Mercurial > hg > octave-nkf
annotate liboctave/oct-inttypes.h @ 13012:15eefbd9d4e8
Implement a few missing automatic bsxfun power operators
* bsxfun-decl.h: Declare mixed integer-float bsxfun power operators.
* int8NDArray.h: Ditto.
* int16NDArray.h: Ditto.
* int32NDArray.h: Ditto.
* int64NDArray.h: Ditto.
* uint8NDArray.h: Ditto.
* uint16NDArray.h: Ditto.
* uint32NDArray.h: Ditto.
* uint64NDArray.h: Ditto.
* bsxfun-defs.cc: Define mixed integer-float bsxfun power operators.
* int8NDArray.cc: Ditto.
* int16NDArray.cc: Ditto.
* int32NDArray.cc: Ditto.
* int64NDArray.cc: Ditto.
* uint8NDArray.cc: Ditto.
* uint16NDArray.cc: Ditto.
* uint32NDArray.cc: Ditto.
* uint64NDArray.cc: Ditto.
* fNDArray.h: Declare mixed float-complex bsxfun power operators.
* fNDArray.cc: Define mixed float-complex bsxfun power operators.
* oct-inttypes.cc: Declare overloaded pow(integer, float) functions.
* oct-inttypes.cc: Define and instantiate overloaded pow(integer, float) functions.
* op-int.h: Remove casts so that mixed-type bsxfun_pow functions are called now.
* xpow.cc: Cast to complex arrays if pow returns non-real; call bsxfun
on a few missing functions
author | Jordi Gutiérrez Hermoso <jordigh@gmail.com> |
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date | Fri, 26 Aug 2011 21:57:23 -0500 |
parents | 12df7854fa7c |
children | 28ddb3150943 |
rev | line source |
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4902 | 1 /* |
2 | |
11523 | 3 Copyright (C) 2004-2011 John W. Eaton |
4 Copyright (C) 2008-2009 Jaroslav Hajek | |
4902 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
4902 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
4902 | 21 |
22 */ | |
23 | |
24 #if !defined (octave_inttypes_h) | |
25 #define octave_inttypes_h 1 | |
26 | |
6482 | 27 #include <climits> |
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28 #include <cstdlib> |
6482 | 29 |
4902 | 30 #include <limits> |
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31 #include <iosfwd> |
4902 | 32 |
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33 #include "lo-traits.h" |
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34 #include "lo-math.h" |
4969 | 35 #include "lo-mappers.h" |
4902 | 36 |
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37 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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38 inline long double xround (long double x) { return roundl (x); } |
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39 inline long double xisnan (long double x) { return xisnan (static_cast<double> (x)); } |
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40 #endif |
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41 |
8333 | 42 // FIXME -- we define this by our own because some compilers, such as |
43 // MSVC, do not provide std::abs (int64_t) and std::abs (uint64_t). In | |
44 // the future, it should go away in favor of std::abs. | |
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45 template <class T> |
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46 inline T octave_int_abs (T x) { return x >= 0 ? x : -x; } |
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47 |
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48 // Query for an integer type of certain sizeof, and signedness. |
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49 template<int qsize, bool qsigned> |
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50 struct query_integer_type |
4902 | 51 { |
52 public: | |
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53 static const bool registered = false; |
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54 typedef void type; // Void shall result in a compile-time error if we |
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55 // attempt to use it in computations. |
4902 | 56 }; |
57 | |
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58 #define REGISTER_INT_TYPE(TYPE) \ |
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59 template <> \ |
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60 class query_integer_type<sizeof (TYPE), std::numeric_limits<TYPE>::is_signed> \ |
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61 { \ |
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62 public: \ |
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63 static const bool registered = true; \ |
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64 typedef TYPE type; \ |
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65 } |
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66 |
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67 // No two registered integers can share sizeof and signedness. |
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68 REGISTER_INT_TYPE (int8_t); |
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69 REGISTER_INT_TYPE (uint8_t); |
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70 REGISTER_INT_TYPE (int16_t); |
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71 REGISTER_INT_TYPE (uint16_t); |
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72 REGISTER_INT_TYPE (int32_t); |
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73 REGISTER_INT_TYPE (uint32_t); |
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74 REGISTER_INT_TYPE (int64_t); |
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75 REGISTER_INT_TYPE (uint64_t); |
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76 |
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77 // Rationale: Comparators have a single static method, rel(), that returns the |
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78 // result of the binary relation. They also have two static boolean fields: |
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79 // ltval, gtval determine the value of x OP y if x < y, x > y, respectively. |
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80 #define REGISTER_OCTAVE_CMP_OP(NM,OP) \ |
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81 class NM \ |
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82 { \ |
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83 public: \ |
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84 static const bool ltval = (0 OP 1), gtval = (1 OP 0); \ |
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85 template <class T> \ |
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86 static bool op (T x, T y) { return x OP y; } \ |
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87 } |
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88 |
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89 // We also provide two special relations: ct, yielding always true, and cf, |
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90 // yielding always false. |
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91 #define REGISTER_OCTAVE_CONST_OP(NM,value) \ |
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92 class NM \ |
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93 { \ |
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94 public: \ |
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95 static const bool ltval = value, gtval = value; \ |
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96 template <class T> \ |
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97 static bool op (T, T) { return value; } \ |
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98 } |
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100 // Handles non-homogeneous integer comparisons. Avoids doing useless tests. |
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101 class octave_int_cmp_op |
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102 { |
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103 // This determines a suitable promotion type for T1 when meeting T2 in a |
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104 // binary relation. If promotion to int or T2 is safe, it is used. Otherwise, |
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105 // the signedness of T1 is preserved and it is widened if T2 is wider. |
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106 // Notice that if this is applied to both types, they must end up with equal |
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107 // size. |
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108 template <class T1, class T2> |
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109 class prom |
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110 { |
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111 // Promote to int? |
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112 static const bool pint = (sizeof (T1) < sizeof (int) |
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113 && sizeof (T2) < sizeof (int)); |
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114 static const bool t1sig = std::numeric_limits<T1>::is_signed; |
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115 static const bool t2sig = std::numeric_limits<T2>::is_signed; |
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116 static const bool psig = |
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117 (pint || (sizeof (T2) > sizeof (T1) && t2sig) || t1sig); |
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118 static const int psize = |
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119 (pint ? sizeof (int) : (sizeof (T2) > sizeof (T1) |
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120 ? sizeof (T2) : sizeof (T1))); |
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121 public: |
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122 typedef typename query_integer_type<psize, psig>::type type; |
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123 }; |
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125 // Implements comparisons between two types of equal size but |
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126 // possibly different signedness. |
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127 template<class xop, int size> |
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128 class uiop |
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129 { |
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130 typedef typename query_integer_type<size, false>::type utype; |
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131 typedef typename query_integer_type<size, true>::type stype; |
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132 public: |
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133 static bool op (utype x, utype y) |
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134 { return xop::op (x, y); } |
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135 static bool op (stype x, stype y) |
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136 { return xop::op (x, y); } |
