Mercurial > hg > octave-nkf
annotate liboctave/oct-inttypes.h @ 8185:69c5cce38c29
implement 64-bit arithmetics
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Mon, 06 Oct 2008 21:38:49 +0200 |
parents | 66bc6f9b4f72 |
children | 9cb73236e552 |
rev | line source |
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4902 | 1 /* |
2 | |
7017 | 3 Copyright (C) 2004, 2005, 2006, 2007 John W. Eaton |
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4 Copyright (C) 2008 Jaroslav Hajek <highegg@gmail.com> |
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> |
31 #include <iostream> | |
32 | |
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33 #include "lo-math.h" |
5828 | 34 #include "oct-types.h" |
4953 | 35 #include "lo-ieee.h" |
4969 | 36 #include "lo-mappers.h" |
4902 | 37 |
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38 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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39 inline long double xround (long double x) { return roundl (x); } |
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40 #endif |
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41 |
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42 // Query for an integer type of certain sizeof, and signedness. |
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43 template<int qsize, bool qsigned> |
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44 struct query_integer_type |
4902 | 45 { |
46 public: | |
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47 static const bool registered = false; |
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48 typedef void type; // Void shall result in a compile-time error if we |
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49 // attempt to use it in computations. |
4902 | 50 }; |
51 | |
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52 #define REGISTER_INT_TYPE(TYPE) \ |
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53 template <> \ |
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54 class query_integer_type<sizeof (TYPE), std::numeric_limits<TYPE>::is_signed> \ |
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55 { \ |
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56 public: \ |
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57 static const bool registered = true; \ |
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58 typedef TYPE type; \ |
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59 } |
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60 |
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61 // No two registered integers can share sizeof and signedness. |
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62 REGISTER_INT_TYPE (int8_t); |
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63 REGISTER_INT_TYPE (uint8_t); |
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64 REGISTER_INT_TYPE (int16_t); |
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65 REGISTER_INT_TYPE (uint16_t); |
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66 REGISTER_INT_TYPE (int32_t); |
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67 REGISTER_INT_TYPE (uint32_t); |
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68 REGISTER_INT_TYPE (int64_t); |
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69 REGISTER_INT_TYPE (uint64_t); |
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70 |
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71 // Selects one of two types, according to a static bool. May be useful in |
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72 // general. |
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73 |
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74 template<bool cond, class TT, class FT> |
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75 class if_else_type |
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76 { |
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77 public: |
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78 typedef FT type; |
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79 }; |
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81 template<class TT, class FT> |
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82 class if_else_type<true, TT, FT> |
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83 { |
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84 public: |
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85 typedef TT type; |
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86 }; |
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87 |
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88 // Rationale: Comparators have a single static method, rel(), that returns the |
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89 // result of the binary relation. They also have two static boolean fields: |
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90 // ltval, gtval determine the value of x OP y if x < y, x > y, respectively. |
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91 #define REGISTER_OCTAVE_CMP_OP(NM,OP) \ |
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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 = (0 OP 1), gtval = (1 OP 0); \ |
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96 template <class T> \ |
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97 static bool op (T x, T y) { return x OP y; } \ |
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98 } |
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99 |
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100 // We also provide two special relations: ct, yielding always true, and cf, |
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101 // yielding always false. |
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102 #define REGISTER_OCTAVE_CONST_OP(NM,value) \ |
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103 class NM \ |
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104 { \ |
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105 public: \ |
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106 static const bool ltval = value, gtval = value; \ |
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107 template <class T> \ |
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108 static bool op (T, T) { return value; } \ |
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109 } |
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111 // Handles non-homogeneous integer comparisons. Avoids doing useless tests. |
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112 class octave_int_cmp_op |
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113 { |
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114 // This determines a suitable promotion type for T1 when meeting T2 in a |
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115 // binary relation. If promotion to int or T2 is safe, it is used. Otherwise, |
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116 // the signedness of T1 is preserved and it is widened if T2 is wider. |
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117 // Notice that if this is applied to both types, they must end up with equal |
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118 // size. |
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119 template <class T1, class T2> |
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120 class prom |
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121 { |
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122 // Promote to int? |
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123 static const bool pint = (sizeof (T1) < sizeof (int) |
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124 && sizeof (T2) < sizeof (int)); |
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125 static const bool t1sig = std::numeric_limits<T1>::is_signed; |
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126 static const bool t2sig = std::numeric_limits<T2>::is_signed; |
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127 static const bool psig = |
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128 (pint || (sizeof (T2) > sizeof (T1) && t2sig) || t1sig); |
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129 static const int psize = |
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130 (pint ? sizeof (int) : (sizeof (T2) > sizeof (T1) |
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131 ? sizeof (T2) : sizeof (T1))); |
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132 public: |
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133 typedef typename query_integer_type<psize, psig>::type type; |
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134 }; |
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136 // Implements comparisons between two types of equal size but |
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137 // possibly different signedness. |
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138 template<class xop, int size> |
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139 class uiop |
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140 { |
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141 typedef typename query_integer_type<size, false>::type utype; |
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142 typedef typename query_integer_type<size, true>::type stype; |
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143 public: |
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144 static bool op (utype x, utype y) |
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145 { return xop::op (x, y); } |
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146 static bool op (stype x, stype y) |
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147 { return xop::op (x, y); } |
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148 static bool op (stype x, utype y) |
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149 { return (x < 0) ? xop::ltval : xop::op (static_cast<utype> (x), y); } |
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150 static bool op (utype x, stype y) |
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151 { return (y < 0) ? xop::gtval : xop::op (x, static_cast<utype> (y)); } |
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152 }; |
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154 public: |
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155 REGISTER_OCTAVE_CMP_OP (lt, <); |
