Mercurial > hg > octave-nkf
annotate liboctave/oct-inttypes.h @ 8870:eea0e1b45ec0
optimize string manipulation in lookfor
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Wed, 25 Feb 2009 10:21:33 +0100 |
parents | ab4db66e286f |
children | eb63fbe60fab |
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-traits.h" |
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34 #include "lo-math.h" |
5828 | 35 #include "oct-types.h" |
4953 | 36 #include "lo-ieee.h" |
4969 | 37 #include "lo-mappers.h" |
4902 | 38 |
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39 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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40 inline long double xround (long double x) { return roundl (x); } |
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41 #endif |
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42 |
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43 // Undefine min/max if needed (this may happen under Windows) |
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44 #ifdef min |
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45 #undef min |
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46 #undef max |
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47 #endif |
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48 |
8333 | 49 // FIXME -- we define this by our own because some compilers, such as |
50 // MSVC, do not provide std::abs (int64_t) and std::abs (uint64_t). In | |
51 // the future, it should go away in favor of std::abs. | |
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52 template <class T> |
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53 inline T octave_int_abs (T x) { return x >= 0 ? x : -x; } |
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54 |
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55 // Query for an integer type of certain sizeof, and signedness. |
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56 template<int qsize, bool qsigned> |
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57 struct query_integer_type |
4902 | 58 { |
59 public: | |
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60 static const bool registered = false; |
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61 typedef void type; // Void shall result in a compile-time error if we |
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62 // attempt to use it in computations. |
4902 | 63 }; |
64 | |
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65 #define REGISTER_INT_TYPE(TYPE) \ |
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66 template <> \ |
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67 class query_integer_type<sizeof (TYPE), std::numeric_limits<TYPE>::is_signed> \ |
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68 { \ |
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69 public: \ |
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70 static const bool registered = true; \ |
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71 typedef TYPE type; \ |
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72 } |
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73 |
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74 // No two registered integers can share sizeof and signedness. |
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75 REGISTER_INT_TYPE (int8_t); |
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76 REGISTER_INT_TYPE (uint8_t); |
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77 REGISTER_INT_TYPE (int16_t); |
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78 REGISTER_INT_TYPE (uint16_t); |
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79 REGISTER_INT_TYPE (int32_t); |
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80 REGISTER_INT_TYPE (uint32_t); |
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81 REGISTER_INT_TYPE (int64_t); |
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82 REGISTER_INT_TYPE (uint64_t); |
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83 |
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84 // Rationale: Comparators have a single static method, rel(), that returns the |
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85 // result of the binary relation. They also have two static boolean fields: |
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86 // ltval, gtval determine the value of x OP y if x < y, x > y, respectively. |
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87 #define REGISTER_OCTAVE_CMP_OP(NM,OP) \ |
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88 class NM \ |
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89 { \ |
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90 public: \ |
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91 static const bool ltval = (0 OP 1), gtval = (1 OP 0); \ |
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92 template <class T> \ |
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93 static bool op (T x, T y) { return x OP y; } \ |
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94 } |
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95 |
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96 // We also provide two special relations: ct, yielding always true, and cf, |
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97 // yielding always false. |
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98 #define REGISTER_OCTAVE_CONST_OP(NM,value) \ |
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99 class NM \ |
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100 { \ |
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101 public: \ |
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102 static const bool ltval = value, gtval = value; \ |
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103 template <class T> \ |
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104 static bool op (T, T) { return value; } \ |
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105 } |
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107 // Handles non-homogeneous integer comparisons. Avoids doing useless tests. |
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108 class octave_int_cmp_op |
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109 { |
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110 // This determines a suitable promotion type for T1 when meeting T2 in a |
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111 // binary relation. If promotion to int or T2 is safe, it is used. Otherwise, |
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112 // the signedness of T1 is preserved and it is widened if T2 is wider. |
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113 // Notice that if this is applied to both types, they must end up with equal |
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114 // size. |
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115 template <class T1, class T2> |
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116 class prom |
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117 { |
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118 // Promote to int? |
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119 static const bool pint = (sizeof (T1) < sizeof (int) |
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120 && sizeof (T2) < sizeof (int)); |
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121 static const bool t1sig = std::numeric_limits<T1>::is_signed; |
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122 static const bool t2sig = std::numeric_limits<T2>::is_signed; |
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123 static const bool psig = |
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124 (pint || (sizeof (T2) > sizeof (T1) && t2sig) || t1sig); |
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125 static const int psize = |
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126 (pint ? sizeof (int) : (sizeof (T2) > sizeof (T1) |
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127 ? sizeof (T2) : sizeof (T1))); |
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128 public: |
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129 typedef typename query_integer_type<psize, psig>::type type; |
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130 }; |
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132 // Implements comparisons between two types of equal size but |
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133 // possibly different signedness. |
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134 template<class xop, int size> |
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135 class uiop |
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136 { |
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137 typedef typename query_integer_type<size, false>::type utype; |
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138 typedef typename query_integer_type<size, true>::type stype; |
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139 public: |
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140 static bool op (utype x, utype y) |
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141 { return xop::op (x, y); } |
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142 static bool op (stype x, stype y) |
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143 { return xop::op (x, y); } |
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144 static bool op (stype x, utype y) |
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145 { return (x < 0) ? xop::ltval : xop::op (static_cast<utype> (x), y); } |
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146 static bool op (utype x, stype y) |
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147 { return (y < 0) ? xop::gtval : xop::op (x, static_cast<utype> (y)); } |
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148 }; |
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150 public: |
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151 REGISTER_OCTAVE_CMP_OP (lt, <); |
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152 REGISTER_OCTAVE_CMP_OP (le, <=); |
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153 REGISTER_OCTAVE_CMP_OP (gt, >); |
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154 REGISTER_OCTAVE_CMP_OP (ge, >=); |
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155 REGISTER_OCTAVE_CMP_OP (eq, ==); |
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156 REGISTER_OCTAVE_CMP_OP (ne, !=); |