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137 static bool op (stype x, utype y) |
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138 { return (x < 0) ? xop::ltval : xop::op (static_cast<utype> (x), y); } |
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139 static bool op (utype x, stype y) |
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140 { return (y < 0) ? xop::gtval : xop::op (x, static_cast<utype> (y)); } |
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141 }; |
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143 public: |
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144 REGISTER_OCTAVE_CMP_OP (lt, <); |
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145 REGISTER_OCTAVE_CMP_OP (le, <=); |
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146 REGISTER_OCTAVE_CMP_OP (gt, >); |
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147 REGISTER_OCTAVE_CMP_OP (ge, >=); |
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148 REGISTER_OCTAVE_CMP_OP (eq, ==); |
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149 REGISTER_OCTAVE_CMP_OP (ne, !=); |
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150 REGISTER_OCTAVE_CONST_OP (ct, true); |
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151 REGISTER_OCTAVE_CONST_OP (cf, false); |
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152 |
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153 // Universal comparison operation. |
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154 template<class xop, class T1, class T2> |
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155 static bool |
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156 op (T1 x, T2 y) |
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157 { |
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158 typedef typename prom<T1, T2>::type PT1; |
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159 typedef typename prom<T2, T1>::type PT2; |
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160 return uiop<xop, sizeof (PT1)>::op (static_cast<PT1> (x), |
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161 static_cast<PT2> (y)); |
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162 } |
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163 |
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164 public: |
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165 |
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166 // Mixed comparisons |
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167 template <class xop, class T> |
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168 static bool |
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169 mop (T x, double y) |
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170 { return xop::op (static_cast<double> (x), y); } |
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171 |
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172 template <class xop, class T> |
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173 static bool |
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174 mop (double x, T y) |
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175 { return xop::op (x, static_cast<double> (y)); } |
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176 |
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177 // Typecasting to doubles won't work properly for 64-bit integers - they lose precision. |
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178 // If we have long doubles, use them... |
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179 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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180 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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181 template <class xop> \ |
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182 static bool \ |
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183 mop (T1 x, T2 y) \ |
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184 { \ |
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185 return xop::op (static_cast<long double> (x), \ |
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186 static_cast<long double> (y)); \ |
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187 } |
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188 #else |
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189 // ... otherwise, use external handlers |
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190 |
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191 // FIXME: We could declare directly the mop methods as external, |
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192 // but we can't do this because bugs in gcc (<= 4.3) prevent |
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193 // explicit instantiations later in that case. |
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194 #define DEFINE_LONG_DOUBLE_CMP_OP(T1, T2) \ |
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195 template <class xop> static OCTAVE_API bool \ |
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196 emulate_mop (T1, T2); \ |
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197 template <class xop> \ |
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198 static bool \ |
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199 mop (T1 x, T2 y) \ |
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200 { \ |
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201 return emulate_mop<xop> (x, y); \ |
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202 } |
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203 #endif |
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204 |
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205 DEFINE_LONG_DOUBLE_CMP_OP(double, uint64_t) |
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206 DEFINE_LONG_DOUBLE_CMP_OP(double, int64_t) |
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207 DEFINE_LONG_DOUBLE_CMP_OP(int64_t, double) |
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208 DEFINE_LONG_DOUBLE_CMP_OP(uint64_t, double) |
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209 |
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210 #undef DEFINE_LONG_DOUBLE_CMP_OP |
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211 }; |
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212 |
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213 // Base integer class. No data, just conversion methods and exception flags. |
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214 template <class T> |
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215 class octave_int_base |
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216 { |
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217 protected: |
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218 |
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219 static T min_val () { return std::numeric_limits<T>:: min (); } |
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220 static T max_val () { return std::numeric_limits<T>:: max (); } |
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222 public: |
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223 |
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224 // Convert integer value. |
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225 template <class S> |
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226 static T |
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227 truncate_int (const S& value) |
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228 { |
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229 // An exhaustive test whether the max and/or min check can be omitted. |
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230 static const bool t_is_signed = std::numeric_limits<T>::is_signed; |
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231 static const bool s_is_signed = std::numeric_limits<S>::is_signed; |
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232 static const int t_size = sizeof (T), s_size = sizeof (S); |
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233 static const bool omit_chk_min = |
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234 (! s_is_signed || (t_is_signed && t_size >= s_size)); |
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235 static const bool omit_chk_max = |
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236 (t_size > s_size || (t_size == s_size |
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237 && (! t_is_signed || s_is_signed))); |
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238 // If the check can be omitted, substitute constant false relation. |
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239 typedef octave_int_cmp_op::cf cf; |
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240 typedef octave_int_cmp_op::lt lt; |
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241 typedef octave_int_cmp_op::gt gt; |
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242 typedef typename if_then_else<omit_chk_min, cf, lt>::result chk_min; |
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243 typedef typename if_then_else<omit_chk_max, cf, gt>::result chk_max; |
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245 // Efficiency of the following depends on inlining and dead code |
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246 // elimination, but that should be a piece of cake for most compilers. |
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247 if (chk_min::op (value, static_cast<S> (min_val ()))) |
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248 { |
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249 return min_val (); |
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250 } |
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251 else if (chk_max::op (value, static_cast<S> (max_val ()))) |
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252 { |
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253 return max_val (); |
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254 } |
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255 else |
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256 return static_cast<T> (value); |
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257 } |
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259 private: |
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260 |
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261 // Computes a real-valued threshold for a max/min check. |
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262 template <class S> |
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263 static S |