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156 REGISTER_OCTAVE_CMP_OP (le, <=); |
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157 REGISTER_OCTAVE_CMP_OP (gt, >); |
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158 REGISTER_OCTAVE_CMP_OP (ge, >=); |
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159 REGISTER_OCTAVE_CMP_OP (eq, ==); |
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160 REGISTER_OCTAVE_CMP_OP (ne, !=); |
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161 REGISTER_OCTAVE_CONST_OP (ct, true); |
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162 REGISTER_OCTAVE_CONST_OP (cf, false); |
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163 |
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164 // Universal comparison operation. |
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165 template<class xop, class T1, class T2> |
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166 static bool |
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167 op (T1 x, T2 y) |
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168 { |
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169 typedef typename prom<T1, T2>::type PT1; |
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170 typedef typename prom<T2, T1>::type PT2; |
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171 return uiop<xop, sizeof (PT1)>::op (static_cast<PT1> (x), |
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172 static_cast<PT2> (y)); |
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173 } |
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174 |
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175 public: |
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176 |
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177 // Mixed comparisons |
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178 template <class xop, class T> |
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179 static bool |
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180 mop (T x, double y) |
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181 { return xop::op (static_cast<double> (x), y); } |
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182 |
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183 template <class xop, class T> |
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184 static bool |
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185 mop (double x, T y) |
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186 { return xop::op (x, static_cast<double> (y)); } |
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187 |
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188 // Typecasting to doubles won't work properly for 64-bit integers - they lose precision. |
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189 // If we have long doubles, use them... |
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190 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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191 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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192 template <class xop> \ |
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193 static bool \ |
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194 mop (T1 x, T2 y) \ |
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195 { \ |
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196 return xop::op (static_cast<long double> (x), \ |
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197 static_cast<long double> (y)); \ |
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198 } |
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199 DEFINE_LONG_DOUBLE_CMP_OP(double, uint64_t) |
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200 DEFINE_LONG_DOUBLE_CMP_OP(double, int64_t) |
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201 DEFINE_LONG_DOUBLE_CMP_OP(int64_t, double) |
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202 DEFINE_LONG_DOUBLE_CMP_OP(uint64_t, double) |
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203 #undef DEFINE_LONG_DOUBLE_CMP_OP |
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204 |
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205 #else |
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206 // ... otherwise, use external handlers |
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207 template <class xop> static OCTAVE_API bool mop (uint64_t, double); |
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208 template <class xop> static OCTAVE_API bool mop (int64_t, double); |
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209 template <class xop> static OCTAVE_API bool mop (double, uint64_t); |
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210 template <class xop> static OCTAVE_API bool mop (double, int64_t); |
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211 #endif |
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212 |
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213 }; |
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214 |
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215 // Base integer class. No data, just conversion methods and exception flags. |
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216 template <class T> |
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217 class octave_int_base |
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218 { |
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219 protected: |
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220 |
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221 static T min_val () { return std::numeric_limits<T>:: min (); } |
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222 static T max_val () { return std::numeric_limits<T>:: max (); } |
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224 public: |
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225 |
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226 // Convert integer value. |
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227 template <class S> |
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228 static T |
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229 truncate_int (const S& value) |
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230 { |
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231 // An exhaustive test whether the max and/or min check can be omitted. |
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232 static const bool t_is_signed = std::numeric_limits<T>::is_signed; |
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233 static const bool s_is_signed = std::numeric_limits<S>::is_signed; |
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234 static const int t_size = sizeof (T), s_size = sizeof (S); |
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235 static const bool omit_chk_min = |
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236 (! s_is_signed || (t_is_signed && t_size >= s_size)); |
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237 static const bool omit_chk_max = |
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238 (t_size > s_size || (t_size == s_size |
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239 && (! t_is_signed || s_is_signed))); |
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240 // If the check can be omitted, substitute constant false relation. |
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241 typedef octave_int_cmp_op::cf cf; |
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242 typedef octave_int_cmp_op::lt lt; |
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243 typedef octave_int_cmp_op::gt gt; |
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244 typedef typename if_else_type<omit_chk_min, cf, lt>::type chk_min; |
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245 typedef typename if_else_type<omit_chk_max, cf, gt>::type chk_max; |
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247 // Efficiency of the following depends on inlining and dead code |
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248 // elimination, but that should be a piece of cake for most compilers. |
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249 if (chk_min::op (value, static_cast<S> (min_val ()))) |
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250 { |
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251 ftrunc = true; |
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252 return min_val (); |
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253 } |
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254 else if (chk_max::op (value, static_cast<S> (max_val ()))) |
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255 { |
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256 ftrunc = true; |
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257 return max_val (); |
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258 } |
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259 else |
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260 return static_cast<T> (value); |
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261 } |
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263 private: |
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264 |
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265 // Computes a real-valued threshold for a max/min check. |
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266 template <class S> |
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267 static S |
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268 compute_threshold (S val, T orig_val) |
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269 { |
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270 if (static_cast <T> (val) != orig_val) |
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271 return val; |
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272 else |
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273 // Next number away from zero. |
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274 return val * (static_cast<S> (1.0) + std::numeric_limits<S>::epsilon ()); |
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275 } |
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276 |
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277 public: |
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278 // Convert a real number (check NaN and non-int). |
