on signed integers work like on unsigned integers, |
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423 // except for the shifts. Shifts are arithmetic. |
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424 // |
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425 // The above conditions are satisfied by most modern platforms. If |
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426 // HAVE_FAST_INT_OPS is defined, bit tricks and wraparound arithmetics are used |
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427 // to avoid conditional jumps as much as possible, thus being friendly to modern |
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428 // pipeline processor architectures. |
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429 // Otherwise, we fall back to a bullet-proof code that only uses assumptions |
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430 // guaranteed by the standard. |
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431 |
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432 template <class T> |
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433 class octave_int_arith_base<T, true> : octave_int_base<T> |
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434 { |
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435 // The corresponding unsigned type. |
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436 typedef typename query_integer_type<sizeof (T), false>::type UT; |
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437 public: |
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438 |
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439 // Returns 1 for negative number, 0 otherwise. |
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440 static T |
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441 signbit (T x) |
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442 { |
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443 #ifdef HAVE_FAST_INT_OPS |
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444 return static_cast<UT> (x) >> std::numeric_limits<T>::digits; |
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445 #else |
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446 return (x < 0) ? 1 : 0; |
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447 #endif |
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448 } |
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449 |
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450 static T |
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451 abs (T x) |
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452 { |
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453 #ifdef HAVE_FAST_INT_OPS |
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454 // This is close to how GCC does std::abs, but we can't just use std::abs, |
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455 // because its behaviour for INT_MIN is undefined and the compiler could |
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456 // discard the following test. |
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457 T m = x >> std::numeric_limits<T>::digits; |
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458 T y = (x ^ m) - m; |
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459 if (y < 0) |
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460 { |
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461 y = octave_int_base<T>::max_val (); |
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462 } |
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463 return y; |
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464 #else |
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465 // -INT_MAX is safe because C++ actually allows only three implementations |
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466 // of integers: sign & magnitude, ones complement and twos complement. |
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467 // The first test will, with modest optimizations, evaluate at compile |
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468 // time, and maybe eliminate the branch completely. |
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469 T y; |
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470 if (octave_int_base<T>::min_val () < -octave_int_base<T>::max_val () |
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471 && x == octave_int_base<T>::min_val ()) |
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472 { |
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473 y = octave_int_base<T>::max_val (); |
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474 } |
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475 else |
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476 y = (x < 0) ? -x : x; |
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477 return y; |
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478 #endif |
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479 } |
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480 |
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481 static T |
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482 signum (T x) |
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483 { |
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484 // With modest optimizations, this will compile without a jump. |
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485 return ((x > 0) ? 1 : 0) - signbit (x); |
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486 } |
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487 |
8333 | 488 // FIXME -- we do not have an authority what signed shifts should |
489 // exactly do, so we define them the easy way. Note that Matlab does | |
490 // not define signed shifts. | |
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491 |
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492 static T |
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493 rshift (T x, int n) { return x >> n; } |
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494 |
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495 static T |
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496 lshift (T x, int n) { return x << n; } |
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497 |
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498 // Minus has problems similar to abs. |
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499 static T |
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500 minus (T x) |
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501 { |
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502 #ifdef HAVE_FAST_INT_OPS |
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503 T y = -x; |
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504 if (y == octave_int_base<T>::min_val ()) |
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505 { |
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506 --y; |
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507 } |
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508 return y; |
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509 #else |
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510 T y; |
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rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