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157 REGISTER_OCTAVE_CONST_OP (ct, true); |
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158 REGISTER_OCTAVE_CONST_OP (cf, false); |
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159 |
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160 // Universal comparison operation. |
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161 template<class xop, class T1, class T2> |
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162 static bool |
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163 op (T1 x, T2 y) |
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164 { |
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165 typedef typename prom<T1, T2>::type PT1; |
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166 typedef typename prom<T2, T1>::type PT2; |
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167 return uiop<xop, sizeof (PT1)>::op (static_cast<PT1> (x), |
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168 static_cast<PT2> (y)); |
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169 } |
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170 |
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171 public: |
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172 |
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173 // Mixed comparisons |
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174 template <class xop, class T> |
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175 static bool |
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176 mop (T x, double y) |
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177 { return xop::op (static_cast<double> (x), y); } |
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178 |
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179 template <class xop, class T> |
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180 static bool |
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181 mop (double x, T y) |
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182 { return xop::op (x, static_cast<double> (y)); } |
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183 |
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184 // Typecasting to doubles won't work properly for 64-bit integers - they lose precision. |
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185 // If we have long doubles, use them... |
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186 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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187 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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188 template <class xop> \ |
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189 static bool \ |
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190 mop (T1 x, T2 y) \ |
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191 { \ |
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192 return xop::op (static_cast<long double> (x), \ |
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193 static_cast<long double> (y)); \ |
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194 } |
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195 #else |
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196 // ... otherwise, use external handlers |
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197 |
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198 // FIXME: We could declare directly the mop methods as external, |
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199 // but we can't do this because bugs in gcc (<= 4.3) prevent |
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200 // explicit instantiations later in that case. |
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201 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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202 template <class xop> static OCTAVE_API bool \ |
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203 emulate_mop (T1, T2); \ |
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204 template <class xop> \ |
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205 static bool \ |
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206 mop (T1 x, T2 y) \ |
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207 { \ |
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208 return emulate_mop<xop> (x, y); \ |
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209 } |
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210 #endif |
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211 |
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212 DEFINE_LONG_DOUBLE_CMP_OP(double, uint64_t) |
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213 DEFINE_LONG_DOUBLE_CMP_OP(double, int64_t) |
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214 DEFINE_LONG_DOUBLE_CMP_OP(int64_t, double) |
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215 DEFINE_LONG_DOUBLE_CMP_OP(uint64_t, double) |
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216 |
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217 #undef DEFINE_LONG_DOUBLE_CMP_OP |
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218 }; |
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219 |
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220 // Base integer class. No data, just conversion methods and exception flags. |
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221 template <class T> |
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222 class octave_int_base |
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223 { |
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224 protected: |
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225 |
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226 static T min_val () { return std::numeric_limits<T>:: min (); } |
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227 static T max_val () { return std::numeric_limits<T>:: max (); } |
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229 public: |
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230 |
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231 // Convert integer value. |
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232 template <class S> |
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233 static T |
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234 truncate_int (const S& value) |
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235 { |
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236 // An exhaustive test whether the max and/or min check can be omitted. |
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237 static const bool t_is_signed = std::numeric_limits<T>::is_signed; |
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238 static const bool s_is_signed = std::numeric_limits<S>::is_signed; |
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239 static const int t_size = sizeof (T), s_size = sizeof (S); |
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240 static const bool omit_chk_min = |
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241 (! s_is_signed || (t_is_signed && t_size >= s_size)); |
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242 static const bool omit_chk_max = |
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243 (t_size > s_size || (t_size == s_size |
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244 && (! t_is_signed || s_is_signed))); |
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245 // If the check can be omitted, substitute constant false relation. |
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246 typedef octave_int_cmp_op::cf cf; |
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247 typedef octave_int_cmp_op::lt lt; |
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248 typedef octave_int_cmp_op::gt gt; |
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249 typedef typename if_then_else<omit_chk_min, cf, lt>::result chk_min; |
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250 typedef typename if_then_else<omit_chk_max, cf, gt>::result chk_max; |
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252 // Efficiency of the following depends on inlining and dead code |
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253 // elimination, but that should be a piece of cake for most compilers. |
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254 if (chk_min::op (value, static_cast<S> (min_val ()))) |
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255 { |
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256 ftrunc = true; |
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257 return min_val (); |
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258 } |
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259 else if (chk_max::op (value, static_cast<S> (max_val ()))) |
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260 { |
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261 ftrunc = true; |
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262 return max_val (); |
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263 } |
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264 else |
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265 return static_cast<T> (value); |
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266 } |
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268 private: |
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269 |
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270 // Computes a real-valued threshold for a max/min check. |
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271 template <class S> |
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272 static S |
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273 compute_threshold (S val, T orig_val) |
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274 { |
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275 val = xround (val); // Fool optimizations (maybe redundant) |
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276 // If val is even, but orig_val is odd, we're one unit off. |
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277 if (orig_val % 2 && val / 2 == xround (val / 2)) |
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279 val *= (static_cast<S>(1) - (std::numeric_limits<S>::epsilon () / 2)); |
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280 return val; |
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281 } |
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282 |