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279 template <class S> |
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280 static T |
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281 convert_real (const S& value) |
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282 { |
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283 // Compute proper thresholds. |
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284 static const S thmin = compute_threshold (static_cast<S> (min_val ()), min_val ()); |
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285 static const S thmax = compute_threshold (static_cast<S> (max_val ()), max_val ()); |
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286 if (lo_ieee_isnan (value)) |
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287 { |
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288 fnan = true; |
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289 return static_cast<T> (0); |
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290 } |
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291 else if (value <= thmin) |
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292 { |
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293 octave_int_base<T>::ftrunc = true; |
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294 return min_val (); |
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295 } |
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296 else if (value >= thmax) |
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297 { |
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298 ftrunc = true; |
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299 return max_val (); |
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300 } |
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301 else |
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302 { |
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303 S rvalue = xround (value); |
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304 if (rvalue != value) fnon_int = true; |
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305 return static_cast<T> (rvalue); |
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306 } |
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307 } |
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309 // Exception flags rationale: |
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310 // There is little reason to distinguish math and conversion exceptions at |
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311 // octave_int level. Doing this would require special constructors for |
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312 // intermediate int results in math computations. |
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313 // |
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314 // Boolean flags are used rather than a single flag, because raising a boolean |
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315 // flag is faster than masking an int flag (single mov versus mov, or, mov). |
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316 // Also, it is atomic, and thus thread-safe (but there is *one* flag for all |
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317 // threads). |
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319 static bool get_trunc_flag () { return ftrunc; } |
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320 static bool get_nan_flag () { return fnan; } |
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321 static bool get_non_int_flag () { return fnon_int; } |
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322 static void clear_conv_flags () |
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323 { |
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324 ftrunc = false; |
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325 fnan = false; |
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326 fnon_int = false; |
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327 } |
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328 // For compatibility. |
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329 static bool get_math_trunc_flag () { return ftrunc || fnan; } |
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330 static void clear_conv_flag () { clear_conv_flags (); } |
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331 |
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332 protected: |
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333 |
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334 // Conversion flags. |
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335 static bool ftrunc; |
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336 static bool fnon_int; |
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337 static bool fnan; |
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338 }; |
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339 |
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340 template<class T> bool octave_int_base<T>::ftrunc = false; |
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341 template<class T> bool octave_int_base<T>::fnon_int = false; |
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342 template<class T> bool octave_int_base<T>::fnan = false; |
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343 |
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344 // Saturated (homogeneous) integer arithmetics. The signed and unsigned |
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345 // implementations are significantly different, so we implement another layer |
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346 // and completely specialize. Arithmetics inherits from octave_int_base so that |
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347 // it can use its exceptions and truncation functions. |
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348 |
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349 template <class T, bool is_signed> |
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350 class octave_int_arith_base |
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351 { }; |
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352 |
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353 // Unsigned arithmetics. C++ standard requires it to be modular, so the |
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354 // overflows can be handled efficiently and reliably. |
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355 template <class T> |
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356 class octave_int_arith_base<T, false> : octave_int_base<T> |
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357 { |
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358 public: |
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359 |
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360 static T |
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361 abs (T x) { return x; } |
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362 |
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363 static T |
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364 signum (T x) { return x ? static_cast<T> (1) : static_cast<T> (0); } |
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365 |
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366 // Shifts do not overflow. |
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367 static T |
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368 rshift (T x, int n) { return x >> n; } |
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369 |
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370 static T |
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371 lshift (T x, int n) { return x << n; } |
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372 |
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373 static T |
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374 minus (T x) |
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375 { |
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376 if (x != 0) octave_int_base<T>::ftrunc = true; |
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377 return static_cast<T> (0); |
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378 } |
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379 |
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380 // the overflow behaviour for unsigned integers is guaranteed by C/C++, |
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381 // so the following should always work. |
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382 static T |
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383 add (T x, T y) |
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384 { |
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385 T u = x + y; |
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386 if (u < x) |
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387 { |
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388 u = octave_int_base<T>::max_val (); |
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389 octave_int_base<T>::ftrunc = true; |
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390 } |
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391 return u; |
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392 } |
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393 |
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394 static T |
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395 sub (T x, T y) |
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396 { |
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397 T u = x - y; |
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398 if (u > x) |
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399 { |
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400 u = 0; |
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401 octave_int_base<T>::ftrunc = true; |
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402 } |
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403 return u; |
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404 } |
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405 |
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406 // Multiplication is done using promotion to wider integer type. If there is |
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407 // no suitable promotion type, this operation *MUST* be specialized. |