511 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
|
512 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
513 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
514 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
515 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
516 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
517 y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
518 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
519 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
520 } |
7521
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
521 |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
522 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
523 add (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
524 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
525 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
526 // 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
|
527 // 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
|
528 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
529 T u = static_cast<UT> (x) + static_cast<UT> (y); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
530 T ux = u ^ x, uy = u ^ y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
531 if ((ux & uy) < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
532 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
533 u = octave_int_base<T>::max_val () + signbit (~u); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
534 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
535 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
536 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
537 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
538 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
539 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
540 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
541 if (x < octave_int_base<T>::min_val () - y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
542 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
543 u = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
544 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
545 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
546 u = x + y; |
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 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
549 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
550 if (x > octave_int_base<T>::max_val () - y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
551 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
552 u = octave_int_base<T>::max_val (); |
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 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
555 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
556 } |
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 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
559 #endif |
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 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
562 // This is very similar to addition. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
563 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
564 sub (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
565 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
566 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
567 // 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
|
568 // 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
|
569 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
570 T u = static_cast<UT> (x) - static_cast<UT> (y); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
571 T ux = u ^ x, uy = u ^ ~y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
572 if ((ux & uy) < 0) |
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 u = octave_int_base<T>::max_val () + signbit (~u); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
575 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
576 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
577 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
578 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
579 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
580 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
581 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
582 if (x > octave_int_base<T>::max_val () + y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
583 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
584 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
585 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
586 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
587 u = x - y; |
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 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
590 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
591 if (x < octave_int_base<T>::min_val () + y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
592 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
593 u = octave_int_base<T>::min_val (); |
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 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
596 u = x - y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
597 } |
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 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
600 #endif |
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 |
8185
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
603 // Multiplication is done using promotion to wider integer type. If there is |
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
604 // no suitable promotion type, this operation *MUST* be specialized. |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
605 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
606 mul (T x, T y) |
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 // Promotion type for multiplication (if exists). |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
609 typedef typename query_integer_type<2*sizeof (T), true>::type mptype; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
610 return truncate_int (static_cast<mptype> (x) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
611 * static_cast<mptype> (y)); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
612 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
613 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
614 // Division. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
615 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
616 div (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
617 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
618 T z; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
619 if (y == 0) |
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 if (x < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
622 z = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
623 else if (x != 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
624 z = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
625 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
626 z = 0; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
627 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
628 else if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
629 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