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264 compute_threshold (S val, T orig_val) |
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265 { |
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266 val = xround (val); // Fool optimizations (maybe redundant) |
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267 // If val is even, but orig_val is odd, we're one unit off. |
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268 if (orig_val % 2 && val / 2 == xround (val / 2)) |
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270 val *= (static_cast<S>(1) - (std::numeric_limits<S>::epsilon () / 2)); |
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271 return val; |
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272 } |
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273 |
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274 public: |
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275 // Convert a real number (check NaN and non-int). |
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276 template <class S> |
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277 static T |
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278 convert_real (const S& value) |
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279 { |
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280 // Compute proper thresholds. |
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281 static const S thmin = compute_threshold (static_cast<S> (min_val ()), min_val ()); |
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282 static const S thmax = compute_threshold (static_cast<S> (max_val ()), max_val ()); |
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283 if (xisnan (value)) |
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284 { |
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285 return static_cast<T> (0); |
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286 } |
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287 else if (value < thmin) |
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288 { |
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289 return min_val (); |
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290 } |
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291 else if (value > thmax) |
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292 { |
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293 return max_val (); |
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294 } |
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295 else |
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296 { |
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297 S rvalue = xround (value); |
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298 return static_cast<T> (rvalue); |
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299 } |
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300 } |
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301 }; |
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302 |
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303 // Saturated (homogeneous) integer arithmetics. The signed and unsigned |
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304 // implementations are significantly different, so we implement another layer |
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305 // and completely specialize. Arithmetics inherits from octave_int_base so that |
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306 // it can use its exceptions and truncation functions. |
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307 |
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308 template <class T, bool is_signed> |
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309 class octave_int_arith_base |
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310 { }; |
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311 |
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312 // Unsigned arithmetics. C++ standard requires it to be modular, so the |
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313 // overflows can be handled efficiently and reliably. |
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314 template <class T> |
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315 class octave_int_arith_base<T, false> : octave_int_base<T> |
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316 { |
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317 public: |
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318 |
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319 static T |
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320 abs (T x) { return x; } |
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321 |
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322 static T |
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323 signum (T x) { return x ? static_cast<T> (1) : static_cast<T> (0); } |
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324 |
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325 // Shifts do not overflow. |
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326 static T |
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327 rshift (T x, int n) { return x >> n; } |
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328 |
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329 static T |
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330 lshift (T x, int n) { return x << n; } |
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331 |
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332 static T |
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333 minus (T) |
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334 { |
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335 return static_cast<T> (0); |
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336 } |
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337 |
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338 // the overflow behaviour for unsigned integers is guaranteed by C/C++, |
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339 // so the following should always work. |
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340 static T |
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341 add (T x, T y) |
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342 { |
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343 T u = x + y; |
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344 if (u < x) |
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345 { |
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346 u = octave_int_base<T>::max_val (); |
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347 } |
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348 return u; |
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349 } |
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350 |
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351 static T |
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352 sub (T x, T y) |
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353 { |
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354 T u = x - y; |
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355 if (u > x) |
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356 { |
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357 u = 0; |
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358 } |
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359 return u; |
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360 } |
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361 |
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362 // Multiplication is done using promotion to wider integer type. If there is |
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363 // no suitable promotion type, this operation *MUST* be specialized. |
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364 static T |
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365 mul (T x, T y) |
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366 { |
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367 // Promotion type for multiplication (if exists). |
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368 typedef typename query_integer_type<2*sizeof (T), false>::type mptype; |
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369 return truncate_int (static_cast<mptype> (x) |
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370 * static_cast<mptype> (y)); |
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371 } |
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372 |
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373 // Division with rounding to nearest. Note that / and % are probably |
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374 // computed by a single instruction. |
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375 static T |
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376 div (T x, T y) |
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377 { |
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378 if (y != 0) |
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379 { |
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380 T z = x / y, w = x % y; |
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381 if (w >= y-w) z += 1; |
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382 return z; |
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383 } |
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384 else |
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385 { |
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386 return x ? octave_int_base<T>::max_val () : 0; |
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387 } |
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388 } |
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389 |
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390 // Remainder. |
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391 static T |
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392 rem (T x, T y) |
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393 { |
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394 return y != 0 ? x % y : 0; |
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395 } |
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396 |
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397 // Modulus. Note the weird y = 0 case for Matlab compatibility. |
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398 static T |
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399 mod (T x, T y) |
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400 { |
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401 return y != 0 ? x % y : x; |