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408 static T |
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409 mul (T x, T y) |
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410 { |
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411 // Promotion type for multiplication (if exists). |
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412 typedef typename query_integer_type<2*sizeof (T), false>::type mptype; |
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413 return truncate_int (static_cast<mptype> (x) |
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414 * static_cast<mptype> (y)); |
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415 } |
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416 |
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417 // Division with rounding to nearest. Note that / and % are probably |
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418 // computed by a single instruction. |
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419 static T |
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420 div (T x, T y) |
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421 { |
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422 if (y != 0) |
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423 { |
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424 T z = x / y, w = x % y; |
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425 if (w >= y-w) z += 1; |
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426 return z; |
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427 } |
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428 else |
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429 { |
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430 octave_int_base<T>::ftrunc = true; |
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431 return x ? octave_int_base<T>::max_val () : 0; |
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432 } |
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433 } |
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434 }; |
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435 |
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436 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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437 // Handle 64-bit multiply using long double |
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438 template <> |
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439 inline uint64_t |
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440 octave_int_arith_base<uint64_t, false>:: mul (uint64_t x, uint64_t y) |
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441 { |
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442 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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443 if (p > static_cast<long double> (octave_int_base<uint64_t>::max_val ())) |
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444 { |
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445 octave_int_base<uint64_t>::ftrunc = true; |
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446 return octave_int_base<uint64_t>::max_val (); |
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447 } |
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448 else |
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449 return static_cast<uint64_t> (p); |
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450 } |
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451 #else |
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452 // Special handler for 64-bit integer multiply. |
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453 template <> |
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454 OCTAVE_API uint64_t |
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455 octave_int_arith_base<uint64_t, false>::mul (uint64_t, uint64_t); |
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456 #endif |
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457 |
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458 // Signed integer arithmetics. |
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459 // Rationale: If HAVE_FAST_INT_OPS is defined, the following conditions |
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460 // should hold: |
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461 // 1. Signed numbers are represented by twos complement |
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462 // (see <http://en.wikipedia.org/wiki/Two%27s_complement>) |
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463 // 2. static_cast to unsigned int counterpart works like interpreting |
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464 // the signed bit pattern as unsigned (and is thus zero-cost). |
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465 // 3. Signed addition and subtraction yield the same bit results as unsigned. |
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466 // (We use casts to prevent optimization interference, so there is no |
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467 // need for things like -ftrapv). |
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468 // 4. Bit operations on signed integers work like on unsigned integers, |
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469 // except for the shifts. Shifts are arithmetic. |
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470 // |
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471 // The above conditions are satisfied by most modern platforms. If |
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472 // HAVE_FAST_INT_OPS is defined, bit tricks and wraparound arithmetics are used |
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473 // to avoid conditional jumps as much as possible, thus being friendly to modern |
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474 // pipeline processor architectures. |
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475 // Otherwise, we fall back to a bullet-proof code that only uses assumptions |
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476 // guaranteed by the standard. |
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477 |
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478 template <class T> |
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479 class octave_int_arith_base<T, true> : octave_int_base<T> |
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480 { |
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481 // The corresponding unsigned type. |
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482 typedef typename query_integer_type<sizeof (T), false>::type UT; |
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483 public: |
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484 |
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485 // Returns 1 for negative number, 0 otherwise. |
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486 static T |
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487 signbit (T x) |
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488 { |
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489 #ifdef HAVE_FAST_INT_OPS |
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490 return static_cast<UT> (x) >> std::numeric_limits<T>::digits; |
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491 #else |
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492 return (x < 0) ? 1 : 0; |
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493 #endif |
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494 } |
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495 |
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496 static T |
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497 abs (T x) |
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498 { |
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499 #ifdef HAVE_FAST_INT_OPS |
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500 // This is close to how GCC does std::abs, but we can't just use std::abs, |
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501 // because its behaviour for INT_MIN is undefined and the compiler could |
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502 // discard the following test. |
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503 T m = x >> std::numeric_limits<T>::digits; |
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504 T y = (x ^ m) - m; |
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505 if (y < 0) |
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506 { |
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507 y = octave_int_base<T>::max_val (); |
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508 octave_int_base<T>::ftrunc = true; |
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509 } |
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510 return y; |
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511 #else |
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|
512 // -INT_MAX is safe because C++ actually allows only three implementations |
66bc6f9b4f72
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parents:
8104
diff
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|
513 // of integers: sign & magnitude, ones complement and twos complement. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
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|
514 // The first test will, with modest optimizations, evaluate at compile |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
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diff
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|
515 // time, and maybe eliminate the branch completely. |
66bc6f9b4f72
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parents:
8104
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changeset
|
516 T y; |
66bc6f9b4f72
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parents:
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diff
changeset
|
517 if (octave_int_base<T>::min_val () < -octave_int_base<T>::max_val () |
66bc6f9b4f72
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parents:
8104
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|
518 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
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|
519 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