630 // This is a special case that overflows as well. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
631 if (y == -1 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
632 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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633 z = octave_int_base<T>::max_val (); |
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634 } |
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635 else |
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636 { |
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637 z = x / y; |
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638 T w = -octave_int_abs (x % y); // Can't overflow, but std::abs (x) can! |
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639 if (w <= y - w) |
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640 z -= 1 - (signbit (x) << 1); |
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641 } |
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642 } |
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643 else |
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644 { |
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645 z = x / y; |
8333 | 646 // FIXME -- this is a workaround due to MSVC's absence of |
647 // std::abs (int64_t). The call to octave_int_abs can't | |
648 // overflow, but std::abs (x) can! | |
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649 T w = octave_int_abs (x % y); |
8333 | 650 |
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651 if (w >= y - w) |
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652 z += 1 - (signbit (x) << 1); |
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653 } |
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654 return z; |
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655 } |
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656 |
7521
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657 }; |
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658 |
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659 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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660 // Handle 64-bit multiply using long double |
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661 template <> |
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662 inline int64_t |
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663 octave_int_arith_base<int64_t, true>:: mul (int64_t x, int64_t y) |
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664 { |
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665 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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666 // NOTE: We could maybe do it with a single branch if HAVE_FAST_INT_OPS, but it |
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667 // would require one more runtime conversion, so the question is whether it would |
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668 // really be faster. |
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669 if (p > static_cast<long double> (octave_int_base<int64_t>::max_val ())) |
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670 { |
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671 return octave_int_base<int64_t>::max_val (); |
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672 } |
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673 else if (p < static_cast<long double> (octave_int_base<int64_t>::min_val ())) |
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674 { |
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675 return octave_int_base<int64_t>::min_val (); |
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676 } |
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677 else |
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678 return static_cast<int64_t> (p); |
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679 } |
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680 #else |
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681 // Special handler for 64-bit integer multiply. |
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682 template <> |
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683 OCTAVE_API int64_t |
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684 octave_int_arith_base<int64_t, true>::mul (int64_t, int64_t); |
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685 #endif |
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686 |
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687 // This class simply selects the proper arithmetics. |
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688 template<class T> |
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689 class octave_int_arith |
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690 : public octave_int_arith_base<T, std::numeric_limits<T>::is_signed> |
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691 {}; |
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692 |
4902 | 693 template <class T> |
694 class | |
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695 octave_int : public octave_int_base<T> |
4902 | 696 { |
697 public: | |
4943 | 698 typedef T val_type; |
699 | |
4902 | 700 octave_int (void) : ival () { } |
701 | |
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702 octave_int (T i) : ival (i) { } |
4902 | 703 |
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704 octave_int (double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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705 |
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706 octave_int (float d) : ival (octave_int_base<T>::convert_real (d)) { } |
6402 | 707 |
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708 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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709 octave_int (long double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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710 #endif |
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711 |
4902 | 712 octave_int (bool b) : ival (b) { } |
713 | |
714 template <class U> | |
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715 octave_int (const U& i) : ival(octave_int_base<T>::truncate_int (i)) { } |
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716 |
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717 template <class U> |
4902 | 718 octave_int (const octave_int<U>& i) |
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719 : ival (octave_int_base<T>::truncate_int (i.value ())) { } |
4902 | 720 |
721 octave_int (const octave_int<T>& i) : ival (i.ival) { } | |
722 | |
723 octave_int& operator = (const octave_int<T>& i) | |
724 { | |
725 ival = i.ival; | |
726 return *this; | |
727 } | |
728 | |
729 T value (void) const { return ival; } | |
730 | |
4949 | 731 const unsigned char * iptr (void) const |
732 { return reinterpret_cast<const unsigned char *> (& ival); } | |
733 | |
4902 | 734 bool operator ! (void) const { return ! ival; } |
735 | |
7198 | 736 bool bool_value (void) const { return static_cast<bool> (value ()); } |
737 | |
738 char char_value (void) const { return static_cast<char> (value ()); } | |
739 | |
740 double double_value (void) const { return static_cast<double> (value ()); } | |
741 | |