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283 public: |
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284 // Convert a real number (check NaN and non-int). |
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285 template <class S> |
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286 static T |
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287 convert_real (const S& value) |
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288 { |
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289 // Compute proper thresholds. |
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290 static const S thmin = compute_threshold (static_cast<S> (min_val ()), min_val ()); |
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291 static const S thmax = compute_threshold (static_cast<S> (max_val ()), max_val ()); |
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292 if (lo_ieee_isnan (value)) |
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293 { |
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294 fnan = true; |
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295 return static_cast<T> (0); |
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296 } |
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297 else if (value < thmin) |
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298 { |
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299 ftrunc = true; |
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300 return min_val (); |
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301 } |
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302 else if (value > thmax) |
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303 { |
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304 ftrunc = true; |
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305 return max_val (); |
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306 } |
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307 else |
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308 { |
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309 S rvalue = xround (value); |
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310 if (rvalue != value) fnon_int = true; |
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311 return static_cast<T> (rvalue); |
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312 } |
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313 } |
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315 // Exception flags rationale: |
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316 // There is little reason to distinguish math and conversion exceptions at |
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317 // octave_int level. Doing this would require special constructors for |
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318 // intermediate int results in math computations. |
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319 // |
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320 // Boolean flags are used rather than a single flag, because raising a boolean |
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321 // flag is faster than masking an int flag (single mov versus mov, or, mov). |
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322 // Also, it is atomic, and thus thread-safe (but there is *one* flag for all |
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323 // threads). |
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325 static bool get_trunc_flag () { return ftrunc; } |
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326 static bool get_nan_flag () { return fnan; } |
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327 static bool get_non_int_flag () { return fnon_int; } |
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328 static void clear_conv_flags () |
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329 { |
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330 ftrunc = false; |
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331 fnan = false; |
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332 fnon_int = false; |
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333 } |
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334 // For compatibility. |
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335 static bool get_math_trunc_flag () { return ftrunc || fnan; } |
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336 static void clear_conv_flag () { clear_conv_flags (); } |
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337 |
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338 protected: |
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339 |
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340 // Conversion flags. |
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341 static bool ftrunc; |
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342 static bool fnon_int; |
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343 static bool fnan; |
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344 }; |
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345 |
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346 template<class T> bool octave_int_base<T>::ftrunc = false; |
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347 template<class T> bool octave_int_base<T>::fnon_int = false; |
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348 template<class T> bool octave_int_base<T>::fnan = false; |
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349 |
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350 // Saturated (homogeneous) integer arithmetics. The signed and unsigned |
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351 // implementations are significantly different, so we implement another layer |
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352 // and completely specialize. Arithmetics inherits from octave_int_base so that |
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353 // it can use its exceptions and truncation functions. |
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354 |
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355 template <class T, bool is_signed> |
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356 class octave_int_arith_base |
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357 { }; |
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358 |
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359 // Unsigned arithmetics. C++ standard requires it to be modular, so the |
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360 // overflows can be handled efficiently and reliably. |
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361 template <class T> |
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362 class octave_int_arith_base<T, false> : octave_int_base<T> |
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363 { |
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364 public: |
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365 |
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366 static T |
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367 abs (T x) { return x; } |
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368 |
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369 static T |
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370 signum (T x) { return x ? static_cast<T> (1) : static_cast<T> (0); } |
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371 |
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372 // Shifts do not overflow. |
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373 static T |
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374 rshift (T x, int n) { return x >> n; } |
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375 |
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376 static T |
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377 lshift (T x, int n) { return x << n; } |
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378 |
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379 static T |
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380 minus (T x) |
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381 { |
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382 if (x != 0) octave_int_base<T>::ftrunc = true; |
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383 return static_cast<T> (0); |
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384 } |
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385 |
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386 // the overflow behaviour for unsigned integers is guaranteed by C/C++, |
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387 // so the following should always work. |
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388 static T |
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389 add (T x, T y) |
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390 { |
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391 T u = x + y; |
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392 if (u < x) |
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393 { |
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394 u = octave_int_base<T>::max_val (); |
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395 octave_int_base<T>::ftrunc = true; |
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396 } |
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397 return u; |
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398 } |
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399 |
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400 static T |
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401 sub (T x, T y) |
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402 { |
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403 T u = x - y; |
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404 if (u > x) |
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405 { |
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406 u = 0; |
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407 octave_int_base<T>::ftrunc = true; |
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408 } |
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409 return u; |
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410 } |
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411 |
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412 // Multiplication is done using promotion to wider integer type. If there is |