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|
520 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
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parents:
8104
diff
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|
521 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
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parents:
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|
522 } |
66bc6f9b4f72
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parents:
8104
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|
523 else |
66bc6f9b4f72
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parents:
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|
524 y = (x < 0) ? -x : x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
525 return y; |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
526 #endif |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
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changeset
|
527 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
528 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
529 static T |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
530 signum (T x) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
531 { |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
532 // With modest optimizations, this will compile without a jump. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
533 return ((x > 0) ? 1 : 0) - signbit (x); |
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 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
536 // TODO: We do not have an authority what signed shifts should exactly do, so |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
537 // we define them the easy way. Note that Matlab does not define signed |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
538 // shifts. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
539 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
540 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
541 rshift (T x, int n) { return x >> n; } |
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 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
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diff
changeset
|
544 lshift (T x, int n) { return x << n; } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
545 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
546 // Minus has problems similar to abs. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
547 static T |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
548 minus (T x) |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
549 { |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
550 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
551 T y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
552 if (y == octave_int_base<T>::min_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 --y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
555 octave_int_base<T>::ftrunc = false; |
66bc6f9b4f72
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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 return y; |
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 T y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
560 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
|
561 && x == octave_int_base<T>::min_val ()) |
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 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
564 octave_int_base<T>::ftrunc = true; |
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 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
567 y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
568 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
569 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
570 } |
7521
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
571 |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
572 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
573 add (T x, T y) |
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 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
576 // 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
|
577 // 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
|
578 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
579 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
|
580 T ux = u ^ x, uy = u ^ y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
581 if ((ux & uy) < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
582 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
583 u = octave_int_base<T>::max_val () + signbit (~u); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
584 octave_int_base<T>::ftrunc = true; |
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 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
587 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
588 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
589 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
590 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
591 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
592 if (x < octave_int_base<T>::min_val () - y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
593 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
594 u = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
595 octave_int_base<T>::ftrunc = true; |
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 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
598 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
599 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
600 else |
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 if (x > octave_int_base<T>::max_val () - y) |
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 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
605 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
606 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
607 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
608 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
609 } |
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 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
612 #endif |
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 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
615 // This is very similar to addition. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
616 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
617 sub (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
618 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
619 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
620 // 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
|
621 // 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
|
622 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
623 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
|
624 T ux = u ^ x, uy = u ^ ~y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
625 if ((ux & uy) < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
626 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
627 u = octave_int_base<T>::max_val () + signbit (~u); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
628 octave_int_base<T>::ftrunc = true; |
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 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
631 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
632 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
633 T u; |
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|
634 if (y < 0) |
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|
635 { |
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|
636 if (x > octave_int_base<T>::max_val () + y) |
66bc6f9b4f72
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|
637 { |
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|
638 u = octave_int_base<T>::max_val (); |
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639 octave_int_base<T>::ftrunc = true; |
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|
640 } |
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|
641 else |
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642 u = x - y; |
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|
643 } |
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|
644 else |
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|
645 { |
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|
646 if (x < octave_int_base<T>::min_val () + y) |
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|
647 { |
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648 u = octave_int_base<T>::min_val (); |
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649 octave_int_base<T>::ftrunc = true; |
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|
650 } |
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|
651 else |
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|
652 u = x - y; |
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|
653 } |
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|
654 |
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|
655 return u; |
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|
656 #endif |
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Jaroslav Hajek <highegg@gmail.com>
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8104
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|
657 } |
66bc6f9b4f72
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8104
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|
658 |
8185
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|
659 // Multiplication is done using promotion to wider integer type. If there is |
69c5cce38c29
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|
660 // no suitable promotion type, this operation *MUST* be specialized. |
8169
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|
661 static T |
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|
662 mul (T x, T y) |
66bc6f9b4f72
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|
663 { |
66bc6f9b4f72
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|
664 // Promotion type for multiplication (if exists). |
66bc6f9b4f72
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|
665 typedef typename query_integer_type<2*sizeof (T), true>::type mptype; |
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|
666 return truncate_int (static_cast<mptype> (x) |
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|
667 * static_cast<mptype> (y)); |
66bc6f9b4f72
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|
668 } |