742 float float_value (void) const { return static_cast<float> (value ()); } | |
743 | |
7177 | 744 operator T (void) const { return value (); } |
745 | |
7198 | 746 // char and bool operators intentionally omitted. |
5533 | 747 |
7198 | 748 operator double (void) const { return double_value (); } |
4902 | 749 |
7198 | 750 operator float (void) const { return float_value (); } |
5030 | 751 |
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752 octave_int<T> |
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753 operator + () const |
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754 { return *this; } |
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755 |
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756 // unary operators & mappers |
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757 #define OCTAVE_INT_UN_OP(OPNAME,NAME) \ |
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758 inline octave_int<T> \ |
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759 OPNAME () const \ |
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760 { return octave_int_arith<T>::NAME (ival); } |
4902 | 761 |
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762 OCTAVE_INT_UN_OP(operator -, minus) |
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763 OCTAVE_INT_UN_OP(abs, abs) |
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764 OCTAVE_INT_UN_OP(signum, signum) |
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765 |
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766 #undef OCTAVE_INT_UN_OP |
4902 | 767 |
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768 // Homogeneous binary integer operations. |
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769 #define OCTAVE_INT_BIN_OP(OP, NAME, ARGT) \ |
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770 inline octave_int<T> \ |
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771 operator OP (const ARGT& y) const \ |
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772 { return octave_int_arith<T>::NAME (ival, y); } \ |
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773 inline octave_int<T>& \ |
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774 operator OP##= (const ARGT& y) \ |
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775 { \ |
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776 ival = octave_int_arith<T>::NAME (ival, y); \ |
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777 return *this; \ |
4952 | 778 } |
779 | |
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780 OCTAVE_INT_BIN_OP(+, add, octave_int<T>) |
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781 OCTAVE_INT_BIN_OP(-, sub, octave_int<T>) |
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782 OCTAVE_INT_BIN_OP(*, mul, octave_int<T>) |
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783 OCTAVE_INT_BIN_OP(/, div, octave_int<T>) |
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784 OCTAVE_INT_BIN_OP(<<, lshift, int) |
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785 OCTAVE_INT_BIN_OP(>>, rshift, int) |
4952 | 786 |
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787 #undef OCTAVE_INT_BIN_OP |
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788 |
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789 static octave_int<T> min (void) { return std::numeric_limits<T>::min (); } |
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790 static octave_int<T> max (void) { return std::numeric_limits<T>::max (); } |
4906 | 791 |
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792 static int nbits (void) { return std::numeric_limits<T>::digits; } |
4909 | 793 |
4949 | 794 static int byte_size (void) { return sizeof(T); } |
795 | |
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|
796 static const char *type_name (); |
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797 |
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|
798 // The following are provided for convenience. |
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|
799 static const octave_int zero, one; |
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|
800 |
5900 | 801 // Unsafe. This function exists to support the MEX interface. |
802 // You should not use it anywhere else. | |
803 void *mex_get_data (void) const { return const_cast<T *> (&ival); } | |
804 | |
4902 | 805 private: |
806 | |
807 T ival; | |
808 }; | |
809 | |
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810 // No mixed integer binary operations! |
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|
811 |
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|
812 template <class T> |
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|
813 inline bool |
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814 xisnan (const octave_int<T>&) |
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815 { return false; } |
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816 |
8333 | 817 // FIXME -- can/should any of these be inline? |
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818 |
4902 | 819 template <class T> |
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820 extern OCTAVE_API octave_int<T> |
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821 pow (const octave_int<T>&, const octave_int<T>&); |
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822 |
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823 template <class T> |
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824 extern OCTAVE_API octave_int<T> |
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825 pow (const double& a, const octave_int<T>& b); |
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|
826 |
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827 template <class T> |
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828 extern OCTAVE_API octave_int<T> |
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|
829 pow (const octave_int<T>& a, const double& b); |
7922
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|
830 |
935be827eaf8
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831 template <class T> |
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832 extern OCTAVE_API octave_int<T> |
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833 powf (const float& a, const octave_int<T>& b); |
4952 | 834 |
835 template <class T> | |
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836 extern OCTAVE_API octave_int<T> |
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837 powf (const octave_int<T>& a, const float& b); |
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|
838 |
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|
839 // Binary relations |
4953 | 840 |
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841 #define OCTAVE_INT_CMP_OP(OP, NAME) \ |
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842 template<class T1, class T2> \ |
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843 inline bool \ |
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|
844 operator OP (const octave_int<T1>& x, const octave_int<T2>& y) \ |
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845 { return octave_int_cmp_op::op<octave_int_cmp_op::NAME, T1, T2> \ |
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846 (x.value (), y.value ()); } |
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|