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413 // no suitable promotion type, this operation *MUST* be specialized. |
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414 static T |
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415 mul (T x, T y) |
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416 { |
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417 // Promotion type for multiplication (if exists). |
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418 typedef typename query_integer_type<2*sizeof (T), false>::type mptype; |
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419 return truncate_int (static_cast<mptype> (x) |
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420 * static_cast<mptype> (y)); |
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421 } |
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422 |
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423 // Division with rounding to nearest. Note that / and % are probably |
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424 // computed by a single instruction. |
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425 static T |
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426 div (T x, T y) |
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427 { |
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428 if (y != 0) |
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429 { |
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430 T z = x / y, w = x % y; |
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431 if (w >= y-w) z += 1; |
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432 return z; |
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433 } |
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434 else |
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435 { |
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436 octave_int_base<T>::ftrunc = true; |
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437 return x ? octave_int_base<T>::max_val () : 0; |
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438 } |
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439 } |
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440 }; |
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441 |
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442 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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443 // Handle 64-bit multiply using long double |
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444 template <> |
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445 inline uint64_t |
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446 octave_int_arith_base<uint64_t, false>:: mul (uint64_t x, uint64_t y) |
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447 { |
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448 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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449 if (p > static_cast<long double> (octave_int_base<uint64_t>::max_val ())) |
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450 { |
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451 octave_int_base<uint64_t>::ftrunc = true; |
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452 return octave_int_base<uint64_t>::max_val (); |
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453 } |
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454 else |
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455 return static_cast<uint64_t> (p); |
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456 } |
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457 #else |
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458 // Special handler for 64-bit integer multiply. |
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459 template <> |
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460 OCTAVE_API uint64_t |
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461 octave_int_arith_base<uint64_t, false>::mul (uint64_t, uint64_t); |
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462 #endif |
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463 |
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464 // Signed integer arithmetics. |
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465 // Rationale: If HAVE_FAST_INT_OPS is defined, the following conditions |
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466 // should hold: |
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467 // 1. Signed numbers are represented by twos complement |
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468 // (see <http://en.wikipedia.org/wiki/Two%27s_complement>) |
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469 // 2. static_cast to unsigned int counterpart works like interpreting |
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470 // the signed bit pattern as unsigned (and is thus zero-cost). |
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471 // 3. Signed addition and subtraction yield the same bit results as unsigned. |
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472 // (We use casts to prevent optimization interference, so there is no |
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473 // need for things like -ftrapv). |
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474 // 4. Bit operations on signed integers work like on unsigned integers, |
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475 // except for the shifts. Shifts are arithmetic. |
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476 // |
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477 // The above conditions are satisfied by most modern platforms. If |
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478 // HAVE_FAST_INT_OPS is defined, bit tricks and wraparound arithmetics are used |
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479 // to avoid conditional jumps as much as possible, thus being friendly to modern |
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480 // pipeline processor architectures. |
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481 // Otherwise, we fall back to a bullet-proof code that only uses assumptions |
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482 // guaranteed by the standard. |
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483 |
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484 template <class T> |
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485 class octave_int_arith_base<T, true> : octave_int_base<T> |
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486 { |
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487 // The corresponding unsigned type. |
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488 typedef typename query_integer_type<sizeof (T), false>::type UT; |
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489 public: |
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490 |
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491 // Returns 1 for negative number, 0 otherwise. |
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492 static T |
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493 signbit (T x) |
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494 { |
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495 #ifdef HAVE_FAST_INT_OPS |
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496 return static_cast<UT> (x) >> std::numeric_limits<T>::digits; |
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497 #else |
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498 return (x < 0) ? 1 : 0; |
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499 #endif |
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500 } |
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501 |
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502 static T |
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503 abs (T x) |
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504 { |
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505 #ifdef HAVE_FAST_INT_OPS |
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506 // This is close to how GCC does std::abs, but we can't just use std::abs, |
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507 // because its behaviour for INT_MIN is undefined and the compiler could |
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508 // discard the following test. |
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509 T m = x >> std::numeric_limits<T>::digits; |
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|
510 T y = (x ^ m) - m; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
511 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
512 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
513 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
514 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
515 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
516 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
517 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
518 // -INT_MAX is safe because C++ actually allows only three implementations |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
519 // of integers: sign & magnitude, ones complement and twos complement. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
520 // The first test will, with modest optimizations, evaluate at compile |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
521 // time, and maybe eliminate the branch completely. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
522 T y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
523 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
|
524 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
525 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
526 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
527 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
528 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
529 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
530 y = (x < 0) ? -x : x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
531 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
532 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
533 } |
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 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
536 signum (T x) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
537 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
538 // With modest optimizations, this will compile without a jump. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