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402 } |
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403 }; |
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404 |
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405 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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406 // Handle 64-bit multiply using long double |
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407 template <> |
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408 inline uint64_t |
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409 octave_int_arith_base<uint64_t, false>:: mul (uint64_t x, uint64_t y) |
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410 { |
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411 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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412 if (p > static_cast<long double> (octave_int_base<uint64_t>::max_val ())) |
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413 { |
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414 return octave_int_base<uint64_t>::max_val (); |
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415 } |
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416 else |
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417 return static_cast<uint64_t> (p); |
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418 } |
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419 #else |
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420 // Special handler for 64-bit integer multiply. |
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421 template <> |
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422 OCTAVE_API uint64_t |
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423 octave_int_arith_base<uint64_t, false>::mul (uint64_t, uint64_t); |
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424 #endif |
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425 |
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426 // Signed integer arithmetics. |
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427 // Rationale: If HAVE_FAST_INT_OPS is defined, the following conditions |
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428 // should hold: |
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429 // 1. Signed numbers are represented by twos complement |
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430 // (see <http://en.wikipedia.org/wiki/Two%27s_complement>) |
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431 // 2. static_cast to unsigned int counterpart works like interpreting |
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432 // the signed bit pattern as unsigned (and is thus zero-cost). |
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433 // 3. Signed addition and subtraction yield the same bit results as unsigned. |
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434 // (We use casts to prevent optimization interference, so there is no |
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435 // need for things like -ftrapv). |
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436 // 4. Bit operations on signed integers work like on unsigned integers, |
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437 // except for the shifts. Shifts are arithmetic. |
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438 // |
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439 // The above conditions are satisfied by most modern platforms. If |
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440 // HAVE_FAST_INT_OPS is defined, bit tricks and wraparound arithmetics are used |
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441 // to avoid conditional jumps as much as possible, thus being friendly to modern |
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442 // pipeline processor architectures. |
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443 // Otherwise, we fall back to a bullet-proof code that only uses assumptions |
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444 // guaranteed by the standard. |
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445 |
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446 template <class T> |
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447 class octave_int_arith_base<T, true> : octave_int_base<T> |
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448 { |
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449 // The corresponding unsigned type. |
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450 typedef typename query_integer_type<sizeof (T), false>::type UT; |
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451 public: |
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452 |
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453 // Returns 1 for negative number, 0 otherwise. |
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454 static T |
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455 signbit (T x) |
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456 { |
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457 #ifdef HAVE_FAST_INT_OPS |
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458 return static_cast<UT> (x) >> std::numeric_limits<T>::digits; |
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459 #else |
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460 return (x < 0) ? 1 : 0; |
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461 #endif |
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462 } |
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463 |
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464 static T |
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465 abs (T x) |
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466 { |
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467 #ifdef HAVE_FAST_INT_OPS |
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468 // This is close to how GCC does std::abs, but we can't just use std::abs, |
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469 // because its behaviour for INT_MIN is undefined and the compiler could |
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470 // discard the following test. |
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471 T m = x >> std::numeric_limits<T>::digits; |
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472 T y = (x ^ m) - m; |
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473 if (y < 0) |
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474 { |
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475 y = octave_int_base<T>::max_val (); |
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476 } |
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477 return y; |
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478 #else |
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479 // -INT_MAX is safe because C++ actually allows only three implementations |
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480 // of integers: sign & magnitude, ones complement and twos complement. |
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481 // The first test will, with modest optimizations, evaluate at compile |
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482 // time, and maybe eliminate the branch completely. |
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483 T y; |
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484 if (octave_int_base<T>::min_val () < -octave_int_base<T>::max_val () |
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485 && x == octave_int_base<T>::min_val ()) |
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486 { |
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487 y = octave_int_base<T>::max_val (); |
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488 } |
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489 else |
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490 y = (x < 0) ? -x : x; |
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491 return y; |
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492 #endif |
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493 } |
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494 |
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495 static T |
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496 signum (T x) |
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497 { |
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498 // With modest optimizations, this will compile without a jump. |
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499 return ((x > 0) ? 1 : 0) - signbit (x); |
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500 } |
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|
501 |
8333 | 502 // FIXME -- we do not have an authority what signed shifts should |
503 // exactly do, so we define them the easy way. Note that Matlab does | |
504 // not define signed shifts. | |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
505 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
506 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
507 rshift (T x, int n) { return x >> n; } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
508 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
509 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
510 lshift (T x, int n) { return x << n; } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
511 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
512 // Minus has problems similar to abs. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
513 static T |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
514 minus (T x) |
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 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
517 T y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
518 if (y == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
519 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
520 --y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
521 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
522 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
523 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
524 T y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
525 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
|
526 && x == octave_int_base<T>::min_val ()) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
527 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
528 y = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
529 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
530 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
531 y = -x; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
532 return y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