847 |
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|
848 OCTAVE_INT_CMP_OP (<, lt) |
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|
849 OCTAVE_INT_CMP_OP (<=, le) |
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850 OCTAVE_INT_CMP_OP (>, gt) |
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851 OCTAVE_INT_CMP_OP (>=, ge) |
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852 OCTAVE_INT_CMP_OP (==, eq) |
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853 OCTAVE_INT_CMP_OP (!=, ne) |
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|
854 |
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|
855 #undef OCTAVE_INT_CMP_OP |
4953 | 856 |
857 template <class T> | |
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|
858 inline std::ostream& |
4902 | 859 operator << (std::ostream& os, const octave_int<T>& ival) |
860 { | |
861 os << ival.value (); | |
862 return os; | |
863 } | |
864 | |
865 template <class T> | |
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866 inline std::istream& |
4902 | 867 operator >> (std::istream& is, octave_int<T>& ival) |
868 { | |
869 T tmp = 0; | |
870 is >> tmp; | |
871 ival = tmp; | |
872 return is; | |
873 } | |
874 | |
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|
875 // Bitwise operations |
7789
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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|
876 |
4906 | 877 #define OCTAVE_INT_BITCMP_OP(OP) \ |
878 template <class T> \ | |
879 octave_int<T> \ | |
880 operator OP (const octave_int<T>& x, const octave_int<T>& y) \ | |
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|
881 { return x.value () OP y.value (); } |
4906 | 882 |
883 OCTAVE_INT_BITCMP_OP (&) | |
884 OCTAVE_INT_BITCMP_OP (|) | |
885 OCTAVE_INT_BITCMP_OP (^) | |
886 | |
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887 #undef OCTAVE_INT_BITCMP_OP |
4906 | 888 |
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|
889 // General bit shift. |
4909 | 890 template <class T> |
891 octave_int<T> | |
4920 | 892 bitshift (const octave_int<T>& a, int n, |
10312
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|
893 const octave_int<T>& mask = std::numeric_limits<T>::max ()) |
4909 | 894 { |
895 if (n > 0) | |
4952 | 896 return (a << n) & mask; |
4909 | 897 else if (n < 0) |
4952 | 898 return (a >> -n) & mask; |
4909 | 899 else |
8963
d1eab3ddb02d
oct-inttypes.h (bitshift): apply mask even if not shifting
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|
900 return a & mask; |
4909 | 901 } |
902 | |
8169
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|
903 typedef octave_int<int8_t> octave_int8; |
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904 typedef octave_int<int16_t> octave_int16; |
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905 typedef octave_int<int32_t> octave_int32; |
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906 typedef octave_int<int64_t> octave_int64; |
4902 | 907 |
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908 typedef octave_int<uint8_t> octave_uint8; |
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909 typedef octave_int<uint16_t> octave_uint16; |
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910 typedef octave_int<uint32_t> octave_uint32; |
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911 typedef octave_int<uint64_t> octave_uint64; |
5072 | 912 |
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913 #define OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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|
914 template <class T> \ |
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915 inline octave_int<T> \ |
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916 operator OP (const octave_int<T>& x, const double& y) \ |
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917 { return octave_int<T> (static_cast<double> (x) OP y); } \ |
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918 template <class T> \ |
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919 inline octave_int<T> \ |
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920 operator OP (const double& x, const octave_int<T>& y) \ |
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921 { return octave_int<T> (x OP static_cast<double> (y)); } \ |
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922 |
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923 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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924 // Handle mixed op using long double |
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925 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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926 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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927 template <> \ |
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928 inline octave_int64 \ |
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929 operator OP (const double& x, const octave_int64& y) \ |
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930 { return octave_int64 (x OP static_cast<long double> (y.value ())); } \ |
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931 template <> \ |
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932 inline octave_uint64 \ |
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|
933 operator OP (const double& x, const octave_uint64& y) \ |
8191
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934 { return octave_uint64 (x OP static_cast<long double> (y.value ())); } \ |
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935 template <> \ |
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936 inline octave_int64 \ |
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937 operator OP (const octave_int64& x, const double& y) \ |
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938 { return octave_int64 (static_cast<long double> (x.value ()) OP y); } \ |
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939 template <> \ |
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940 inline octave_uint64 \ |
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941 operator OP (const octave_uint64& x, const double& y) \ |
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942 { return octave_uint64 (static_cast<long double> (x.value ()) OP y); } |
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943 |
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944 #else |
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945 // external handlers |
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946 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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947 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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948 template <> \ |
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949 OCTAVE_API octave_int64 \ |
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950 operator OP (const double&, const octave_int64&); \ |
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951 template <> \ |
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952 OCTAVE_API octave_uint64 \ |
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953 operator OP (const double&, const octave_uint64&); \ |