539 return ((x > 0) ? 1 : 0) - signbit (x); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
540 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
541 |
8333 | 542 // FIXME -- we do not have an authority what signed shifts should |
543 // exactly do, so we define them the easy way. Note that Matlab does | |
544 // not define signed shifts. | |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
545 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
546 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
547 rshift (T x, int n) { return x >> n; } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
548 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
549 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
550 lshift (T x, int n) { return x << n; } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
551 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
552 // Minus has problems similar to abs. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
553 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
554 minus (T x) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
555 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
556 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
557 T y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
558 if (y == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
559 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
560 --y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
561 octave_int_base<T>::ftrunc = false; |
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 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
564 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
565 T y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
566 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
|
567 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
568 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
569 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
570 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
571 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
572 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
573 y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
574 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
575 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
576 } |
7521
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
577 |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
578 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
579 add (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
580 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
581 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
582 // 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
|
583 // 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
|
584 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
585 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
|
586 T ux = u ^ x, uy = u ^ y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
587 if ((ux & uy) < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
588 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
589 u = octave_int_base<T>::max_val () + signbit (~u); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
590 octave_int_base<T>::ftrunc = true; |
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 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
593 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
594 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
595 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
596 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
597 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
598 if (x < octave_int_base<T>::min_val () - 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 u = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
601 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
602 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
603 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
604 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
605 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
606 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
607 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
608 if (x > octave_int_base<T>::max_val () - 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 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
611 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
612 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
613 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
614 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
615 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
616 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
617 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
618 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
619 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
620 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
621 // This is very similar to addition. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
622 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
623 sub (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
624 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
625 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
626 // 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
|
627 // 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
|
628 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
629 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
|
630 T ux = u ^ x, uy = u ^ ~y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
631 if ((ux & uy) < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
632 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
633 u = octave_int_base<T>::max_val () + signbit (~u); |
66bc6f9b4f72
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|
634 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
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diff
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|
635 } |
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8104
diff
changeset
|
636 return u; |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
637 #else |
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diff
changeset
|
638 // We shall carefully avoid anything that may overflow. |
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8104
diff
changeset
|
639 T u; |
66bc6f9b4f72
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diff
changeset
|
640 if (y < 0) |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
641 { |
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diff
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|
642 if (x > octave_int_base<T>::max_val () + y) |
66bc6f9b4f72
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|
643 { |
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8104
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|
644 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
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|
645 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
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8104
diff
changeset
|
646 } |
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diff
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|
647 else |
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diff
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|
648 u = x - y; |
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Jaroslav Hajek <highegg@gmail.com>
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8104
diff
changeset
|
649 } |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
650 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
651 { |
66bc6f9b4f72
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diff
changeset
|
652 if (x < octave_int_base<T>::min_val () + y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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diff
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|
653 { |
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|
654 u = octave_int_base<T>::min_val (); |
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|
655 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
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8104
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|
656 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
657 else |
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diff
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|
658 u = x - y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
659 } |
66bc6f9b4f72
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parents:
8104
diff
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|
660 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
661 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
662 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
663 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
664 |
8185
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
665 // Multiplication is done using promotion to wider integer type. If there is |
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
666 // no suitable promotion type, this operation *MUST* be specialized. |
8169
66bc6f9b4f72
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8104
diff
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|
667 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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8104
diff
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|
668 mul (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
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8104
diff
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|
669 { |
66bc6f9b4f72
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parents:
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diff
changeset
|
670 // Promotion type for multiplication (if exists). |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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8104
diff
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|
671 typedef typename query_integer_type<2*sizeof (T), true>::type mptype; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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|
672 return truncate_int (static_cast<mptype> (x) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
673 * static_cast<mptype> (y)); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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8104
diff
changeset
|
674 } |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