533 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
534 } |
7521
6f10bbb2854a
avoid some GCC warnings for unsigned comparisons
John W. Eaton <jwe@octave.org>
parents:
7503
diff
changeset
|
535 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
536 static T |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
537 add (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
538 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
539 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
540 // 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
|
541 // 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
|
542 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
543 T u = static_cast<UT> (x) + static_cast<UT> (y); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
544 T ux = u ^ x, uy = u ^ y; |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
545 if ((ux & uy) < 0) |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
546 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
547 u = octave_int_base<T>::max_val () + signbit (~u); |
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 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
550 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
551 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
552 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
553 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
554 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
555 if (x < octave_int_base<T>::min_val () - y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
556 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
557 u = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
558 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
559 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
560 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
561 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
562 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
563 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
564 if (x > octave_int_base<T>::max_val () - y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
565 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
566 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
567 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
568 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
569 u = x + y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
570 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
571 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
572 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
573 #endif |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
574 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
575 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
576 // This is very similar to addition. |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
577 static T |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
578 sub (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
579 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
580 #ifdef HAVE_FAST_INT_OPS |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
581 // 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
|
582 // 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
|
583 // actually return int. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
584 T u = static_cast<UT> (x) - static_cast<UT> (y); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
585 T ux = u ^ x, uy = u ^ ~y; |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
586 if ((ux & uy) < 0) |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
587 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
588 u = octave_int_base<T>::max_val () + signbit (~u); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
589 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
590 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
591 #else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
592 // We shall carefully avoid anything that may overflow. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
593 T u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
594 if (y < 0) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
595 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
596 if (x > octave_int_base<T>::max_val () + y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
597 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
598 u = octave_int_base<T>::max_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
599 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
600 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
601 u = x - y; |
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 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
605 if (x < octave_int_base<T>::min_val () + y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
606 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
607 u = octave_int_base<T>::min_val (); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
608 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
609 else |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
610 u = x - y; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
611 } |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
612 |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
613 return u; |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
614 #endif |
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 |
8185
69c5cce38c29
implement 64-bit arithmetics
Jaroslav Hajek <highegg@gmail.com>
parents:
8169
diff
changeset
|
617 // Multiplication is done using promotion to wider integer type. If there is |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
618 // no suitable promotion type, this operation *MUST* be specialized. |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
619 static T |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
620 mul (T x, T y) |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
621 { |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
622 // Promotion type for multiplication (if exists). |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
623 typedef typename query_integer_type<2*sizeof (T), true>::type mptype; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
624 return truncate_int (static_cast<mptype> (x) |
8169
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
625 * static_cast<mptype> (y)); |
66bc6f9b4f72
rewrite integer arithmetics and conversions
Jaroslav Hajek <highegg@gmail.com>
parents:
8104
diff
changeset
|
626 } |
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627 |
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628 // Division. |
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|
629 static T |
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|
630 div (T x, T y) |
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|
631 { |
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632 T z; |
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|
633 if (y == 0) |
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634 { |
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|
635 if (x < 0) |
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636 z = octave_int_base<T>::min_val (); |
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637 else if (x != 0) |
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638 z = octave_int_base<T>::max_val (); |
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639 else |
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640 z = 0; |
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|
641 } |
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642 else if (y < 0) |
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643 { |
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644 // This is a special case that overflows as well. |
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645 if (y == -1 && x == octave_int_base<T>::min_val ()) |
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646 { |
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|
647 z = octave_int_base<T>::max_val (); |
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648 } |
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649 else |
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650 { |
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651 z = x / y; |
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652 T w = -octave_int_abs (x % y); // Can't overflow, but std::abs (x) can! |
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653 if (w <= y - w) |
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654 z -= 1 - (signbit (x) << 1); |
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655 } |
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656 } |
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657 else |
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658 { |
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659 z = x / y; |
8333 | 660 // FIXME -- this is a workaround due to MSVC's absence of |
661 // std::abs (int64_t). The call to octave_int_abs can't | |
662 // overflow, but std::abs (x) can! | |
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|
663 T w = octave_int_abs (x % y); |
8333 | 664 |
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665 if (w >= y - w) |
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666 z += 1 - (signbit (x) << 1); |
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667 } |
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|
668 return z; |
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|
669 } |
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|
670 |
10436
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|
671 // Remainder. |
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672 static T |
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673 rem (T x, T y) |
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|
674 { |
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675 return y != 0 ? x % y : 0; |
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676 } |
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|
677 |
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|
678 // Modulus. Note the weird y = 0 case for Matlab compatibility. |
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|
679 static T |
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680 mod (T x, T y) |
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681 { |
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682 if (y != 0) |
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683 { |
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684 T r = x % y; |
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685 return ((r < 0) != (y < 0)) ? r + y : r; |