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954 template <> \ |
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|
955 OCTAVE_API octave_int64 \ |
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956 operator OP (const octave_int64&, const double&); \ |
7521
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John W. Eaton <jwe@octave.org>
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957 template <> \ |
8169
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958 OCTAVE_API octave_uint64 \ |
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|
959 operator OP (const octave_uint64&, const double&); |
5072 | 960 |
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|
961 #endif |
5072 | 962 |
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963 OCTAVE_INT_DOUBLE_BIN_OP (+) |
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964 OCTAVE_INT_DOUBLE_BIN_OP (-) |
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965 OCTAVE_INT_DOUBLE_BIN_OP (*) |
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966 OCTAVE_INT_DOUBLE_BIN_OP (/) |
5072 | 967 |
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968 #undef OCTAVE_INT_DOUBLE_BIN_OP0 |
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969 #undef OCTAVE_INT_DOUBLE_BIN_OP |
5072 | 970 |
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971 #define OCTAVE_INT_DOUBLE_CMP_OP(OP,NAME) \ |
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972 template <class T> \ |
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973 inline bool \ |
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974 operator OP (const octave_int<T>& x, const double& y) \ |
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975 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x.value (), y); } \ |
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976 template <class T> \ |
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977 inline bool \ |
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978 operator OP (const double& x, const octave_int<T>& y) \ |
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979 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x, y.value ()); } |
5072 | 980 |
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981 OCTAVE_INT_DOUBLE_CMP_OP (<, lt) |
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982 OCTAVE_INT_DOUBLE_CMP_OP (<=, le) |
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983 OCTAVE_INT_DOUBLE_CMP_OP (>=, ge) |
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984 OCTAVE_INT_DOUBLE_CMP_OP (>, gt) |
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985 OCTAVE_INT_DOUBLE_CMP_OP (==, eq) |
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986 OCTAVE_INT_DOUBLE_CMP_OP (!=, ne) |
5072 | 987 |
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988 #undef OCTAVE_INT_DOUBLE_CMP_OP |
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989 |
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990 // Floats are handled by simply converting to doubles. |
5072 | 991 |
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992 #define OCTAVE_INT_FLOAT_BIN_OP(OP) \ |
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993 template <class T> \ |
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994 inline octave_int<T> \ |
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995 operator OP (const octave_int<T>& x, float y) \ |
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996 { return x OP static_cast<double> (y); } \ |
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997 template <class T> \ |
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998 inline octave_int<T> \ |
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999 operator OP (float x, const octave_int<T>& y) \ |
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1000 { return static_cast<double> (x) OP y; } |
5072 | 1001 |
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1002 OCTAVE_INT_FLOAT_BIN_OP (+) |
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1003 OCTAVE_INT_FLOAT_BIN_OP (-) |
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1004 OCTAVE_INT_FLOAT_BIN_OP (*) |
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1005 OCTAVE_INT_FLOAT_BIN_OP (/) |
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1006 |
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1007 #undef OCTAVE_INT_FLOAT_BIN_OP |
5072 | 1008 |
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1009 #define OCTAVE_INT_FLOAT_CMP_OP(OP) \ |
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1010 template <class T> \ |
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1011 inline bool \ |
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1012 operator OP (const octave_int<T>& x, const float& y) \ |
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1013 { return x OP static_cast<double> (y); } \ |
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1014 template <class T> \ |
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1015 bool \ |
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1016 operator OP (const float& x, const octave_int<T>& y) \ |
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1017 { return static_cast<double> (x) OP y; } |
4902 | 1018 |
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1019 OCTAVE_INT_FLOAT_CMP_OP (<) |
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1020 OCTAVE_INT_FLOAT_CMP_OP (<=) |
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1021 OCTAVE_INT_FLOAT_CMP_OP (>=) |
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1022 OCTAVE_INT_FLOAT_CMP_OP (>) |
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1023 OCTAVE_INT_FLOAT_CMP_OP (==) |
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1024 OCTAVE_INT_FLOAT_CMP_OP (!=) |
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1025 |
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1026 #undef OCTAVE_INT_FLOAT_CMP_OP |
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1027 |
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1028 template <class T> |
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1029 octave_int<T> |
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1030 xmax (const octave_int<T>& x, const octave_int<T>& y) |
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1031 { |
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1032 const T xv = x.value (), yv = y.value (); |
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1033 return octave_int<T> (xv >= yv ? xv : yv); |
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1034 } |
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1035 |
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1036 template <class T> |
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1037 octave_int<T> |
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1038 xmin (const octave_int<T>& x, const octave_int<T>& y) |
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1039 { |
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|
1040 const T xv = x.value (), yv = y.value (); |
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1041 return octave_int<T> (xv <= yv ? xv : yv); |
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1042 } |
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1043 |
4902 | 1044 #endif |