675 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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diff
changeset
|
676 // Division. |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
677 static T |
66bc6f9b4f72
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8104
diff
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|
678 div (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
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|
679 { |
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Jaroslav Hajek <highegg@gmail.com>
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8104
diff
changeset
|
680 T z; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
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8104
diff
changeset
|
681 if (y == 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
682 { |
66bc6f9b4f72
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8104
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|
683 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
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diff
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|
684 if (x < 0) |
66bc6f9b4f72
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8104
diff
changeset
|
685 z = octave_int_base<T>::min_val (); |
66bc6f9b4f72
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8104
diff
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|
686 else if (x != 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
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8104
diff
changeset
|
687 z = octave_int_base<T>::max_val (); |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
688 else |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
689 z = 0; |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
690 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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8104
diff
changeset
|
691 else if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
692 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
693 // This is a special case that overflows as well. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
694 if (y == -1 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
695 { |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
696 octave_int_base<T>::ftrunc = true; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
697 z = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
698 } |
66bc6f9b4f72
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
699 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
700 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
701 z = x / y; |
8293
ad5bb02d267a
workaround missing std::abs(int64_t) in MSVC
Jaroslav Hajek <highegg@gmail.com>
parents:
8202
diff
changeset
|
702 T w = -octave_int_abs (x % y); // Can't overflow, but std::abs (x) can! |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
703 if (w <= y - w) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
704 z -= 1 - (signbit (x) << 1); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
705 } |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
706 } |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
707 else |
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
708 { |
66bc6f9b4f72
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8104
diff
changeset
|
709 z = x / y; |
8333 | 710 // FIXME -- this is a workaround due to MSVC's absence of |
711 // std::abs (int64_t). The call to octave_int_abs can't | |
712 // overflow, but std::abs (x) can! | |
713 T w = octave_int_abs (x % y); | |
714 | |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
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diff
changeset
|
715 if (w >= y - w) |
66bc6f9b4f72
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8104
diff
changeset
|
716 z += 1 - (signbit (x) << 1); |
66bc6f9b4f72
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parents:
8104
diff
changeset
|
717 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
718 return z; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
719 } |
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rewrite integer arithmetics and conversions
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parents:
8104
diff
changeset
|
720 |
7521
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
721 }; |
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
722 |
8185
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
723 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
69c5cce38c29
implement 64-bit arithmetics
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parents:
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diff
changeset
|
724 // Handle 64-bit multiply using long double |
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
725 template <> |
69c5cce38c29
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parents:
8169
diff
changeset
|
726 inline int64_t |
69c5cce38c29
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parents:
8169
diff
changeset
|
727 octave_int_arith_base<int64_t, true>:: mul (int64_t x, int64_t y) |
69c5cce38c29
implement 64-bit arithmetics
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parents:
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diff
changeset
|
728 { |
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
729 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
730 // NOTE: We could maybe do it with a single branch if HAVE_FAST_INT_OPS, but it |
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
731 // would require one more runtime conversion, so the question is whether it would |
69c5cce38c29
implement 64-bit arithmetics
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parents:
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diff
changeset
|
732 // really be faster. |
69c5cce38c29
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parents:
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diff
changeset
|
733 if (p > static_cast<long double> (octave_int_base<int64_t>::max_val ())) |
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
734 { |
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
735 octave_int_base<int64_t>::ftrunc = true; |
69c5cce38c29
implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
736 return octave_int_base<int64_t>::max_val (); |
69c5cce38c29
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parents:
8169
diff
changeset
|
737 } |
69c5cce38c29
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8169
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changeset
|
738 else if (p < static_cast<long double> (octave_int_base<int64_t>::min_val ())) |
69c5cce38c29
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parents:
8169
diff
changeset
|
739 { |
69c5cce38c29
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parents:
8169
diff
changeset
|
740 octave_int_base<int64_t>::ftrunc = true; |
69c5cce38c29
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parents:
8169
diff
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|
741 return octave_int_base<int64_t>::min_val (); |
69c5cce38c29
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parents:
8169
diff
changeset
|
742 } |
69c5cce38c29
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diff
changeset
|
743 else |
69c5cce38c29
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parents:
8169
diff
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|
744 return static_cast<int64_t> (p); |
69c5cce38c29
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parents:
8169
diff
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|
745 } |
69c5cce38c29
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diff
changeset
|
746 #else |
8169
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|
747 // Special handler for 64-bit integer multiply. |
66bc6f9b4f72
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diff
changeset
|
748 template <> |
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changeset
|
749 OCTAVE_API int64_t |
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diff
changeset
|
750 octave_int_arith_base<int64_t, true>::mul (int64_t, int64_t); |
8185
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implement 64-bit arithmetics
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parents:
8169
diff
changeset
|
751 #endif |
8169
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|
752 |
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changeset
|
753 // This class simply selects the proper arithmetics. |
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|
754 template<class T> |
66bc6f9b4f72
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|
755 class octave_int_arith |
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diff
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|
756 : public octave_int_arith_base<T, std::numeric_limits<T>::is_signed> |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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|
757 {}; |
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758 |
4902 | 759 template <class T> |
760 class | |
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761 octave_int : public octave_int_base<T> |
4902 | 762 { |
763 public: | |
4943 | 764 typedef T val_type; |
765 | |
4902 | 766 octave_int (void) : ival () { } |
767 | |
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768 octave_int (T i) : ival (i) { } |
4902 | 769 |
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770 octave_int (double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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771 |
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772 octave_int (float d) : ival (octave_int_base<T>::convert_real (d)) { } |
6402 | 773 |
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774 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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775 octave_int (long double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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776 #endif |
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777 |
4902 | 778 octave_int (bool b) : ival (b) { } |
779 | |
780 template <class U> | |
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781 octave_int (const U& i) : ival(octave_int_base<T>::truncate_int (i)) { } |
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782 |
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783 template <class U> |
4902 | 784 octave_int (const octave_int<U>& i) |
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785 : ival (octave_int_base<T>::truncate_int (i.value ())) { } |
4902 | 786 |