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|
686 } |
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687 else |
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|
688 return x; |
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|
689 } |
7521
6f10bbb2854a
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7503
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|
690 }; |
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|
691 |
8185
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|
692 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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693 // Handle 64-bit multiply using long double |
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694 template <> |
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695 inline int64_t |
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696 octave_int_arith_base<int64_t, true>:: mul (int64_t x, int64_t y) |
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|
697 { |
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|
698 long double p = static_cast<long double> (x) * static_cast<long double> (y); |
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699 // NOTE: We could maybe do it with a single branch if HAVE_FAST_INT_OPS, but it |
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700 // would require one more runtime conversion, so the question is whether it would |
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701 // really be faster. |
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702 if (p > static_cast<long double> (octave_int_base<int64_t>::max_val ())) |
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|
703 { |
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704 return octave_int_base<int64_t>::max_val (); |
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|
705 } |
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706 else if (p < static_cast<long double> (octave_int_base<int64_t>::min_val ())) |
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707 { |
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708 return octave_int_base<int64_t>::min_val (); |
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|
709 } |
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710 else |
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711 return static_cast<int64_t> (p); |
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712 } |
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713 #else |
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714 // Special handler for 64-bit integer multiply. |
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715 template <> |
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716 OCTAVE_API int64_t |
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717 octave_int_arith_base<int64_t, true>::mul (int64_t, int64_t); |
8185
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718 #endif |
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719 |
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|
720 // This class simply selects the proper arithmetics. |
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721 template<class T> |
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722 class octave_int_arith |
8169
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723 : public octave_int_arith_base<T, std::numeric_limits<T>::is_signed> |
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724 {}; |
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|
725 |
4902 | 726 template <class T> |
727 class | |
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|
728 octave_int : public octave_int_base<T> |
4902 | 729 { |
730 public: | |
4943 | 731 typedef T val_type; |
732 | |
4902 | 733 octave_int (void) : ival () { } |
734 | |
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735 octave_int (T i) : ival (i) { } |
4902 | 736 |
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737 octave_int (double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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738 |
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739 octave_int (float d) : ival (octave_int_base<T>::convert_real (d)) { } |
6402 | 740 |
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741 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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742 octave_int (long double d) : ival (octave_int_base<T>::convert_real (d)) { } |
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743 #endif |
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|
744 |
4902 | 745 octave_int (bool b) : ival (b) { } |
746 | |
747 template <class U> | |
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748 octave_int (const U& i) : ival(octave_int_base<T>::truncate_int (i)) { } |
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|
749 |
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|
750 template <class U> |
4902 | 751 octave_int (const octave_int<U>& i) |
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752 : ival (octave_int_base<T>::truncate_int (i.value ())) { } |
4902 | 753 |
754 octave_int (const octave_int<T>& i) : ival (i.ival) { } | |
755 | |
756 octave_int& operator = (const octave_int<T>& i) | |
757 { | |
758 ival = i.ival; | |
759 return *this; | |
760 } | |
761 | |
762 T value (void) const { return ival; } | |
763 | |
4949 | 764 const unsigned char * iptr (void) const |
765 { return reinterpret_cast<const unsigned char *> (& ival); } | |
766 | |
4902 | 767 bool operator ! (void) const { return ! ival; } |
768 | |
7198 | 769 bool bool_value (void) const { return static_cast<bool> (value ()); } |
770 | |
771 char char_value (void) const { return static_cast<char> (value ()); } | |
772 | |
773 double double_value (void) const { return static_cast<double> (value ()); } | |
774 | |
775 float float_value (void) const { return static_cast<float> (value ()); } | |
776 | |
7177 | 777 operator T (void) const { return value (); } |
778 | |
7198 | 779 // char and bool operators intentionally omitted. |
5533 | 780 |
7198 | 781 operator double (void) const { return double_value (); } |
4902 | 782 |
7198 | 783 operator float (void) const { return float_value (); } |
5030 | 784 |
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785 octave_int<T> |
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|
786 operator + () const |
66bc6f9b4f72
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|
787 { return *this; } |
66bc6f9b4f72
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diff
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|
788 |
66bc6f9b4f72
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|
789 // unary operators & mappers |
66bc6f9b4f72
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|
790 #define OCTAVE_INT_UN_OP(OPNAME,NAME) \ |
66bc6f9b4f72
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|
791 inline octave_int<T> \ |
66bc6f9b4f72
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|
792 OPNAME () const \ |
66bc6f9b4f72
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|
793 { return octave_int_arith<T>::NAME (ival); } |
4902 | 794 |
8169
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|
795 OCTAVE_INT_UN_OP(operator -, minus) |
66bc6f9b4f72
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|
796 OCTAVE_INT_UN_OP(abs, abs) |
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|
797 OCTAVE_INT_UN_OP(signum, signum) |
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|
798 |
8185
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diff
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|
799 #undef OCTAVE_INT_UN_OP |
4902 | 800 |
8169
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rewrite integer arithmetics and conversions
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|
801 // Homogeneous binary integer operations. |
66bc6f9b4f72
rewrite integer arithmetics and conversions
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diff
changeset
|
802 #define OCTAVE_INT_BIN_OP(OP, NAME, ARGT) \ |
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|
803 inline octave_int<T> \ |
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|
804 operator OP (const ARGT& y) const \ |
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|
805 { return octave_int_arith<T>::NAME (ival, y); } \ |
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|
806 inline octave_int<T>& \ |
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|
807 operator OP##= (const ARGT& y) \ |
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|
808 { \ |
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|
809 ival = octave_int_arith<T>::NAME (ival, y); \ |
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|
810 return *this; \ |
4952 | 811 } |
812 | |
8169
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813 OCTAVE_INT_BIN_OP(+, add, octave_int<T>) |
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|
814 OCTAVE_INT_BIN_OP(-, sub, octave_int<T>) |
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|
815 OCTAVE_INT_BIN_OP(*, mul, octave_int<T>) |
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|
816 OCTAVE_INT_BIN_OP(/, div, octave_int<T>) |
10436
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diff
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|
817 OCTAVE_INT_BIN_OP(%, rem, octave_int<T>) |
8169
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818 OCTAVE_INT_BIN_OP(<<, lshift, int) |
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|
819 OCTAVE_INT_BIN_OP(>>, rshift, int) |
4952 | 820 |
8185
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implement 64-bit arithmetics
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|
821 #undef OCTAVE_INT_BIN_OP |
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7198
diff
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|
822 |
8185
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|
823 static octave_int<T> min (void) { return std::numeric_limits<T>::min (); } |
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|
824 static octave_int<T> max (void) { return std::numeric_limits<T>::max (); } |
4906 | 825 |
8169
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|
826 static int nbits (void) { return std::numeric_limits<T>::digits; } |
4909 | 827 |
4949 | 828 static int byte_size (void) { return sizeof(T); } |
829 | |
8169
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rewrite integer arithmetics and conversions
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|
830 static const char *type_name (); |
7997
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|
831 |
8185
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|
832 // The following are provided for convenience. |
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|