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8104
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|
669 |
66bc6f9b4f72
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|
670 // Division. |
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|
671 static T |
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|
672 div (T x, T y) |
66bc6f9b4f72
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8104
diff
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|
673 { |
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Jaroslav Hajek <highegg@gmail.com>
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8104
diff
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|
674 T z; |
66bc6f9b4f72
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diff
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|
675 if (y == 0) |
66bc6f9b4f72
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|
676 { |
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|
677 octave_int_base<T>::ftrunc = true; |
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|
678 if (x < 0) |
66bc6f9b4f72
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|
679 z = octave_int_base<T>::min_val (); |
66bc6f9b4f72
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|
680 else if (x != 0) |
66bc6f9b4f72
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8104
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|
681 z = octave_int_base<T>::max_val (); |
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|
682 else |
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|
683 z = 0; |
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|
684 } |
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diff
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|
685 else if (y < 0) |
66bc6f9b4f72
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8104
diff
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|
686 { |
66bc6f9b4f72
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8104
diff
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|
687 // This is a special case that overflows as well. |
66bc6f9b4f72
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8104
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|
688 if (y == -1 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
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8104
diff
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|
689 { |
66bc6f9b4f72
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8104
diff
changeset
|
690 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
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8104
diff
changeset
|
691 z = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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8104
diff
changeset
|
692 } |
66bc6f9b4f72
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diff
changeset
|
693 else |
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8104
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|
694 { |
66bc6f9b4f72
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|
695 z = x / y; |
66bc6f9b4f72
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|
696 T w = -std::abs (x % y); // Can't overflow, but std::abs (x) can! |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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8104
diff
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|
697 if (w <= y - w) |
66bc6f9b4f72
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diff
changeset
|
698 z -= 1 - (signbit (x) << 1); |
66bc6f9b4f72
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8104
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|
699 } |
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|
700 } |
66bc6f9b4f72
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diff
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|
701 else |
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8104
diff
changeset
|
702 { |
66bc6f9b4f72
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diff
changeset
|
703 z = x / y; |
66bc6f9b4f72
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|
704 T w = std::abs (x % y); // Can't overflow, but std::abs (x) can! |
66bc6f9b4f72
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changeset
|
705 if (w >= y - w) |
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diff
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|
706 z += 1 - (signbit (x) << 1); |
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rewrite integer arithmetics and conversions
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8104
diff
changeset
|
707 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
708 return z; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
709 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
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|
710 |
7521
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
711 }; |
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
712 |
8185
69c5cce38c29
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8169
diff
changeset
|
713 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
69c5cce38c29
implement 64-bit arithmetics
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changeset
|
714 // Handle 64-bit multiply using long double |
69c5cce38c29
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Jaroslav Hajek <highegg@gmail.com>
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|
715 template <> |
69c5cce38c29
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|
716 inline int64_t |
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diff
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|
717 octave_int_arith_base<int64_t, true>:: mul (int64_t x, int64_t y) |
69c5cce38c29
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|
718 { |
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changeset
|
719 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
69c5cce38c29
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changeset
|
720 // NOTE: We could maybe do it with a single branch if HAVE_FAST_INT_OPS, but it |
69c5cce38c29
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|
721 // would require one more runtime conversion, so the question is whether it would |
69c5cce38c29
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|
722 // really be faster. |
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|
723 if (p > static_cast<long double> (octave_int_base<int64_t>::max_val ())) |
69c5cce38c29
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|
724 { |
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diff
changeset
|
725 octave_int_base<int64_t>::ftrunc = true; |
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|
726 return octave_int_base<int64_t>::max_val (); |
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|
727 } |
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|
728 else if (p < static_cast<long double> (octave_int_base<int64_t>::min_val ())) |
69c5cce38c29
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diff
changeset
|
729 { |
69c5cce38c29
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8169
diff
changeset
|
730 octave_int_base<int64_t>::ftrunc = true; |
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parents:
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|
731 return octave_int_base<int64_t>::min_val (); |
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|
732 } |
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|
733 else |
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|
734 return static_cast<int64_t> (p); |
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|
735 } |
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|
736 #else |
8169
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|
737 // Special handler for 64-bit integer multiply. |
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|
738 template <> |
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|
739 OCTAVE_API int64_t |
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|
740 octave_int_arith_base<int64_t, true>::mul (int64_t, int64_t); |
8185
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diff
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|
741 #endif |
8169
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|
742 |
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|
743 // This class simply selects the proper arithmetics. |
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|
744 template<class T> |
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745 class octave_int_arith |
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|
746 : public octave_int_arith_base<T, std::numeric_limits<T>::is_signed> |
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|
747 {}; |
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|
748 |
4902 | 749 template <class T> |
750 class | |
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|
751 octave_int : public octave_int_base<T> |
4902 | 752 { |
753 public: | |
4943 | 754 typedef T val_type; |
755 | |
4902 | 756 octave_int (void) : ival () { } |
757 | |
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|
758 octave_int (T i) : ival (i) { } |
4902 | 759 |
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|
760 octave_int (double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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761 |
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762 octave_int (float d) : ival (octave_int_base<T>::convert_real (d)) { } |
6402 | 763 |
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764 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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765 octave_int (long double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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766 #endif |
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767 |
4902 | 768 octave_int (bool b) : ival (b) { } |
769 | |
770 template <class U> | |
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771 octave_int (const U& i) : ival(octave_int_base<T>::truncate_int (i)) { } |
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772 |
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773 template <class U> |
4902 | 774 octave_int (const octave_int<U>& i) |
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775 : ival (octave_int_base<T>::truncate_int (i.value ())) { } |
4902 | 776 |
777 octave_int (const octave_int<T>& i) : ival (i.ival) { } | |
778 | |
779 octave_int& operator = (const octave_int<T>& i) | |