787 octave_int (const octave_int<T>& i) : ival (i.ival) { } | |
788 | |
789 octave_int& operator = (const octave_int<T>& i) | |
790 { | |
791 ival = i.ival; | |
792 return *this; | |
793 } | |
794 | |
795 T value (void) const { return ival; } | |
796 | |
4949 | 797 const unsigned char * iptr (void) const |
798 { return reinterpret_cast<const unsigned char *> (& ival); } | |
799 | |
4902 | 800 bool operator ! (void) const { return ! ival; } |
801 | |
7198 | 802 bool bool_value (void) const { return static_cast<bool> (value ()); } |
803 | |
804 char char_value (void) const { return static_cast<char> (value ()); } | |
805 | |
806 double double_value (void) const { return static_cast<double> (value ()); } | |
807 | |
808 float float_value (void) const { return static_cast<float> (value ()); } | |
809 | |
7177 | 810 operator T (void) const { return value (); } |
811 | |
7198 | 812 // char and bool operators intentionally omitted. |
5533 | 813 |
7198 | 814 operator double (void) const { return double_value (); } |
4902 | 815 |
7198 | 816 operator float (void) const { return float_value (); } |
5030 | 817 |
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818 octave_int<T> |
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819 operator + () const |
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820 { return *this; } |
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821 |
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822 // unary operators & mappers |
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823 #define OCTAVE_INT_UN_OP(OPNAME,NAME) \ |
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824 inline octave_int<T> \ |
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825 OPNAME () const \ |
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826 { return octave_int_arith<T>::NAME (ival); } |
4902 | 827 |
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828 OCTAVE_INT_UN_OP(operator -, minus) |
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829 OCTAVE_INT_UN_OP(abs, abs) |
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830 OCTAVE_INT_UN_OP(signum, signum) |
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831 |
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832 #undef OCTAVE_INT_UN_OP |
4902 | 833 |
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834 // Homogeneous binary integer operations. |
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835 #define OCTAVE_INT_BIN_OP(OP, NAME, ARGT) \ |
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836 inline octave_int<T> \ |
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837 operator OP (const ARGT& y) const \ |
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838 { return octave_int_arith<T>::NAME (ival, y); } \ |
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839 inline octave_int<T>& \ |
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840 operator OP##= (const ARGT& y) \ |
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841 { \ |
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842 ival = octave_int_arith<T>::NAME (ival, y); \ |
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843 return *this; \ |
4952 | 844 } |
845 | |
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846 OCTAVE_INT_BIN_OP(+, add, octave_int<T>) |
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847 OCTAVE_INT_BIN_OP(-, sub, octave_int<T>) |
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848 OCTAVE_INT_BIN_OP(*, mul, octave_int<T>) |
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849 OCTAVE_INT_BIN_OP(/, div, octave_int<T>) |
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850 OCTAVE_INT_BIN_OP(<<, lshift, int) |
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851 OCTAVE_INT_BIN_OP(>>, rshift, int) |
4952 | 852 |
8185
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853 #undef OCTAVE_INT_BIN_OP |
7503
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854 |
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855 static octave_int<T> min (void) { return std::numeric_limits<T>::min (); } |
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856 static octave_int<T> max (void) { return std::numeric_limits<T>::max (); } |
4906 | 857 |
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858 static int nbits (void) { return std::numeric_limits<T>::digits; } |
4909 | 859 |
4949 | 860 static int byte_size (void) { return sizeof(T); } |
861 | |
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862 static const char *type_name (); |
7997
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863 |
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864 // The following are provided for convenience. |
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865 static const octave_int zero, one; |
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866 |
5900 | 867 // Unsafe. This function exists to support the MEX interface. |
868 // You should not use it anywhere else. | |
869 void *mex_get_data (void) const { return const_cast<T *> (&ival); } | |
870 | |
4902 | 871 private: |
872 | |
873 T ival; | |
874 }; | |
875 | |
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876 // No mixed integer binary operations! |
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877 |
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878 template <class T> |
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879 inline bool |
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880 xisnan (const octave_int<T>&) |
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881 { return false; } |
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882 |
8333 | 883 // FIXME -- can/should any of these be inline? |
7997
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884 |
4902 | 885 template <class T> |
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886 extern OCTAVE_API octave_int<T> |
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887 pow (const octave_int<T>&, const octave_int<T>&); |
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888 |
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889 template <class T> |
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890 extern OCTAVE_API octave_int<T> |
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891 pow (const double& a, const octave_int<T>& b); |
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892 |
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893 template <class T> |
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894 extern OCTAVE_API octave_int<T> |
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|
895 pow (const octave_int<T>& a, const double& b); |
7922
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|
896 |
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897 template <class T> |
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898 extern OCTAVE_API octave_int<T> |
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899 powf (const float& a, const octave_int<T>& b); |
4952 | 900 |
901 template <class T> | |
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902 extern OCTAVE_API octave_int<T> |
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903 powf (const octave_int<T>& a, const float& b); |
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904 |
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905 // Binary relations |
4953 | 906 |
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907 #define OCTAVE_INT_CMP_OP(OP, NAME) \ |
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908 template<class T1, class T2> \ |
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909 inline bool \ |
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910 operator OP (const octave_int<T1>& x, const octave_int<T2>& y) \ |
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911 { return octave_int_cmp_op::op<octave_int_cmp_op::NAME, T1, T2> \ |
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912 (x.value (), y.value ()); } |
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913 |
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914 OCTAVE_INT_CMP_OP (<, lt) |
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915 OCTAVE_INT_CMP_OP (<=, le) |
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916 OCTAVE_INT_CMP_OP (>, gt) |
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917 OCTAVE_INT_CMP_OP (>=, ge) |
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918 OCTAVE_INT_CMP_OP (==, eq) |
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919 OCTAVE_INT_CMP_OP (!=, ne) |
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920 |
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921 #undef OCTAVE_INT_CMP_OP |
4953 | 922 |
923 template <class T> | |
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924 inline std::ostream& |
4902 | 925 operator << (std::ostream& os, const octave_int<T>& ival) |
926 { | |
927 os << ival.value (); | |
928 return os; | |
929 } | |
930 | |
931 template <class T> | |
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932 inline std::istream& |
4902 | 933 operator >> (std::istream& is, octave_int<T>& ival) |
934 { | |
935 T tmp = 0; | |
936 is >> tmp; | |
937 ival = tmp; | |
938 return is; | |
939 } | |
940 | |
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941 // Bitwise operations |
7789
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942 |
4906 | 943 #define OCTAVE_INT_BITCMP_OP(OP) \ |
944 template <class T> \ | |
945 octave_int<T> \ | |
946 operator OP (const octave_int<T>& x, const octave_int<T>& y) \ | |
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947 { return x.value () OP y.value (); } |
4906 | 948 |
949 OCTAVE_INT_BITCMP_OP (&) | |
950 OCTAVE_INT_BITCMP_OP (|) | |
951 OCTAVE_INT_BITCMP_OP (^) | |
952 | |
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953 #undef OCTAVE_INT_BITCMP_OP |
4906 | 954 |
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955 // General bit shift. |
4909 | 956 template <class T> |
957 octave_int<T> | |
4920 | 958 bitshift (const octave_int<T>& a, int n, |
959 const octave_int<T>& mask = std::numeric_limits<T>::max ()) | |
4909 | 960 { |
961 if (n > 0) | |
4952 | 962 return (a << n) & mask; |
4909 | 963 else if (n < 0) |
4952 | 964 return (a >> -n) & mask; |
4909 | 965 else |
966 return a; | |
967 } | |
968 | |
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969 typedef octave_int<int8_t> octave_int8; |
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970 typedef octave_int<int16_t> octave_int16; |
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971 typedef octave_int<int32_t> octave_int32; |