833 static const octave_int zero, one; |
11586
12df7854fa7c
strip trailing whitespace from source files
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11523
diff
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|
834 |
5900 | 835 // Unsafe. This function exists to support the MEX interface. |
836 // You should not use it anywhere else. | |
837 void *mex_get_data (void) const { return const_cast<T *> (&ival); } | |
838 | |
4902 | 839 private: |
840 | |
841 T ival; | |
842 }; | |
843 | |
10436
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844 template <class T> |
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|
845 inline octave_int<T> |
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|
846 rem (const octave_int<T>& x, const octave_int<T>& y) |
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|
847 { return octave_int_arith<T>::rem (x.value (), y.value ()); } |
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|
848 |
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|
849 template <class T> |
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|
850 inline octave_int<T> |
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|
851 mod (const octave_int<T>& x, const octave_int<T>& y) |
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|
852 { return octave_int_arith<T>::mod (x.value (), y.value ()); } |
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diff
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|
853 |
8169
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|
854 // No mixed integer binary operations! |
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|
855 |
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|
856 template <class T> |
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|
857 inline bool |
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|
858 xisnan (const octave_int<T>&) |
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|
859 { return false; } |
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|
860 |
8333 | 861 // FIXME -- can/should any of these be inline? |
7997
2b8952e133c9
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|
862 |
4902 | 863 template <class T> |
8169
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864 extern OCTAVE_API octave_int<T> |
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|
865 pow (const octave_int<T>&, const octave_int<T>&); |
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|
866 |
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|
867 template <class T> |
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|
868 extern OCTAVE_API octave_int<T> |
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|
869 pow (const double& a, const octave_int<T>& b); |
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|
870 |
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|
871 template <class T> |
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|
872 extern OCTAVE_API octave_int<T> |
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|
873 pow (const octave_int<T>& a, const double& b); |
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7789
diff
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|
874 |
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
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7789
diff
changeset
|
875 template <class T> |
8169
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|
876 extern OCTAVE_API octave_int<T> |
13012
15eefbd9d4e8
Implement a few missing automatic bsxfun power operators
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|
877 pow (const float& a, const octave_int<T>& b); |
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|
878 |
15eefbd9d4e8
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changeset
|
879 template <class T> |
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changeset
|
880 extern OCTAVE_API octave_int<T> |
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|
881 pow (const octave_int<T>& a, const float& b); |
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|
882 |
15eefbd9d4e8
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changeset
|
883 // FIXME: Do we really need a differently named single-precision |
15eefbd9d4e8
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changeset
|
884 // function integer power function here instead of an overloaded |
15eefbd9d4e8
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changeset
|
885 // one? |
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|
886 template <class T> |
15eefbd9d4e8
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|
887 extern OCTAVE_API octave_int<T> |
8169
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|
888 powf (const float& a, const octave_int<T>& b); |
4952 | 889 |
890 template <class T> | |
8169
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891 extern OCTAVE_API octave_int<T> |
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|
892 powf (const octave_int<T>& a, const float& b); |
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|
893 |
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|
894 // Binary relations |
4953 | 895 |
8169
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|
896 #define OCTAVE_INT_CMP_OP(OP, NAME) \ |
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897 template<class T1, class T2> \ |
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|
898 inline bool \ |
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|
899 operator OP (const octave_int<T1>& x, const octave_int<T2>& y) \ |
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|
900 { return octave_int_cmp_op::op<octave_int_cmp_op::NAME, T1, T2> \ |
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|
901 (x.value (), y.value ()); } |
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|
902 |
66bc6f9b4f72
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|
903 OCTAVE_INT_CMP_OP (<, lt) |
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|
904 OCTAVE_INT_CMP_OP (<=, le) |
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905 OCTAVE_INT_CMP_OP (>, gt) |
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906 OCTAVE_INT_CMP_OP (>=, ge) |
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|
907 OCTAVE_INT_CMP_OP (==, eq) |
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|
908 OCTAVE_INT_CMP_OP (!=, ne) |
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|
909 |
8185
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|
910 #undef OCTAVE_INT_CMP_OP |
4953 | 911 |
912 template <class T> | |
8169
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|
913 inline std::ostream& |
4902 | 914 operator << (std::ostream& os, const octave_int<T>& ival) |
915 { | |
916 os << ival.value (); | |
917 return os; | |
918 } | |
919 | |
920 template <class T> | |
8169
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|
921 inline std::istream& |
4902 | 922 operator >> (std::istream& is, octave_int<T>& ival) |
923 { | |
924 T tmp = 0; | |
925 is >> tmp; | |
926 ival = tmp; | |
927 return is; | |
928 } | |
929 | |
8169
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rewrite integer arithmetics and conversions
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|
930 // Bitwise operations |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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7598
diff
changeset
|
931 |
4906 | 932 #define OCTAVE_INT_BITCMP_OP(OP) \ |
933 template <class T> \ | |
934 octave_int<T> \ | |
935 operator OP (const octave_int<T>& x, const octave_int<T>& y) \ | |
8169
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|
936 { return x.value () OP y.value (); } |
4906 | 937 |
938 OCTAVE_INT_BITCMP_OP (&) | |
939 OCTAVE_INT_BITCMP_OP (|) | |
940 OCTAVE_INT_BITCMP_OP (^) | |
941 | |
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942 #undef OCTAVE_INT_BITCMP_OP |
4906 | 943 |
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|
944 // General bit shift. |
4909 | 945 template <class T> |
946 octave_int<T> | |
4920 | 947 bitshift (const octave_int<T>& a, int n, |
10312
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|
948 const octave_int<T>& mask = std::numeric_limits<T>::max ()) |
4909 | 949 { |
950 if (n > 0) | |
4952 | 951 return (a << n) & mask; |
4909 | 952 else if (n < 0) |
4952 | 953 return (a >> -n) & mask; |
4909 | 954 else |
8963
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diff
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955 return a & mask; |
4909 | 956 } |
957 | |
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958 typedef octave_int<int8_t> octave_int8; |
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959 typedef octave_int<int16_t> octave_int16; |
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960 typedef octave_int<int32_t> octave_int32; |
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961 typedef octave_int<int64_t> octave_int64; |
4902 | 962 |
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963 typedef octave_int<uint8_t> octave_uint8; |
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964 typedef octave_int<uint16_t> octave_uint16; |
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965 typedef octave_int<uint32_t> octave_uint32; |
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966 typedef octave_int<uint64_t> octave_uint64; |
5072 | 967 |
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968 #define OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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969 template <class T> \ |
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970 inline octave_int<T> \ |
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971 operator OP (const octave_int<T>& x, const double& y) \ |
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972 { return octave_int<T> (static_cast<double> (x) OP y); } \ |
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973 template <class T> \ |
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974 inline octave_int<T> \ |
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975 operator OP (const double& x, const octave_int<T>& y) \ |
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976 { return octave_int<T> (x OP static_cast<double> (y)); } \ |
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977 |
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978 #ifdef OCTAVE_INT_USE_LONG_DOUBLE |
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979 // Handle mixed op using long double |
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980 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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981 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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982 template <> \ |