780 { | |
781 ival = i.ival; | |
782 return *this; | |
783 } | |
784 | |
785 T value (void) const { return ival; } | |
786 | |
4949 | 787 const unsigned char * iptr (void) const |
788 { return reinterpret_cast<const unsigned char *> (& ival); } | |
789 | |
4902 | 790 bool operator ! (void) const { return ! ival; } |
791 | |
7198 | 792 bool bool_value (void) const { return static_cast<bool> (value ()); } |
793 | |
794 char char_value (void) const { return static_cast<char> (value ()); } | |
795 | |
796 double double_value (void) const { return static_cast<double> (value ()); } | |
797 | |
798 float float_value (void) const { return static_cast<float> (value ()); } | |
799 | |
7177 | 800 operator T (void) const { return value (); } |
801 | |
7198 | 802 // char and bool operators intentionally omitted. |
5533 | 803 |
7198 | 804 operator double (void) const { return double_value (); } |
4902 | 805 |
7198 | 806 operator float (void) const { return float_value (); } |
5030 | 807 |
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808 octave_int<T> |
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809 operator + () const |
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810 { return *this; } |
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811 |
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812 // unary operators & mappers |
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813 #define OCTAVE_INT_UN_OP(OPNAME,NAME) \ |
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814 inline octave_int<T> \ |
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815 OPNAME () const \ |
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816 { return octave_int_arith<T>::NAME (ival); } |
4902 | 817 |
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818 OCTAVE_INT_UN_OP(operator -, minus) |
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819 OCTAVE_INT_UN_OP(abs, abs) |
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820 OCTAVE_INT_UN_OP(signum, signum) |
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821 |
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822 #undef OCTAVE_INT_UN_OP |
4902 | 823 |
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824 // Homogeneous binary integer operations. |
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825 #define OCTAVE_INT_BIN_OP(OP, NAME, ARGT) \ |
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826 inline octave_int<T> \ |
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827 operator OP (const ARGT& y) const \ |
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828 { return octave_int_arith<T>::NAME (ival, y); } \ |
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829 inline octave_int<T>& \ |
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830 operator OP##= (const ARGT& y) \ |
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831 { \ |
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832 ival = octave_int_arith<T>::NAME (ival, y); \ |
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833 return *this; \ |
4952 | 834 } |
835 | |
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836 OCTAVE_INT_BIN_OP(+, add, octave_int<T>) |
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837 OCTAVE_INT_BIN_OP(-, sub, octave_int<T>) |
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838 OCTAVE_INT_BIN_OP(*, mul, octave_int<T>) |
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839 OCTAVE_INT_BIN_OP(/, div, octave_int<T>) |
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840 OCTAVE_INT_BIN_OP(<<, lshift, int) |
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841 OCTAVE_INT_BIN_OP(>>, rshift, int) |
4952 | 842 |
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843 #undef OCTAVE_INT_BIN_OP |
7503
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844 |
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845 static octave_int<T> min (void) { return std::numeric_limits<T>::min (); } |
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846 static octave_int<T> max (void) { return std::numeric_limits<T>::max (); } |
4906 | 847 |
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848 static int nbits (void) { return std::numeric_limits<T>::digits; } |
4909 | 849 |
4949 | 850 static int byte_size (void) { return sizeof(T); } |
851 | |
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852 static const char *type_name (); |
7997
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853 |
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854 // The following are provided for convenience. |
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855 static const octave_int zero, one; |
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856 |
5900 | 857 // Unsafe. This function exists to support the MEX interface. |
858 // You should not use it anywhere else. | |
859 void *mex_get_data (void) const { return const_cast<T *> (&ival); } | |
860 | |
4902 | 861 private: |
862 | |
863 T ival; | |
864 }; | |
865 | |
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866 // No mixed integer binary operations! |
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867 |
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868 template <class T> |
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869 inline bool |
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870 xisnan (const octave_int<T>&) |
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871 { return false; } |
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872 |
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873 // TODO: Can/should any of these be inline? |
7997
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874 |
4902 | 875 template <class T> |
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876 extern OCTAVE_API octave_int<T> |
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877 pow (const octave_int<T>&, const octave_int<T>&); |
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878 |
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879 template <class T> |
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880 extern OCTAVE_API octave_int<T> |
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881 pow (const double& a, const octave_int<T>& b); |
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882 |
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883 template <class T> |
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884 extern OCTAVE_API octave_int<T> |
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885 pow (const octave_int<T>& a, const double& b); |
7922
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|
886 |
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887 template <class T> |
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888 extern OCTAVE_API octave_int<T> |
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889 powf (const float& a, const octave_int<T>& b); |
4952 | 890 |
891 template <class T> | |
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892 extern OCTAVE_API octave_int<T> |
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893 powf (const octave_int<T>& a, const float& b); |
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894 |
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895 // Binary relations |
4953 | 896 |
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897 #define OCTAVE_INT_CMP_OP(OP, NAME) \ |
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898 template<class T1, class T2> \ |
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899 inline bool \ |
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900 operator OP (const octave_int<T1>& x, const octave_int<T2>& y) \ |
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901 { return octave_int_cmp_op::op<octave_int_cmp_op::NAME, T1, T2> \ |
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902 (x.value (), y.value ()); } |
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903 |
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904 OCTAVE_INT_CMP_OP (<, lt) |
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905 OCTAVE_INT_CMP_OP (<=, le) |
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906 OCTAVE_INT_CMP_OP (>, gt) |
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907 OCTAVE_INT_CMP_OP (>=, ge) |
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908 OCTAVE_INT_CMP_OP (==, eq) |
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909 OCTAVE_INT_CMP_OP (!=, ne) |
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910 |
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911 #undef OCTAVE_INT_CMP_OP |
4953 | 912 |
913 template <class T> | |
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914 inline std::ostream& |
4902 | 915 operator << (std::ostream& os, const octave_int<T>& ival) |
916 { | |
917 os << ival.value (); | |
918 return os; | |
919 } | |
920 | |
921 template <class T> | |
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922 inline std::istream& |
4902 | 923 operator >> (std::istream& is, octave_int<T>& ival) |
924 { | |
925 T tmp = 0; | |
926 is >> tmp; | |
927 ival = tmp; | |
928 return is; | |
929 } | |
930 | |
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931 // Bitwise operations |
7789
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932 |
4906 | 933 #define OCTAVE_INT_BITCMP_OP(OP) \ |
934 template <class T> \ | |
935 octave_int<T> \ | |
936 operator OP (const octave_int<T>& x, const octave_int<T>& y) \ | |
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937 { return x.value () OP y.value (); } |
4906 | 938 |
939 OCTAVE_INT_BITCMP_OP (&) | |
940 OCTAVE_INT_BITCMP_OP (|) | |
941 OCTAVE_INT_BITCMP_OP (^) | |
942 | |
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943 #undef OCTAVE_INT_BITCMP_OP |
4906 | 944 |
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945 // General bit shift. |
4909 | 946 template <class T> |
947 octave_int<T> | |
4920 | 948 bitshift (const octave_int<T>& a, int n, |
949 const octave_int<T>& mask = std::numeric_limits<T>::max ()) | |
4909 | 950 { |
951 if (n > 0) | |
4952 | 952 return (a << n) & mask; |
4909 | 953 else if (n < 0) |
4952 | 954 return (a >> -n) & mask; |
4909 | 955 else |
956 return a; | |
957 } | |
958 | |
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959 typedef octave_int<int8_t> octave_int8; |
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960 typedef octave_int<int16_t> octave_int16; |
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961 typedef octave_int<int32_t> octave_int32; |