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972 typedef octave_int<int64_t> octave_int64; |
4902 | 973 |
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974 typedef octave_int<uint8_t> octave_uint8; |
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975 typedef octave_int<uint16_t> octave_uint16; |
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976 typedef octave_int<uint32_t> octave_uint32; |
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977 typedef octave_int<uint64_t> octave_uint64; |
5072 | 978 |
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979 #define OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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980 template <class T> \ |
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981 inline octave_int<T> \ |
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982 operator OP (const octave_int<T>& x, const double& y) \ |
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983 { return octave_int<T> (static_cast<double> (x) OP y); } \ |
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984 template <class T> \ |
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985 inline octave_int<T> \ |
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986 operator OP (const double& x, const octave_int<T>& y) \ |
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987 { return octave_int<T> (x OP static_cast<double> (y)); } \ |
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988 |
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989 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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990 // Handle mixed op using long double |
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991 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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992 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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993 template <> \ |
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994 inline octave_int64 \ |
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995 operator OP (const double& x, const octave_int64& y) \ |
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996 { return octave_int64 (x OP static_cast<long double> (y.value ())); } \ |
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997 template <> \ |
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998 inline octave_uint64 \ |
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999 operator OP (const double& x, const octave_uint64& y) \ |
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1000 { return octave_uint64 (x OP static_cast<long double> (y.value ())); } \ |
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1001 template <> \ |
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1002 inline octave_int64 \ |
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1003 operator OP (const octave_int64& x, const double& y) \ |
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1004 { return octave_int64 (static_cast<long double> (x.value ()) OP y); } \ |
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1005 template <> \ |
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1006 inline octave_uint64 \ |
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1007 operator OP (const octave_uint64& x, const double& y) \ |
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1008 { return octave_uint64 (static_cast<long double> (x.value ()) OP y); } |
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1009 |
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1010 #else |
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1011 // external handlers |
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1012 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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1013 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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1014 template <> \ |
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1015 OCTAVE_API octave_int64 \ |
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1016 operator OP (const double&, const octave_int64&); \ |
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1017 template <> \ |
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1018 OCTAVE_API octave_uint64 \ |
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1019 operator OP (const double&, const octave_uint64&); \ |
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1020 template <> \ |
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1021 OCTAVE_API octave_int64 \ |
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1022 operator OP (const octave_int64&, const double&); \ |
7521
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1023 template <> \ |
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1024 OCTAVE_API octave_uint64 \ |
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1025 operator OP (const octave_uint64&, const double&); |
5072 | 1026 |
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1027 #endif |
5072 | 1028 |
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1029 OCTAVE_INT_DOUBLE_BIN_OP (+) |
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1030 OCTAVE_INT_DOUBLE_BIN_OP (-) |
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1031 OCTAVE_INT_DOUBLE_BIN_OP (*) |
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1032 OCTAVE_INT_DOUBLE_BIN_OP (/) |
5072 | 1033 |
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1034 #undef OCTAVE_INT_DOUBLE_BIN_OP0 |
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1035 #undef OCTAVE_INT_DOUBLE_BIN_OP |
5072 | 1036 |
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1037 #define OCTAVE_INT_DOUBLE_CMP_OP(OP,NAME) \ |
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1038 template <class T> \ |
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1039 inline bool \ |
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1040 operator OP (const octave_int<T>& x, const double& y) \ |
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1041 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x.value (), y); } \ |
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1042 template <class T> \ |
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1043 inline bool \ |
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1044 operator OP (const double& x, const octave_int<T>& y) \ |
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1045 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x, y.value ()); } |
5072 | 1046 |
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1047 OCTAVE_INT_DOUBLE_CMP_OP (<, lt) |
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1048 OCTAVE_INT_DOUBLE_CMP_OP (<=, le) |
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1049 OCTAVE_INT_DOUBLE_CMP_OP (>=, ge) |
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1050 OCTAVE_INT_DOUBLE_CMP_OP (>, gt) |
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1051 OCTAVE_INT_DOUBLE_CMP_OP (==, eq) |
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1052 OCTAVE_INT_DOUBLE_CMP_OP (!=, ne) |
5072 | 1053 |
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1054 #undef OCTAVE_INT_DOUBLE_CMP_OP |
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1055 |
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1056 // Floats are handled by simply converting to doubles. |
5072 | 1057 |
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1058 #define OCTAVE_INT_FLOAT_BIN_OP(OP) \ |
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1059 template <class T> \ |
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1060 inline octave_int<T> \ |
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1061 operator OP (const octave_int<T>& x, float y) \ |
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1062 { return x OP static_cast<double> (y); } \ |
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1063 template <class T> \ |
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1064 inline octave_int<T> \ |
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1065 operator OP (float x, const octave_int<T>& y) \ |
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1066 { return static_cast<double> (x) OP y; } |
5072 | 1067 |
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1068 OCTAVE_INT_FLOAT_BIN_OP (+) |
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1069 OCTAVE_INT_FLOAT_BIN_OP (-) |
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1070 OCTAVE_INT_FLOAT_BIN_OP (*) |
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1071 OCTAVE_INT_FLOAT_BIN_OP (/) |
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1072 |
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1073 #undef OCTAVE_INT_FLOAT_BIN_OP |
5072 | 1074 |
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1075 #define OCTAVE_INT_FLOAT_CMP_OP(OP) \ |
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1076 template <class T> \ |
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1077 inline bool \ |
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1078 operator OP (const octave_int<T>& x, const float& y) \ |
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1079 { return x OP static_cast<double> (y); } \ |
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1080 template <class T> \ |
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1081 bool \ |
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Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1082 operator OP (const float& x, const octave_int<T>& y) \ |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1083 { return static_cast<double> (x) OP y; } |
4902 | 1084 |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1085 OCTAVE_INT_FLOAT_CMP_OP (<) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1086 OCTAVE_INT_FLOAT_CMP_OP (<=) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1087 OCTAVE_INT_FLOAT_CMP_OP (>=) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1088 OCTAVE_INT_FLOAT_CMP_OP (>) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1089 OCTAVE_INT_FLOAT_CMP_OP (==) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1090 OCTAVE_INT_FLOAT_CMP_OP (!=) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
1091 |
8185
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
1092 #undef OCTAVE_INT_FLOAT_CMP_OP |
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
1093 |
4902 | 1094 #endif |
1095 | |
1096 /* | |
1097 ;;; Local Variables: *** | |
1098 ;;; mode: C++ *** | |
1099 ;;; End: *** | |
1100 */ |