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983 inline octave_int64 \ |
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984 operator OP (const double& x, const octave_int64& y) \ |
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985 { return octave_int64 (x OP static_cast<long double> (y.value ())); } \ |
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986 template <> \ |
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987 inline octave_uint64 \ |
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988 operator OP (const double& x, const octave_uint64& y) \ |
8191
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989 { return octave_uint64 (x OP static_cast<long double> (y.value ())); } \ |
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990 template <> \ |
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991 inline octave_int64 \ |
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992 operator OP (const octave_int64& x, const double& y) \ |
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993 { return octave_int64 (static_cast<long double> (x.value ()) OP y); } \ |
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994 template <> \ |
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995 inline octave_uint64 \ |
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996 operator OP (const octave_uint64& x, const double& y) \ |
8191
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997 { return octave_uint64 (static_cast<long double> (x.value ()) OP y); } |
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998 |
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999 #else |
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1000 // external handlers |
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1001 #define OCTAVE_INT_DOUBLE_BIN_OP(OP) \ |
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1002 OCTAVE_INT_DOUBLE_BIN_OP0(OP) \ |
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1003 template <> \ |
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1004 OCTAVE_API octave_int64 \ |
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1005 operator OP (const double&, const octave_int64&); \ |
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1006 template <> \ |
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1007 OCTAVE_API octave_uint64 \ |
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1008 operator OP (const double&, const octave_uint64&); \ |
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1009 template <> \ |
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1010 OCTAVE_API octave_int64 \ |
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1011 operator OP (const octave_int64&, const double&); \ |
7521
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7503
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|
1012 template <> \ |
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|
1013 OCTAVE_API octave_uint64 \ |
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1014 operator OP (const octave_uint64&, const double&); |
5072 | 1015 |
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1016 #endif |
5072 | 1017 |
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1018 OCTAVE_INT_DOUBLE_BIN_OP (+) |
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1019 OCTAVE_INT_DOUBLE_BIN_OP (-) |
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1020 OCTAVE_INT_DOUBLE_BIN_OP (*) |
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1021 OCTAVE_INT_DOUBLE_BIN_OP (/) |
5072 | 1022 |
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1023 #undef OCTAVE_INT_DOUBLE_BIN_OP0 |
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1024 #undef OCTAVE_INT_DOUBLE_BIN_OP |
5072 | 1025 |
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1026 #define OCTAVE_INT_DOUBLE_CMP_OP(OP,NAME) \ |
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1027 template <class T> \ |
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|
1028 inline bool \ |
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|
1029 operator OP (const octave_int<T>& x, const double& y) \ |
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|
1030 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x.value (), y); } \ |
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1031 template <class T> \ |
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|
1032 inline bool \ |
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|
1033 operator OP (const double& x, const octave_int<T>& y) \ |
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1034 { return octave_int_cmp_op::mop<octave_int_cmp_op::NAME> (x, y.value ()); } |
5072 | 1035 |
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1036 OCTAVE_INT_DOUBLE_CMP_OP (<, lt) |
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1037 OCTAVE_INT_DOUBLE_CMP_OP (<=, le) |
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1038 OCTAVE_INT_DOUBLE_CMP_OP (>=, ge) |
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1039 OCTAVE_INT_DOUBLE_CMP_OP (>, gt) |
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1040 OCTAVE_INT_DOUBLE_CMP_OP (==, eq) |
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1041 OCTAVE_INT_DOUBLE_CMP_OP (!=, ne) |
5072 | 1042 |
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1043 #undef OCTAVE_INT_DOUBLE_CMP_OP |
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1044 |
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1045 // Floats are handled by simply converting to doubles. |
5072 | 1046 |
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1047 #define OCTAVE_INT_FLOAT_BIN_OP(OP) \ |
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1048 template <class T> \ |
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1049 inline octave_int<T> \ |
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1050 operator OP (const octave_int<T>& x, float y) \ |
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1051 { return x OP static_cast<double> (y); } \ |
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1052 template <class T> \ |
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1053 inline octave_int<T> \ |
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1054 operator OP (float x, const octave_int<T>& y) \ |
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1055 { return static_cast<double> (x) OP y; } |
5072 | 1056 |
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1057 OCTAVE_INT_FLOAT_BIN_OP (+) |
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1058 OCTAVE_INT_FLOAT_BIN_OP (-) |
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1059 OCTAVE_INT_FLOAT_BIN_OP (*) |
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1060 OCTAVE_INT_FLOAT_BIN_OP (/) |
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1061 |
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1062 #undef OCTAVE_INT_FLOAT_BIN_OP |
5072 | 1063 |
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1064 #define OCTAVE_INT_FLOAT_CMP_OP(OP) \ |
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1065 template <class T> \ |
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1066 inline bool \ |
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1067 operator OP (const octave_int<T>& x, const float& y) \ |
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1068 { return x OP static_cast<double> (y); } \ |
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1069 template <class T> \ |
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|
1070 bool \ |
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1071 operator OP (const float& x, const octave_int<T>& y) \ |
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1072 { return static_cast<double> (x) OP y; } |
4902 | 1073 |
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parents:
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1074 OCTAVE_INT_FLOAT_CMP_OP (<) |
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parents:
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1075 OCTAVE_INT_FLOAT_CMP_OP (<=) |
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parents:
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1076 OCTAVE_INT_FLOAT_CMP_OP (>=) |
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parents:
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1077 OCTAVE_INT_FLOAT_CMP_OP (>) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
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1078 OCTAVE_INT_FLOAT_CMP_OP (==) |
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parents:
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1079 OCTAVE_INT_FLOAT_CMP_OP (!=) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
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1080 |
8185
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1081 #undef OCTAVE_INT_FLOAT_CMP_OP |
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1082 |
9743
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parents:
9648
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1083 template <class T> |
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parents:
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1084 octave_int<T> |
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parents:
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1085 xmax (const octave_int<T>& x, const octave_int<T>& y) |
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parents:
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1086 { |
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parents:
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1087 const T xv = x.value (), yv = y.value (); |
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1088 return octave_int<T> (xv >= yv ? xv : yv); |
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parents:
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1089 } |
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parents:
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1090 |
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parents:
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1091 template <class T> |
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parents:
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1092 octave_int<T> |
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parents:
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1093 xmin (const octave_int<T>& x, const octave_int<T>& y) |
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1094 { |
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1095 const T xv = x.value (), yv = y.value (); |
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1096 return octave_int<T> (xv <= yv ? xv : yv); |
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1097 } |
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1098 |
4902 | 1099 #endif |