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962 typedef octave_int<int64_t> octave_int64; |
4902 | 963 |
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964 typedef octave_int<uint8_t> octave_uint8; |
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965 typedef octave_int<uint16_t> octave_uint16; |
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966 typedef octave_int<uint32_t> octave_uint32; |
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967 typedef octave_int<uint64_t> octave_uint64; |
5072 | 968 |
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969 #define OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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970 template <class T> \ |
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971 inline octave_int<T> \ |
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972 operator OP (const octave_int<T>& x, const double& y) \ |
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973 { return octave_int<T> (static_cast<double> (x) OP y); } \ |
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974 template <class T> \ |
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975 inline octave_int<T> \ |
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976 operator OP (const double& x, const octave_int<T>& y) \ |
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977 { return octave_int<T> (x OP static_cast<double> (y)); } \ |
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978 |
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979 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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980 // Handle mixed op using long double |
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981 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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982 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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983 template <> \ |
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984 inline octave_int64 \ |
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985 operator OP (const double& x, const octave_int64& y) \ |
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986 { return octave_int64 (x OP static_cast<long double> (y.value ())); } \ |
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987 template <> \ |
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988 inline octave_uint64 \ |
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989 operator OP (const double& x, const octave_uint64& y) \ |
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990 { return octave_int64 (x OP static_cast<long double> (y.value ())); } \ |
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991 template <> \ |
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992 inline octave_int64 \ |
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993 operator OP (const octave_int64& x, const double& y) \ |
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994 { return octave_int64 (static_cast<long double> (x.value ()) OP y); } \ |
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995 template <> \ |
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996 inline octave_uint64 \ |
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997 operator OP (const octave_uint64& x, const double& y) \ |
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998 { return octave_int64 (static_cast<long double> (x.value ()) OP y); } |
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999 |
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1000 #else |
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1001 // external handlers |
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1002 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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1003 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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1004 template <> \ |
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1005 OCTAVE_API octave_int64 \ |
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1006 operator OP (const double&, const octave_int64&); \ |
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1007 template <> \ |
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1008 OCTAVE_API octave_uint64 \ |
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1009 operator OP (const double&, const octave_uint64&); \ |
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1010 template <> \ |
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1011 OCTAVE_API octave_int64 \ |
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1012 operator OP (const octave_int64&, const double&); \ |
7521
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7503
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1013 template <> \ |
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1014 OCTAVE_API octave_uint64 \ |
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1015 operator OP (const octave_uint64&, const double&); |
5072 | 1016 |
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1017 #endif |
5072 | 1018 |
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1019 OCTAVE_INT_DOUBLE_BIN_OP (+) |
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1020 OCTAVE_INT_DOUBLE_BIN_OP (-) |
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1021 OCTAVE_INT_DOUBLE_BIN_OP (*) |
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1022 OCTAVE_INT_DOUBLE_BIN_OP (/) |
5072 | 1023 |
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1024 #undef OCTAVE_INT_DOUBLE_BIN_OP0 |
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1025 #undef OCTAVE_INT_DOUBLE_BIN_OP |
5072 | 1026 |
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1027 #define OCTAVE_INT_DOUBLE_CMP_OP(OP,NAME) \ |
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1028 template <class T> \ |
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1029 inline bool \ |
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1030 operator OP (const octave_int<T>& x, const double& y) \ |
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1031 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x.value (), y); } \ |
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1032 template <class T> \ |
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1033 inline bool \ |
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|
1034 operator OP (const double& x, const octave_int<T>& y) \ |
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1035 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x, y.value ()); } |
5072 | 1036 |
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1037 OCTAVE_INT_DOUBLE_CMP_OP (<, lt) |
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1038 OCTAVE_INT_DOUBLE_CMP_OP (<=, le) |
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1039 OCTAVE_INT_DOUBLE_CMP_OP (>=, ge) |
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1040 OCTAVE_INT_DOUBLE_CMP_OP (>, gt) |
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1041 OCTAVE_INT_DOUBLE_CMP_OP (==, eq) |
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1042 OCTAVE_INT_DOUBLE_CMP_OP (!=, ne) |
5072 | 1043 |
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1044 #undef OCTAVE_INT_DOUBLE_CMP_OP |
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1045 |
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1046 // Floats are handled by simply converting to doubles. |
5072 | 1047 |
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1048 #define OCTAVE_INT_FLOAT_BIN_OP(OP) \ |
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1049 template <class T> \ |
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1050 inline octave_int<T> \ |
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1051 operator OP (const octave_int<T>& x, float y) \ |
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1052 { return x OP static_cast<double> (y); } \ |
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1053 template <class T> \ |
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1054 inline octave_int<T> \ |
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1055 operator OP (float x, const octave_int<T>& y) \ |
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1056 { return static_cast<double> (x) OP y; } |
5072 | 1057 |
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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 OCTAVE_INT_FLOAT_BIN_OP (*) |
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1061 OCTAVE_INT_FLOAT_BIN_OP (/) |
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1062 |
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1063 #undef OCTAVE_INT_FLOAT_BIN_OP |
5072 | 1064 |
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1065 #define OCTAVE_INT_FLOAT_CMP_OP(OP) \ |
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1066 template <class T> \ |
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1067 inline bool \ |
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1068 operator OP (const octave_int<T>& x, const float& y) \ |
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1069 { return x OP static_cast<double> (y); } \ |
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1070 template <class T> \ |
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1071 bool \ |
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1072 operator OP (const float& x, const octave_int<T>& y) \ |
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1073 { return static_cast<double> (x) OP y; } |
4902 | 1074 |
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1075 OCTAVE_INT_FLOAT_CMP_OP (<) |
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1076 OCTAVE_INT_FLOAT_CMP_OP (<=) |
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1077 OCTAVE_INT_FLOAT_CMP_OP (>=) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1078 OCTAVE_INT_FLOAT_CMP_OP (>) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1079 OCTAVE_INT_FLOAT_CMP_OP (==) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1080 OCTAVE_INT_FLOAT_CMP_OP (!=) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1081 |
8185
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
1082 #undef OCTAVE_INT_FLOAT_CMP_OP |
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
1083 |
4902 | 1084 #endif |
1085 | |
1086 /* | |
1087 ;;; Local Variables: *** | |
1088 ;;; mode: C++ *** | |
1089 ;;; End: *** | |
1090 */ |